Centralizers of semisimple elements in D4_ad(q)
-----------------------------------------------------------

|G(q)| = q^12 phi1^4 phi2^4 phi3 phi4^2 phi6

Semisimple class types:
i = 1: Pi = [ 1, 2, 3, 4 ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [1,1,1]
      Dynkin type is D_4(q)
      Order of center |Z^F|: q^0
      Numbers of classes in class type:
        q congruent 0 modulo 4:   q^0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   q^0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 1 .. 13 ]
      elements of other class types in center:
[  ]

i = 2: Pi = [ 1, 2, 4, 24 ]
  j = 5: Omega of order 4, action on Pi: <( 1, 2)( 4,24), ( 1, 2)( 4,24)>
    k = 1: F-action on Pi is ()      [2,5,1]
      Dynkin type is (A_1(q) + A_1(q) + A_1(q) + A_1(q)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 4, 2, 4, 7, 8, 6, 4, 8, 7, 6, 2, 6, 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ] ]

    k = 2: F-action on Pi is ( 1, 2)( 4,24)      [2,5,2]
      Dynkin type is (A_1(q^2) + A_1(q^2)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 5, 5, 9 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ] ]

    k = 3: F-action on Pi is ( 1, 4)( 2,24)      [2,5,3]
      Dynkin type is (A_1(q^2) + A_1(q^2)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 12, 12, 9 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ] ]

    k = 4: F-action on Pi is ( 1,24)( 2, 4)      [2,5,4]
      Dynkin type is (A_1(q^2) + A_1(q^2)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 13, 13, 9 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ] ]

i = 3: Pi = [ 1, 2, 3 ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [3,1,1]
      Dynkin type is A_3(q) + T(phi1)
      Order of center |Z^F|: q - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/2*( q-2 )
        q congruent 1 modulo 4:   1/2*( q-3 )
        q congruent 2 modulo 4:   1/2*( q-2 )
        q congruent 3 modulo 4:   1/2*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 2, 10, 5 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 3, 2, 1, 1 ] ]

    k = 2: F-action on Pi is (1,2)      [3,1,2]
      Dynkin type is ^2A_3(q) + T(phi2)
      Order of center |Z^F|: q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/2*q
        q congruent 1 modulo 4:   1/2*( q-1 )
        q congruent 2 modulo 4:   1/2*q
        q congruent 3 modulo 4:   1/2*( q-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 3, 6, 2, 11, 5 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 3, 2, 2, 1 ] ]

  j = 2: Omega of order 2, action on Pi: <(1,2)>
    k = 1: F-action on Pi is ()      [3,2,1]
      Dynkin type is (A_3(q) + T(phi1)).2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 2, 10, 5 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ] ]

    k = 2: F-action on Pi is (1,2)      [3,2,2]
      Dynkin type is (^2A_3(q) + T(phi2)).2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 3, 6, 2, 11, 5 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ] ]

i = 4: Pi = [ 1, 2, 4 ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [4,1,1]
      Dynkin type is A_1(q) + A_1(q) + A_1(q) + T(phi1)
      Order of center |Z^F|: q - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/2*( q-2 )
        q congruent 1 modulo 4:   1/2*( q-3 )
        q congruent 2 modulo 4:   1/2*( q-2 )
        q congruent 3 modulo 4:   1/2*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 4, 8, 4, 7, 2, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ] ]

    k = 2: F-action on Pi is ()      [4,1,2]
      Dynkin type is A_1(q) + A_1(q) + A_1(q) + T(phi2)
      Order of center |Z^F|: q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/2*q
        q congruent 1 modulo 4:   1/2*( q-1 )
        q congruent 2 modulo 4:   1/2*q
        q congruent 3 modulo 4:   1/2*( q-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 2, 7, 6, 8, 6, 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ] ]

i = 5: Pi = [ 1, 3, 4 ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [5,1,1]
      Dynkin type is A_3(q) + T(phi1)
      Order of center |Z^F|: q - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/2*( q-2 )
        q congruent 1 modulo 4:   1/2*( q-3 )
        q congruent 2 modulo 4:   1/2*( q-2 )
        q congruent 3 modulo 4:   1/2*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 7, 10, 12 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 5, 2, 1, 1 ] ]

    k = 2: F-action on Pi is (1,4)      [5,1,2]
      Dynkin type is ^2A_3(q) + T(phi2)
      Order of center |Z^F|: q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/2*q
        q congruent 1 modulo 4:   1/2*( q-1 )
        q congruent 2 modulo 4:   1/2*q
        q congruent 3 modulo 4:   1/2*( q-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 3, 6, 7, 11, 12 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 5, 2, 2, 1 ] ]

  j = 2: Omega of order 2, action on Pi: <(1,4)>
    k = 1: F-action on Pi is ()      [5,2,1]
      Dynkin type is (A_3(q) + T(phi1)).2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 7, 10, 12 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ] ]

    k = 2: F-action on Pi is (1,4)      [5,2,2]
      Dynkin type is (^2A_3(q) + T(phi2)).2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 3, 6, 7, 11, 12 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ] ]

i = 6: Pi = [ 2, 3, 4 ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [6,1,1]
      Dynkin type is A_3(q) + T(phi1)
      Order of center |Z^F|: q - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/2*( q-2 )
        q congruent 1 modulo 4:   1/2*( q-3 )
        q congruent 2 modulo 4:   1/2*( q-2 )
        q congruent 3 modulo 4:   1/2*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 8, 10, 13 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 6, 2, 1, 1 ] ]

    k = 2: F-action on Pi is (2,4)      [6,1,2]
      Dynkin type is ^2A_3(q) + T(phi2)
      Order of center |Z^F|: q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/2*q
        q congruent 1 modulo 4:   1/2*( q-1 )
        q congruent 2 modulo 4:   1/2*q
        q congruent 3 modulo 4:   1/2*( q-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 3, 6, 8, 11, 13 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 6, 2, 2, 1 ] ]

  j = 2: Omega of order 2, action on Pi: <(2,4)>
    k = 1: F-action on Pi is ()      [6,2,1]
      Dynkin type is (A_3(q) + T(phi1)).2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 8, 10, 13 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ] ]

    k = 2: F-action on Pi is (2,4)      [6,2,2]
      Dynkin type is (^2A_3(q) + T(phi2)).2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 3, 6, 8, 11, 13 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ] ]

i = 7: Pi = [ 1, 2 ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [7,1,1]
      Dynkin type is A_1(q) + A_1(q) + T(phi1^2)
      Order of center |Z^F|: q^2 - 2*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^2-6*q+8 )
        q congruent 1 modulo 4:   1/8*( q^2-8*q+15 )
        q congruent 2 modulo 4:   1/8*( q^2-6*q+8 )
        q congruent 3 modulo 4:   1/8*( q^2-8*q+15 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 4, 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 1, 4 ], [ 3, 2, 1, 2 ], 
  [ 4, 1, 1, 4 ], [ 7, 2, 1, 4 ], [ 7, 3, 1, 4 ], [ 7, 4, 1, 2 ] ]

    k = 2: F-action on Pi is ()      [7,1,2]
      Dynkin type is A_1(q) + A_1(q) + T(phi1 phi2)
      Order of center |Z^F|: q^2 - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/4*( q^2-2*q )
        q congruent 1 modulo 4:   1/4*( q^2-2*q+1 )
        q congruent 2 modulo 4:   1/4*( q^2-2*q )
        q congruent 3 modulo 4:   1/4*( q^2-2*q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 8, 7, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], 
  [ 7, 2, 2, 2 ], [ 7, 4, 2, 2 ] ]

    k = 3: F-action on Pi is ()      [7,1,3]
      Dynkin type is A_1(q) + A_1(q) + T(phi2^2)
      Order of center |Z^F|: q^2 + 2*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^2-2*q )
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   1/8*( q^2-2*q )
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 6, 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 2, 4 ], [ 3, 2, 2, 2 ], 
  [ 4, 1, 2, 4 ], [ 7, 2, 3, 4 ], [ 7, 3, 2, 4 ], [ 7, 4, 3, 2 ] ]

    k = 4: F-action on Pi is (1,2)      [7,1,4]
      Dynkin type is A_1(q^2) + T(phi1 phi2)
      Order of center |Z^F|: q^2 - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/4*( q^2-2*q )
        q congruent 1 modulo 4:   1/4*( q^2-4*q+3 )
        q congruent 2 modulo 4:   1/4*( q^2-2*q )
        q congruent 3 modulo 4:   1/4*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 5 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 2, 4 ], [ 2, 2, 2, 2 ], [ 2, 3, 2, 2 ], 
  [ 2, 4, 2, 2 ], [ 2, 5, 2, 1 ], [ 3, 1, 1, 2 ], [ 3, 1, 2, 2 ], 
  [ 3, 2, 1, 1 ], [ 3, 2, 2, 1 ], [ 7, 2, 4, 2 ], [ 7, 3, 3, 2 ], 
  [ 7, 3, 4, 2 ], [ 7, 4, 4, 1 ] ]

    k = 5: F-action on Pi is (1,2)      [7,1,5]
      Dynkin type is A_1(q^2) + T(phi4)
      Order of center |Z^F|: q^2 + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/4*q^2
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   1/4*q^2
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 5, 9 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 2, 4 ], [ 2, 2, 2, 2 ], [ 2, 3, 2, 2 ], 
  [ 2, 4, 2, 2 ], [ 2, 5, 2, 1 ], [ 7, 2, 5, 2 ], [ 7, 4, 5, 2 ] ]

  j = 3: Omega of order 2, action on Pi: <(1,2)>
    k = 1: F-action on Pi is ()      [7,3,1]
      Dynkin type is (A_1(q) + A_1(q) + T(phi1^2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 4, 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 2, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 1, 2 ], 
  [ 3, 2, 1, 2 ], [ 7, 4, 1, 2 ] ]

    k = 2: F-action on Pi is ()      [7,3,2]
      Dynkin type is (A_1(q) + A_1(q) + T(phi2^2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 6, 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 2, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 2, 2 ], 
  [ 3, 2, 2, 2 ], [ 7, 4, 3, 2 ] ]

    k = 3: F-action on Pi is (1,2)      [7,3,3]
      Dynkin type is (A_1(q^2) + T(phi1 phi2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 5 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 2, 2, 2 ], [ 2, 5, 2, 1 ], [ 3, 1, 2, 2 ], 
  [ 3, 2, 1, 1 ], [ 3, 2, 2, 1 ], [ 7, 4, 4, 1 ] ]

    k = 4: F-action on Pi is (1,2)      [7,3,4]
      Dynkin type is (A_1(q^2) + T(phi1 phi2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 5 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 2, 2, 2 ], [ 2, 5, 2, 1 ], [ 3, 1, 1, 2 ], 
  [ 3, 2, 1, 1 ], [ 3, 2, 2, 1 ], [ 7, 4, 4, 1 ] ]

i = 8: Pi = [ 1, 3 ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [8,1,1]
      Dynkin type is A_2(q) + T(phi1^2)
      Order of center |Z^F|: q^2 - 2*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/2*( q^2-5*q+6 )
        q congruent 1 modulo 4:   1/2*( q^2-5*q+6 )
        q congruent 2 modulo 4:   1/2*( q^2-5*q+6 )
        q congruent 3 modulo 4:   1/2*( q^2-5*q+6 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 10 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 3, 1, 1, 2 ], [ 3, 2, 1, 1 ], [ 5, 1, 1, 2 ], 
  [ 5, 2, 1, 1 ], [ 6, 1, 1, 2 ], [ 6, 2, 1, 1 ], [ 8, 2, 1, 1 ] ]

    k = 2: F-action on Pi is (1,3)      [8,1,2]
      Dynkin type is ^2A_2(q) + T(phi2^2)
      Order of center |Z^F|: q^2 + 2*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/2*( q^2-q )
        q congruent 1 modulo 4:   1/2*( q^2-q )
        q congruent 2 modulo 4:   1/2*( q^2-q )
        q congruent 3 modulo 4:   1/2*( q^2-q )
      Fusion of maximal tori of C^F in those of G^F:
        [ 3, 6, 11 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 3, 1, 2, 2 ], [ 3, 2, 2, 1 ], [ 5, 1, 2, 2 ], 
  [ 5, 2, 2, 1 ], [ 6, 1, 2, 2 ], [ 6, 2, 2, 1 ], [ 8, 2, 2, 1 ] ]

i = 9: Pi = [ 1, 4 ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [9,1,1]
      Dynkin type is A_1(q) + A_1(q) + T(phi1^2)
      Order of center |Z^F|: q^2 - 2*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^2-6*q+8 )
        q congruent 1 modulo 4:   1/8*( q^2-8*q+15 )
        q congruent 2 modulo 4:   1/8*( q^2-6*q+8 )
        q congruent 3 modulo 4:   1/8*( q^2-8*q+15 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 4, 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 4 ], [ 5, 1, 1, 4 ], 
  [ 5, 2, 1, 2 ], [ 9, 2, 1, 4 ], [ 9, 3, 1, 4 ], [ 9, 4, 1, 2 ] ]

    k = 2: F-action on Pi is (1,4)      [9,1,2]
      Dynkin type is A_1(q^2) + T(phi1 phi2)
      Order of center |Z^F|: q^2 - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/4*( q^2-2*q )
        q congruent 1 modulo 4:   1/4*( q^2-4*q+3 )
        q congruent 2 modulo 4:   1/4*( q^2-2*q )
        q congruent 3 modulo 4:   1/4*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 12 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 3, 4 ], [ 2, 2, 3, 2 ], [ 2, 3, 3, 2 ], 
  [ 2, 4, 3, 2 ], [ 2, 5, 3, 1 ], [ 5, 1, 1, 2 ], [ 5, 1, 2, 2 ], 
  [ 5, 2, 1, 1 ], [ 5, 2, 2, 1 ], [ 9, 2, 3, 2 ], [ 9, 2, 4, 2 ], 
  [ 9, 3, 4, 2 ], [ 9, 4, 4, 1 ] ]

    k = 3: F-action on Pi is ()      [9,1,3]
      Dynkin type is A_1(q) + A_1(q) + T(phi2^2)
      Order of center |Z^F|: q^2 + 2*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^2-2*q )
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   1/8*( q^2-2*q )
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 6, 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 4 ], [ 5, 1, 2, 4 ], 
  [ 5, 2, 2, 2 ], [ 9, 2, 2, 4 ], [ 9, 3, 3, 4 ], [ 9, 4, 3, 2 ] ]

    k = 4: F-action on Pi is ()      [9,1,4]
      Dynkin type is A_1(q) + A_1(q) + T(phi1 phi2)
      Order of center |Z^F|: q^2 - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/4*( q^2-2*q )
        q congruent 1 modulo 4:   1/4*( q^2-2*q+1 )
        q congruent 2 modulo 4:   1/4*( q^2-2*q )
        q congruent 3 modulo 4:   1/4*( q^2-2*q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 8, 2, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], 
  [ 9, 3, 2, 2 ], [ 9, 4, 2, 2 ] ]

    k = 5: F-action on Pi is (1,4)      [9,1,5]
      Dynkin type is A_1(q^2) + T(phi4)
      Order of center |Z^F|: q^2 + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/4*q^2
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   1/4*q^2
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 12, 9 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 3, 4 ], [ 2, 2, 3, 2 ], [ 2, 3, 3, 2 ], 
  [ 2, 4, 3, 2 ], [ 2, 5, 3, 1 ], [ 9, 3, 5, 2 ], [ 9, 4, 5, 2 ] ]

  j = 2: Omega of order 2, action on Pi: <(1,4)>
    k = 1: F-action on Pi is ()      [9,2,1]
      Dynkin type is (A_1(q) + A_1(q) + T(phi1^2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 4, 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 3, 1, 2 ], [ 2, 5, 1, 1 ], [ 5, 1, 1, 2 ], 
  [ 5, 2, 1, 2 ], [ 9, 4, 1, 2 ] ]

    k = 2: F-action on Pi is ()      [9,2,2]
      Dynkin type is (A_1(q) + A_1(q) + T(phi2^2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 6, 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 3, 1, 2 ], [ 2, 5, 1, 1 ], [ 5, 1, 2, 2 ], 
  [ 5, 2, 2, 2 ], [ 9, 4, 3, 2 ] ]

    k = 3: F-action on Pi is (1,4)      [9,2,3]
      Dynkin type is (A_1(q^2) + T(phi1 phi2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 12 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 3, 3, 2 ], [ 2, 5, 3, 1 ], [ 5, 1, 1, 2 ], 
  [ 5, 2, 1, 1 ], [ 5, 2, 2, 1 ], [ 9, 4, 4, 1 ] ]

    k = 4: F-action on Pi is (1,4)      [9,2,4]
      Dynkin type is (A_1(q^2) + T(phi1 phi2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 12 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 3, 3, 2 ], [ 2, 5, 3, 1 ], [ 5, 1, 2, 2 ], 
  [ 5, 2, 1, 1 ], [ 5, 2, 2, 1 ], [ 9, 4, 4, 1 ] ]

i = 10: Pi = [ 2, 4 ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [10,1,1]
      Dynkin type is A_1(q) + A_1(q) + T(phi1^2)
      Order of center |Z^F|: q^2 - 2*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^2-6*q+8 )
        q congruent 1 modulo 4:   1/8*( q^2-8*q+15 )
        q congruent 2 modulo 4:   1/8*( q^2-6*q+8 )
        q congruent 3 modulo 4:   1/8*( q^2-8*q+15 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 4, 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 4 ], [ 6, 1, 1, 4 ], 
  [ 6, 2, 1, 2 ], [ 10, 2, 1, 4 ], [ 10, 3, 1, 4 ], [ 10, 4, 1, 2 ] ]

    k = 2: F-action on Pi is (2,4)      [10,1,2]
      Dynkin type is A_1(q^2) + T(phi1 phi2)
      Order of center |Z^F|: q^2 - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/4*( q^2-2*q )
        q congruent 1 modulo 4:   1/4*( q^2-4*q+3 )
        q congruent 2 modulo 4:   1/4*( q^2-2*q )
        q congruent 3 modulo 4:   1/4*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 13 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 4, 4 ], [ 2, 2, 4, 2 ], [ 2, 3, 4, 2 ], 
  [ 2, 4, 4, 2 ], [ 2, 5, 4, 1 ], [ 6, 1, 1, 2 ], [ 6, 1, 2, 2 ], 
  [ 6, 2, 1, 1 ], [ 6, 2, 2, 1 ], [ 10, 2, 2, 2 ], [ 10, 2, 4, 2 ], 
  [ 10, 3, 3, 2 ], [ 10, 4, 3, 1 ] ]

    k = 3: F-action on Pi is ()      [10,1,3]
      Dynkin type is A_1(q) + A_1(q) + T(phi2^2)
      Order of center |Z^F|: q^2 + 2*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^2-2*q )
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   1/8*( q^2-2*q )
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 6, 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 4 ], [ 6, 1, 2, 4 ], 
  [ 6, 2, 2, 2 ], [ 10, 2, 3, 4 ], [ 10, 3, 5, 4 ], [ 10, 4, 5, 2 ] ]

    k = 4: F-action on Pi is ()      [10,1,4]
      Dynkin type is A_1(q) + A_1(q) + T(phi1 phi2)
      Order of center |Z^F|: q^2 - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/4*( q^2-2*q )
        q congruent 1 modulo 4:   1/4*( q^2-2*q+1 )
        q congruent 2 modulo 4:   1/4*( q^2-2*q )
        q congruent 3 modulo 4:   1/4*( q^2-2*q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 7, 2, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], 
  [ 10, 3, 2, 2 ], [ 10, 4, 2, 2 ] ]

    k = 5: F-action on Pi is (2,4)      [10,1,5]
      Dynkin type is A_1(q^2) + T(phi4)
      Order of center |Z^F|: q^2 + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/4*q^2
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   1/4*q^2
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 13, 9 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 4, 4 ], [ 2, 2, 4, 2 ], [ 2, 3, 4, 2 ], 
  [ 2, 4, 4, 2 ], [ 2, 5, 4, 1 ], [ 10, 3, 4, 2 ], [ 10, 4, 4, 2 ] ]

  j = 2: Omega of order 2, action on Pi: <(2,4)>
    k = 1: F-action on Pi is ()      [10,2,1]
      Dynkin type is (A_1(q) + A_1(q) + T(phi1^2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4, 4, 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 6, 1, 1, 2 ], 
  [ 6, 2, 1, 2 ], [ 10, 4, 1, 2 ] ]

    k = 2: F-action on Pi is (2,4)      [10,2,2]
      Dynkin type is (A_1(q^2) + T(phi1 phi2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 13 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 4, 4, 2 ], [ 2, 5, 4, 1 ], [ 6, 1, 1, 2 ], 
  [ 6, 2, 1, 1 ], [ 6, 2, 2, 1 ], [ 10, 4, 3, 1 ] ]

    k = 3: F-action on Pi is ()      [10,2,3]
      Dynkin type is (A_1(q) + A_1(q) + T(phi2^2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 6, 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 6, 1, 2, 2 ], 
  [ 6, 2, 2, 2 ], [ 10, 4, 5, 2 ] ]

    k = 4: F-action on Pi is (2,4)      [10,2,4]
      Dynkin type is (A_1(q^2) + T(phi1 phi2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/2*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/2*( q-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 13 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 4, 4, 2 ], [ 2, 5, 4, 1 ], [ 6, 1, 2, 2 ], 
  [ 6, 2, 1, 1 ], [ 6, 2, 2, 1 ], [ 10, 4, 3, 1 ] ]

i = 11: Pi = [ 1 ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [11,1,1]
      Dynkin type is A_1(q) + T(phi1^3)
      Order of center |Z^F|: q^3 - 3*q^2 + 3*q - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^3-10*q^2+32*q-32 )
        q congruent 1 modulo 4:   1/8*( q^3-10*q^2+29*q-20 )
        q congruent 2 modulo 4:   1/8*( q^3-10*q^2+32*q-32 )
        q congruent 3 modulo 4:   1/8*( q^3-10*q^2+29*q-24 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 1, 4 ], [ 3, 2, 1, 2 ], 
  [ 4, 1, 1, 6 ], [ 5, 1, 1, 4 ], [ 5, 2, 1, 2 ], [ 6, 1, 1, 4 ], 
  [ 6, 2, 1, 2 ], [ 7, 1, 1, 8 ], [ 7, 2, 1, 4 ], [ 7, 3, 1, 4 ], 
  [ 7, 4, 1, 2 ], [ 8, 1, 1, 8 ], [ 8, 2, 1, 4 ], [ 9, 1, 1, 8 ], 
  [ 9, 2, 1, 4 ], [ 9, 3, 1, 4 ], [ 9, 4, 1, 2 ], [ 10, 1, 1, 8 ], 
  [ 10, 2, 1, 4 ], [ 10, 3, 1, 4 ], [ 10, 4, 1, 2 ], [ 11, 2, 1, 4 ], 
  [ 11, 3, 1, 4 ], [ 11, 4, 1, 4 ], [ 11, 5, 1, 4 ], [ 11, 6, 1, 2 ] ]

    k = 2: F-action on Pi is ()      [11,1,2]
      Dynkin type is A_1(q) + T(phi1^2 phi2)
      Order of center |Z^F|: q^3 - q^2 - q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^3-4*q^2+4*q )
        q congruent 1 modulo 4:   1/8*( q^3-4*q^2+q+2 )
        q congruent 2 modulo 4:   1/8*( q^3-4*q^2+4*q )
        q congruent 3 modulo 4:   1/8*( q^3-4*q^2+q+6 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 4 ], [ 4, 1, 2, 2 ], 
  [ 5, 1, 1, 4 ], [ 5, 2, 1, 2 ], [ 7, 1, 2, 4 ], [ 7, 2, 2, 2 ], 
  [ 7, 4, 2, 2 ], [ 9, 1, 1, 8 ], [ 9, 2, 1, 4 ], [ 9, 3, 1, 4 ], 
  [ 9, 4, 1, 2 ], [ 10, 1, 4, 4 ], [ 10, 3, 2, 2 ], [ 10, 4, 2, 2 ], 
  [ 11, 2, 2, 4 ], [ 11, 3, 2, 4 ], [ 11, 4, 2, 4 ], [ 11, 5, 2, 4 ], 
  [ 11, 6, 2, 2 ] ]

    k = 3: F-action on Pi is ()      [11,1,3]
      Dynkin type is A_1(q) + T(phi1 phi2^2)
      Order of center |Z^F|: q^3 + q^2 - q - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^3-2*q^2 )
        q congruent 1 modulo 4:   1/8*( q^3-2*q^2-3*q+4 )
        q congruent 2 modulo 4:   1/8*( q^3-2*q^2 )
        q congruent 3 modulo 4:   1/8*( q^3-2*q^2-3*q )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 2, 4 ], [ 3, 2, 2, 2 ], 
  [ 4, 1, 1, 2 ], [ 4, 1, 2, 4 ], [ 7, 1, 3, 8 ], [ 7, 2, 3, 4 ], 
  [ 7, 3, 2, 4 ], [ 7, 4, 3, 2 ], [ 9, 1, 4, 4 ], [ 9, 3, 2, 2 ], 
  [ 9, 4, 2, 2 ], [ 10, 1, 4, 4 ], [ 10, 3, 2, 2 ], [ 10, 4, 2, 2 ], 
  [ 11, 2, 3, 4 ], [ 11, 3, 3, 4 ], [ 11, 4, 3, 4 ], [ 11, 5, 3, 4 ], 
  [ 11, 6, 3, 2 ] ]

    k = 4: F-action on Pi is ()      [11,1,4]
      Dynkin type is A_1(q) + T(phi1^2 phi2)
      Order of center |Z^F|: q^3 - q^2 - q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^3-4*q^2+4*q )
        q congruent 1 modulo 4:   1/8*( q^3-4*q^2+q+2 )
        q congruent 2 modulo 4:   1/8*( q^3-4*q^2+4*q )
        q congruent 3 modulo 4:   1/8*( q^3-4*q^2+q+6 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 4 ], [ 4, 1, 2, 2 ], 
  [ 6, 1, 1, 4 ], [ 6, 2, 1, 2 ], [ 7, 1, 2, 4 ], [ 7, 2, 2, 2 ], 
  [ 7, 4, 2, 2 ], [ 9, 1, 4, 4 ], [ 9, 3, 2, 2 ], [ 9, 4, 2, 2 ], 
  [ 10, 1, 1, 8 ], [ 10, 2, 1, 4 ], [ 10, 3, 1, 4 ], [ 10, 4, 1, 2 ], 
  [ 11, 2, 4, 4 ], [ 11, 3, 4, 4 ], [ 11, 4, 4, 4 ], [ 11, 5, 4, 4 ], 
  [ 11, 6, 4, 2 ] ]

    k = 5: F-action on Pi is ()      [11,1,5]
      Dynkin type is A_1(q) + T(phi1^2 phi2)
      Order of center |Z^F|: q^3 - q^2 - q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^3-4*q^2+4*q )
        q congruent 1 modulo 4:   1/8*( q^3-4*q^2+q+2 )
        q congruent 2 modulo 4:   1/8*( q^3-4*q^2+4*q )
        q congruent 3 modulo 4:   1/8*( q^3-4*q^2+q+6 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 1, 4 ], [ 3, 2, 1, 2 ], 
  [ 4, 1, 1, 4 ], [ 4, 1, 2, 2 ], [ 7, 1, 1, 8 ], [ 7, 2, 1, 4 ], 
  [ 7, 3, 1, 4 ], [ 7, 4, 1, 2 ], [ 9, 1, 4, 4 ], [ 9, 3, 2, 2 ], 
  [ 9, 4, 2, 2 ], [ 10, 1, 4, 4 ], [ 10, 3, 2, 2 ], [ 10, 4, 2, 2 ], 
  [ 11, 2, 5, 4 ], [ 11, 3, 5, 4 ], [ 11, 4, 5, 4 ], [ 11, 5, 5, 4 ], 
  [ 11, 6, 5, 2 ] ]

    k = 6: F-action on Pi is ()      [11,1,6]
      Dynkin type is A_1(q) + T(phi1 phi2^2)
      Order of center |Z^F|: q^3 + q^2 - q - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^3-2*q^2 )
        q congruent 1 modulo 4:   1/8*( q^3-2*q^2-3*q+4 )
        q congruent 2 modulo 4:   1/8*( q^3-2*q^2 )
        q congruent 3 modulo 4:   1/8*( q^3-2*q^2-3*q )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 4, 1, 2, 4 ], 
  [ 6, 1, 2, 4 ], [ 6, 2, 2, 2 ], [ 7, 1, 2, 4 ], [ 7, 2, 2, 2 ], 
  [ 7, 4, 2, 2 ], [ 9, 1, 4, 4 ], [ 9, 3, 2, 2 ], [ 9, 4, 2, 2 ], 
  [ 10, 1, 3, 8 ], [ 10, 2, 3, 4 ], [ 10, 3, 5, 4 ], [ 10, 4, 5, 2 ], 
  [ 11, 2, 6, 4 ], [ 11, 3, 6, 4 ], [ 11, 4, 6, 4 ], [ 11, 5, 6, 4 ], 
  [ 11, 6, 6, 2 ] ]

    k = 7: F-action on Pi is ()      [11,1,7]
      Dynkin type is A_1(q) + T(phi2^3)
      Order of center |Z^F|: q^3 + 3*q^2 + 3*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^3-4*q^2+4*q )
        q congruent 1 modulo 4:   1/8*( q^3-4*q^2+q+2 )
        q congruent 2 modulo 4:   1/8*( q^3-4*q^2+4*q )
        q congruent 3 modulo 4:   1/8*( q^3-4*q^2+q+6 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 2, 4 ], [ 3, 2, 2, 2 ], 
  [ 4, 1, 2, 6 ], [ 5, 1, 2, 4 ], [ 5, 2, 2, 2 ], [ 6, 1, 2, 4 ], 
  [ 6, 2, 2, 2 ], [ 7, 1, 3, 8 ], [ 7, 2, 3, 4 ], [ 7, 3, 2, 4 ], 
  [ 7, 4, 3, 2 ], [ 8, 1, 2, 8 ], [ 8, 2, 2, 4 ], [ 9, 1, 3, 8 ], 
  [ 9, 2, 2, 4 ], [ 9, 3, 3, 4 ], [ 9, 4, 3, 2 ], [ 10, 1, 3, 8 ], 
  [ 10, 2, 3, 4 ], [ 10, 3, 5, 4 ], [ 10, 4, 5, 2 ], [ 11, 2, 7, 4 ], 
  [ 11, 3, 7, 4 ], [ 11, 4, 7, 4 ], [ 11, 5, 7, 4 ], [ 11, 6, 7, 2 ] ]

    k = 8: F-action on Pi is ()      [11,1,8]
      Dynkin type is A_1(q) + T(phi1 phi2^2)
      Order of center |Z^F|: q^3 + q^2 - q - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^3-2*q^2 )
        q congruent 1 modulo 4:   1/8*( q^3-2*q^2-3*q+4 )
        q congruent 2 modulo 4:   1/8*( q^3-2*q^2 )
        q congruent 3 modulo 4:   1/8*( q^3-2*q^2-3*q )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 4, 1, 2, 4 ], 
  [ 5, 1, 2, 4 ], [ 5, 2, 2, 2 ], [ 7, 1, 2, 4 ], [ 7, 2, 2, 2 ], 
  [ 7, 4, 2, 2 ], [ 9, 1, 3, 8 ], [ 9, 2, 2, 4 ], [ 9, 3, 3, 4 ], 
  [ 9, 4, 3, 2 ], [ 10, 1, 4, 4 ], [ 10, 3, 2, 2 ], [ 10, 4, 2, 2 ], 
  [ 11, 2, 8, 4 ], [ 11, 3, 8, 4 ], [ 11, 4, 8, 4 ], [ 11, 5, 8, 4 ], 
  [ 11, 6, 8, 2 ] ]

  j = 2: Omega of order 2, action on Pi: <()>
    k = 1: F-action on Pi is ()      [11,2,1]
      Dynkin type is (A_1(q) + T(phi1^3)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 2, 1, 2 ], [ 4, 1, 1, 2 ], 
  [ 7, 2, 1, 4 ], [ 7, 4, 1, 2 ], [ 11, 6, 1, 2 ] ]

    k = 2: F-action on Pi is ()      [11,2,2]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 7, 2, 2, 2 ], 
  [ 7, 4, 2, 2 ], [ 11, 6, 2, 2 ] ]

    k = 3: F-action on Pi is ()      [11,2,3]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 2, 2, 2 ], [ 4, 1, 1, 2 ], 
  [ 7, 2, 3, 4 ], [ 7, 4, 3, 2 ], [ 11, 6, 3, 2 ] ]

    k = 4: F-action on Pi is ()      [11,2,4]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 7, 2, 2, 2 ], 
  [ 7, 4, 2, 2 ], [ 11, 6, 4, 2 ] ]

    k = 5: F-action on Pi is ()      [11,2,5]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 2, 1, 2 ], [ 4, 1, 2, 2 ], 
  [ 7, 2, 1, 4 ], [ 7, 4, 1, 2 ], [ 11, 6, 5, 2 ] ]

    k = 6: F-action on Pi is ()      [11,2,6]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 7, 2, 2, 2 ], 
  [ 7, 4, 2, 2 ], [ 11, 6, 6, 2 ] ]

    k = 7: F-action on Pi is ()      [11,2,7]
      Dynkin type is (A_1(q) + T(phi2^3)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 2, 2, 2 ], [ 4, 1, 2, 2 ], 
  [ 7, 2, 3, 4 ], [ 7, 4, 3, 2 ], [ 11, 6, 7, 2 ] ]

    k = 8: F-action on Pi is ()      [11,2,8]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 7, 2, 2, 2 ], 
  [ 7, 4, 2, 2 ], [ 11, 6, 8, 2 ] ]

  j = 3: Omega of order 2, action on Pi: <()>
    k = 1: F-action on Pi is ()      [11,3,1]
      Dynkin type is (A_1(q) + T(phi1^3)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 6, 2, 1, 2 ], 
  [ 10, 3, 1, 4 ], [ 10, 4, 1, 2 ], [ 11, 6, 1, 2 ] ]

    k = 2: F-action on Pi is ()      [11,3,2]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 10, 3, 2, 2 ], 
  [ 10, 4, 2, 2 ], [ 11, 6, 2, 2 ] ]

    k = 3: F-action on Pi is ()      [11,3,3]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 10, 3, 2, 2 ], 
  [ 10, 4, 2, 2 ], [ 11, 6, 3, 2 ] ]

    k = 4: F-action on Pi is ()      [11,3,4]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 6, 2, 1, 2 ], 
  [ 10, 3, 1, 4 ], [ 10, 4, 1, 2 ], [ 11, 6, 4, 2 ] ]

    k = 5: F-action on Pi is ()      [11,3,5]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 10, 3, 2, 2 ], 
  [ 10, 4, 2, 2 ], [ 11, 6, 5, 2 ] ]

    k = 6: F-action on Pi is ()      [11,3,6]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 6, 2, 2, 2 ], 
  [ 10, 3, 5, 4 ], [ 10, 4, 5, 2 ], [ 11, 6, 6, 2 ] ]

    k = 7: F-action on Pi is ()      [11,3,7]
      Dynkin type is (A_1(q) + T(phi2^3)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 6, 2, 2, 2 ], 
  [ 10, 3, 5, 4 ], [ 10, 4, 5, 2 ], [ 11, 6, 7, 2 ] ]

    k = 8: F-action on Pi is ()      [11,3,8]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 10, 3, 2, 2 ], 
  [ 10, 4, 2, 2 ], [ 11, 6, 8, 2 ] ]

  j = 4: Omega of order 2, action on Pi: <()>
    k = 1: F-action on Pi is ()      [11,4,1]
      Dynkin type is (A_1(q) + T(phi1^3)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 5, 2, 1, 2 ], 
  [ 9, 3, 1, 4 ], [ 9, 4, 1, 2 ], [ 11, 6, 1, 2 ] ]

    k = 2: F-action on Pi is ()      [11,4,2]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 5, 2, 1, 2 ], 
  [ 9, 3, 1, 4 ], [ 9, 4, 1, 2 ], [ 11, 6, 2, 2 ] ]

    k = 3: F-action on Pi is ()      [11,4,3]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 9, 3, 2, 2 ], 
  [ 9, 4, 2, 2 ], [ 11, 6, 3, 2 ] ]

    k = 4: F-action on Pi is ()      [11,4,4]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 9, 3, 2, 2 ], 
  [ 9, 4, 2, 2 ], [ 11, 6, 4, 2 ] ]

    k = 5: F-action on Pi is ()      [11,4,5]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 9, 3, 2, 2 ], 
  [ 9, 4, 2, 2 ], [ 11, 6, 5, 2 ] ]

    k = 6: F-action on Pi is ()      [11,4,6]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 9, 3, 2, 2 ], 
  [ 9, 4, 2, 2 ], [ 11, 6, 6, 2 ] ]

    k = 7: F-action on Pi is ()      [11,4,7]
      Dynkin type is (A_1(q) + T(phi2^3)).2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 5, 2, 2, 2 ], 
  [ 9, 3, 3, 4 ], [ 9, 4, 3, 2 ], [ 11, 6, 7, 2 ] ]

    k = 8: F-action on Pi is ()      [11,4,8]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 5, 2, 2, 2 ], 
  [ 9, 3, 3, 4 ], [ 9, 4, 3, 2 ], [ 11, 6, 8, 2 ] ]

  j = 6: Omega of order 4, action on Pi: <(), ()>
    k = 1: F-action on Pi is ()      [11,6,1]
      Dynkin type is (A_1(q) + T(phi1^3)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 4
        4, q congruent 1 modulo 4
        1, q congruent 2 modulo 4
        2, q congruent 3 modulo 4
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   0
      Fusion of maximal tori of C^F in those of G^F:
        [ 1, 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ] ]

    k = 2: F-action on Pi is ()      [11,6,2]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 4
        2, q congruent 1 modulo 4
        1, q congruent 2 modulo 4
        4, q congruent 3 modulo 4
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ] ]

    k = 3: F-action on Pi is ()      [11,6,3]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 4
        4, q congruent 1 modulo 4
        1, q congruent 2 modulo 4
        2, q congruent 3 modulo 4
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   0
      Fusion of maximal tori of C^F in those of G^F:
        [ 2, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ] ]

    k = 4: F-action on Pi is ()      [11,6,4]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 4
        2, q congruent 1 modulo 4
        1, q congruent 2 modulo 4
        4, q congruent 3 modulo 4
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ] ]

    k = 5: F-action on Pi is ()      [11,6,5]
      Dynkin type is (A_1(q) + T(phi1^2 phi2)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 4
        2, q congruent 1 modulo 4
        1, q congruent 2 modulo 4
        4, q congruent 3 modulo 4
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 4, 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ] ]

    k = 6: F-action on Pi is ()      [11,6,6]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 4
        4, q congruent 1 modulo 4
        1, q congruent 2 modulo 4
        2, q congruent 3 modulo 4
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   0
      Fusion of maximal tori of C^F in those of G^F:
        [ 8, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ] ]

    k = 7: F-action on Pi is ()      [11,6,7]
      Dynkin type is (A_1(q) + T(phi2^3)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 4
        2, q congruent 1 modulo 4
        1, q congruent 2 modulo 4
        4, q congruent 3 modulo 4
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   q^0
      Fusion of maximal tori of C^F in those of G^F:
        [ 6, 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ] ]

    k = 8: F-action on Pi is ()      [11,6,8]
      Dynkin type is (A_1(q) + T(phi1 phi2^2)).2.2
      Order of center |Z^F|: q^0 times
        1, q congruent 0 modulo 4
        4, q congruent 1 modulo 4
        1, q congruent 2 modulo 4
        2, q congruent 3 modulo 4
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   q^0
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   0
      Fusion of maximal tori of C^F in those of G^F:
        [ 7, 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ] ]

i = 12: Pi = [  ]
  j = 1: Omega trivial
    k = 1: F-action on Pi is ()      [12,1,1]
      Dynkin type is A_0(q) + T(phi1^4)
      Order of center |Z^F|: q^4 - 4*q^3 + 6*q^2 - 4*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/192*( q^4-16*q^3+92*q^2-224*q+192 )
        q congruent 1 modulo 4:   1/192*( q^4-16*q^3+74*q^2-56*q-195 )
        q congruent 2 modulo 4:   1/192*( q^4-16*q^3+92*q^2-224*q+192 )
        q congruent 3 modulo 4:   1/192*( q^4-16*q^3+74*q^2-56*q-147 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 12 ], [ 2, 2, 1, 6 ], [ 2, 3, 1, 6 ], 
  [ 2, 4, 1, 6 ], [ 2, 5, 1, 3 ], [ 3, 1, 1, 8 ], [ 3, 2, 1, 4 ], 
  [ 4, 1, 1, 24 ], [ 5, 1, 1, 8 ], [ 5, 2, 1, 4 ], [ 6, 1, 1, 8 ], 
  [ 6, 2, 1, 4 ], [ 7, 1, 1, 48 ], [ 7, 2, 1, 24 ], [ 7, 3, 1, 24 ], 
  [ 7, 4, 1, 12 ], [ 8, 1, 1, 32 ], [ 8, 2, 1, 16 ], [ 9, 1, 1, 48 ], 
  [ 9, 2, 1, 24 ], [ 9, 3, 1, 24 ], [ 9, 4, 1, 12 ], [ 10, 1, 1, 48 ], 
  [ 10, 2, 1, 24 ], [ 10, 3, 1, 24 ], [ 10, 4, 1, 12 ], [ 11, 1, 1, 96 ], 
  [ 11, 2, 1, 48 ], [ 11, 3, 1, 48 ], [ 11, 4, 1, 48 ], [ 11, 5, 1, 48 ], 
  [ 11, 6, 1, 24 ], [ 12, 2, 1, 96 ], [ 12, 3, 1, 96 ], [ 12, 4, 1, 96 ], 
  [ 12, 5, 1, 96 ], [ 12, 6, 1, 96 ], [ 12, 7, 1, 48 ], [ 12, 8, 1, 48 ], 
  [ 12, 9, 1, 48 ], [ 12, 10, 1, 48 ], [ 12, 11, 1, 48 ], [ 12, 12, 1, 48 ], 
  [ 12, 13, 1, 48 ], [ 12, 14, 1, 48 ], [ 12, 15, 1, 48 ], [ 12, 16, 1, 48 ] ]

    k = 2: F-action on Pi is ()      [12,1,2]
      Dynkin type is A_0(q) + T(phi1^2 phi2^2)
      Order of center |Z^F|: q^4 - 2*q^2 + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/32*( q^4-4*q^3+8*q )
        q congruent 1 modulo 4:   1/32*( q^4-4*q^3-10*q^2+52*q-39 )
        q congruent 2 modulo 4:   1/32*( q^4-4*q^3+8*q )
        q congruent 3 modulo 4:   1/32*( q^4-4*q^3-10*q^2+52*q-39 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 1, 2, 8 ], [ 2, 2, 1, 2 ], 
  [ 2, 2, 2, 4 ], [ 2, 3, 1, 2 ], [ 2, 3, 2, 4 ], [ 2, 4, 1, 2 ], 
  [ 2, 4, 2, 4 ], [ 2, 5, 1, 1 ], [ 2, 5, 2, 2 ], [ 3, 1, 1, 4 ], 
  [ 3, 1, 2, 4 ], [ 3, 2, 1, 2 ], [ 3, 2, 2, 2 ], [ 4, 1, 1, 4 ], 
  [ 4, 1, 2, 4 ], [ 7, 1, 1, 8 ], [ 7, 1, 3, 8 ], [ 7, 1, 4, 16 ], 
  [ 7, 2, 1, 4 ], [ 7, 2, 3, 4 ], [ 7, 2, 4, 8 ], [ 7, 3, 1, 4 ], 
  [ 7, 3, 2, 4 ], [ 7, 3, 3, 8 ], [ 7, 3, 4, 8 ], [ 7, 4, 1, 2 ], 
  [ 7, 4, 3, 2 ], [ 7, 4, 4, 4 ], [ 9, 1, 4, 8 ], [ 9, 3, 2, 4 ], 
  [ 9, 4, 2, 4 ], [ 10, 1, 4, 8 ], [ 10, 3, 2, 4 ], [ 10, 4, 2, 4 ], 
  [ 11, 1, 3, 16 ], [ 11, 1, 5, 16 ], [ 11, 2, 3, 8 ], [ 11, 2, 5, 8 ], 
  [ 11, 3, 3, 8 ], [ 11, 3, 5, 8 ], [ 11, 4, 3, 8 ], [ 11, 4, 5, 8 ], 
  [ 11, 5, 3, 8 ], [ 11, 5, 5, 8 ], [ 11, 6, 3, 4 ], [ 11, 6, 5, 4 ], 
  [ 12, 2, 3, 16 ], [ 12, 2, 8, 16 ], [ 12, 2, 12, 16 ], [ 12, 3, 2, 16 ], 
  [ 12, 4, 3, 16 ], [ 12, 4, 13, 16 ], [ 12, 5, 3, 16 ], [ 12, 6, 3, 16 ], 
  [ 12, 7, 3, 8 ], [ 12, 7, 7, 8 ], [ 12, 8, 3, 8 ], [ 12, 8, 8, 16 ], 
  [ 12, 8, 12, 8 ], [ 12, 9, 3, 8 ], [ 12, 9, 13, 8 ], [ 12, 10, 2, 8 ], 
  [ 12, 10, 5, 8 ], [ 12, 11, 3, 8 ], [ 12, 11, 7, 16 ], [ 12, 12, 3, 8 ], 
  [ 12, 12, 7, 16 ], [ 12, 13, 3, 8 ], [ 12, 14, 3, 8 ] ]

    k = 3: F-action on Pi is ()      [12,1,3]
      Dynkin type is A_0(q) + T(phi2^4)
      Order of center |Z^F|: q^4 + 4*q^3 + 6*q^2 + 4*q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/192*( q^4-8*q^3+20*q^2-16*q )
        q congruent 1 modulo 4:   1/192*( q^4-8*q^3+2*q^2+80*q-75 )
        q congruent 2 modulo 4:   1/192*( q^4-8*q^3+20*q^2-16*q )
        q congruent 3 modulo 4:   1/192*( q^4-8*q^3+2*q^2+80*q-123 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 12 ], [ 2, 2, 1, 6 ], [ 2, 3, 1, 6 ], 
  [ 2, 4, 1, 6 ], [ 2, 5, 1, 3 ], [ 3, 1, 2, 8 ], [ 3, 2, 2, 4 ], 
  [ 4, 1, 2, 24 ], [ 5, 1, 2, 8 ], [ 5, 2, 2, 4 ], [ 6, 1, 2, 8 ], 
  [ 6, 2, 2, 4 ], [ 7, 1, 3, 48 ], [ 7, 2, 3, 24 ], [ 7, 3, 2, 24 ], 
  [ 7, 4, 3, 12 ], [ 8, 1, 2, 32 ], [ 8, 2, 2, 16 ], [ 9, 1, 3, 48 ], 
  [ 9, 2, 2, 24 ], [ 9, 3, 3, 24 ], [ 9, 4, 3, 12 ], [ 10, 1, 3, 48 ], 
  [ 10, 2, 3, 24 ], [ 10, 3, 5, 24 ], [ 10, 4, 5, 12 ], [ 11, 1, 7, 96 ], 
  [ 11, 2, 7, 48 ], [ 11, 3, 7, 48 ], [ 11, 4, 7, 48 ], [ 11, 5, 7, 48 ], 
  [ 11, 6, 7, 24 ], [ 12, 2, 14, 96 ], [ 12, 3, 3, 96 ], [ 12, 4, 15, 96 ], 
  [ 12, 5, 14, 96 ], [ 12, 6, 14, 96 ], [ 12, 7, 16, 48 ], [ 12, 8, 14, 48 ], 
  [ 12, 9, 15, 48 ], [ 12, 10, 10, 48 ], [ 12, 11, 16, 48 ], 
  [ 12, 12, 16, 48 ], [ 12, 13, 14, 48 ], [ 12, 14, 14, 48 ], 
  [ 12, 15, 10, 48 ], [ 12, 16, 8, 48 ] ]

    k = 4: F-action on Pi is ()      [12,1,4]
      Dynkin type is A_0(q) + T(phi1^3 phi2)
      Order of center |Z^F|: q^4 - 2*q^3 + 2*q - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/16*( q^4-6*q^3+12*q^2-8*q )
        q congruent 1 modulo 4:   1/16*( q^4-6*q^3+6*q^2+18*q-19 )
        q congruent 2 modulo 4:   1/16*( q^4-6*q^3+12*q^2-8*q )
        q congruent 3 modulo 4:   1/16*( q^4-6*q^3+6*q^2+18*q-27 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 1, 4 ], [ 3, 2, 1, 2 ], 
  [ 4, 1, 1, 6 ], [ 4, 1, 2, 2 ], [ 5, 1, 1, 4 ], [ 5, 2, 1, 2 ], 
  [ 6, 1, 1, 4 ], [ 6, 2, 1, 2 ], [ 7, 1, 1, 8 ], [ 7, 1, 2, 4 ], 
  [ 7, 2, 1, 4 ], [ 7, 2, 2, 2 ], [ 7, 3, 1, 4 ], [ 7, 4, 1, 2 ], 
  [ 7, 4, 2, 2 ], [ 8, 1, 1, 8 ], [ 8, 2, 1, 4 ], [ 9, 1, 1, 8 ], 
  [ 9, 1, 4, 4 ], [ 9, 2, 1, 4 ], [ 9, 3, 1, 4 ], [ 9, 3, 2, 2 ], 
  [ 9, 4, 1, 2 ], [ 9, 4, 2, 2 ], [ 10, 1, 1, 8 ], [ 10, 1, 4, 4 ], 
  [ 10, 2, 1, 4 ], [ 10, 3, 1, 4 ], [ 10, 3, 2, 2 ], [ 10, 4, 1, 2 ], 
  [ 10, 4, 2, 2 ], [ 11, 1, 1, 8 ], [ 11, 1, 2, 8 ], [ 11, 1, 4, 8 ], 
  [ 11, 1, 5, 8 ], [ 11, 2, 1, 4 ], [ 11, 2, 2, 4 ], [ 11, 2, 4, 4 ], 
  [ 11, 2, 5, 4 ], [ 11, 3, 1, 4 ], [ 11, 3, 2, 4 ], [ 11, 3, 4, 4 ], 
  [ 11, 3, 5, 4 ], [ 11, 4, 1, 4 ], [ 11, 4, 2, 4 ], [ 11, 4, 4, 4 ], 
  [ 11, 4, 5, 4 ], [ 11, 5, 1, 4 ], [ 11, 5, 2, 4 ], [ 11, 5, 4, 4 ], 
  [ 11, 5, 5, 4 ], [ 11, 6, 1, 2 ], [ 11, 6, 2, 2 ], [ 11, 6, 4, 2 ], 
  [ 11, 6, 5, 2 ], [ 12, 2, 2, 8 ], [ 12, 2, 4, 8 ], [ 12, 3, 4, 8 ], 
  [ 12, 4, 2, 8 ], [ 12, 4, 4, 8 ], [ 12, 4, 5, 8 ], [ 12, 4, 9, 8 ], 
  [ 12, 5, 2, 8 ], [ 12, 5, 4, 8 ], [ 12, 6, 2, 8 ], [ 12, 6, 4, 8 ], 
  [ 12, 7, 2, 4 ], [ 12, 8, 2, 4 ], [ 12, 8, 4, 4 ], [ 12, 9, 2, 4 ], 
  [ 12, 9, 4, 4 ], [ 12, 9, 5, 4 ], [ 12, 9, 9, 4 ], [ 12, 10, 3, 8 ], 
  [ 12, 11, 2, 4 ], [ 12, 12, 2, 4 ], [ 12, 13, 2, 4 ], [ 12, 13, 4, 4 ], 
  [ 12, 14, 2, 4 ], [ 12, 14, 4, 4 ], [ 12, 15, 2, 8 ], [ 12, 16, 2, 8 ] ]

    k = 5: F-action on Pi is ()      [12,1,5]
      Dynkin type is A_0(q) + T(phi1 phi2 phi4)
      Order of center |Z^F|: q^4 - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^4-2*q^2 )
        q congruent 1 modulo 4:   1/8*( q^4-4*q^2+3 )
        q congruent 2 modulo 4:   1/8*( q^4-2*q^2 )
        q congruent 3 modulo 4:   1/8*( q^4-4*q^2+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 5 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 2, 4 ], [ 2, 2, 2, 2 ], [ 2, 3, 2, 2 ], 
  [ 2, 4, 2, 2 ], [ 2, 5, 2, 1 ], [ 3, 1, 1, 2 ], [ 3, 1, 2, 2 ], 
  [ 3, 2, 1, 1 ], [ 3, 2, 2, 1 ], [ 7, 1, 4, 4 ], [ 7, 1, 5, 4 ], 
  [ 7, 2, 4, 2 ], [ 7, 2, 5, 2 ], [ 7, 3, 3, 2 ], [ 7, 3, 4, 2 ], 
  [ 7, 4, 4, 1 ], [ 7, 4, 5, 2 ], [ 12, 2, 9, 4 ], [ 12, 2, 10, 4 ], 
  [ 12, 3, 5, 4 ], [ 12, 7, 8, 2 ], [ 12, 8, 9, 4 ], [ 12, 8, 10, 4 ], 
  [ 12, 10, 6, 4 ], [ 12, 10, 7, 4 ], [ 12, 11, 8, 4 ], [ 12, 12, 8, 4 ] ]

    k = 6: F-action on Pi is ()      [12,1,6]
      Dynkin type is A_0(q) + T(phi1 phi2^3)
      Order of center |Z^F|: q^4 + 2*q^3 - 2*q - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/16*( q^4-2*q^3 )
        q congruent 1 modulo 4:   1/16*( q^4-2*q^3-6*q^2+14*q-7 )
        q congruent 2 modulo 4:   1/16*( q^4-2*q^3 )
        q congruent 3 modulo 4:   1/16*( q^4-2*q^3-6*q^2+14*q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 2, 4 ], [ 3, 2, 2, 2 ], 
  [ 4, 1, 1, 2 ], [ 4, 1, 2, 6 ], [ 5, 1, 2, 4 ], [ 5, 2, 2, 2 ], 
  [ 6, 1, 2, 4 ], [ 6, 2, 2, 2 ], [ 7, 1, 2, 4 ], [ 7, 1, 3, 8 ], 
  [ 7, 2, 2, 2 ], [ 7, 2, 3, 4 ], [ 7, 3, 2, 4 ], [ 7, 4, 2, 2 ], 
  [ 7, 4, 3, 2 ], [ 8, 1, 2, 8 ], [ 8, 2, 2, 4 ], [ 9, 1, 3, 8 ], 
  [ 9, 1, 4, 4 ], [ 9, 2, 2, 4 ], [ 9, 3, 2, 2 ], [ 9, 3, 3, 4 ], 
  [ 9, 4, 2, 2 ], [ 9, 4, 3, 2 ], [ 10, 1, 3, 8 ], [ 10, 1, 4, 4 ], 
  [ 10, 2, 3, 4 ], [ 10, 3, 2, 2 ], [ 10, 3, 5, 4 ], [ 10, 4, 2, 2 ], 
  [ 10, 4, 5, 2 ], [ 11, 1, 3, 8 ], [ 11, 1, 6, 8 ], [ 11, 1, 7, 8 ], 
  [ 11, 1, 8, 8 ], [ 11, 2, 3, 4 ], [ 11, 2, 6, 4 ], [ 11, 2, 7, 4 ], 
  [ 11, 2, 8, 4 ], [ 11, 3, 3, 4 ], [ 11, 3, 6, 4 ], [ 11, 3, 7, 4 ], 
  [ 11, 3, 8, 4 ], [ 11, 4, 3, 4 ], [ 11, 4, 6, 4 ], [ 11, 4, 7, 4 ], 
  [ 11, 4, 8, 4 ], [ 11, 5, 3, 4 ], [ 11, 5, 6, 4 ], [ 11, 5, 7, 4 ], 
  [ 11, 5, 8, 4 ], [ 11, 6, 3, 2 ], [ 11, 6, 6, 2 ], [ 11, 6, 7, 2 ], 
  [ 11, 6, 8, 2 ], [ 12, 2, 6, 8 ], [ 12, 2, 13, 8 ], [ 12, 3, 6, 8 ], 
  [ 12, 4, 7, 8 ], [ 12, 4, 11, 8 ], [ 12, 4, 14, 8 ], [ 12, 4, 16, 8 ], 
  [ 12, 5, 6, 8 ], [ 12, 5, 13, 8 ], [ 12, 6, 6, 8 ], [ 12, 6, 12, 8 ], 
  [ 12, 7, 5, 4 ], [ 12, 8, 6, 4 ], [ 12, 8, 13, 4 ], [ 12, 9, 7, 4 ], 
  [ 12, 9, 11, 4 ], [ 12, 9, 14, 4 ], [ 12, 9, 16, 4 ], [ 12, 10, 4, 8 ], 
  [ 12, 11, 5, 4 ], [ 12, 12, 5, 4 ], [ 12, 13, 6, 4 ], [ 12, 13, 13, 4 ], 
  [ 12, 14, 6, 4 ], [ 12, 14, 12, 4 ], [ 12, 15, 3, 8 ], [ 12, 16, 6, 8 ] ]

    k = 7: F-action on Pi is ()      [12,1,7]
      Dynkin type is A_0(q) + T(phi1^2 phi2^2)
      Order of center |Z^F|: q^4 - 2*q^2 + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/32*( q^4-4*q^3+8*q )
        q congruent 1 modulo 4:   1/32*( q^4-4*q^3-10*q^2+52*q-39 )
        q congruent 2 modulo 4:   1/32*( q^4-4*q^3+8*q )
        q congruent 3 modulo 4:   1/32*( q^4-4*q^3-10*q^2+52*q-39 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 1, 3, 8 ], [ 2, 2, 1, 2 ], 
  [ 2, 2, 3, 4 ], [ 2, 3, 1, 2 ], [ 2, 3, 3, 4 ], [ 2, 4, 1, 2 ], 
  [ 2, 4, 3, 4 ], [ 2, 5, 1, 1 ], [ 2, 5, 3, 2 ], [ 4, 1, 1, 4 ], 
  [ 4, 1, 2, 4 ], [ 5, 1, 1, 4 ], [ 5, 1, 2, 4 ], [ 5, 2, 1, 2 ], 
  [ 5, 2, 2, 2 ], [ 7, 1, 2, 8 ], [ 7, 2, 2, 4 ], [ 7, 4, 2, 4 ], 
  [ 9, 1, 1, 8 ], [ 9, 1, 2, 16 ], [ 9, 1, 3, 8 ], [ 9, 2, 1, 4 ], 
  [ 9, 2, 2, 4 ], [ 9, 2, 3, 8 ], [ 9, 2, 4, 8 ], [ 9, 3, 1, 4 ], 
  [ 9, 3, 3, 4 ], [ 9, 3, 4, 8 ], [ 9, 4, 1, 2 ], [ 9, 4, 3, 2 ], 
  [ 9, 4, 4, 4 ], [ 10, 1, 4, 8 ], [ 10, 3, 2, 4 ], [ 10, 4, 2, 4 ], 
  [ 11, 1, 2, 16 ], [ 11, 1, 8, 16 ], [ 11, 2, 2, 8 ], [ 11, 2, 8, 8 ], 
  [ 11, 3, 2, 8 ], [ 11, 3, 8, 8 ], [ 11, 4, 2, 8 ], [ 11, 4, 8, 8 ], 
  [ 11, 5, 2, 8 ], [ 11, 5, 8, 8 ], [ 11, 6, 2, 4 ], [ 11, 6, 8, 4 ], 
  [ 12, 2, 7, 16 ], [ 12, 3, 7, 16 ], [ 12, 4, 8, 16 ], [ 12, 4, 10, 16 ], 
  [ 12, 5, 7, 16 ], [ 12, 5, 9, 16 ], [ 12, 5, 12, 16 ], [ 12, 6, 7, 16 ], 
  [ 12, 7, 6, 8 ], [ 12, 7, 11, 16 ], [ 12, 8, 7, 8 ], [ 12, 9, 8, 8 ], 
  [ 12, 9, 10, 8 ], [ 12, 11, 6, 8 ], [ 12, 11, 11, 8 ], [ 12, 12, 6, 8 ], 
  [ 12, 12, 11, 16 ], [ 12, 13, 7, 8 ], [ 12, 13, 9, 16 ], [ 12, 13, 12, 8 ], 
  [ 12, 14, 7, 8 ], [ 12, 15, 4, 8 ], [ 12, 15, 8, 8 ] ]

    k = 8: F-action on Pi is ()      [12,1,8]
      Dynkin type is A_0(q) + T(phi1^2 phi2^2)
      Order of center |Z^F|: q^4 - 2*q^2 + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/32*( q^4-4*q^3+8*q )
        q congruent 1 modulo 4:   1/32*( q^4-4*q^3-10*q^2+52*q-39 )
        q congruent 2 modulo 4:   1/32*( q^4-4*q^3+8*q )
        q congruent 3 modulo 4:   1/32*( q^4-4*q^3-10*q^2+52*q-39 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 1, 4, 8 ], [ 2, 2, 1, 2 ], 
  [ 2, 2, 4, 4 ], [ 2, 3, 1, 2 ], [ 2, 3, 4, 4 ], [ 2, 4, 1, 2 ], 
  [ 2, 4, 4, 4 ], [ 2, 5, 1, 1 ], [ 2, 5, 4, 2 ], [ 4, 1, 1, 4 ], 
  [ 4, 1, 2, 4 ], [ 6, 1, 1, 4 ], [ 6, 1, 2, 4 ], [ 6, 2, 1, 2 ], 
  [ 6, 2, 2, 2 ], [ 7, 1, 2, 8 ], [ 7, 2, 2, 4 ], [ 7, 4, 2, 4 ], 
  [ 9, 1, 4, 8 ], [ 9, 3, 2, 4 ], [ 9, 4, 2, 4 ], [ 10, 1, 1, 8 ], 
  [ 10, 1, 2, 16 ], [ 10, 1, 3, 8 ], [ 10, 2, 1, 4 ], [ 10, 2, 2, 8 ], 
  [ 10, 2, 3, 4 ], [ 10, 2, 4, 8 ], [ 10, 3, 1, 4 ], [ 10, 3, 3, 8 ], 
  [ 10, 3, 5, 4 ], [ 10, 4, 1, 2 ], [ 10, 4, 3, 4 ], [ 10, 4, 5, 2 ], 
  [ 11, 1, 4, 16 ], [ 11, 1, 6, 16 ], [ 11, 2, 4, 8 ], [ 11, 2, 6, 8 ], 
  [ 11, 3, 4, 8 ], [ 11, 3, 6, 8 ], [ 11, 4, 4, 8 ], [ 11, 4, 6, 8 ], 
  [ 11, 5, 4, 8 ], [ 11, 5, 6, 8 ], [ 11, 6, 4, 4 ], [ 11, 6, 6, 4 ], 
  [ 12, 2, 5, 16 ], [ 12, 3, 8, 16 ], [ 12, 4, 6, 16 ], [ 12, 4, 12, 16 ], 
  [ 12, 5, 5, 16 ], [ 12, 6, 5, 16 ], [ 12, 6, 10, 16 ], [ 12, 6, 13, 16 ], 
  [ 12, 7, 4, 8 ], [ 12, 7, 15, 16 ], [ 12, 8, 5, 8 ], [ 12, 9, 6, 8 ], 
  [ 12, 9, 12, 8 ], [ 12, 11, 4, 8 ], [ 12, 11, 15, 16 ], [ 12, 12, 4, 8 ], 
  [ 12, 12, 15, 8 ], [ 12, 13, 5, 8 ], [ 12, 14, 5, 8 ], [ 12, 14, 10, 16 ], 
  [ 12, 14, 13, 8 ], [ 12, 16, 3, 8 ], [ 12, 16, 7, 8 ] ]

    k = 9: F-action on Pi is ()      [12,1,9]
      Dynkin type is A_0(q) + T(phi4^2)
      Order of center |Z^F|: q^4 + 2*q^2 + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/16*( q^4-4*q^2 )
        q congruent 1 modulo 4:   1/16*( q^4-10*q^2+9 )
        q congruent 2 modulo 4:   1/16*( q^4-4*q^2 )
        q congruent 3 modulo 4:   1/16*( q^4-10*q^2+9 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 9 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 2, 4 ], [ 2, 1, 3, 4 ], [ 2, 1, 4, 4 ], 
  [ 2, 2, 2, 2 ], [ 2, 2, 3, 2 ], [ 2, 2, 4, 2 ], [ 2, 3, 2, 2 ], 
  [ 2, 3, 3, 2 ], [ 2, 3, 4, 2 ], [ 2, 4, 2, 2 ], [ 2, 4, 3, 2 ], 
  [ 2, 4, 4, 2 ], [ 2, 5, 2, 1 ], [ 2, 5, 3, 1 ], [ 2, 5, 4, 1 ], 
  [ 7, 1, 5, 8 ], [ 7, 2, 5, 4 ], [ 7, 4, 5, 4 ], [ 9, 1, 5, 8 ], 
  [ 9, 3, 5, 4 ], [ 9, 4, 5, 4 ], [ 10, 1, 5, 8 ], [ 10, 3, 4, 4 ], 
  [ 10, 4, 4, 4 ], [ 12, 2, 11, 8 ], [ 12, 3, 9, 8 ], [ 12, 5, 10, 8 ], 
  [ 12, 6, 9, 8 ], [ 12, 7, 9, 4 ], [ 12, 7, 12, 8 ], [ 12, 7, 14, 8 ], 
  [ 12, 8, 11, 8 ], [ 12, 11, 9, 8 ], [ 12, 11, 12, 4 ], [ 12, 11, 14, 8 ], 
  [ 12, 12, 9, 8 ], [ 12, 12, 12, 8 ], [ 12, 12, 14, 4 ], [ 12, 13, 10, 8 ], 
  [ 12, 14, 9, 8 ] ]

    k = 10: F-action on Pi is ()      [12,1,10]
      Dynkin type is A_0(q) + T(phi1^2 phi3)
      Order of center |Z^F|: q^4 - q^3 - q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/6*( q^4-q^3-q^2+q )
        q congruent 1 modulo 4:   1/6*( q^4-q^3-q^2+q )
        q congruent 2 modulo 4:   1/6*( q^4-q^3-q^2+q )
        q congruent 3 modulo 4:   1/6*( q^4-q^3-q^2+q )
      Fusion of maximal tori of C^F in those of G^F:
        [ 10 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 3, 1, 1, 2 ], [ 3, 2, 1, 1 ], [ 5, 1, 1, 2 ], 
  [ 5, 2, 1, 1 ], [ 6, 1, 1, 2 ], [ 6, 2, 1, 1 ], [ 8, 1, 1, 2 ], 
  [ 8, 2, 1, 1 ], [ 12, 3, 10, 3 ], [ 12, 10, 8, 6 ], [ 12, 15, 6, 6 ], 
  [ 12, 16, 4, 6 ] ]

    k = 11: F-action on Pi is ()      [12,1,11]
      Dynkin type is A_0(q) + T(phi2^2 phi6)
      Order of center |Z^F|: q^4 + q^3 + q + 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/6*( q^4+q^3-q^2-q )
        q congruent 1 modulo 4:   1/6*( q^4+q^3-q^2-q )
        q congruent 2 modulo 4:   1/6*( q^4+q^3-q^2-q )
        q congruent 3 modulo 4:   1/6*( q^4+q^3-q^2-q )
      Fusion of maximal tori of C^F in those of G^F:
        [ 11 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 3, 1, 2, 2 ], [ 3, 2, 2, 1 ], [ 5, 1, 2, 2 ], 
  [ 5, 2, 2, 1 ], [ 6, 1, 2, 2 ], [ 6, 2, 2, 1 ], [ 8, 1, 2, 2 ], 
  [ 8, 2, 2, 1 ], [ 12, 3, 11, 3 ], [ 12, 10, 9, 6 ], [ 12, 15, 7, 6 ], 
  [ 12, 16, 9, 6 ] ]

    k = 12: F-action on Pi is ()      [12,1,12]
      Dynkin type is A_0(q) + T(phi1 phi2 phi4)
      Order of center |Z^F|: q^4 - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^4-2*q^2 )
        q congruent 1 modulo 4:   1/8*( q^4-4*q^2+3 )
        q congruent 2 modulo 4:   1/8*( q^4-2*q^2 )
        q congruent 3 modulo 4:   1/8*( q^4-4*q^2+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 12 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 3, 4 ], [ 2, 2, 3, 2 ], [ 2, 3, 3, 2 ], 
  [ 2, 4, 3, 2 ], [ 2, 5, 3, 1 ], [ 5, 1, 1, 2 ], [ 5, 1, 2, 2 ], 
  [ 5, 2, 1, 1 ], [ 5, 2, 2, 1 ], [ 9, 1, 2, 4 ], [ 9, 1, 5, 4 ], 
  [ 9, 2, 3, 2 ], [ 9, 2, 4, 2 ], [ 9, 3, 4, 2 ], [ 9, 3, 5, 2 ], 
  [ 9, 4, 4, 1 ], [ 9, 4, 5, 2 ], [ 12, 3, 12, 4 ], [ 12, 5, 8, 4 ], 
  [ 12, 5, 11, 4 ], [ 12, 7, 10, 4 ], [ 12, 11, 10, 2 ], [ 12, 12, 10, 4 ], 
  [ 12, 13, 8, 4 ], [ 12, 13, 11, 4 ], [ 12, 15, 5, 4 ], [ 12, 15, 9, 4 ] ]

    k = 13: F-action on Pi is ()      [12,1,13]
      Dynkin type is A_0(q) + T(phi1 phi2 phi4)
      Order of center |Z^F|: q^4 - 1
      Numbers of classes in class type:
        q congruent 0 modulo 4:   1/8*( q^4-2*q^2 )
        q congruent 1 modulo 4:   1/8*( q^4-4*q^2+3 )
        q congruent 2 modulo 4:   1/8*( q^4-2*q^2 )
        q congruent 3 modulo 4:   1/8*( q^4-4*q^2+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 13 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 4, 4 ], [ 2, 2, 4, 2 ], [ 2, 3, 4, 2 ], 
  [ 2, 4, 4, 2 ], [ 2, 5, 4, 1 ], [ 6, 1, 1, 2 ], [ 6, 1, 2, 2 ], 
  [ 6, 2, 1, 1 ], [ 6, 2, 2, 1 ], [ 10, 1, 2, 4 ], [ 10, 1, 5, 4 ], 
  [ 10, 2, 2, 2 ], [ 10, 2, 4, 2 ], [ 10, 3, 3, 2 ], [ 10, 3, 4, 2 ], 
  [ 10, 4, 3, 1 ], [ 10, 4, 4, 2 ], [ 12, 3, 13, 4 ], [ 12, 6, 8, 4 ], 
  [ 12, 6, 11, 4 ], [ 12, 7, 13, 4 ], [ 12, 11, 13, 4 ], [ 12, 12, 13, 2 ], 
  [ 12, 14, 8, 4 ], [ 12, 14, 11, 4 ], [ 12, 16, 5, 4 ], [ 12, 16, 10, 4 ] ]

  j = 2: Omega of order 2, action on Pi: <()>
    k = 1: F-action on Pi is ()      [12,2,1]
      Dynkin type is (A_0(q) + T(phi1^4)).2
      Order of center |Z^F|: q^2 - 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-10*q+25 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-10*q+21 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 6 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 3 ], [ 3, 1, 1, 4 ], [ 3, 2, 1, 4 ], 
  [ 4, 1, 1, 4 ], [ 7, 1, 1, 8 ], [ 7, 2, 1, 8 ], [ 7, 3, 1, 12 ], 
  [ 7, 4, 1, 12 ], [ 11, 2, 1, 8 ], [ 11, 6, 1, 4 ], [ 12, 7, 1, 16 ], 
  [ 12, 8, 1, 8 ], [ 12, 9, 1, 8 ], [ 12, 10, 1, 24 ] ]

    k = 2: F-action on Pi is ()      [12,2,2]
      Dynkin type is (A_0(q) + T(phi1^3 phi2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 2, 1, 2 ], [ 4, 1, 1, 2 ], 
  [ 4, 1, 2, 2 ], [ 7, 1, 2, 4 ], [ 7, 2, 1, 4 ], [ 7, 2, 2, 2 ], 
  [ 7, 4, 1, 2 ], [ 7, 4, 2, 2 ], [ 11, 2, 1, 4 ], [ 11, 2, 5, 4 ], 
  [ 11, 6, 1, 2 ], [ 11, 6, 5, 2 ], [ 12, 7, 2, 4 ], [ 12, 8, 2, 4 ], 
  [ 12, 9, 2, 4 ], [ 12, 9, 4, 4 ] ]

    k = 3: F-action on Pi is ()      [12,2,3]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 + 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-6*q+5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-6*q+9 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 2, 2, 4 ], 
  [ 2, 3, 1, 2 ], [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 2, 2 ], 
  [ 3, 1, 2, 4 ], [ 3, 2, 1, 2 ], [ 3, 2, 2, 2 ], [ 4, 1, 2, 4 ], 
  [ 7, 1, 3, 8 ], [ 7, 2, 1, 4 ], [ 7, 2, 3, 4 ], [ 7, 3, 2, 4 ], 
  [ 7, 3, 3, 8 ], [ 7, 4, 1, 2 ], [ 7, 4, 3, 2 ], [ 7, 4, 4, 4 ], 
  [ 11, 2, 5, 8 ], [ 11, 6, 5, 4 ], [ 12, 7, 3, 8 ], [ 12, 8, 3, 8 ], 
  [ 12, 9, 3, 8 ], [ 12, 10, 2, 8 ] ]

    k = 4: F-action on Pi is ()      [12,2,4]
      Dynkin type is (A_0(q) + T(phi1^3 phi2)).2
      Order of center |Z^F|: q^2 - 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-6*q+5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-6*q+9 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 1, 4 ], [ 3, 2, 1, 2 ], 
  [ 4, 1, 1, 4 ], [ 7, 1, 1, 8 ], [ 7, 2, 1, 4 ], [ 7, 2, 2, 2 ], 
  [ 7, 3, 1, 4 ], [ 7, 4, 1, 2 ], [ 7, 4, 2, 2 ], [ 11, 2, 2, 4 ], 
  [ 11, 2, 4, 4 ], [ 11, 6, 2, 2 ], [ 11, 6, 4, 2 ], [ 12, 7, 2, 4 ], 
  [ 12, 8, 4, 4 ], [ 12, 9, 5, 4 ], [ 12, 9, 9, 4 ], [ 12, 10, 3, 8 ] ]

    k = 5: F-action on Pi is ()      [12,2,5]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 2, 4, 4 ], 
  [ 2, 3, 1, 2 ], [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 4, 2 ], 
  [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], [ 7, 1, 2, 4 ], [ 7, 2, 2, 4 ], 
  [ 7, 4, 2, 4 ], [ 11, 2, 4, 4 ], [ 11, 2, 6, 4 ], [ 11, 6, 4, 2 ], 
  [ 11, 6, 6, 2 ], [ 12, 7, 4, 8 ], [ 12, 8, 5, 4 ], [ 12, 9, 6, 4 ], 
  [ 12, 9, 12, 4 ] ]

    k = 6: F-action on Pi is ()      [12,2,6]
      Dynkin type is (A_0(q) + T(phi1 phi2^3)).2
      Order of center |Z^F|: q^2 + 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-2*q+1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-2*q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 1, 2, 4 ], [ 3, 2, 2, 2 ], 
  [ 4, 1, 2, 4 ], [ 7, 1, 3, 8 ], [ 7, 2, 2, 2 ], [ 7, 2, 3, 4 ], 
  [ 7, 3, 2, 4 ], [ 7, 4, 2, 2 ], [ 7, 4, 3, 2 ], [ 11, 2, 6, 4 ], 
  [ 11, 2, 8, 4 ], [ 11, 6, 6, 2 ], [ 11, 6, 8, 2 ], [ 12, 7, 5, 4 ], 
  [ 12, 8, 6, 4 ], [ 12, 9, 7, 4 ], [ 12, 9, 11, 4 ], [ 12, 10, 4, 8 ] ]

    k = 7: F-action on Pi is ()      [12,2,7]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 2, 3, 4 ], 
  [ 2, 3, 1, 2 ], [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 3, 2 ], 
  [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], [ 7, 1, 2, 4 ], [ 7, 2, 2, 4 ], 
  [ 7, 4, 2, 4 ], [ 11, 2, 2, 4 ], [ 11, 2, 8, 4 ], [ 11, 6, 2, 2 ], 
  [ 11, 6, 8, 2 ], [ 12, 7, 6, 8 ], [ 12, 8, 7, 4 ], [ 12, 9, 8, 4 ], 
  [ 12, 9, 10, 4 ] ]

    k = 8: F-action on Pi is ()      [12,2,8]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 2, 4 ], [ 2, 2, 1, 2 ], [ 2, 2, 2, 4 ], 
  [ 2, 3, 2, 2 ], [ 2, 4, 2, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 2, 2 ], 
  [ 3, 1, 1, 2 ], [ 3, 1, 2, 2 ], [ 3, 2, 1, 2 ], [ 3, 2, 2, 2 ], 
  [ 7, 1, 4, 4 ], [ 7, 2, 4, 4 ], [ 7, 3, 1, 2 ], [ 7, 3, 2, 2 ], 
  [ 7, 3, 3, 4 ], [ 7, 3, 4, 4 ], [ 7, 4, 1, 2 ], [ 7, 4, 3, 2 ], 
  [ 7, 4, 4, 4 ], [ 12, 7, 7, 4 ], [ 12, 8, 8, 4 ], [ 12, 10, 2, 4 ], 
  [ 12, 10, 5, 4 ] ]

    k = 9: F-action on Pi is ()      [12,2,9]
      Dynkin type is (A_0(q) + T(phi1 phi2 phi4)).2
      Order of center |Z^F|: q^2 + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 5 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 2, 4 ], [ 2, 2, 2, 2 ], [ 2, 3, 2, 2 ], 
  [ 2, 4, 2, 2 ], [ 2, 5, 2, 1 ], [ 3, 2, 1, 1 ], [ 3, 2, 2, 1 ], 
  [ 7, 1, 5, 4 ], [ 7, 2, 4, 2 ], [ 7, 2, 5, 2 ], [ 7, 4, 4, 1 ], 
  [ 7, 4, 5, 2 ], [ 12, 7, 8, 2 ], [ 12, 8, 9, 4 ] ]

    k = 10: F-action on Pi is ()      [12,2,10]
      Dynkin type is (A_0(q) + T(phi1 phi2 phi4)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 5 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 2, 4 ], [ 2, 2, 2, 2 ], [ 2, 3, 2, 2 ], 
  [ 2, 4, 2, 2 ], [ 2, 5, 2, 1 ], [ 3, 1, 1, 2 ], [ 3, 1, 2, 2 ], 
  [ 3, 2, 1, 1 ], [ 3, 2, 2, 1 ], [ 7, 1, 4, 4 ], [ 7, 2, 4, 2 ], 
  [ 7, 2, 5, 2 ], [ 7, 3, 3, 2 ], [ 7, 3, 4, 2 ], [ 7, 4, 4, 1 ], 
  [ 7, 4, 5, 2 ], [ 12, 7, 8, 2 ], [ 12, 8, 10, 4 ], [ 12, 10, 6, 4 ], 
  [ 12, 10, 7, 4 ] ]

    k = 11: F-action on Pi is ()      [12,2,11]
      Dynkin type is (A_0(q) + T(phi4^2)).2
      Order of center |Z^F|: q^2 + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 9 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 2, 4 ], [ 2, 2, 2, 2 ], [ 2, 2, 3, 2 ], 
  [ 2, 2, 4, 2 ], [ 2, 3, 2, 2 ], [ 2, 4, 2, 2 ], [ 2, 5, 2, 1 ], 
  [ 2, 5, 3, 1 ], [ 2, 5, 4, 1 ], [ 7, 1, 5, 4 ], [ 7, 2, 5, 4 ], 
  [ 7, 4, 5, 4 ], [ 12, 7, 9, 4 ], [ 12, 8, 11, 4 ] ]

    k = 12: F-action on Pi is ()      [12,2,12]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-10*q+25 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-10*q+21 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 2, 2, 4 ], 
  [ 2, 3, 1, 2 ], [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 2, 2 ], 
  [ 3, 1, 1, 4 ], [ 3, 2, 1, 2 ], [ 3, 2, 2, 2 ], [ 4, 1, 1, 4 ], 
  [ 7, 1, 1, 8 ], [ 7, 2, 1, 4 ], [ 7, 2, 3, 4 ], [ 7, 3, 1, 4 ], 
  [ 7, 3, 4, 8 ], [ 7, 4, 1, 2 ], [ 7, 4, 3, 2 ], [ 7, 4, 4, 4 ], 
  [ 11, 2, 3, 8 ], [ 11, 6, 3, 4 ], [ 12, 7, 3, 8 ], [ 12, 8, 12, 8 ], 
  [ 12, 9, 13, 8 ], [ 12, 10, 5, 8 ] ]

    k = 13: F-action on Pi is ()      [12,2,13]
      Dynkin type is (A_0(q) + T(phi1 phi2^3)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 3, 2, 2, 2 ], [ 4, 1, 1, 2 ], 
  [ 4, 1, 2, 2 ], [ 7, 1, 2, 4 ], [ 7, 2, 2, 2 ], [ 7, 2, 3, 4 ], 
  [ 7, 4, 2, 2 ], [ 7, 4, 3, 2 ], [ 11, 2, 3, 4 ], [ 11, 2, 7, 4 ], 
  [ 11, 6, 3, 2 ], [ 11, 6, 7, 2 ], [ 12, 7, 5, 4 ], [ 12, 8, 13, 4 ], 
  [ 12, 9, 14, 4 ], [ 12, 9, 16, 4 ] ]

    k = 14: F-action on Pi is ()      [12,2,14]
      Dynkin type is (A_0(q) + T(phi2^4)).2
      Order of center |Z^F|: q^2 + 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-6*q+5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-6*q+9 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 6 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 3 ], [ 3, 1, 2, 4 ], [ 3, 2, 2, 4 ], 
  [ 4, 1, 2, 4 ], [ 7, 1, 3, 8 ], [ 7, 2, 3, 8 ], [ 7, 3, 2, 12 ], 
  [ 7, 4, 3, 12 ], [ 11, 2, 7, 8 ], [ 11, 6, 7, 4 ], [ 12, 7, 16, 16 ], 
  [ 12, 8, 14, 8 ], [ 12, 9, 15, 8 ], [ 12, 10, 10, 24 ] ]

  j = 5: Omega of order 2, action on Pi: <()>
    k = 1: F-action on Pi is ()      [12,5,1]
      Dynkin type is (A_0(q) + T(phi1^4)).2
      Order of center |Z^F|: q^2 - 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-10*q+25 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-10*q+21 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 6 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 3 ], [ 4, 1, 1, 4 ], [ 5, 1, 1, 4 ], 
  [ 5, 2, 1, 4 ], [ 9, 1, 1, 8 ], [ 9, 2, 1, 12 ], [ 9, 3, 1, 8 ], 
  [ 9, 4, 1, 12 ], [ 11, 4, 1, 8 ], [ 11, 6, 1, 4 ], [ 12, 9, 1, 8 ], 
  [ 12, 11, 1, 16 ], [ 12, 13, 1, 8 ], [ 12, 15, 1, 24 ] ]

    k = 2: F-action on Pi is ()      [12,5,2]
      Dynkin type is (A_0(q) + T(phi1^3 phi2)).2
      Order of center |Z^F|: q^2 - 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-6*q+5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-6*q+9 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 4 ], [ 5, 1, 1, 4 ], 
  [ 5, 2, 1, 2 ], [ 9, 1, 1, 8 ], [ 9, 2, 1, 4 ], [ 9, 3, 1, 4 ], 
  [ 9, 3, 2, 2 ], [ 9, 4, 1, 2 ], [ 9, 4, 2, 2 ], [ 11, 4, 4, 4 ], 
  [ 11, 4, 5, 4 ], [ 11, 6, 4, 2 ], [ 11, 6, 5, 2 ], [ 12, 9, 2, 4 ], 
  [ 12, 9, 9, 4 ], [ 12, 11, 2, 4 ], [ 12, 13, 4, 4 ], [ 12, 15, 2, 8 ] ]

    k = 3: F-action on Pi is ()      [12,5,3]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 3, 2, 4 ], [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 2, 2 ], 
  [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], [ 9, 1, 4, 4 ], [ 9, 3, 2, 4 ], 
  [ 9, 4, 2, 4 ], [ 11, 4, 3, 4 ], [ 11, 4, 5, 4 ], [ 11, 6, 3, 2 ], 
  [ 11, 6, 5, 2 ], [ 12, 9, 3, 4 ], [ 12, 9, 13, 4 ], [ 12, 11, 3, 8 ], 
  [ 12, 13, 3, 4 ] ]

    k = 4: F-action on Pi is ()      [12,5,4]
      Dynkin type is (A_0(q) + T(phi1^3 phi2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], 
  [ 5, 2, 1, 2 ], [ 9, 1, 4, 4 ], [ 9, 3, 1, 4 ], [ 9, 3, 2, 2 ], 
  [ 9, 4, 1, 2 ], [ 9, 4, 2, 2 ], [ 11, 4, 1, 4 ], [ 11, 4, 2, 4 ], 
  [ 11, 6, 1, 2 ], [ 11, 6, 2, 2 ], [ 12, 9, 4, 4 ], [ 12, 9, 5, 4 ], 
  [ 12, 11, 2, 4 ], [ 12, 13, 2, 4 ] ]

    k = 5: F-action on Pi is ()      [12,5,5]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 3, 4, 4 ], [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 4, 2 ], 
  [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], [ 9, 1, 4, 4 ], [ 9, 3, 2, 4 ], 
  [ 9, 4, 2, 4 ], [ 11, 4, 4, 4 ], [ 11, 4, 6, 4 ], [ 11, 6, 4, 2 ], 
  [ 11, 6, 6, 2 ], [ 12, 9, 6, 4 ], [ 12, 9, 12, 4 ], [ 12, 11, 4, 8 ], 
  [ 12, 13, 5, 4 ] ]

    k = 6: F-action on Pi is ()      [12,5,6]
      Dynkin type is (A_0(q) + T(phi1 phi2^3)).2
      Order of center |Z^F|: q^2 + 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-2*q+1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-2*q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 4 ], [ 5, 1, 2, 4 ], 
  [ 5, 2, 2, 2 ], [ 9, 1, 3, 8 ], [ 9, 2, 2, 4 ], [ 9, 3, 2, 2 ], 
  [ 9, 3, 3, 4 ], [ 9, 4, 2, 2 ], [ 9, 4, 3, 2 ], [ 11, 4, 3, 4 ], 
  [ 11, 4, 6, 4 ], [ 11, 6, 3, 2 ], [ 11, 6, 6, 2 ], [ 12, 9, 7, 4 ], 
  [ 12, 9, 16, 4 ], [ 12, 11, 5, 4 ], [ 12, 13, 13, 4 ], [ 12, 15, 3, 8 ] ]

    k = 7: F-action on Pi is ()      [12,5,7]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 + 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-6*q+5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-6*q+9 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 3, 3, 4 ], [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 3, 2 ], 
  [ 4, 1, 2, 4 ], [ 5, 1, 2, 4 ], [ 5, 2, 1, 2 ], [ 5, 2, 2, 2 ], 
  [ 9, 1, 3, 8 ], [ 9, 2, 2, 4 ], [ 9, 2, 4, 8 ], [ 9, 3, 1, 4 ], 
  [ 9, 3, 3, 4 ], [ 9, 4, 1, 2 ], [ 9, 4, 3, 2 ], [ 9, 4, 4, 4 ], 
  [ 11, 4, 2, 8 ], [ 11, 6, 2, 4 ], [ 12, 9, 8, 8 ], [ 12, 11, 6, 8 ], 
  [ 12, 13, 12, 8 ], [ 12, 15, 4, 8 ] ]

    k = 8: F-action on Pi is ()      [12,5,8]
      Dynkin type is (A_0(q) + T(phi1 phi2 phi4)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 12 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 3, 4 ], [ 2, 2, 3, 2 ], [ 2, 3, 3, 2 ], 
  [ 2, 4, 3, 2 ], [ 2, 5, 3, 1 ], [ 5, 1, 1, 2 ], [ 5, 1, 2, 2 ], 
  [ 5, 2, 1, 1 ], [ 5, 2, 2, 1 ], [ 9, 1, 2, 4 ], [ 9, 2, 3, 2 ], 
  [ 9, 2, 4, 2 ], [ 9, 3, 4, 2 ], [ 9, 3, 5, 2 ], [ 9, 4, 4, 1 ], 
  [ 9, 4, 5, 2 ], [ 12, 11, 10, 2 ], [ 12, 13, 11, 4 ], [ 12, 15, 5, 4 ], 
  [ 12, 15, 9, 4 ] ]

    k = 9: F-action on Pi is ()      [12,5,9]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 3, 4 ], [ 2, 2, 3, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 3, 3, 4 ], [ 2, 4, 3, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 3, 2 ], 
  [ 5, 1, 1, 2 ], [ 5, 1, 2, 2 ], [ 5, 2, 1, 2 ], [ 5, 2, 2, 2 ], 
  [ 9, 1, 2, 4 ], [ 9, 2, 1, 2 ], [ 9, 2, 2, 2 ], [ 9, 2, 3, 4 ], 
  [ 9, 2, 4, 4 ], [ 9, 3, 4, 4 ], [ 9, 4, 1, 2 ], [ 9, 4, 3, 2 ], 
  [ 9, 4, 4, 4 ], [ 12, 11, 11, 4 ], [ 12, 13, 9, 4 ], [ 12, 15, 4, 4 ], 
  [ 12, 15, 8, 4 ] ]

    k = 10: F-action on Pi is ()      [12,5,10]
      Dynkin type is (A_0(q) + T(phi4^2)).2
      Order of center |Z^F|: q^2 + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 9 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 3, 4 ], [ 2, 2, 3, 2 ], [ 2, 3, 2, 2 ], 
  [ 2, 3, 3, 2 ], [ 2, 3, 4, 2 ], [ 2, 4, 3, 2 ], [ 2, 5, 2, 1 ], 
  [ 2, 5, 3, 1 ], [ 2, 5, 4, 1 ], [ 9, 1, 5, 4 ], [ 9, 3, 5, 4 ], 
  [ 9, 4, 5, 4 ], [ 12, 11, 12, 4 ], [ 12, 13, 10, 4 ] ]

    k = 11: F-action on Pi is ()      [12,5,11]
      Dynkin type is (A_0(q) + T(phi1 phi2 phi4)).2
      Order of center |Z^F|: q^2 + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 12 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 3, 4 ], [ 2, 2, 3, 2 ], [ 2, 3, 3, 2 ], 
  [ 2, 4, 3, 2 ], [ 2, 5, 3, 1 ], [ 5, 2, 1, 1 ], [ 5, 2, 2, 1 ], 
  [ 9, 1, 5, 4 ], [ 9, 3, 4, 2 ], [ 9, 3, 5, 2 ], [ 9, 4, 4, 1 ], 
  [ 9, 4, 5, 2 ], [ 12, 11, 10, 2 ], [ 12, 13, 8, 4 ] ]

    k = 12: F-action on Pi is ()      [12,5,12]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-10*q+25 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-10*q+21 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 3, 3, 4 ], [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 3, 2 ], 
  [ 4, 1, 1, 4 ], [ 5, 1, 1, 4 ], [ 5, 2, 1, 2 ], [ 5, 2, 2, 2 ], 
  [ 9, 1, 1, 8 ], [ 9, 2, 1, 4 ], [ 9, 2, 3, 8 ], [ 9, 3, 1, 4 ], 
  [ 9, 3, 3, 4 ], [ 9, 4, 1, 2 ], [ 9, 4, 3, 2 ], [ 9, 4, 4, 4 ], 
  [ 11, 4, 8, 8 ], [ 11, 6, 8, 4 ], [ 12, 9, 10, 8 ], [ 12, 11, 6, 8 ], 
  [ 12, 13, 7, 8 ], [ 12, 15, 8, 8 ] ]

    k = 13: F-action on Pi is ()      [12,5,13]
      Dynkin type is (A_0(q) + T(phi1 phi2^3)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], 
  [ 5, 2, 2, 2 ], [ 9, 1, 4, 4 ], [ 9, 3, 2, 2 ], [ 9, 3, 3, 4 ], 
  [ 9, 4, 2, 2 ], [ 9, 4, 3, 2 ], [ 11, 4, 7, 4 ], [ 11, 4, 8, 4 ], 
  [ 11, 6, 7, 2 ], [ 11, 6, 8, 2 ], [ 12, 9, 11, 4 ], [ 12, 9, 14, 4 ], 
  [ 12, 11, 5, 4 ], [ 12, 13, 6, 4 ] ]

    k = 14: F-action on Pi is ()      [12,5,14]
      Dynkin type is (A_0(q) + T(phi2^4)).2
      Order of center |Z^F|: q^2 + 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-6*q+5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-6*q+9 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 6 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 3 ], [ 4, 1, 2, 4 ], [ 5, 1, 2, 4 ], 
  [ 5, 2, 2, 4 ], [ 9, 1, 3, 8 ], [ 9, 2, 2, 12 ], [ 9, 3, 3, 8 ], 
  [ 9, 4, 3, 12 ], [ 11, 4, 7, 8 ], [ 11, 6, 7, 4 ], [ 12, 9, 15, 8 ], 
  [ 12, 11, 16, 16 ], [ 12, 13, 14, 8 ], [ 12, 15, 10, 24 ] ]

  j = 6: Omega of order 2, action on Pi: <()>
    k = 1: F-action on Pi is ()      [12,6,1]
      Dynkin type is (A_0(q) + T(phi1^4)).2
      Order of center |Z^F|: q^2 - 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-10*q+25 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-10*q+21 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 6 ], [ 2, 5, 1, 3 ], [ 4, 1, 1, 4 ], [ 6, 1, 1, 4 ], 
  [ 6, 2, 1, 4 ], [ 10, 1, 1, 8 ], [ 10, 2, 1, 12 ], [ 10, 3, 1, 8 ], 
  [ 10, 4, 1, 12 ], [ 11, 3, 1, 8 ], [ 11, 6, 1, 4 ], [ 12, 9, 1, 8 ], 
  [ 12, 12, 1, 16 ], [ 12, 14, 1, 8 ], [ 12, 16, 1, 24 ] ]

    k = 2: F-action on Pi is ()      [12,6,2]
      Dynkin type is (A_0(q) + T(phi1^3 phi2)).2
      Order of center |Z^F|: q^2 - 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-6*q+5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-6*q+9 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 4 ], [ 6, 1, 1, 4 ], 
  [ 6, 2, 1, 2 ], [ 10, 1, 1, 8 ], [ 10, 2, 1, 4 ], [ 10, 3, 1, 4 ], 
  [ 10, 3, 2, 2 ], [ 10, 4, 1, 2 ], [ 10, 4, 2, 2 ], [ 11, 3, 2, 4 ], 
  [ 11, 3, 5, 4 ], [ 11, 6, 2, 2 ], [ 11, 6, 5, 2 ], [ 12, 9, 2, 4 ], 
  [ 12, 9, 5, 4 ], [ 12, 12, 2, 4 ], [ 12, 14, 4, 4 ], [ 12, 16, 2, 8 ] ]

    k = 3: F-action on Pi is ()      [12,6,3]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 4, 2, 4 ], [ 2, 5, 1, 1 ], [ 2, 5, 2, 2 ], 
  [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], [ 10, 1, 4, 4 ], [ 10, 3, 2, 4 ], 
  [ 10, 4, 2, 4 ], [ 11, 3, 3, 4 ], [ 11, 3, 5, 4 ], [ 11, 6, 3, 2 ], 
  [ 11, 6, 5, 2 ], [ 12, 9, 3, 4 ], [ 12, 9, 13, 4 ], [ 12, 12, 3, 8 ], 
  [ 12, 14, 3, 4 ] ]

    k = 4: F-action on Pi is ()      [12,6,4]
      Dynkin type is (A_0(q) + T(phi1^3 phi2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], 
  [ 6, 2, 1, 2 ], [ 10, 1, 4, 4 ], [ 10, 3, 1, 4 ], [ 10, 3, 2, 2 ], 
  [ 10, 4, 1, 2 ], [ 10, 4, 2, 2 ], [ 11, 3, 1, 4 ], [ 11, 3, 4, 4 ], 
  [ 11, 6, 1, 2 ], [ 11, 6, 4, 2 ], [ 12, 9, 4, 4 ], [ 12, 9, 9, 4 ], 
  [ 12, 12, 2, 4 ], [ 12, 14, 2, 4 ] ]

    k = 5: F-action on Pi is ()      [12,6,5]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-10*q+25 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-10*q+21 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 4, 4, 4 ], [ 2, 5, 1, 1 ], [ 2, 5, 4, 2 ], 
  [ 4, 1, 1, 4 ], [ 6, 1, 1, 4 ], [ 6, 2, 1, 2 ], [ 6, 2, 2, 2 ], 
  [ 10, 1, 1, 8 ], [ 10, 2, 1, 4 ], [ 10, 2, 2, 8 ], [ 10, 3, 1, 4 ], 
  [ 10, 3, 5, 4 ], [ 10, 4, 1, 2 ], [ 10, 4, 3, 4 ], [ 10, 4, 5, 2 ], 
  [ 11, 3, 6, 8 ], [ 11, 6, 6, 4 ], [ 12, 9, 6, 8 ], [ 12, 12, 4, 8 ], 
  [ 12, 14, 13, 8 ], [ 12, 16, 3, 8 ] ]

    k = 6: F-action on Pi is ()      [12,6,6]
      Dynkin type is (A_0(q) + T(phi1 phi2^3)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], 
  [ 6, 2, 2, 2 ], [ 10, 1, 4, 4 ], [ 10, 3, 2, 2 ], [ 10, 3, 5, 4 ], 
  [ 10, 4, 2, 2 ], [ 10, 4, 5, 2 ], [ 11, 3, 6, 4 ], [ 11, 3, 7, 4 ], 
  [ 11, 6, 6, 2 ], [ 11, 6, 7, 2 ], [ 12, 9, 7, 4 ], [ 12, 9, 14, 4 ], 
  [ 12, 12, 5, 4 ], [ 12, 14, 12, 4 ] ]

    k = 7: F-action on Pi is ()      [12,6,7]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 4, 3, 4 ], [ 2, 5, 1, 1 ], [ 2, 5, 3, 2 ], 
  [ 4, 1, 1, 2 ], [ 4, 1, 2, 2 ], [ 10, 1, 4, 4 ], [ 10, 3, 2, 4 ], 
  [ 10, 4, 2, 4 ], [ 11, 3, 2, 4 ], [ 11, 3, 8, 4 ], [ 11, 6, 2, 2 ], 
  [ 11, 6, 8, 2 ], [ 12, 9, 8, 4 ], [ 12, 9, 10, 4 ], [ 12, 12, 6, 8 ], 
  [ 12, 14, 7, 4 ] ]

    k = 8: F-action on Pi is ()      [12,6,8]
      Dynkin type is (A_0(q) + T(phi1 phi2 phi4)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 13 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 4, 4 ], [ 2, 2, 4, 2 ], [ 2, 3, 4, 2 ], 
  [ 2, 4, 4, 2 ], [ 2, 5, 4, 1 ], [ 6, 1, 1, 2 ], [ 6, 1, 2, 2 ], 
  [ 6, 2, 1, 1 ], [ 6, 2, 2, 1 ], [ 10, 1, 2, 4 ], [ 10, 2, 2, 2 ], 
  [ 10, 2, 4, 2 ], [ 10, 3, 3, 2 ], [ 10, 3, 4, 2 ], [ 10, 4, 3, 1 ], 
  [ 10, 4, 4, 2 ], [ 12, 12, 13, 2 ], [ 12, 14, 11, 4 ], [ 12, 16, 5, 4 ], 
  [ 12, 16, 10, 4 ] ]

    k = 9: F-action on Pi is ()      [12,6,9]
      Dynkin type is (A_0(q) + T(phi4^2)).2
      Order of center |Z^F|: q^2 + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 9 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 4, 4 ], [ 2, 2, 4, 2 ], [ 2, 3, 4, 2 ], 
  [ 2, 4, 2, 2 ], [ 2, 4, 3, 2 ], [ 2, 4, 4, 2 ], [ 2, 5, 2, 1 ], 
  [ 2, 5, 3, 1 ], [ 2, 5, 4, 1 ], [ 10, 1, 5, 4 ], [ 10, 3, 4, 4 ], 
  [ 10, 4, 4, 4 ], [ 12, 12, 14, 4 ], [ 12, 14, 9, 4 ] ]

    k = 10: F-action on Pi is ()      [12,6,10]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-4*q+3 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-4*q+3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 4, 4 ], [ 2, 2, 4, 2 ], [ 2, 3, 4, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 4, 4, 4 ], [ 2, 5, 1, 1 ], [ 2, 5, 4, 2 ], 
  [ 6, 1, 1, 2 ], [ 6, 1, 2, 2 ], [ 6, 2, 1, 2 ], [ 6, 2, 2, 2 ], 
  [ 10, 1, 2, 4 ], [ 10, 2, 1, 2 ], [ 10, 2, 2, 4 ], [ 10, 2, 3, 2 ], 
  [ 10, 2, 4, 4 ], [ 10, 3, 3, 4 ], [ 10, 4, 1, 2 ], [ 10, 4, 3, 4 ], 
  [ 10, 4, 5, 2 ], [ 12, 12, 15, 4 ], [ 12, 14, 10, 4 ], [ 12, 16, 3, 4 ], 
  [ 12, 16, 7, 4 ] ]

    k = 11: F-action on Pi is ()      [12,6,11]
      Dynkin type is (A_0(q) + T(phi1 phi2 phi4)).2
      Order of center |Z^F|: q^2 + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q^2-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q^2-1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 13 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 4, 4 ], [ 2, 2, 4, 2 ], [ 2, 3, 4, 2 ], 
  [ 2, 4, 4, 2 ], [ 2, 5, 4, 1 ], [ 6, 2, 1, 1 ], [ 6, 2, 2, 1 ], 
  [ 10, 1, 5, 4 ], [ 10, 3, 3, 2 ], [ 10, 3, 4, 2 ], [ 10, 4, 3, 1 ], 
  [ 10, 4, 4, 2 ], [ 12, 12, 13, 2 ], [ 12, 14, 8, 4 ] ]

    k = 12: F-action on Pi is ()      [12,6,12]
      Dynkin type is (A_0(q) + T(phi1 phi2^3)).2
      Order of center |Z^F|: q^2 + 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/8*( q^2-2*q+1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/8*( q^2-2*q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 4 ], [ 6, 1, 2, 4 ], 
  [ 6, 2, 2, 2 ], [ 10, 1, 3, 8 ], [ 10, 2, 3, 4 ], [ 10, 3, 2, 2 ], 
  [ 10, 3, 5, 4 ], [ 10, 4, 2, 2 ], [ 10, 4, 5, 2 ], [ 11, 3, 3, 4 ], 
  [ 11, 3, 8, 4 ], [ 11, 6, 3, 2 ], [ 11, 6, 8, 2 ], [ 12, 9, 11, 4 ], 
  [ 12, 9, 16, 4 ], [ 12, 12, 5, 4 ], [ 12, 14, 6, 4 ], [ 12, 16, 6, 8 ] ]

    k = 13: F-action on Pi is ()      [12,6,13]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2
      Order of center |Z^F|: q^2 + 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-6*q+5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-6*q+9 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 4, 4, 4 ], [ 2, 5, 1, 1 ], [ 2, 5, 4, 2 ], 
  [ 4, 1, 2, 4 ], [ 6, 1, 2, 4 ], [ 6, 2, 1, 2 ], [ 6, 2, 2, 2 ], 
  [ 10, 1, 3, 8 ], [ 10, 2, 3, 4 ], [ 10, 2, 4, 8 ], [ 10, 3, 1, 4 ], 
  [ 10, 3, 5, 4 ], [ 10, 4, 1, 2 ], [ 10, 4, 3, 4 ], [ 10, 4, 5, 2 ], 
  [ 11, 3, 4, 8 ], [ 11, 6, 4, 4 ], [ 12, 9, 12, 8 ], [ 12, 12, 4, 8 ], 
  [ 12, 14, 5, 8 ], [ 12, 16, 7, 8 ] ]

    k = 14: F-action on Pi is ()      [12,6,14]
      Dynkin type is (A_0(q) + T(phi2^4)).2
      Order of center |Z^F|: q^2 + 2*q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/16*( q^2-6*q+5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/16*( q^2-6*q+9 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 6 ], [ 2, 5, 1, 3 ], [ 4, 1, 2, 4 ], [ 6, 1, 2, 4 ], 
  [ 6, 2, 2, 4 ], [ 10, 1, 3, 8 ], [ 10, 2, 3, 12 ], [ 10, 3, 5, 8 ], 
  [ 10, 4, 5, 12 ], [ 11, 3, 7, 8 ], [ 11, 6, 7, 4 ], [ 12, 9, 15, 8 ], 
  [ 12, 12, 16, 16 ], [ 12, 14, 14, 8 ], [ 12, 16, 8, 24 ] ]

  j = 9: Omega of order 4, action on Pi: <(), ()>
    k = 1: F-action on Pi is ()      [12,9,1]
      Dynkin type is (A_0(q) + T(phi1^4)).2.2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 1 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 3 ], [ 4, 1, 1, 2 ], [ 11, 6, 1, 2 ] ]

    k = 2: F-action on Pi is ()      [12,9,2]
      Dynkin type is (A_0(q) + T(phi1^3 phi2)).2.2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 11, 6, 5, 2 ] ]

    k = 3: F-action on Pi is ()      [12,9,3]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2.2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 2, 2 ], [ 4, 1, 2, 2 ], 
  [ 11, 6, 5, 2 ] ]

    k = 4: F-action on Pi is ()      [12,9,4]
      Dynkin type is (A_0(q) + T(phi1^3 phi2)).2.2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 11, 6, 1, 2 ] ]

    k = 5: F-action on Pi is ()      [12,9,5]
      Dynkin type is (A_0(q) + T(phi1^3 phi2)).2.2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 11, 6, 2, 2 ] ]

    k = 6: F-action on Pi is ()      [12,9,6]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2.2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 4, 2 ], [ 4, 1, 1, 2 ], 
  [ 11, 6, 6, 2 ] ]

    k = 7: F-action on Pi is ()      [12,9,7]
      Dynkin type is (A_0(q) + T(phi1 phi2^3)).2.2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 11, 6, 6, 2 ] ]

    k = 8: F-action on Pi is ()      [12,9,8]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2.2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 3, 2 ], [ 4, 1, 2, 2 ], 
  [ 11, 6, 2, 2 ] ]

    k = 9: F-action on Pi is ()      [12,9,9]
      Dynkin type is (A_0(q) + T(phi1^3 phi2)).2.2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 4 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 11, 6, 4, 2 ] ]

    k = 10: F-action on Pi is ()      [12,9,10]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2.2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 7 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 3, 2 ], [ 4, 1, 1, 2 ], 
  [ 11, 6, 8, 2 ] ]

    k = 11: F-action on Pi is ()      [12,9,11]
      Dynkin type is (A_0(q) + T(phi1 phi2^3)).2.2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 11, 6, 8, 2 ] ]

    k = 12: F-action on Pi is ()      [12,9,12]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2.2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 8 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 4, 2 ], [ 4, 1, 2, 2 ], 
  [ 11, 6, 4, 2 ] ]

    k = 13: F-action on Pi is ()      [12,9,13]
      Dynkin type is (A_0(q) + T(phi1^2 phi2^2)).2.2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-5 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 2 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 2, 5, 2, 2 ], [ 4, 1, 1, 2 ], 
  [ 11, 6, 3, 2 ] ]

    k = 14: F-action on Pi is ()      [12,9,14]
      Dynkin type is (A_0(q) + T(phi1 phi2^3)).2.2
      Order of center |Z^F|: q - 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 1, 2 ], [ 11, 6, 7, 2 ] ]

    k = 15: F-action on Pi is ()      [12,9,15]
      Dynkin type is (A_0(q) + T(phi2^4)).2.2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q-3 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 3 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 3 ], [ 4, 1, 2, 2 ], [ 11, 6, 7, 2 ] ]

    k = 16: F-action on Pi is ()      [12,9,16]
      Dynkin type is (A_0(q) + T(phi1 phi2^3)).2.2
      Order of center |Z^F|: q + 1 times
        1, q congruent 0 modulo 2
        2, q congruent 1 modulo 2
      Numbers of classes in class type:
        q congruent 0 modulo 4:   0
        q congruent 1 modulo 4:   1/4*( q-1 )
        q congruent 2 modulo 4:   0
        q congruent 3 modulo 4:   1/4*( q+1 )
      Fusion of maximal tori of C^F in those of G^F:
        [ 6 ]
      elements of other class types in center:
[ [ 1, 1, 1, 1 ], [ 2, 1, 1, 4 ], [ 2, 2, 1, 2 ], [ 2, 3, 1, 2 ], 
  [ 2, 4, 1, 2 ], [ 2, 5, 1, 1 ], [ 4, 1, 2, 2 ], [ 11, 6, 3, 2 ] ]