51.25 OrbitFusions

OrbitFusions( subtblautomorphisms, fusionmap, tblautomorphisms )

returns the orbit of the subgroup fusion map fusionmap under the operations of maximal admissible subgroups of the table automorphism groups of the character tables. subtblautomorphisms is a list of generators of the automorphisms of the subgroup table, tblautomorphisms is a list of generators of the automorphisms of the supergroup table.

    gap> s:= CharTable( "U3(3)" );; t:= CharTable( "J4" );;
    gap> GetFusionMap( s, t );
    [ 1, 2, 4, 4, 5, 5, 6, 10, 12, 13, 14, 14, 21, 21 ]
    gap> OrbitFusions( s.automorphisms, last, t.automorphisms );
    [ [ 1, 2, 4, 4, 5, 5, 6, 10, 12, 13, 14, 14, 21, 21 ], 
      [ 1, 2, 4, 4, 5, 5, 6, 10, 13, 12, 14, 14, 21, 21 ] ]

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