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AtlasRep Info for 6.U₆(2)

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Representations for G = 6.U₆(2): (all refer to std. generators 1)

1	G ≤ Sym(4032)	rank 11, on cosets of U5(2) < 6 × U5(2)
2	G ≤ Sym(38016a)	rank 17, on cosets of S6(2) < 6 × S6(2)
3	G ≤ Sym(38016b)	rank 14, on cosets of S6(2) < 6 × S6(2)
4	G ≤ Sym(38016c)	rank 14, on cosets of S6(2) < 6 × S6(2)
5	G ≤ GL(27a,4)
6	G ≤ GL(120a,7)
7	G ≤ GL(120a,25)
8	G ≤ GL(120a,121)

Programs for G = 6.U₆(2):

• maxes (all 16):

  1	6 × U5(2)
  1	6 × U5(2)
  2	3 × 2.21+8+:U4(2)
  3	210:3.L3(4)
  4	2 × 31.U4(3).22
  4	2 × 31.U4(3).22
  5	61.U4(3).22
  6	61.U4(3).22
  7	3 × 2.24+8:(S3 × A5)
  8	6 × S6(2)
  8	6 × S6(2)
  9	6 × S6(2)
  10	6 × S6(2)
  11	2 × 3.M22
  11	2 × 3.M22
  12	6.M22
  13	6.M22
  14	6 × S3 × U4(2)
  15	6.(31+4.[27.3])
  16	6.L3(4).21

File created automatically by GAP on 22-Apr-2022.