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AtlasRep Info for (2² × 3).U₆(2)

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Representations for G = (2² × 3).U₆(2): (all refer to std. generators 1)

1	G ≤ Sym(4704)	orbit lengths 2016, 2688
2	G ≤ Sym(8064)	rank 19, on cosets of U5(2) < 22 × 3 × U5(2)
3	G ≤ GL(27a,4)

Programs for G = (2² × 3).U₆(2):

• maxes (all 16):

  1	22 × 3 × U5(2)
  1	22 × 3 × U5(2)
  2	3 × 22.21+8+:U4(2)
  3	210:6.L3(4)
  4	2 × 61.U4(3).22
  4	2 × 61.U4(3).22
  5	2 × 61.U4(3).22
  6	2 × 61.U4(3).22
  7	3 × 22.24+8:(S3 × A5)
  8	22 × 3 × S6(2)
  8	22 × 3 × S6(2)
  9	22 × 3 × S6(2)
  10	22 × 3 × S6(2)
  11	2 × 6.M22
  11	2 × 6.M22
  12	2 × 6.M22
  13	2 × 6.M22
  14	22 × 3 × S3 × U4(2)
  15	(22 × 3).(31+4.[27.3])
  16

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