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AtlasRep Info for 2.S₆(2)

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Representations for G = 2.S₆(2): (all refer to std. generators 1)

1	G ≤ Sym(240a)	rank 4, on cosets of U3(3).2 < 2 × U3(3).2
2	G ≤ Sym(240b)	rank 5, on cosets of U3(3).2 < 2 × U3(3).2
3	G ≤ Sym(480)	rank 8, on cosets of U3(3) < 2 × U3(3).2
4	G ≤ Sym(1920)	rank 10, on cosets of L2(8).3 < 2 × L2(8).3
5	G ≤ Sym(2160)	rank 13, on cosets of 23.L3(2) < 27.L3(2)
6	G ≤ GL(8,3)
7	G ≤ GL(48,3)
8	G ≤ GL(56a,3)
9	G ≤ GL(56b,3)
10	G ≤ GL(104,3)
11	G ≤ GL(272,3)
12	G ≤ GL(8,ℤ)

Programs for G = 2.S₆(2): (all refer to std. generators 1)

• presentation:
• std. gen. checker:
• maxes (all 8):

  1	2.U4(2).2
  2	Isoclinic(2.A8.2)
  3	2.(25:S6)
  4	2 × U3(3).2
  5	2.26.L3(2)
  6	22.[26].(S3 × S3)
  7	2.(S3 × S6)
  8	L2(8):3 × 2

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