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AtlasRep Info for 2.U₆(2)

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

1	G ≤ Sym(1344)	rank 5, on cosets of U5(2) < 2 × U5(2)
2	G ≤ Sym(2816a)	rank 5, on cosets of U4(3).22 < 2 × U4(3).22
3	G ≤ Sym(2816b)	rank 5, on cosets of U4(3).22 < 2 × U4(3).22
4	G ≤ Sym(5632)	rank 9, on cosets of U4(3) < 2 × U4(3).22
5	G ≤ Sym(12672a)	rank 7, on cosets of S6(2) < 2 × S6(2)
6	G ≤ Sym(12672b)	rank 6, on cosets of S6(2) < 2 × S6(2)
7	G ≤ Sym(12672c)	rank 6, on cosets of S6(2) < 2 × S6(2)
8	G ≤ Sym(41472)	rank 15, on cosets of M22 < 2 × M22
9	G ≤ GL(56,3)
10	G ≤ GL(120,3)
11	G ≤ GL(560,3)
12	G ≤ GL(56,5)
13	G ≤ GL(176,5)
14	G ≤ GL(616,5)
15	G ≤ GL(56,7)
16	G ≤ GL(176,7)
17	G ≤ GL(616,7)
18	G ≤ GL(56,11)
19	G ≤ GL(176,11)
20	G ≤ GL(616,11)

Programs for G = 2.U₆(2):

• maxes (all 16):

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

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