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AtlasRep Info for 3.U₆(2)

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

1	G ≤ Sym(2016)	rank 7, on cosets of U5(2) < 3 × U5(2)
2	G ≤ Sym(2079)	rank 7, on cosets of 21+8+:U4(2) < 3 × 21+8+:U4(2)
3	G ≤ Sym(18711)	rank 11, on cosets of 24+8:(S3 × A5) < 3 × 24+8:(S3 × A5)
4	G ≤ Sym(19008a)	rank 10, on cosets of S6(2) < 3 × S6(2)
5	G ≤ Sym(19008b)	rank 10, on cosets of S6(2) < 3 × S6(2)
6	G ≤ Sym(19008c)	rank 10, on cosets of S6(2) < 3 × S6(2)
7	G ≤ GL(6a,4)
8	G ≤ GL(15a,4)
9	G ≤ GL(84a,4)
10	G ≤ GL(90a,4)
11	G ≤ GL(204a,4)
12	G ≤ GL(384a,4)
13	G ≤ GL(720a,4)
14	G ≤ GL(924a,4)
15	G ≤ GL(21a,7)
16	G ≤ GL(210a,7)
17	G ≤ GL(231a,7)
18	G ≤ GL(462a,7)
19	G ≤ GL(21a,25)
20	G ≤ GL(210a,25)
21	G ≤ GL(231a,25)
22	G ≤ GL(462a,25)
23	G ≤ GL(21a,121)
24	G ≤ GL(210a,121)
25	G ≤ GL(231a,121)
26	G ≤ GL(462a,121)

Programs for G = 3.U₆(2):

• maxes (all 16):

  1	3 × U5(2)
  1	3 × U5(2)
  2	3 × 21+8+:U4(2)
  3	29:3.L3(4)
  4	31.U4(3).22
  4	31.U4(3).22
  5	31.U4(3).22
  6	31.U4(3).22
  7	3 × 24+8:(S3 × A5)
  8	3 × S6(2)
  8	3 × S6(2)
  9	3 × S6(2)
  10	3 × S6(2)
  11	3.M22
  11	3.M22
  12	3.M22
  13	3.M22
  14	3 × S3 × U4(2)
  15	3.(31+4.[27.3])
  16	3.L3(4).21

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