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AtlasRep Info for 3.M₂₂

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Representations for G = 3.M₂₂: (all refer to std. generators 1)

1	G ≤ Sym(693)	rank 10, on cosets of 24:S5 < 3 × 24:S5
2	G ≤ Sym(990)	rank 13, on cosets of 23:L3(2) < 3 × 23:L3(2)
4	G ≤ Sym(2016)	rank 16, on cosets of L2(11) < 3 × L2(11)
5	G ≤ GL(6a,4)
6	G ≤ GL(15a,4)
7	G ≤ GL(45a,4)
8	G ≤ GL(45b,4)
9	G ≤ GL(84a,4)
10	G ≤ GL(384a,4)
11	G ≤ GL(21a,7)
12	G ≤ GL(45a,7)
13	G ≤ GL(99a,7)
14	G ≤ GL(210a,7)
15	G ≤ GL(210b,7)
16	G ≤ GL(231a,7)
17	G ≤ GL(231b,7)
18	G ≤ GL(285a,7)
19	G ≤ GL(21a,25)
20	G ≤ GL(45a,25)
21	G ≤ GL(45b,25)
22	G ≤ GL(78a,25)
23	G ≤ GL(105a,25)
24	G ≤ GL(105b,25)
25	G ≤ GL(153a,25)
26	G ≤ GL(210a,25)
27	G ≤ GL(231a,25)
28	G ≤ GL(330a,25)
29	G ≤ GL(105a,49)
30	G ≤ GL(105b,49)
31	G ≤ GL(21a,121)
32	G ≤ GL(21a1,121)
33	G ≤ GL(45a,121)
34	G ≤ GL(45b,121)
35	G ≤ GL(84a,121)
36	G ≤ GL(99a,121)
37	G ≤ GL(210a,121)
38	G ≤ GL(231a,121)
39	G ≤ GL(231b,121)
40	G ≤ GL(330a,121)

Programs for G = 3.M₂₂:

• maxes (all 8):

  1	3.L3(4)
  2	24:3A6
  3	3.A7
  4	3.A7
  5	3 × 24:S5
  6	3 × 23:L3(2)
  7	3.A6.23
  7	3.A6.23
  8	3 × L2(11)

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