GAP Package AtlasRep

AtlasRep Info for 12.M₂₂

→ ATLAS page for 12.M₂₂

→ Overview of Groups

Representations for G = 12.M₂₂: (all refer to std. generators 1)

1	G ≤ Sym(31680a)	rank 256, on cosets of L3(2) < 3 × 2.(23:L3(2) × 2)
2	G ≤ GL(48a,25)
3	G ≤ GL(120a,25)
4	G ≤ GL(120b,25)
5	G ≤ GL(144a,25)
6	G ≤ GL(144b,25)
7	G ≤ GL(336a,25)
8	G ≤ GL(120a,49)
9	G ≤ GL(120b,49)
10	G ≤ GL(144a,49)
11	G ≤ GL(336a,49)
12	G ≤ GL(336b,49)
13	G ≤ GL(24a,121)
14	G ≤ GL(24b,121)
15	G ≤ GL(96a,121)
16	G ≤ GL(120a,121)
17	G ≤ GL(120b,121)
18	G ≤ GL(120c,121)
19	G ≤ GL(120d,121)
20	G ≤ GL(144a,121)
21	G ≤ GL(144b,121)
22	G ≤ GL(336a,121)

Programs for G = 12.M₂₂:

• maxes (all 8):

  1	121.L3(4)
  2	2.25:3A6
  3	2.(2 × 3.A7)
  4	2.(2 × 3.A7)
  5	3 × 2.(25:S5)
  6	3 × 2.(2 × 23:L3(2))
  7	(4 × 3.A6).23
  7	(4 × 3.A6).23
  8	3 × 2.(2 × L2(11))

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