GAP Package AtlasRep

AtlasRep Info for M₁₂.2

→ ATLAS page for M₁₂.2

→ Overview of Groups

Representations for G = M₁₂.2: (all refer to std. generators 1)

1	G ≤ Sym(24)	rank 3, on cosets of M11 < M12
14	G ≤ GL(10,2)
15	G ≤ GL(32,2)
16	G ≤ GL(44,2)
17	G ≤ GL(144,2)
18	G ≤ GL(20a,3)
19	G ≤ GL(30a,3)
20	G ≤ GL(34a,3)
21	G ≤ GL(45a,3)
22	G ≤ GL(90a,3)
23	G ≤ GL(99a,3)
24	G ≤ GL(22a,5)
25	G ≤ GL(32a,5)
26	G ≤ GL(45a,5)
27	G ≤ GL(55a,5)
28	G ≤ GL(66a,5)
29	G ≤ GL(78a,5)
30	G ≤ GL(98a,5)
31	G ≤ GL(110a,5)
32	G ≤ GL(54a,9)
33	G ≤ GL(16a,11)
34	G ≤ GL(22a,11)
35	G ≤ GL(29a,11)
36	G ≤ GL(53a,11)
37	G ≤ GL(55a,11)
38	G ≤ GL(66a,11)
39	G ≤ GL(91a,11)
40	G ≤ GL(99a,11)
41	G ≤ GL(110a,11)
42	G ≤ GL(176a,11)
43	G ≤ GL(120a,25)

Programs for G = M₁₂.2: (all refer to std. generators 1)

• repr. cyc. subg.:
• std. gen. finder:
• maxes (8 out of 9):

  2	L2(11).2
  2	L2(11).2
  3	L2(11).2
  3	L2(11).2
  4	(22 × A5):2
  5	D8.(S4 × 2)
  6	42:D12.2
  7	31+2:D8
  8	S4 × S3
  9	S5

• presentation:
• std. gen. checker:

  (check)

  (pres)

  (pres)

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