GAP Package AtlasRep

AtlasRep Info for M12

→ ATLAS page for M12
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Representations for G = M12: (all refer to std. generators 1)
1 G ≤ Sym(12a) 5-trans., on cosets of M11 (1st max.)
2 G ≤ Sym(12b) 5-trans., on cosets of M11 (2nd max.)
3 G ≤ Sym(66a) rank 3, on cosets of A6.22 (3rd max.)
4 G ≤ Sym(66b) rank 3, on cosets of A6.22 (4th max.)
15 G ≤ GL(10,2) character 10a
16 G ≤ GL(44,2) character 44a
17 G ≤ GL(144,2) character 144a
18 G ≤ GL(10a,3) character 10a
19 G ≤ GL(15b,3) character 15b
20 G ≤ GL(34,3) character 34a
21 G ≤ GL(45a,3) character 45a
22 G ≤ GL(45b,3) character 45b
23 G ≤ GL(54,3) character 54a
24 G ≤ GL(99,3) character 99a
25 G ≤ GL(16a,4) character 16a
26 G ≤ GL(16b,4) character 16b
27 G ≤ GL(11a,5) character 11a
28 G ≤ GL(16b,5) character 16b
29 G ≤ GL(45,5) character 45a
30 G ≤ GL(55a,5) character 55a
31 G ≤ GL(55c,5) character 55c
32 G ≤ GL(66,5) character 66a
33 G ≤ GL(78,5) character 78a
34 G ≤ GL(98,5) character 98a
35 G ≤ GL(120,5) character 120a
36 G ≤ GL(11a,11) character 11a
37 G ≤ GL(16,11) character 16a
38 G ≤ GL(29,11) character 29a
39 G ≤ GL(53,11) character 53a
40 G ≤ GL(55a,11) character 55a
41 G ≤ GL(55c,11) character 55c
42 G ≤ GL(66,11) character 66a
43 G ≤ GL(91,11) character 91a
44 G ≤ GL(99,11) character 99a
45 G ≤ GL(176,11) character 176a
46 G ≤ GL(11a,ℤ) character 11a
47 G ≤ GL(11b,ℤ) character 11b
48 G ≤ GL(32,ℤ) character 16ab
49 G ≤ GL(45,ℤ) character 45a
50 G ≤ GL(54,ℤ) character 54a
51 G ≤ GL(55a,ℤ) character 55a
52 G ≤ GL(55b,ℤ) character 55b
53 G ≤ GL(55c,ℤ) character 55c
54 G ≤ GL(66,ℤ) character 66a
55 G ≤ GL(99,ℤ) character 99a
56 G ≤ GL(120,ℤ) character 120a
57 G ≤ GL(144,ℤ) character 144a
58 G ≤ GL(176,ℤ) character 176a
Programs for G = M12: (all refer to std. generators 1)

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