GAP Package AtlasRep

AtlasRep Info for 2.M22

→ ATLAS page for 2.M22
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Representations for G = 2.M22: (all refer to std. generators 1)
1 G ≤ Sym(352a) rank 5, on cosets of A7 < 2 × A7
3 G ≤ Sym(660) rank 7, on cosets of 23:L3(2) < 2 × 23:L3(2)
5 G ≤ GL(56,3) character 56a
6 G ≤ GL(120,3) character 120a
7 G ≤ GL(126b,3) character 126b
8 G ≤ GL(210,3) character 210b
9 G ≤ GL(28a,5) character 28a
10 G ≤ GL(28b,5) character 28b
11 G ≤ GL(120,5) character 120a
12 G ≤ GL(210,5) character 210b
13 G ≤ GL(330,5) character 330a
14 G ≤ GL(440,5) character 440a
15 G ≤ GL(10,7) character 10a
16 G ≤ GL(56,7) character 56a
17 G ≤ GL(120,7) character 120a
18 G ≤ GL(210,7) character 210b
19 G ≤ GL(252,7) character 126ab
20 G ≤ GL(308,7) character 154bc
21 G ≤ GL(320,7) character 320a
22 G ≤ GL(10a,9) character 10a
23 G ≤ GL(10b,9) character 10b
24 G ≤ GL(154,9) character 154b
25 G ≤ GL(10a,11) character 10a
26 G ≤ GL(10b,11) character 10b
27 G ≤ GL(56,11) character 56a
28 G ≤ GL(64,11) character 64a
29 G ≤ GL(126,11) character 126a
30 G ≤ GL(308,11) character 154bc
31 G ≤ GL(330,11) character 330a
32 G ≤ GL(440,11) character 440a
33 G ≤ GL(10a,25) character 10a
34 G ≤ GL(10b,25) character 10b
35 G ≤ GL(126a,25) character 126a
36 G ≤ GL(126a,49) character 126a
37 G ≤ GL(126b,49) character 126b
38 G ≤ GL(154a,49) character 154b
39 G ≤ GL(154b,49) character 154c
40 G ≤ GL(154a,121) character 154b
41 G ≤ GL(154b,121) character 154c
42 G ≤ GL(20,ℤ) character 10ab
43 G ≤ GL(56,ℤ) character 56a
44 G ≤ GL(120,ℤ) character 120a
45 G ≤ GL(210,ℤ) character 210b
46 G ≤ GL(10a,Z/4Z)  
Programs for G = 2.M22:

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