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AtlasRep Info for M22.2

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Representations for G = M22.2: (all refer to std. generators 1)
1 G ≤ Sym(22) 3-trans., on cosets of L3(4).22 (2nd max.)
3 G ≤ Sym(77) rank 3, on cosets of 24:S6 (3rd max.)
5 G ≤ Sym(231) rank 4, on cosets of 25:S5 (4th max.)
6 G ≤ Sym(330) rank 5, on cosets of 2 × 23:L3(2) (5th max.)
7 G ≤ Sym(352) rank 6, on cosets of A7 < M22
11 G ≤ Sym(616) rank 5, on cosets of A6.22 (6th max.)
13 G ≤ Sym(672) rank 6, on cosets of L2(11).2 (7th max.)
18 G ≤ GL(10a,2)  
19 G ≤ GL(10b,2)  
20 G ≤ GL(34,2)  
21 G ≤ GL(98,2)  
22 G ≤ GL(140,2)  
23 G ≤ GL(21a,3)  
24 G ≤ GL(55a,3)  
25 G ≤ GL(98,3)  
26 G ≤ GL(99a,3)  
27 G ≤ GL(210a,3)  
28 G ≤ GL(231a,3)  
29 G ≤ GL(21a,5)  
30 G ≤ GL(55a,5)  
31 G ≤ GL(98a,5)  
32 G ≤ GL(133a,5)  
33 G ≤ GL(210a,5)  
34 G ≤ GL(385a,5)  
35 G ≤ GL(560,5)  
36 G ≤ GL(21a,7)  
37 G ≤ GL(45a,7)  
38 G ≤ GL(54a,7)  
39 G ≤ GL(154a,7)  
40 G ≤ GL(210a,7)  
41 G ≤ GL(231a,7)  
42 G ≤ GL(385a,7)  
43 G ≤ GL(560,7)  
44 G ≤ GL(45a,9)  
45 G ≤ GL(45b,9)  
46 G ≤ GL(20a,11)  
47 G ≤ GL(45a,11)  
48 G ≤ GL(45b,11)  
49 G ≤ GL(55a,11)  
50 G ≤ GL(99a,11)  
51 G ≤ GL(154a,11)  
52 G ≤ GL(190a,11)  
53 G ≤ GL(231a,11)  
54 G ≤ GL(385a,11)  
55 G ≤ GL(45a,25)  
56 G ≤ GL(45b,25)  
Programs for G = M22.2: (all refer to std. generators 1)

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