GAP Package AtlasRep

AtlasRep Info for A9

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Representations for G = A9: (all refer to std. generators 1)
1 G ≤ Sym(9) 7-trans., on cosets of A8 (1st max.)
2 G ≤ Sym(36) rank 3, on cosets of S7 (2nd max.)
3 G ≤ Sym(84) rank 4, on cosets of (A6 × 3):21 (3rd max.)
4 G ≤ Sym(120a) rank 3, on cosets of L2(8):3 (4th max.)
5 G ≤ Sym(120b) rank 3, on cosets of L2(8):3 (5th max.)
6 G ≤ Sym(126) rank 5, on cosets of (A5 × A4):2 (6th max.)
7 G ≤ Sym(280) rank 5, on cosets of 33:S4 (7th max.)
8 G ≤ Sym(840) rank 12, on cosets of 32:2A4 (8th max.)
9 G ≤ GL(8a,2)  
10 G ≤ GL(8b,2)  
11 G ≤ GL(8c,2)  
12 G ≤ GL(20a,2)  
13 G ≤ GL(20b,2)  
14 G ≤ GL(26,2)  
15 G ≤ GL(48,2)  
16 G ≤ GL(78,2)  
17 G ≤ GL(160,2)  
18 G ≤ GL(7,3)  
19 G ≤ GL(21,3)  
20 G ≤ GL(27,3)  
21 G ≤ GL(35,3)  
22 G ≤ GL(41,3)  
23 G ≤ GL(162,3)  
24 G ≤ GL(189,3)  
25 G ≤ GL(8,5)  
26 G ≤ GL(21,5)  
27 G ≤ GL(27,5)  
28 G ≤ GL(28,5)  
29 G ≤ GL(34,5)  
30 G ≤ GL(35a,5)  
31 G ≤ GL(35b,5)  
32 G ≤ GL(56,5)  
33 G ≤ GL(83,5)  
34 G ≤ GL(105,5)  
35 G ≤ GL(120,5)  
36 G ≤ GL(133,5)  
37 G ≤ GL(134,5)  
38 G ≤ GL(8,7)  
39 G ≤ GL(19,7)  
40 G ≤ GL(28,7)  
41 G ≤ GL(35a,7)  
42 G ≤ GL(35b,7)  
43 G ≤ GL(42,7)  
44 G ≤ GL(47,7)  
45 G ≤ GL(56,7)  
46 G ≤ GL(84,7)  
47 G ≤ GL(101,7)  
48 G ≤ GL(105,7)  
49 G ≤ GL(115,7)  
50 G ≤ GL(168,7)  
51 G ≤ GL(189,7)  
52 G ≤ GL(21a,49)  
53 G ≤ GL(21b,49)  
54 G ≤ GL(8,ℤ)  
55 G ≤ GL(27,ℤ)  
56 G ≤ GL(28,ℤ)  
57 G ≤ GL(35a,ℤ)  
58 G ≤ GL(35b,ℤ)  
59 G ≤ GL(42,ℤ)  
60 G ≤ GL(48,ℤ)  
61 G ≤ GL(56,ℤ)  
62 G ≤ GL(84,ℤ)  
63 G ≤ GL(105,ℤ)  
64 G ≤ GL(120,ℤ)  
65 G ≤ GL(162,ℤ)  
66 G ≤ GL(168,ℤ)  
67 G ≤ GL(189,ℤ)  
68 G ≤ GL(216,ℤ)  
Programs for G = A9: (all refer to std. generators 1)

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