GAP Package AtlasRep

AtlasRep Info for A10

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Representations for G = A10: (all refer to std. generators 1)
1 G ≤ Sym(10) 8-trans., on cosets of A9 (1st max.)
2 G ≤ Sym(45) rank 3, on cosets of S8 (2nd max.)
3 G ≤ Sym(120) rank 4, on cosets of (A7 × 3):2 (3rd max.)
4 G ≤ Sym(126) rank 3, on cosets of (A5 × A5):4 (4th max.)
5 G ≤ Sym(210) rank 5, on cosets of (A6 × A4):2 (5th max.)
6 G ≤ Sym(945) rank 7, on cosets of 24:S5 (6th max.)
7 G ≤ Sym(2520) rank 12, on cosets of A6.23 (7th max.)
8 G ≤ GL(8,2)  
9 G ≤ GL(16,2)  
10 G ≤ GL(26,2)  
11 G ≤ GL(48,2)  
12 G ≤ GL(64a,2)  
13 G ≤ GL(64b,2)  
14 G ≤ GL(160,2)  
15 G ≤ GL(198,2)  
16 G ≤ GL(200,2)  
17 G ≤ GL(9,3)  
18 G ≤ GL(34,3)  
19 G ≤ GL(36,3)  
20 G ≤ GL(41,3)  
21 G ≤ GL(84,3)  
22 G ≤ GL(90,3)  
23 G ≤ GL(126,3)  
24 G ≤ GL(224,3)  
25 G ≤ GL(279,3)  
26 G ≤ GL(567,3)  
27 G ≤ GL(384a,4)  
28 G ≤ GL(8,5)  
29 G ≤ GL(28,5)  
30 G ≤ GL(34,5)  
31 G ≤ GL(35a,5)  
32 G ≤ GL(35b,5)  
33 G ≤ GL(35c,5)  
34 G ≤ GL(55,5)  
35 G ≤ GL(56,5)  
36 G ≤ GL(75,5)  
37 G ≤ GL(133a,5)  
38 G ≤ GL(133b,5)  
39 G ≤ GL(155,5)  
40 G ≤ GL(160,5)  
41 G ≤ GL(217,5)  
42 G ≤ GL(225,5)  
43 G ≤ GL(300,5)  
44 G ≤ GL(350,5)  
45 G ≤ GL(450,5)  
46 G ≤ GL(525,5)  
47 G ≤ GL(9,7)  
48 G ≤ GL(35,7)  
49 G ≤ GL(36,7)  
50 G ≤ GL(66,7)  
51 G ≤ GL(84,7)  
52 G ≤ GL(89,7)  
53 G ≤ GL(124,7)  
54 G ≤ GL(126,7)  
55 G ≤ GL(315,7)  
56 G ≤ GL(9,ℤ)  
57 G ≤ GL(35,ℤ)  
58 G ≤ GL(36,ℤ)  
59 G ≤ GL(42,ℤ)  
60 G ≤ GL(75,ℤ)  
61 G ≤ GL(84,ℤ)  
62 G ≤ GL(90,ℤ)  
63 G ≤ GL(126,ℤ)  
64 G ≤ GL(160,ℤ)  
65 G ≤ GL(210,ℤ)  
66 G ≤ GL(224a,ℤ)  
67 G ≤ GL(224b,ℤ)  
68 G ≤ GL(225,ℤ)  
Programs for G = A10: (all refer to std. generators 1)

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