GAP Package AtlasRep

AtlasRep Info for S6(2)

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Representations for G = S6(2): (all refer to std. generators 1)
1 G ≤ Sym(28) 2-trans., on cosets of U4(2).2 (1st max.)
2 G ≤ Sym(36) 2-trans., on cosets of S8 (2nd max.)
3 G ≤ Sym(56) rank 4, on cosets of U4(2) < U4(2).2
4 G ≤ Sym(63) rank 3, on cosets of 25:S6 (3rd max.)
5 G ≤ Sym(72) rank 4, on cosets of A8 < S8
6 G ≤ Sym(120) rank 3, on cosets of U3(3):2 (4th max.)
7 G ≤ Sym(126) rank 5, on cosets of 25:A6 < 25:S6
8 G ≤ Sym(135) rank 4, on cosets of 26:L3(2) (5th max.)
9 G ≤ Sym(240) rank 5, on cosets of U3(3) < U3(3):2
10 G ≤ Sym(288) rank 5, on cosets of S7 < S8
11 G ≤ Sym(315) rank 5, on cosets of 2.[26]:(S3 × S3) (6th max.)
12 G ≤ Sym(336) rank 5, on cosets of S3 × S6 (7th max.)
13 G ≤ Sym(378a) rank 8, on cosets of 2 × 24:S5 < 25:S6
14 G ≤ Sym(378b) rank 6, on cosets of 25:S5 < 25:S6
15 G ≤ Sym(960) rank 6, on cosets of L2(8).3 (8th max.)
16 G ≤ GL(6,2) character 6a
17 G ≤ GL(8,2) character 8a
18 G ≤ GL(14,2) character 14a
19 G ≤ GL(48,2) character 48a
20 G ≤ GL(64,2) character 64a
21 G ≤ GL(112,2) character 112a
22 G ≤ GL(512,2) character 512a
23 G ≤ GL(7,3) character 7a
24 G ≤ GL(14,3) character 14a
25 G ≤ GL(21,3) character 21a
26 G ≤ GL(27,3) character 27a
27 G ≤ GL(34,3) character 34a
28 G ≤ GL(35,3) character 35a
29 G ≤ GL(49,3) character 49a
30 G ≤ GL(91,3) character 91a
31 G ≤ GL(98,3) character 98a
32 G ≤ GL(189a,3) character 189a
33 G ≤ GL(189b,3) character 189b
34 G ≤ GL(189c,3) character 189c
35 G ≤ GL(196,3) character 196a
36 G ≤ GL(405,3) character 405a
37 G ≤ GL(7,ℤ) character 7a
38 G ≤ GL(15,ℤ) character 15a
39 G ≤ GL(21a,ℤ) character 21a
40 G ≤ GL(21b,ℤ) character 21b
41 G ≤ GL(27,ℤ) character 27a
42 G ≤ GL(35a,ℤ) character 35a
43 G ≤ GL(35b,ℤ) character 35b
44 G ≤ GL(56,ℤ) character 56a
45 G ≤ GL(70,ℤ) character 70a
46 G ≤ GL(84,ℤ) character 84a
47 G ≤ GL(105a,ℤ) character 105a
48 G ≤ GL(105b,ℤ) character 105b
49 G ≤ GL(105c,ℤ) character 105c
50 G ≤ GL(120,ℤ) character 120a
51 G ≤ GL(168,ℤ) character 168a
52 G ≤ GL(189a,ℤ) character 189a
53 G ≤ GL(189b,ℤ) character 189b
54 G ≤ GL(189c,ℤ) character 189c
55 G ≤ GL(210a,ℤ) character 210a
56 G ≤ GL(210b,ℤ) character 210b
57 G ≤ GL(216,ℤ) character 216a
Programs for G = S6(2): (all refer to std. generators 1)

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