GAP Package AtlasRep

AtlasRep Info for O8(2)

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Representations for G = O8(2): (all refer to std. generators 1)
1 G ≤ Sym(119) rank 3, on cosets of 26:U4(2) (1st max.)
2 G ≤ Sym(136) rank 3, on cosets of S6(2) (2nd max.)
3 G ≤ Sym(765) rank 4, on cosets of 23+6:(L3(2) × 3) (3rd max.)
4 G ≤ Sym(1071) rank 5, on cosets of 21+8+:(S3 × A5) (4th max.)
5 G ≤ Sym(1632) rank 5, on cosets of (3 × A8):2 (5th max.)
6 G ≤ Sym(24192) rank 16, on cosets of L2(16):2 (6th max.)
7 G ≤ Sym(45696) rank 47, on cosets of (S3 × S3 × A5):2 (7th max.)
8 G ≤ GL(8,2) character 8a
9 G ≤ GL(26,2) character 26a
10 G ≤ GL(48,2) character 48a
11 G ≤ GL(34,3) character 34a
12 G ≤ GL(50,3) character 50a
13 G ≤ GL(8b,4) character 8b
14 G ≤ GL(8c,4) character 8c
15 G ≤ GL(48b,4) character 48b
16 G ≤ GL(48c,4) character 48c
17 G ≤ GL(34,5) character 34a
18 G ≤ GL(51,5) character 51a
19 G ≤ GL(84,5) character 84a
20 G ≤ GL(33,7) character 33a
21 G ≤ GL(51,7) character 51a
22 G ≤ GL(84,7) character 84a
23 G ≤ GL(34,17) character 34a
24 G ≤ GL(51,17) character 51a
25 G ≤ GL(83,17) character 83a
26 G ≤ GL(34,ℤ) character 34a
27 G ≤ GL(51,ℤ) character 51a
28 G ≤ GL(84,ℤ) character 84a
29 G ≤ GL(204a,ℤ) character 204a
30 G ≤ GL(204b,ℤ) character 204b
Programs for G = O8(2): (all refer to std. generators 1)

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