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AtlasRep Info for L3(2).2

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Representations for G = L3(2).2: (all refer to std. generators 1)
1 G ≤ Sym(8) 3-trans., on cosets of 7:6 (2nd max.)
2 G ≤ Sym(14) rank 4, on cosets of S4 < L2(7)
3 G ≤ Sym(16) rank 4, on cosets of 7:3 < 7:6
4 G ≤ Sym(21) rank 4, on cosets of D16 (3rd max.)
5 G ≤ Sym(24) rank 6, on cosets of D14 < 7:6
6 G ≤ Sym(28) rank 5, on cosets of D12 (4th max.)
7 G ≤ Sym(28b) rank 6, on cosets of A4 < S4
8 G ≤ Sym(42a) rank 12, on cosets of D8 < S4
9 G ≤ Sym(42b) rank 9, on cosets of D8 < D16
10 G ≤ Sym(42c) rank 7, on cosets of 8 < D16
11 G ≤ Sym(48) rank 12, on cosets of 7 < 7:6
12 G ≤ Sym(56a) rank 14, on cosets of S3 < S4
13 G ≤ Sym(56b) rank 13, on cosets of S3 < D12
14 G ≤ Sym(56c) rank 11, on cosets of 6 < D12
15 G ≤ Sym(84a) rank 30, on cosets of 22 < S4
16 G ≤ Sym(84b) rank 25, on cosets of 22 < D12
17 G ≤ Sym(84c) rank 24, on cosets of 4 < S4
18 G ≤ Sym(112) rank 40, on cosets of 3 < 7:3
19 G ≤ Sym(168a) rank 88, on cosets of 2 < S4
20 G ≤ Sym(168b) rank 87, on cosets of 2 < D12
21 G ≤ Sym(336) rank 336, on cosets of 1 < L2(7)
Programs for G = L3(2).2:

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