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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:

• presentation: (for std. generators 1)
• std. gen. checker: (for std. generators 1)
• maxes (all 4):

  1	L3(2)
  1	L3(2)
  2	7:6
  3	D16
  4	S3 × 2

• restandardizations:

  2 -> 1

  2 -> 1

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