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AtlasRep Info for L₃(8).2

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Representations for G = L₃(8).2: (all refer to std. generators 1)

1	G ≤ Sym(146)	rank 4, on cosets of 26:(7 × L2(8)) < L3(8)
2	G ≤ Sym(657)	rank 4, on cosets of 23+6:72:2 (2nd max.)
3	G ≤ Sym(4672)	rank 11, on cosets of D14 × L2(8) (3rd max.)
4	G ≤ Sym(56064)	rank 125, on cosets of 72:D12 (4th max.)
5	G ≤ Sym(75264)	rank 216, on cosets of 73:6 (5th max.)
6	G ≤ Sym(98112)	rank 335, on cosets of L2(7).2 (6th max.)
7	G ≤ GL(54,2)
8	G ≤ GL(511,3)
9	G ≤ GL(72,7)
10	G ≤ GL(512,7)
11	G ≤ GL(6,8)
12	G ≤ GL(8,8)
13	G ≤ GL(18a,8)
14	G ≤ GL(18b,8)
15	G ≤ GL(48a,8)
16	G ≤ GL(48b,8)
17	G ≤ GL(54,8)
18	G ≤ GL(64,8)
19	G ≤ GL(144a,8)
20	G ≤ GL(144b,8)
21	G ≤ GL(384,8)
22	G ≤ GL(72,9)
23	G ≤ GL(71,73)
24	G ≤ GL(441,73)
25	G ≤ GL(511a,73)
26	G ≤ GL(511b,73)

Programs for G = L₃(8).2: (all refer to std. generators 1)

• repr. cyc. subg.:
• maxes:

  1

  L3(8)

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