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AtlasRep Info for L₃(8).6

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Representations for G = L₃(8).6: (all refer to std. generators 1)

1	G ≤ Sym(438)	rank 12, on cosets of 26:(7 × L2(8)) < L3(8)
2	G ≤ Sym(657)	rank 4, on cosets of 23+6:72:6 (2nd max.)
3	G ≤ Sym(4672)	rank 7, on cosets of (D14 × L2(8)):3 (3rd max.)
4	G ≤ Sym(56064)	rank 47, on cosets of 72:(6 × S3) (4th max.)
5	G ≤ Sym(75264)	rank 74, on cosets of 73:18 (5th max.)
6	G ≤ Sym(98112)	rank 119, on cosets of L2(7).2 × 3 (6th max.)
7	G ≤ GL(18,2)
8	G ≤ GL(24,2)
9	G ≤ GL(54a,2)
10	G ≤ GL(54b,2)
11	G ≤ GL(144a,2)
12	G ≤ GL(144b,2)
13	G ≤ GL(162,2)
14	G ≤ GL(192,2)
15	G ≤ GL(432a,2)
16	G ≤ GL(432b,2)
17	G ≤ GL(512,2)
18	G ≤ GL(1152,2)
19	G ≤ GL(511,3)
20	G ≤ GL(72,7)
21	G ≤ GL(511,7)
22	G ≤ GL(512,7)
23	G ≤ GL(72,9)
24	G ≤ GL(71,73)
25	G ≤ GL(441,73)
26	G ≤ GL(511a,73)

Programs for G = L₃(8).6: (all refer to std. generators 1)

• repr. cyc. subg.:
• maxes:

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