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AtlasRep Info for L₃(8).3

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Representations for G = L₃(8).3: (all refer to std. generators 1)

1	G ≤ Sym(73a)	2-trans., on cosets of 26:(7 × L2(8)):3 (2nd max.)
2	G ≤ Sym(73b)	2-trans., on cosets of 26:(7 × L2(8)):3 (3rd max.)
3	G ≤ Sym(219a)	rank 6, on cosets of 26:(7 × L2(8)) < 26:(7 × L2(8)):3
4	G ≤ Sym(219b)	rank 6, on cosets of 26:(7 × L2(8)) < 26:(7 × L2(8)):3
5	G ≤ Sym(56064)	rank 80, on cosets of 72:(3 × S3) (4th max.)
6	G ≤ Sym(75264)	rank 126, on cosets of 73:9 (5th max.)
7	G ≤ Sym(98112)	rank 381, on cosets of L2(8) < 26:(7 × L2(8)):3
8	G ≤ GL(9,2)
9	G ≤ GL(24,2)
10	G ≤ GL(27a,2)
11	G ≤ GL(27b,2)
12	G ≤ GL(27c,2)
13	G ≤ GL(72a,2)
14	G ≤ GL(72b,2)
15	G ≤ GL(81,2)
16	G ≤ GL(192,2)
17	G ≤ GL(216a,2)
18	G ≤ GL(216b,2)
19	G ≤ GL(576,2)
20	G ≤ GL(72,3)
21	G ≤ GL(511,3)
22	G ≤ GL(72,7)
23	G ≤ GL(511,7)
24	G ≤ GL(512,7)
25	G ≤ GL(71,73)
26	G ≤ GL(441,73)
27	G ≤ GL(511a,73)

Programs for G = L₃(8).3: (all refer to std. generators 1)

• repr. cyc. subg.:
• maxes:

  1	L3(8)
  2
  3
  4
  5
  6

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