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AtlasRep Info for L₂(8)

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Representations for G = L₂(8): (all refer to std. generators 1)

1	G ≤ Sym(9)	3-trans., on cosets of 23:7 (1st max.)
2	G ≤ Sym(28)	rank 4, on cosets of D18 (2nd max.)
3	G ≤ Sym(36)	rank 5, on cosets of D14 (3rd max.)
4	G ≤ GL(6,2)	character 2abc
5	G ≤ GL(8,2)	character 8a
6	G ≤ GL(12,2)	character 4abc
7	G ≤ GL(7,3)	character 7a
8	G ≤ GL(27,3)	character 9abc
9	G ≤ GL(7a,7)	character 7a
10	G ≤ GL(8,7)	character 8a
11	G ≤ GL(21,7)	character 7bcd
12	G ≤ GL(2a,8)	character 2a
13	G ≤ GL(2b,8)	character 2b
14	G ≤ GL(2c,8)	character 2c
15	G ≤ GL(4a,8)	character 4a
16	G ≤ GL(4b,8)	character 4b
17	G ≤ GL(4c,8)	character 4c
18	G ≤ GL(9a,27)	character 9a
19	G ≤ GL(9b,27)	character 9b
20	G ≤ GL(9c,27)	character 9c
21	G ≤ GL(7a,ℤ)	character 7a
22	G ≤ GL(8,ℤ)	character 8a
23	G ≤ GL(27,ℤ)	character 9abc
24	G ≤ GL(7b,Field([EY(9)]))	character 7b
25	G ≤ GL(7c,Field([EY(9)]))	character 7c
26	G ≤ GL(7d,Field([EY(9)]))	character 7d
27	G ≤ GL(9a,Field([EY(7)]))	character 9a
28	G ≤ GL(9b,Field([EY(7)]))	character 9b
29	G ≤ GL(9c,Field([EY(7)]))	character 9c

Programs for G = L₂(8): (all refer to std. generators 1)

• repr. cyc. subg.:
• std. gen. checker:
• class repres.:

  (direct)

  (composed)

• maxes (all 3):

  1	23:7
  2	D18
  3	D14

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