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AtlasRep Info for L₂(27)

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Representations for G = L₂(27): (all refer to std. generators 1)

1	G ≤ Sym(28)	2-trans., on cosets of 33:13 (1st max.)
2	G ≤ GL(27,3)	character 27a
3	G ≤ GL(13a,4)	character 13a
4	G ≤ GL(13b,4)	character 13b
5	G ≤ GL(26,7)	character 26a
6	G ≤ GL(27,13)	character 27a
7	G ≤ GL(3a,27)	character 3a
8	G ≤ GL(26g,ℤ)	character 13ab
9	G ≤ GL(27,ℤ)	character 27a
10	G ≤ GL(78a,ℤ)	character 26abc
11	G ≤ GL(13a,Field([Sqrt(-3)]))	character 13a
12	G ≤ GL(13b,Field([Sqrt(-3)]))	character 13b
13	G ≤ GL(28a,Field([E(13)]))	character 28a
14	G ≤ GL(28b,Field([E(13)]))	character 28b
15	G ≤ GL(28c,Field([E(13)]))	character 28c
16	G ≤ GL(28d,Field([E(13)]))	character 28d
17	G ≤ GL(28e,Field([E(13)]))	character 28e
18	G ≤ GL(28f,Field([E(13)]))	character 28f

Programs for G = L₂(27): (all refer to std. generators 1)

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

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