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AtlasRep Info for L₇(2)

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Representations for G = L₇(2): (all refer to std. generators 1)

1	G ≤ Sym(127a)	2-trans., on cosets of 26:L6(2) (1st max.)
2	G ≤ Sym(127b)	2-trans., on cosets of 26:L6(2) (2nd max.)
3	G ≤ GL(7a,2)
4	G ≤ GL(7b,2)
5	G ≤ GL(21a,2)
6	G ≤ GL(21b,2)
7	G ≤ GL(35a,2)
8	G ≤ GL(35b,2)
9	G ≤ GL(48,2)
10	G ≤ GL(112a,2)
11	G ≤ GL(112b,2)
12	G ≤ GL(133a,2)
13	G ≤ GL(133b,2)
14	G ≤ GL(175a,2)
15	G ≤ GL(175b,2)
16	G ≤ GL(224a,2)
17	G ≤ GL(224b,2)
18	G ≤ GL(392a,2)
19	G ≤ GL(448a,2)
20	G ≤ GL(448b,2)
21	G ≤ GL(469a,2)
22	G ≤ GL(469b,2)
23	G ≤ GL(707a,2)
24	G ≤ GL(707b,2)
25	G ≤ GL(736a,2)
26	G ≤ GL(126,ℤ)

Programs for G = L₇(2): (all refer to std. generators 1)

• std. gen. checker:
• automorphisms:

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