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AtlasRep Info for L₃(7)

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Representations for G = L₃(7): (all refer to std. generators 1)

1	G ≤ Sym(57)	2-trans., on cosets of 72:2.L2(7).2 (1st max.)
2	G ≤ GL(152a,2)	character 152a
3	G ≤ GL(55,3)	character 55a
4	G ≤ GL(57,3)	character 57a
5	G ≤ GL(96a,3)	character 96a
6	G ≤ GL(96b,3)	character 96b
7	G ≤ GL(96c,3)	character 96c
8	G ≤ GL(342a,3)	character 342a
9	G ≤ GL(399,3)	character 399a
10	G ≤ GL(8,7)	character 8a
11	G ≤ GL(10a,7)	character 10a
12	G ≤ GL(10b,7)	character 10b
13	G ≤ GL(27,7)	character 27a
14	G ≤ GL(56,ℤ)	character 56a
15	G ≤ GL(57,ℤ)	character 57a
16	G ≤ GL(152a,ℤ)	character 152a
17	G ≤ GL(152b,ℤ)	character 152b
18	G ≤ GL(152c,ℤ)	character 152c

Programs for G = L₃(7): (all refer to std. generators 1)

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

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