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AtlasRep Info for 2.A₈

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Representations for G = 2.A₈: (all refer to std. generators 1)

1	G ≤ Sym(240a)	rank 10, on cosets of L3(2) < 21+3:L3(2)
2	G ≤ Sym(240b)	rank 7, on cosets of 23:7:3 < 21+3:L3(2)
3	G ≤ Sym(240c)	rank 7, on cosets of 23:7:3 < 21+3:L3(2)
4	G ≤ GL(8,3)
5	G ≤ GL(48a,3)
6	G ≤ GL(48b,3)
7	G ≤ GL(8,5)
8	G ≤ GL(48a,5)
9	G ≤ GL(48b,5)
10	G ≤ GL(64,5)
11	G ≤ GL(8,7)
12	G ≤ GL(16,7)
13	G ≤ GL(48,7)
14	G ≤ GL(56a,7)
15	G ≤ GL(56b,7)
16	G ≤ GL(112,7)
17	G ≤ GL(24a,9)
18	G ≤ GL(24b,9)
19	G ≤ GL(24a,25)
20	G ≤ GL(24b,25)
21	G ≤ GL(32a,25)
22	G ≤ GL(32b,25)
23	G ≤ GL(56c,49)
24	G ≤ GL(56d,49)
25	G ≤ GL(8,ℤ)
26	G ≤ GL(4a,Z/4Z)

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