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AtlasRep Info for 2.A₇

→ ATLAS page for 2.A₇

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Representations for G = 2.A₇: (all refer to std. generators 1)

1	G ≤ Sym(240)	rank 20, on cosets of 7:3 < 2.L3(2)
2	G ≤ GL(8,3)
3	G ≤ GL(12,3)
4	G ≤ GL(36,3)
5	G ≤ GL(8,5)
6	G ≤ GL(20a,5)
7	G ≤ GL(20b,5)
8	G ≤ GL(28,5)
9	G ≤ GL(4,7)
10	G ≤ GL(14a,7)
11	G ≤ GL(14b,7)
12	G ≤ GL(16,7)
13	G ≤ GL(20,7)
14	G ≤ GL(4a,9)
15	G ≤ GL(4b,9)
16	G ≤ GL(6a,9)
17	G ≤ GL(6b,9)
18	G ≤ GL(4a,25)
19	G ≤ GL(4b,25)
20	G ≤ GL(14a,25)
21	G ≤ GL(14b,25)
22	G ≤ GL(4a,Field([Sqrt(-7)]))
23	G ≤ GL(4b,Field([Sqrt(-7)]))
24	G ≤ GL(20a,Field([Sqrt(-7)]))

Programs for G = 2.A₇:

• maxes (2 out of 5):

  1	2.A6
  2	2.L3(2)

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