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AtlasRep Info for 4₂.L₃(4)

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Representations for G = 4₂.L₃(4): (all refer to std. generators 1)

1	G ≤ Sym(224)	rank 10, on cosets of A6 < 4 × A6
2	G ≤ Sym(480)	rank 14, on cosets of L2(7) < 4 × L2(7)
3	G ≤ GL(8,3)
4	G ≤ GL(32,3)
5	G ≤ GL(56a,3)
6	G ≤ GL(56b,3)
7	G ≤ GL(72,3)
8	G ≤ GL(120,3)
9	G ≤ GL(20a,5)
10	G ≤ GL(28a,5)
11	G ≤ GL(36a,5)
12	G ≤ GL(160a,5)
13	G ≤ GL(40,7)
14	G ≤ GL(56a,7)
15	G ≤ GL(56b,7)
16	G ≤ GL(72,7)
17	G ≤ GL(88,7)
18	G ≤ GL(4a,9)
19	G ≤ GL(16a,9)
20	G ≤ GL(28a,9)
21	G ≤ GL(28b,9)
22	G ≤ GL(36a,9)
23	G ≤ GL(60a,9)
24	G ≤ GL(80a,25)
25	G ≤ GL(80b,25)
26	G ≤ GL(20a,49)
27	G ≤ GL(28a,49)
28	G ≤ GL(28b,49)
29	G ≤ GL(36a,49)
30	G ≤ GL(44a,49)

Programs for G = 4₂.L₃(4):

• maxes (7 out of 9):

  1	42.24:A5
  2
  3
  6
  7
  8
  9

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