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AtlasRep Info for 3.L₃(4)

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Representations for G = 3.L₃(4): (all refer to std. generators 1)

1	G ≤ Sym(63a)	rank 4, on cosets of 24:A5 < 3 × 24:A5
2	G ≤ Sym(63b)	rank 4, on cosets of 24:A5 < 3 × 24:A5
3	G ≤ Sym(360a)	rank 10, on cosets of L2(7) < 3 × L2(7)
4	G ≤ Sym(360b)	rank 10, on cosets of L2(7) < 3 × L2(7)
5	G ≤ Sym(360c)	rank 10, on cosets of L2(7) < 3 × L2(7)
6	G ≤ GL(6a,2)
7	G ≤ GL(6b,2)
8	G ≤ GL(18,2)
9	G ≤ GL(48a,2)
10	G ≤ GL(48b,2)
11	G ≤ GL(3a,4)
12	G ≤ GL(3b,4)
13	G ≤ GL(9a,4)
14	G ≤ GL(24a,4)
15	G ≤ GL(24b,4)
16	G ≤ GL(42,5)
17	G ≤ GL(15a,7)
18	G ≤ GL(15b,7)
19	G ≤ GL(15c,7)
20	G ≤ GL(21a,7)
21	G ≤ GL(84a,7)
22	G ≤ GL(126a,7)
23	G ≤ GL(21a,25)
24	G ≤ GL(63a,49)
25	G ≤ GL(63b,49)

Programs for G = 3.L₃(4):

• maxes (7 out of 9):

  1	3 × 24:A5
  2	3 × 24:A5
  3	3.A6
  6	3 × L3(2)
  7	3 × L3(2)
  8	3 × L3(2)
  9	31+2+:Q8

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