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AtlasRep Info for 2.L₃(4)

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Representations for G = 2.L₃(4): (all refer to std. generators 1)

1	G ≤ Sym(112a)	rank 6, on cosets of A6 < 2 × A6
2	G ≤ Sym(112b)	rank 5, on cosets of A6 < 2 × A6
3	G ≤ Sym(112c)	rank 5, on cosets of A6 < 2 × A6
4	G ≤ Sym(240a)	rank 8, on cosets of L2(7) < 2 × L2(7)
5	G ≤ Sym(240b)	rank 7, on cosets of L2(7) < 2 × L2(7)
6	G ≤ Sym(240c)	rank 7, on cosets of L2(7) < 2 × L2(7)
7	G ≤ GL(6,3)
8	G ≤ GL(20,3)
9	G ≤ GL(36,3)
10	G ≤ GL(44,3)
11	G ≤ GL(90,3)
12	G ≤ GL(20,5)
13	G ≤ GL(28,5)
14	G ≤ GL(36,5)
15	G ≤ GL(70,5)
16	G ≤ GL(90,5)
17	G ≤ GL(10,7)
18	G ≤ GL(26,7)
19	G ≤ GL(56,7)
20	G ≤ GL(64,7)
21	G ≤ GL(70,7)
22	G ≤ GL(10a,9)
23	G ≤ GL(10b,9)
24	G ≤ GL(22a,9)
25	G ≤ GL(22b,9)
26	G ≤ GL(10a,25)
27	G ≤ GL(10b,25)
28	G ≤ GL(28a,49)
29	G ≤ GL(28b,49)

Programs for G = 2.L₃(4):

• maxes (7 out of 9):

  1	25:A5
  2	25:A5
  3	2 × A6
  6	2 × L3(2)
  7	2 × L3(2)
  8	2 × L3(2)
  9	Isoclinic(2 × 32:Q8)

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