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AtlasRep Info for L₃(3)

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

1	G ≤ Sym(13a)	2-trans., on cosets of 32:2S4 (1st max.)
2	G ≤ Sym(13b)	2-trans., on cosets of 32:2S4 (2nd max.)
3	G ≤ Sym(144)	rank 8, on cosets of 13:3 (3rd max.)
4	G ≤ Sym(234)	rank 18, on cosets of S4 (4th max.)
5	G ≤ GL(12,2)
6	G ≤ GL(26,2)
7	G ≤ GL(3a,3)
8	G ≤ GL(3b,3)
9	G ≤ GL(6a,3)
10	G ≤ GL(6b,3)
11	G ≤ GL(7,3)
12	G ≤ GL(15a,3)
13	G ≤ GL(15b,3)
14	G ≤ GL(27,3)
15	G ≤ GL(11,13)
16	G ≤ GL(13,13)
17	G ≤ GL(16,13)
18	G ≤ GL(26a,13)
19	G ≤ GL(39,13)
20	G ≤ GL(16a,16)
21	G ≤ GL(26b,169)
22	G ≤ GL(26c,169)
23	G ≤ GL(12,ℤ)
24	G ≤ GL(13,ℤ)
25	G ≤ GL(26a,ℤ)
26	G ≤ GL(27,ℤ)
27	G ≤ GL(39,ℤ)
28	G ≤ GL(52,ℤ)
29	G ≤ GL(64,ℤ)
30	G ≤ GL(26b,Field([Sqrt(-2)]))
31	G ≤ GL(26c,Field([Sqrt(-2)]))

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

• std. gen. checker:

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