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AtlasRep Info for L₃(3).2

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Representations for G = L₃(3).2: (all refer to std. generators 1)

1	G ≤ Sym(26)	rank 4, on cosets of 32:2S4 < L3(3)
2	G ≤ Sym(52)	rank 4, on cosets of 31+2+:D8 (2nd max.)
3	G ≤ Sym(117)	rank 6, on cosets of 2S4:2 (3rd max.)
4	G ≤ Sym(144)	rank 6, on cosets of 13:6 (4th max.)
5	G ≤ Sym(234)	rank 12, on cosets of S4 × 2 (5th max.)
6	G ≤ GL(12,2)
7	G ≤ GL(26,2)
8	G ≤ GL(6,3)
9	G ≤ GL(7a,3)
10	G ≤ GL(12,3)
11	G ≤ GL(27a,3)
12	G ≤ GL(30,3)
13	G ≤ GL(32a,4)
14	G ≤ GL(32b,4)
15	G ≤ GL(11a1,13)
16	G ≤ GL(13a1,13)
17	G ≤ GL(16a1,13)
18	G ≤ GL(26a1,13)
19	G ≤ GL(39a1,13)
20	G ≤ GL(52,13)

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