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AtlasRep Info for O₇(3)

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Representations for G = O₇(3): (all refer to std. generators 1)

1	G ≤ Sym(351)	rank 3, on cosets of 2.U4(3).22 (1st max.)
2	G ≤ Sym(364)	rank 3, on cosets of 35:U4(2):2 (2nd max.)
3	G ≤ Sym(378)	rank 3, on cosets of L4(3).22 (3rd max.)
4	G ≤ Sym(1080a)	rank 3, on cosets of G2(3) (4th max.)
5	G ≤ Sym(1080b)	rank 3, on cosets of G2(3) (5th max.)
6	G ≤ Sym(1120)	rank 4, on cosets of 33+3:L3(3) (6th max.)
7	G ≤ Sym(3640)	rank 5, on cosets of 31+6+:(2A4 × A4).2 (9th max.)
8	G ≤ GL(78,2)
9	G ≤ GL(90,2)
10	G ≤ GL(104,2)
11	G ≤ GL(260a,2)
12	G ≤ GL(260b,2)
13	G ≤ GL(7,3)
14	G ≤ GL(21,3)
15	G ≤ GL(27,3)
16	G ≤ GL(35,3)
17	G ≤ GL(63,3)
18	G ≤ GL(189a,3)
19	G ≤ GL(309,3)
20	G ≤ GL(78,5)
21	G ≤ GL(78,7)
22	G ≤ GL(78,13)
23	G ≤ GL(78,ℤ)
24	G ≤ GL(91,ℤ)
25	G ≤ GL(105,ℤ)
26	G ≤ GL(168,ℤ)
27	G ≤ GL(182,ℤ)
28	G ≤ GL(195,ℤ)

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