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AtlasRep Info for U₆(2).2

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Representations for G = U₆(2).2: (all refer to std. generators 1)

1	G ≤ Sym(672)	rank 3, on cosets of U5(2).2 (2nd max.)
2	G ≤ Sym(693)	rank 3, on cosets of 21+8+:U4(2).2 (3rd max.)
3	G ≤ Sym(891)	rank 4, on cosets of 29.L3(4).2 (4th max.)
4	G ≤ Sym(1408)	rank 3, on cosets of U4(3).(22)122 (5th max.)
5	G ≤ Sym(6237)	rank 5, on cosets of 24+8.(S3 × S5) (6th max.)
6	G ≤ Sym(6336)	rank 4, on cosets of S6(2) × 2 (7th max.)
7	G ≤ Sym(20736)	rank 8, on cosets of M22.2 (8th max.)
8	G ≤ GL(20,2)
9	G ≤ GL(34,2)
10	G ≤ GL(140,2)
11	G ≤ GL(154,2)
12	G ≤ GL(400,2)
13	G ≤ GL(21a,3)
14	G ≤ GL(210a,3)
15	G ≤ GL(229a,3)
16	G ≤ GL(364a,3)
17	G ≤ GL(22a,5)
18	G ≤ GL(22a,7)
19	G ≤ GL(22a,11)

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