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AtlasRep Info for U6(2)

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Representations for G = U6(2): (all refer to std. generators 1)
1 G ≤ Sym(672) rank 3, on cosets of U5(2) (1st max.)
2 G ≤ Sym(693) rank 3, on cosets of 21+8+:U4(2) (2nd max.)
3 G ≤ Sym(891) rank 4, on cosets of 29.L3(4) (3rd max.)
4 G ≤ Sym(1408a) rank 3, on cosets of U4(3).22 (4th max.)
5 G ≤ Sym(1408b) rank 3, on cosets of U4(3).22 (5th max.)
6 G ≤ Sym(1408c) rank 3, on cosets of U4(3).22 (6th max.)
7 G ≤ Sym(2816a) rank 5, on cosets of U4(3) < U4(3).22
8 G ≤ Sym(2816b) rank 5, on cosets of U4(3) < U4(3).22
9 G ≤ Sym(2816c) rank 5, on cosets of U4(3) < U4(3).22
10 G ≤ Sym(6237) rank 5, on cosets of 24+8:(S3 × A5) (7th max.)
11 G ≤ Sym(6336a) rank 4, on cosets of S6(2) (8th max.)
12 G ≤ Sym(6336b) rank 4, on cosets of S6(2) (9th max.)
13 G ≤ Sym(6336c) rank 4, on cosets of S6(2) (10th max.)
14 G ≤ Sym(12474) rank 8, on cosets of 24+8:(3 × A5) < 24+8:(S3 × A5)
15 G ≤ Sym(20736a) rank 8, on cosets of M22 (11th max.)
16 G ≤ Sym(20736b) rank 8, on cosets of M22 (12th max.)
17 G ≤ Sym(20736c) rank 8, on cosets of M22 (13th max.)
18 G ≤ Sym(59136) rank 15, on cosets of S3 × U4(2) (14th max.)
19 G ≤ GL(20,2)  
20 G ≤ GL(34,2)  
21 G ≤ GL(140,2)  
22 G ≤ GL(154,2)  
23 G ≤ GL(400,2)  
24 G ≤ GL(21,3)  
25 G ≤ GL(210,3)  
26 G ≤ GL(229,3)  
27 G ≤ GL(364,3)  
28 G ≤ GL(70a,4)  
29 G ≤ GL(70b,4)  
30 G ≤ GL(896a,4)  
31 G ≤ GL(22,5)  
32 G ≤ GL(231,5)  
33 G ≤ GL(252,5)  
34 G ≤ GL(440,5)  
35 G ≤ GL(616,5)  
36 G ≤ GL(22,7)  
37 G ≤ GL(231,7)  
38 G ≤ GL(252,7)  
39 G ≤ GL(439,7)  
40 G ≤ GL(616,7)  
41 G ≤ GL(22,11)  
42 G ≤ GL(231,11)  
43 G ≤ GL(251,11)  
44 G ≤ GL(440,11)  
45 G ≤ GL(616,11)  
46 G ≤ GL(22,ℤ)  
47 G ≤ GL(231,ℤ)  
Programs for G = U6(2): (all refer to std. generators 1)

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