GAP Package AtlasRep

AtlasRep Info for U3(4)

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Representations for G = U3(4): (all refer to std. generators 1)
1 G ≤ Sym(65) 2-trans., on cosets of 22+4:15 (1st max.)
2 G ≤ Sym(208) rank 5, on cosets of 5 × A5 (2nd max.)
3 G ≤ Sym(416) rank 9, on cosets of 52:S3 (3rd max.)
4 G ≤ Sym(1600) rank 48, on cosets of 13:3 (4th max.)
5 G ≤ GL(12,2)  
6 G ≤ GL(16,2)  
7 G ≤ GL(36,2)  
8 G ≤ GL(64,2)  
9 G ≤ GL(96,2)  
10 G ≤ GL(12,3)  
11 G ≤ GL(52e,3)  
12 G ≤ GL(64,3)  
13 G ≤ GL(75a,3)  
14 G ≤ GL(75b,3)  
15 G ≤ GL(75c,3)  
16 G ≤ GL(75d,3)  
17 G ≤ GL(78,3)  
18 G ≤ GL(208,3)  
19 G ≤ GL(6a,4)  
20 G ≤ GL(6b,4)  
21 G ≤ GL(8a,4)  
22 G ≤ GL(8b,4)  
23 G ≤ GL(18a,4)  
24 G ≤ GL(18b,4)  
25 G ≤ GL(48a,4)  
26 G ≤ GL(48b,4)  
27 G ≤ GL(12,5)  
28 G ≤ GL(39,5)  
29 G ≤ GL(65,5)  
30 G ≤ GL(300,5)  
31 G ≤ GL(12,13)  
32 G ≤ GL(52e,13)  
33 G ≤ GL(63,13)  
34 G ≤ GL(65a,13)  
35 G ≤ GL(78,13)  
36 G ≤ GL(208,13)  
37 G ≤ GL(260,13)  
38 G ≤ GL(3a,16)  
39 G ≤ GL(3b,16)  
40 G ≤ GL(3c,16)  
41 G ≤ GL(3d,16)  
42 G ≤ GL(9a,16)  
43 G ≤ GL(9b,16)  
44 G ≤ GL(9c,16)  
45 G ≤ GL(9d,16)  
46 G ≤ GL(24a,16)  
47 G ≤ GL(24b,16)  
48 G ≤ GL(24c,16)  
49 G ≤ GL(24d,16)  
50 G ≤ GL(150a,25)  
51 G ≤ GL(150b,25)  
52 G ≤ GL(64,ℤ)  
53 G ≤ GL(65a,ℤ)  
54 G ≤ GL(260,ℤ)  
55 G ≤ GL(300,ℤ)  
56 G ≤ GL(12,Field([E(13)]))  
57 G ≤ GL(13a,Field([E(5)]))  
58 G ≤ GL(13b,Field([E(5)]))  
59 G ≤ GL(13c,Field([E(5)]))  
60 G ≤ GL(13d,Field([E(5)]))  
61 G ≤ GL(52a,Field([E(5)]))  
62 G ≤ GL(52b,Field([E(5)]))  
63 G ≤ GL(52c,Field([E(5)]))  
64 G ≤ GL(52d,Field([E(5)]))  
Programs for G = U3(4): (all refer to std. generators 1)

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