GAP Package AtlasRep

AtlasRep Info for U3(7)

-> ATLAS page for U3(7)
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Representations for G = U3(7): (all refer to std. generators 1)
1 G ≤ Sym(344) 2-trans., on cosets of 71+2:48 (1st max.)
2 G ≤ Sym(688) rank 4, on cosets of 71+2:24 < 71+2:48
3 G ≤ Sym(1032) rank 6, on cosets of 71+2:16 < 71+2:48
4 G ≤ Sym(1376) rank 8, on cosets of 71+2:12 < 71+2:48
5 G ≤ Sym(2064) rank 12, on cosets of 71+2:8 < 71+2:48
6 G ≤ Sym(2107) rank 8, on cosets of 2(L2(7) × 4).2 (2nd max.)
7 G ≤ Sym(14749) rank 60, on cosets of 82:S3 (3rd max.)
8 G ≤ Sym(16856) rank 114, on cosets of L2(7):2 (4th max.)
9 G ≤ Sym(43904) rank 362, on cosets of 43:3 (5th max.)
10 G ≤ GL(42,2)  
11 G ≤ GL(258,2)  
12 G ≤ GL(344,2)  
13 G ≤ GL(42,3)  
14 G ≤ GL(43a,3)  
15 G ≤ GL(6c,7)  
16 G ≤ GL(8,7)  
17 G ≤ GL(12,7)  
18 G ≤ GL(20,7)  
19 G ≤ GL(27,7)  
20 G ≤ GL(30a,7)  
21 G ≤ GL(30b,7)  
22 G ≤ GL(37,7)  
23 G ≤ GL(42c,7)  
24 G ≤ GL(48,7)  
25 G ≤ GL(42,43)  
26 G ≤ GL(43a,43)  
27 G ≤ GL(43a,ℤ)  
Programs for G = U3(7): (all refer to std. generators 1)

File created automatically by GAP on 22-Jun-2011.