GAP Package AtlasRep

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.