GAP Package AtlasRep

AtlasRep Info for A8

→ ATLAS page for A8
→ Overview of Groups
Representations for G = A8: (all refer to std. generators 1)
1 G ≤ Sym(8) 6-trans., on cosets of A7 (1st max.)
2 G ≤ Sym(15a) 2-trans., on cosets of 23:L3(2) (2nd max.)
3 G ≤ Sym(15b) 2-trans., on cosets of 23:L3(2) (3rd max.)
4 G ≤ GL(4a,2)  
5 G ≤ GL(4b,2)  
6 G ≤ GL(6,2)  
7 G ≤ GL(14,2)  
8 G ≤ GL(20a,2)  
9 G ≤ GL(20b,2)  
10 G ≤ GL(64,2)  
11 G ≤ GL(7,ℤ)  
12 G ≤ GL(14,ℤ)  
13 G ≤ GL(20,ℤ)  
14 G ≤ GL(21a,ℤ)  
15 G ≤ GL(28,ℤ)  
16 G ≤ GL(35,ℤ)  
17 G ≤ GL(42,ℤ)  
18 G ≤ GL(56,ℤ)  
19 G ≤ GL(64,ℤ)  
20 G ≤ GL(70,ℤ)  
21 G ≤ GL(90,ℤ)  
Programs for G = A8: (all refer to std. generators 1)

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