GAP Package AtlasRep

AtlasRep Info for L3(8).6

→ ATLAS page for L3(8).6
→ Overview of Groups
Representations for G = L3(8).6: (all refer to std. generators 1)
1 G ≤ Sym(438) rank 12, on cosets of 26:(7 × L2(8)) < L3(8)
2 G ≤ Sym(657) rank 4, on cosets of 23+6:72:6 (2nd max.)
3 G ≤ Sym(4672) rank 7, on cosets of (D14 × L2(8)):3 (3rd max.)
4 G ≤ Sym(56064) rank 47, on cosets of 72:(6 × S3) (4th max.)
5 G ≤ Sym(75264) rank 74, on cosets of 73:18 (5th max.)
6 G ≤ Sym(98112) rank 119, on cosets of L2(7).2 × 3 (6th max.)
7 G ≤ GL(18,2)  
8 G ≤ GL(24,2)  
9 G ≤ GL(54a,2)  
10 G ≤ GL(54b,2)  
11 G ≤ GL(144a,2)  
12 G ≤ GL(144b,2)  
13 G ≤ GL(162,2)  
14 G ≤ GL(192,2)  
15 G ≤ GL(432a,2)  
16 G ≤ GL(432b,2)  
17 G ≤ GL(512,2)  
18 G ≤ GL(1152,2)  
19 G ≤ GL(511,3)  
20 G ≤ GL(72,7)  
21 G ≤ GL(511,7)  
22 G ≤ GL(512,7)  
23 G ≤ GL(72,9)  
24 G ≤ GL(71,73)  
25 G ≤ GL(441,73)  
26 G ≤ GL(511a,73)  
Programs for G = L3(8).6: (all refer to std. generators 1)

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