GAP Package AtlasRep

AtlasRep Info for L3(3).2

→ ATLAS page for L3(3).2
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Representations for G = L3(3).2: (all refer to std. generators 1)
1 G ≤ Sym(26) rank 4, on cosets of 32:2S4 < L3(3)
2 G ≤ Sym(52) rank 4, on cosets of 31+2+:D8 (2nd max.)
3 G ≤ Sym(117) rank 6, on cosets of 2S4:2 (3rd max.)
4 G ≤ Sym(144) rank 6, on cosets of 13:6 (4th max.)
5 G ≤ Sym(234) rank 12, on cosets of S4 × 2 (5th max.)
6 G ≤ GL(12,2)  
7 G ≤ GL(26,2)  
8 G ≤ GL(6,3)  
9 G ≤ GL(7a,3)  
10 G ≤ GL(12,3)  
11 G ≤ GL(27a,3)  
12 G ≤ GL(30,3)  
13 G ≤ GL(32a,4)  
14 G ≤ GL(32b,4)  
15 G ≤ GL(11a1,13)  
16 G ≤ GL(13a1,13)  
17 G ≤ GL(16a1,13)  
18 G ≤ GL(26a1,13)  
19 G ≤ GL(39a1,13)  
20 G ≤ GL(52,13)  

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