GAP Package AtlasRep

AtlasRep Info for L3(5)

→ ATLAS page for L3(5)
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Representations for G = L3(5): (all refer to std. generators 1)
1 G ≤ Sym(31a) 2-trans., on cosets of 52:GL2(5) (1st max.)
2 G ≤ Sym(31b) 2-trans., on cosets of 52:GL2(5) (2nd max.)
3 G ≤ GL(3a,5)  
4 G ≤ GL(3b,5)  
5 G ≤ GL(8,5)  
6 G ≤ GL(30,ℤ)  
7 G ≤ GL(31a,ℤ)  
8 G ≤ GL(124a,ℤ)  
9 G ≤ GL(124b,ℤ)  
10 G ≤ GL(125,ℤ)  
11 G ≤ GL(155a,ℤ)  
12 G ≤ GL(186,ℤ)  
13 G ≤ GL(31b,Field([Sqrt(-1)]))  
14 G ≤ GL(31c,Field([Sqrt(-1)]))  
15 G ≤ GL(124c,Field([Sqrt(-1)]))  
16 G ≤ GL(124d,Field([Sqrt(-1)]))  
17 G ≤ GL(124e,Field([Sqrt(-1)]))  
18 G ≤ GL(124f,Field([Sqrt(-1)]))  
19 G ≤ GL(124g,Field([E(24)]))  
20 G ≤ GL(124h,Field([E(24)]))  
21 G ≤ GL(124i,Field([E(24)]))  
22 G ≤ GL(124j,Field([E(24)]))  
23 G ≤ GL(155b,Field([Sqrt(-1)]))  
24 G ≤ GL(155c,Field([Sqrt(-1)]))  
Programs for G = L3(5):

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