GAP Package AtlasRep

AtlasRep Info for S4(4)

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Representations for G = S4(4): (all refer to std. generators 1)
1 G ≤ Sym(85a) rank 3, on cosets of 26:(3 × A5) (1st max.)
2 G ≤ Sym(120b) rank 3, on cosets of L2(16):2 (4th max.)
3 G ≤ GL(18,3)  
4 G ≤ GL(4c,4)  
5 G ≤ GL(18,5)  
6 G ≤ GL(33b,5)  
7 G ≤ GL(18,17)  
8 G ≤ GL(18,ℤ)  
9 G ≤ GL(34a,ℤ)  
10 G ≤ GL(34b,ℤ)  
11 G ≤ GL(50,ℤ)  
12 G ≤ GL(50a,ℤ)  
13 G ≤ GL(85,ℤ)  
14 G ≤ GL(85a,ℤ)  
15 G ≤ GL(85b,ℤ)  
16 G ≤ GL(102,ℤ)  
17 G ≤ GL(102a,ℤ)  
18 G ≤ GL(102b,ℤ)  
19 G ≤ GL(153,ℤ)  
20 G ≤ GL(408a,ℤ)  
21 G ≤ GL(408b,ℤ)  
22 G ≤ GL(900,ℤ)  
23 G ≤ GL(51a,Field([Sqrt(5)]))  
24 G ≤ GL(51b,Field([Sqrt(5)]))  
25 G ≤ GL(204a,Field([Sqrt(5)]))  
26 G ≤ GL(204b,Field([Sqrt(5)]))  
Programs for G = S4(4): (all refer to std. generators 1)

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