GAP Package AtlasRep

AtlasRep Info for L5(2)

→ ATLAS page for L5(2)
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Representations for G = L5(2): (all refer to std. generators 1)
1 G ≤ Sym(31a) 2-trans., on cosets of 24:L4(2) (1st max.)
2 G ≤ Sym(155a) rank 3, on cosets of 26:(S3 × L3(2)) (3rd max.)
3 G ≤ GL(5a,2) character 5a
4 G ≤ GL(5b,2) character 5b
5 G ≤ GL(10a,2) character 10a
6 G ≤ GL(10b,2) character 10b
7 G ≤ GL(24,2) character 24a
8 G ≤ GL(30,3) character 30a
9 G ≤ GL(124,3) character 124a
10 G ≤ GL(155,3) character 155a
11 G ≤ GL(30,5) character 30a
12 G ≤ GL(123,5) character 123a
13 G ≤ GL(155,5) character 155a
14 G ≤ GL(280,5) character 280a
15 G ≤ GL(30,7) character 30a
16 G ≤ GL(94,7) character 94a
17 G ≤ GL(280,7) character 280a
18 G ≤ GL(29,31) character 29a
19 G ≤ GL(251,31) character 251a
20 G ≤ GL(30,ℤ) character 30a
21 G ≤ GL(124,ℤ) character 124a
22 G ≤ GL(155,ℤ) character 155a
23 G ≤ GL(217,ℤ) character 217a
Programs for G = L5(2): (all refer to std. generators 1)

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