GAP Package AtlasRep

AtlasRep Info for L2(11)

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Representations for G = L2(11): (all refer to std. generators 1)
1 G ≤ Sym(11a) 2-trans., on cosets of A5 (1st max.)
2 G ≤ Sym(11b) 2-trans., on cosets of A5 (2nd max.)
3 G ≤ Sym(12) 2-trans., on cosets of 11:5 (3rd max.)
4 G ≤ Sym(55) rank 9, on cosets of S3 × 2 (4th max.)
5 G ≤ GL(10,2) character 10a
6 G ≤ GL(10b,2) character 5ab
7 G ≤ GL(24,2) character 12ab
8 G ≤ GL(5a,3) character 5a
9 G ≤ GL(5b,3) character 5b
10 G ≤ GL(10,3) character 10a
11 G ≤ GL(24,3) character 12ab
12 G ≤ GL(5a,4) character 5a
13 G ≤ GL(5b,4) character 5b
14 G ≤ GL(12a,4) character 12a
15 G ≤ GL(12b,4) character 12b
16 G ≤ GL(5a,5) character 5a
17 G ≤ GL(5b,5) character 5b
18 G ≤ GL(10a,5) character 10a
19 G ≤ GL(10b,5) character 10b
20 G ≤ GL(11,5) character 11a
21 G ≤ GL(12a,9) character 12a
22 G ≤ GL(12b,9) character 12b
23 G ≤ GL(3,11) character 3a
24 G ≤ GL(5,11) character 5a
25 G ≤ GL(7,11) character 7a
26 G ≤ GL(9,11) character 9a
27 G ≤ GL(11,11) character 11a
28 G ≤ GL(10a,ℤ) character 10a
29 G ≤ GL(10b,ℤ) character 10b
30 G ≤ GL(10c,ℤ) character 5ab
31 G ≤ GL(11,ℤ) character 11a
32 G ≤ GL(5a,Field([Sqrt(-11)])) character 5a
33 G ≤ GL(5b,Field([Sqrt(-11)])) character 5b
34 G ≤ GL(12a,Field([E(5)])) character 12a
35 G ≤ GL(12b,Field([E(5)])) character 12b
Programs for G = L2(11): (all refer to std. generators 1)

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