GAP Package AtlasRep

AtlasRep Info for L2(19)

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Representations for G = L2(19): (all refer to std. generators 1)
1 G ≤ Sym(20) 2-trans., on cosets of 19:9 (1st max.)
2 G ≤ Sym(57a) rank 4, on cosets of A5 (2nd max.)
3 G ≤ Sym(57b) rank 4, on cosets of A5 (3rd max.)
4 G ≤ Sym(171) rank 15, on cosets of D20 (4th max.)
5 G ≤ Sym(190) rank 16, on cosets of D18 (5th max.)
6 G ≤ GL(20a,2) character 20a
7 G ≤ GL(19,3) character 19a
8 G ≤ GL(9a,4) character 9a
9 G ≤ GL(9b,4) character 9b
10 G ≤ GL(18a,4) character 18a
11 G ≤ GL(18b,4) character 18b
12 G ≤ GL(9a,5) character 9a
13 G ≤ GL(9b,5) character 9b
14 G ≤ GL(18,5) character 18a
15 G ≤ GL(20a,5) character 20a
16 G ≤ GL(20b,8) character 20b
17 G ≤ GL(20c,8) character 20c
18 G ≤ GL(20d,8) character 20d
19 G ≤ GL(9a,9) character 9a
20 G ≤ GL(9b,9) character 9b
21 G ≤ GL(18a,9) character 18a
22 G ≤ GL(18b,9) character 18b
23 G ≤ GL(18c,9) character 18c
24 G ≤ GL(18d,9) character 18d
25 G ≤ GL(3,19) character 3a
26 G ≤ GL(5,19) character 5a
27 G ≤ GL(7,19) character 7a
28 G ≤ GL(9,19) character 9a
29 G ≤ GL(11,19) character 11a
30 G ≤ GL(13,19) character 13a
31 G ≤ GL(15,19) character 15a
32 G ≤ GL(17,19) character 17a
33 G ≤ GL(19,19) character 19a
34 G ≤ GL(20b,125) character 20b
35 G ≤ GL(20c,125) character 20c
36 G ≤ GL(20d,125) character 20d
37 G ≤ GL(18e,ℤ) character 9ab
38 G ≤ GL(19,ℤ) character 19a
39 G ≤ GL(20a,ℤ) character 20a
40 G ≤ GL(36a,ℤ) character 18ab
Programs for G = L2(19): (all refer to std. generators 1)

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