GAP Package AtlasRep

AtlasRep Info for Fi22

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Representations for G = Fi22: (all refer to std. generators 1)
1 G ≤ Sym(3510) rank 3, on cosets of 2.U6(2) (1st max.)
3 G ≤ Sym(14080b) rank 3, on cosets of O7(3) (3rd max.)
4 G ≤ Sym(61776) rank 4, on cosets of O8+(2):S3 (4th max.)
6 G ≤ Sym(142155) rank 8, on cosets of 210:M22 (5th max.)
8 G ≤ Sym(694980) rank 10, on cosets of 26:S6(2) (6th max.)
10 G ≤ GL(78,2) character 78a
11 G ≤ GL(350,2) character 350a
12 G ≤ GL(572,2) character 572a
13 G ≤ GL(77,3) character 77a
14 G ≤ GL(351,3) character 351a
15 G ≤ GL(924,3) character 924a
16 G ≤ GL(78,5) character 78a
17 G ≤ GL(428,5) character 428a
18 G ≤ GL(78,7) character 78a
19 G ≤ GL(429,7) character 429a
20 G ≤ GL(78,11) character 78a
21 G ≤ GL(429,11) character 429a
22 G ≤ GL(78,13) character 78a
23 G ≤ GL(429,13) character 429a
24 G ≤ GL(78,ℤ) character 78a
Programs for G = Fi22: (all refer to std. generators 1)

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