About this representation

Group McL:2
Group generators Standard generators
Number of points 275
Primitivity information Primitive
Transitivity degree 1
Rank 3
Suborbit lengths 1, 112, 162
Character 1+22+252
Contributed by Not recorded

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This representation is available in the following formats:

MeatAxe c d
MeatAxe binary c d
GAP c d
GAP c, d
Magma c, d

On conjugacy classes

Conjugacy class Fixed points Cycle type
1A 275
2A 35 2120
3A 5 390
3B 14 387
4A 7 214, 460
5A 0 555
5B 5 554
6A 5 310, 640
6B 2 26, 311, 638
7A 2 739
8A 1 23, 47, 830
9A 2 3, 930
10A 0 57, 1024
11A 0 1125
11B 0 1125
12A 1 22, 32, 64, 1220
14A 0 2, 75, 1417
15A 0 5, 1518
30A 0 5, 152, 308
2B 11 2132
4B 15 210, 460
6C 2 26, 33, 642
8B 1 23, 47, 830
8C 5 2, 47, 830
10B 1 22, 52, 1026
12B 3 2, 34, 63, 1220
12C 0 2, 35, 43, 63, 1219
20A 0 53, 102, 2012
20B 0 53, 102, 2012
22A 0 11, 2212
22B 0 11, 2212
24A 1 4, 6, 122, 2410
24B 1 4, 6, 122, 2410

Checks applied

Check Description Date Checked by Result
Presentation Check against the relations in a presentation. If this test passes, then the group is of the correct isomorphism type, and the generators are those stated. Note that the presentation itself is not checked here. Aug 2, 2006 certify.pl version 0.05 Pass
Semi-presentation Check against a semi-presentation. If this fails, then the representation is not on standard generators, and may generate the wrong group. Note that the semi-presentation itself is not checked here. Jul 4, 2006 certify.pl version 0.05 Pass
Order Check that the elements generate a group of the correct order. Jul 18, 2006 permanalyse version 0.03 Pass
Number of points Check whether the permutation representation is acting on the stated number of points. Jul 4, 2006 certify.pl version 0.05 Pass
Files exist Check whether files exist (where stated). Jul 4, 2006 certify.pl version 0.05 Pass