About this representation

Group McL
Group generators Standard generators
Number of points 22275
Distinguishing letter c
Description Cosets of 24:A7
Primitivity information Primitive
Transitivity degree 1
Rank 13
Suborbit lengths 1, 112, 140, 210, 420, 672, 16802, 2240, 33603, 5040
Character 1 + 22 + 2.252 + 2.1750 + 3520 + 5103 + 9625
Point stabiliser 24:A7
Contributed by Not recorded

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This representation is available in the following formats:

MeatAxe a b
MeatAxe binary a b
GAP a b
GAP a, b
Magma a, b

On conjugacy classes

Conjugacy class Fixed points Cycle type
1A 22275
2A 435 210920
3A 0 37425
3B 54 37407
4A 15 2210, 45460
5A 0 54455
5B 5 54454
6A 0 3145, 63640
6B 6 224, 3143, 63632
7A 1 73182
7B 1 73182
8A 1 27, 4105, 82730
9A 0 92475
9B 0 92475
10A 0 587, 102184
11A 0 112025
11B 0 112025
12A 0 35, 670, 121820
14A 1 762, 141560
14B 1 762, 141560
15A 0 151485
15B 0 151485
30A 0 1529, 30728
30B 0 1529, 30728

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