About this representation

Group McL
Group generators Standard generators
Number of points 113400
Primitivity information Primitive
Transitivity degree 1
Rank 39
Suborbit lengths 1, 165, 2202, 6603, 7922, 990, 19804, 26402, 396022, 7920
Character 1 + 22 + 2.252 + 3.1750 + 2.3520 + 4500 + 2.5103 + 8250ab + 3.9625 + 9856ab + 10395ab
Point stabiliser M11
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 113400
2A 840 256280
3A 0 337800
3B 54 337782
4A 12 2414, 428140
5A 0 522680
5B 5 522679
6A 0 3280, 618760
6B 6 224, 3278, 618752
7A 0 716200
7B 0 716200
8A 2 25, 4207, 814070
9A 0 912600
9B 0 912600
10A 0 5168, 1011256
11A 1 1110309
11B 1 1110309
12A 0 34, 6138, 129380
14A 0 7120, 148040
14B 0 7120, 148040
15A 0 157560
15B 0 157560
30A 0 1556, 303752
30B 0 1556, 303752

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