About this representation

Group McL
Group generators Standard generators
Number of points 15400
Distinguishing letter b
Description Cosets of 34M10
Primitivity information Primitive
Transitivity degree 1
Rank 10
Suborbit lengths 1, 30, 60, 162, 810, 16203, 3645, 5832
Character 1 + 22 + 2.252 + 1750 + 3520 + 4500 + 5103
Point stabiliser 34:M10
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 15400
2A 280 27560
3A 10 35130
3B 37 35121
4A 20 2130, 43780
5A 0 53080
5B 5 53079
6A 10 390, 62520
6B 1 218, 393, 62514
7A 0 72200
7B 0 72200
8A 2 29, 465, 81890
9A 1 33, 91710
9B 1 33, 91710
10A 0 556, 101512
11A 0 111400
11B 0 111400
12A 2 24, 36, 642, 121260
14A 0 740, 141080
14B 0 740, 141080
15A 0 52, 151026
15B 0 52, 151026
30A 0 52, 1518, 30504
30B 0 52, 1518, 30504

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