About this representation

Group M11
Group generators Standard generators
Number of points 12
Primitivity information Primitive
Transitivity degree 3
Rank 2
Suborbit lengths 1, 11
Character 1 + 11
Point stabiliser L2(11)
Notes This is a 3-transitive action.
Contributed by Not recorded


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 12
2A 4 24
3A 3 33
4A 0 22, 42
5A 2 52
6A 1 2, 3, 6
8A 0 4, 8
8B 0 4, 8
11A 1 11
11B 1 11

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