About this representation
| Group
| M23
|
| Group generators
| Standard generators
|
| Number of points
| 40320
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 164
|
| Suborbit lengths
| 1, 234, 253159
|
| Point stabiliser
| 23:11
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 40320
|
|
| 2A
| 0
| 220160
|
| 3A
| 0
| 313440
|
| 4A
| 0
| 410080
|
| 5A
| 0
| 58064
|
| 6A
| 0
| 66720
|
| 7A
| 0
| 75760
|
| 7B
| 0
| 75760
|
| 8A
| 0
| 85040
|
| 11A
| 5
| 113665
|
| 11B
| 5
| 113665
|
| 14A
| 0
| 142880
|
| 14B
| 0
| 142880
|
| 15A
| 0
| 152688
|
| 15B
| 0
| 152688
|
| 23A
| 1
| 231753
|
| 23B
| 1
| 231753
|
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
|