About this representation
| Group
| M23
|
| Group generators
| Standard generators
|
| Number of points
| 506
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 4
|
| Suborbit lengths
| 1, 15, 210, 280
|
| Character
| 1 + 22 + 230 + 253
|
| Point stabiliser
| A8
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 506
|
|
| 2A
| 42
| 2232
|
| 3A
| 11
| 3165
|
| 4A
| 6
| 218, 4116
|
| 5A
| 1
| 5101
|
| 6A
| 3
| 24, 313, 676
|
| 7A
| 2
| 772
|
| 7B
| 2
| 772
|
| 8A
| 0
| 23, 49, 858
|
| 11A
| 0
| 1146
|
| 11B
| 0
| 1146
|
| 14A
| 0
| 2, 76, 1433
|
| 14B
| 0
| 2, 76, 1433
|
| 15A
| 1
| 52, 1533
|
| 15B
| 1
| 52, 1533
|
| 23A
| 0
| 2322
|
| 23B
| 0
| 2322
|
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
|