About this representation
| Group
| M24
|
| Group generators
| Standard generators
|
| Number of points
| 276
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 3
|
| Suborbit lengths
| 1, 44, 231
|
| Character
| 1 + 23 + 252
|
| Point stabiliser
| M22:2
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 276
|
|
| 2A
| 36
| 2120
|
| 2B
| 12
| 2132
|
| 3A
| 15
| 387
|
| 3B
| 0
| 392
|
| 4A
| 4
| 216, 460
|
| 4B
| 8
| 214, 460
|
| 4C
| 0
| 26, 466
|
| 5A
| 6
| 554
|
| 6A
| 3
| 26, 311, 638
|
| 6B
| 0
| 34, 644
|
| 7A
| 3
| 739
|
| 7B
| 3
| 739
|
| 8A
| 2
| 23, 47, 830
|
| 10A
| 2
| 22, 52, 1026
|
| 11A
| 1
| 1125
|
| 12A
| 1
| 2, 3, 43, 65, 1219
|
| 12B
| 0
| 62, 1222
|
| 14A
| 1
| 2, 75, 1417
|
| 14B
| 1
| 2, 75, 1417
|
| 15A
| 0
| 32, 53, 1517
|
| 15B
| 0
| 32, 53, 1517
|
| 21A
| 0
| 3, 2113
|
| 21B
| 0
| 3, 2113
|
| 23A
| 0
| 2312
|
| 23B
| 0
| 2312
|
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
|