About this representation
| Group
| M12:2
|
| Group generators
| Standard generators
|
| Number of points
| 24
|
| Primitivity information
| Transitive but imprimitive
|
| Transitivity degree
| 1
|
| Rank
| 3
|
| Suborbit lengths
| 1, 11, 12
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 24
|
|
| 2A
| 0
| 212
|
| 2B
| 8
| 28
|
| 3A
| 6
| 36
|
| 3B
| 0
| 38
|
| 4A
| 4
| 22, 44
|
| 5A
| 4
| 54
|
| 6A
| 0
| 64
|
| 6B
| 2
| 22, 32, 62
|
| 8A
| 2
| 2, 4, 82
|
| 10A
| 0
| 22, 102
|
| 11A
| 2
| 112
|
| 2C
| 0
| 212
|
| 4B
| 0
| 24, 44
|
| 4C
| 0
| 46
|
| 6C
| 0
| 64
|
| 10B
| 0
| 22, 102
|
| 10C
| 0
| 22, 102
|
| 12A
| 0
| 122
|
| 12B
| 0
| 2, 4, 6, 12
|
| 12C
| 0
| 2, 4, 6, 12
|
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
|