About this representation
| Group
| McL
|
| Group generators
| Standard generators
|
| Number of points
| 113400
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 39
|
| Suborbit lengths
| 1, 165, 2202, 6603, 7922, 990, 19804, 26402, 396022, 7920
|
| Character
| 1 + 22 + 2.252 + 3.1750 + 2.3520 + 4500 + 2.5103 + 8250ab + 3.9625 + 9856ab + 10395ab
|
| Point stabiliser
| M11
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 113400
|
|
| 2A
| 840
| 256280
|
| 3A
| 0
| 337800
|
| 3B
| 54
| 337782
|
| 4A
| 12
| 2414, 428140
|
| 5A
| 0
| 522680
|
| 5B
| 5
| 522679
|
| 6A
| 0
| 3280, 618760
|
| 6B
| 6
| 224, 3278, 618752
|
| 7A
| 0
| 716200
|
| 7B
| 0
| 716200
|
| 8A
| 2
| 25, 4207, 814070
|
| 9A
| 0
| 912600
|
| 9B
| 0
| 912600
|
| 10A
| 0
| 5168, 1011256
|
| 11A
| 1
| 1110309
|
| 11B
| 1
| 1110309
|
| 12A
| 0
| 34, 6138, 129380
|
| 14A
| 0
| 7120, 148040
|
| 14B
| 0
| 7120, 148040
|
| 15A
| 0
| 157560
|
| 15B
| 0
| 157560
|
| 30A
| 0
| 1556, 303752
|
| 30B
| 0
| 1556, 303752
|
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
|