About this representation
| Group
| McL
|
| Group generators
| Standard generators
|
| Number of points
| 299376
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 114
|
| Suborbit lengths
| 1, 125, 3752, 100012, 15005, 300093
|
| Point stabiliser
| 51+2:3:8
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 299376
|
|
| 2A
| 336
| 2149520
|
| 3A
| 486
| 399630
|
| 3B
| 0
| 399792
|
| 4A
| 8
| 2164, 474760
|
| 5A
| 1
| 559875
|
| 5B
| 1
| 559875
|
| 6A
| 6
| 2240, 3110, 649760
|
| 6B
| 0
| 3112, 649840
|
| 7A
| 0
| 742768
|
| 7B
| 0
| 742768
|
| 8A
| 4
| 22, 482, 837380
|
| 9A
| 0
| 3162, 933210
|
| 9B
| 0
| 3162, 933210
|
| 10A
| 1
| 567, 1029904
|
| 11A
| 0
| 1127216
|
| 11B
| 0
| 1127216
|
| 12A
| 2
| 22, 32, 4120, 654, 1224880
|
| 14A
| 0
| 748, 1421360
|
| 14B
| 0
| 748, 1421360
|
| 15A
| 1
| 597, 1519926
|
| 15B
| 1
| 597, 1519926
|
| 30A
| 1
| 5, 1048, 1522, 309952
|
| 30B
| 1
| 5, 1048, 1522, 309952
|
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 20, 2006
| permanalyse version 0.03
| Check did not complete
|
| 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
|