About this representation
| Group
| O'N:2
|
| Group generators
| Standard generators
|
| Number of points
| 245520
|
| Primitivity information
| Transitive but imprimitive
|
| Transitivity degree
| 1
|
| Rank
| 9
|
| Suborbit lengths
| 1, 456, 5586, 6384, 11172, 32928, 52136, 58653, 78204
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 245520
|
|
| 2A
| 720
| 2122400
|
| 3A
| 90
| 381810
|
| 4A
| 240
| 2240, 461200
|
| 4B
| 16
| 2352, 461200
|
| 5A
| 0
| 549104
|
| 6A
| 18
| 236, 3234, 640788
|
| 7A
| 30
| 735070
|
| 7B
| 2
| 735074
|
| 8A
| 4
| 26, 4176, 830600
|
| 10A
| 0
| 5144, 1024480
|
| 11A
| 0
| 1122320
|
| 12A
| 6
| 26, 378, 418, 678, 1220394
|
| 14A
| 6
| 212, 7102, 1417484
|
| 15A
| 0
| 518, 1516362
|
| 15B
| 0
| 518, 1516362
|
| 16A
| 2
| 2, 43, 888, 1615300
|
| 16B
| 2
| 2, 43, 888, 1615300
|
| 19A
| 2
| 1912922
|
| 19B
| 2
| 1912922
|
| 19C
| 2
| 1912922
|
| 20A
| 0
| 548, 1048, 2012240
|
| 28A
| 2
| 22, 46, 734, 1434, 288742
|
| 28B
| 2
| 22, 46, 734, 1434, 288742
|
| 31A
| 0
| 317920
|
| 2B
| 0
| 2122760
|
| 6B
| 0
| 245, 640905
|
| 8B
| 0
| 2120, 4120, 830600
|
| 8C
| 0
| 2120, 4120, 830600
|
| 8D
| 0
| 28, 4176, 830600
|
| 10B
| 0
| 1024552
|
| 10C
| 0
| 1024552
|
| 14B
| 0
| 2, 1417537
|
| 22A
| 0
| 2211160
|
| 24A
| 0
| 23, 43, 639, 89, 1239, 2410197
|
| 24B
| 0
| 23, 43, 639, 89, 1239, 2410197
|
| 30A
| 0
| 109, 308181
|
| 30B
| 0
| 109, 308181
|
| 38A
| 0
| 2, 386461
|
| 38B
| 0
| 2, 386461
|
| 38C
| 0
| 2, 386461
|
| 56A
| 0
| 2, 4, 83, 1417, 2817, 564371
|
| 56B
| 0
| 2, 4, 83, 1417, 2817, 564371
|
| 56C
| 0
| 2, 4, 83, 1417, 2817, 564371
|
| 56D
| 0
| 2, 4, 83, 1417, 2817, 564371
|
Checks applied
| Check |
Description |
Date |
Checked by |
Result |
| 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 8, 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
|