About this representation
| Group
| Ru
|
| Group generators
| Standard generators
|
| Number of points
| 4060
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 3
|
| Suborbit lengths
| 1, 1755, 2304
|
| Character
| 1+783+3276
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 4060
|
|
| 2A
| 92
| 21984
|
| 2B
| 0
| 22030
|
| 3A
| 10
| 31350
|
| 4A
| 32
| 230, 4992
|
| 4B
| 20
| 236, 4992
|
| 4C
| 4
| 244, 4992
|
| 4D
| 8
| 242, 4992
|
| 5A
| 10
| 5810
|
| 5B
| 0
| 5812
|
| 6A
| 2
| 24, 330, 6660
|
| 7A
| 0
| 7580
|
| 8A
| 6
| 213, 415, 8496
|
| 8B
| 4
| 422, 8496
|
| 8C
| 2
| 23, 421, 8496
|
| 10A
| 2
| 24, 518, 10396
|
| 10B
| 0
| 10406
|
| 12A
| 2
| 310, 42, 610, 12330
|
| 12B
| 2
| 36, 42, 612, 12330
|
| 13A
| 4
| 13312
|
| 14A
| 0
| 14290
|
| 14B
| 0
| 14290
|
| 14C
| 0
| 14290
|
| 15A
| 0
| 52, 15270
|
| 16A
| 2
| 2, 811, 16248
|
| 16B
| 2
| 2, 811, 16248
|
| 20A
| 2
| 42, 56, 106, 20198
|
| 20B
| 0
| 2, 42, 54, 107, 20198
|
| 20C
| 0
| 2, 42, 54, 107, 20198
|
| 24A
| 0
| 2, 32, 64, 8, 125, 24165
|
| 24B
| 0
| 2, 32, 64, 8, 125, 24165
|
| 26A
| 0
| 22, 26156
|
| 26B
| 0
| 22, 26156
|
| 26C
| 0
| 22, 26156
|
| 29A
| 0
| 29140
|
| 29B
| 0
| 29140
|
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 4, 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
|