About this representation
| Group
| Co3
|
| Group generators
| Standard generators
|
| Number of points
| 11178
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 5
|
| Suborbit lengths
| 1, 352, 1100, 4125, 5600
|
| Character
| 1 + 23 + 275 + 2024 + 8855
|
| Point stabiliser
| HS
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 11178
|
|
| 2A
| 378
| 25400
|
| 2B
| 66
| 25556
|
| 3A
| 0
| 33726
|
| 3B
| 81
| 33699
|
| 3C
| 0
| 33726
|
| 4A
| 6
| 2186, 42700
|
| 4B
| 30
| 2174, 42700
|
| 5A
| 3
| 52235
|
| 5B
| 13
| 52233
|
| 6A
| 0
| 3126, 61800
|
| 6B
| 0
| 3126, 61800
|
| 6C
| 9
| 236, 3123, 61788
|
| 6D
| 3
| 239, 321, 61839
|
| 6E
| 0
| 322, 61852
|
| 7A
| 6
| 71596
|
| 8A
| 12
| 29, 487, 81350
|
| 8B
| 0
| 215, 487, 81350
|
| 8C
| 4
| 213, 487, 81350
|
| 9A
| 0
| 91242
|
| 9B
| 0
| 91242
|
| 10A
| 3
| 575, 101080
|
| 10B
| 1
| 26, 513, 101110
|
| 11A
| 2
| 111016
|
| 11B
| 2
| 111016
|
| 12A
| 0
| 32, 662, 12900
|
| 12B
| 0
| 310, 658, 12900
|
| 12C
| 3
| 23, 3, 418, 661, 12894
|
| 14A
| 0
| 23, 754, 14771
|
| 15A
| 0
| 3, 15745
|
| 15B
| 1
| 34, 516, 15739
|
| 18A
| 0
| 942, 18600
|
| 20A
| 1
| 2, 5, 1037, 20540
|
| 20B
| 1
| 2, 5, 1037, 20540
|
| 21A
| 0
| 32, 21532
|
| 22A
| 0
| 2, 116, 22505
|
| 22B
| 0
| 2, 116, 22505
|
| 23A
| 0
| 23486
|
| 23B
| 0
| 23486
|
| 24A
| 0
| 34, 63, 1229, 24450
|
| 24B
| 0
| 65, 1229, 24450
|
| 30A
| 0
| 3, 1525, 30360
|
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
|