About this representation
| Group
| Co3
|
| Group generators
| Standard generators
|
| Number of points
| 37950
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 8
|
| Suborbit lengths
| 1, 224, 324, 1680, 45362, 8505, 18144
|
| Character
| 1 + 2.275 + 5544 + 8855 + 23000
|
| Point stabiliser
| U4(3).(22)133
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 37950
|
|
| 2A
| 750
| 218600
|
| 2B
| 198
| 218876
|
| 3A
| 15
| 312645
|
| 3B
| 105
| 312615
|
| 3C
| 0
| 312650
|
| 4A
| 130
| 2310, 49300
|
| 4B
| 42
| 2354, 49300
|
| 5A
| 0
| 57590
|
| 5B
| 15
| 57587
|
| 6A
| 15
| 3245, 66200
|
| 6B
| 3
| 26, 3249, 66198
|
| 6C
| 9
| 248, 3247, 66184
|
| 6D
| 9
| 248, 363, 66276
|
| 6E
| 0
| 366, 66292
|
| 7A
| 3
| 75421
|
| 8A
| 4
| 219, 4177, 84650
|
| 8B
| 16
| 213, 4177, 84650
|
| 8C
| 4
| 219, 4177, 84650
|
| 9A
| 0
| 35, 94215
|
| 9B
| 3
| 34, 94215
|
| 10A
| 0
| 5150, 103720
|
| 10B
| 3
| 26, 539, 103774
|
| 11A
| 0
| 113450
|
| 11B
| 0
| 113450
|
| 12A
| 7
| 24, 341, 6102, 123100
|
| 12B
| 3
| 26, 313, 6116, 123100
|
| 12C
| 1
| 24, 343, 424, 6102, 123092
|
| 14A
| 1
| 2, 7107, 142657
|
| 15A
| 0
| 53, 152529
|
| 15B
| 0
| 35, 521, 152522
|
| 18A
| 0
| 3, 62, 983, 182066
|
| 20A
| 0
| 526, 1062, 201860
|
| 20B
| 0
| 526, 1062, 201860
|
| 21A
| 0
| 3, 211807
|
| 22A
| 0
| 1118, 221716
|
| 22B
| 0
| 1118, 221716
|
| 23A
| 0
| 231650
|
| 23B
| 0
| 231650
|
| 24A
| 1
| 2, 3, 43, 66, 1258, 241550
|
| 24B
| 1
| 2, 35, 43, 64, 1258, 241550
|
| 30A
| 0
| 53, 1549, 301240
|
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
|