About this representation
| Group
| Co2
|
| Group generators
| Standard generators
|
| Number of points
| 4600
|
| Primitivity information
| Transitive but imprimitive
|
| Transitivity degree
| 1
|
| Rank
| 5
|
| Suborbit lengths
| 12, 8912, 2816
|
| Character
| (1 + 275 + 2024) + (23 + 2277)
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 4600
|
|
| 2A
| 56
| 22272
|
| 2B
| 280
| 22160
|
| 2C
| 40
| 22280
|
| 3A
| 10
| 31530
|
| 3B
| 82
| 31506
|
| 4A
| 56
| 41136
|
| 4B
| 0
| 2140, 41080
|
| 4C
| 48
| 2116, 41080
|
| 4D
| 8
| 224, 41136
|
| 4E
| 32
| 2124, 41080
|
| 4F
| 8
| 2136, 41080
|
| 4G
| 0
| 220, 41140
|
| 5A
| 0
| 5920
|
| 5B
| 20
| 5916
|
| 6A
| 10
| 390, 6720
|
| 6B
| 2
| 24, 318, 6756
|
| 6C
| 20
| 231, 312, 6747
|
| 6D
| 2
| 240, 318, 6744
|
| 6E
| 10
| 236, 390, 6708
|
| 6F
| 4
| 239, 312, 6747
|
| 7A
| 8
| 7656
|
| 8A
| 0
| 228, 8568
|
| 8B
| 0
| 224, 458, 8540
|
| 8C
| 8
| 412, 8568
|
| 8D
| 0
| 24, 412, 8568
|
| 8E
| 8
| 220, 458, 8540
|
| 8F
| 4
| 214, 462, 8540
|
| 9A
| 4
| 32, 9510
|
| 10A
| 0
| 556, 10432
|
| 10B
| 6
| 27, 510, 10453
|
| 10C
| 0
| 210, 58, 10454
|
| 11A
| 2
| 11418
|
| 12A
| 2
| 318, 42, 12378
|
| 12B
| 6
| 22, 314, 638, 12360
|
| 12C
| 2
| 318, 420, 12372
|
| 12D
| 0
| 25, 316, 418, 637, 12354
|
| 12E
| 2
| 32, 42, 68, 12378
|
| 12F
| 0
| 25, 418, 645, 12354
|
| 12G
| 2
| 24, 310, 640, 12360
|
| 12H
| 2
| 24, 32, 418, 644, 12354
|
| 14A
| 0
| 24, 78, 14324
|
| 14B
| 0
| 24, 740, 14308
|
| 14C
| 0
| 24, 740, 14308
|
| 15A
| 2
| 36, 516, 15300
|
| 15B
| 0
| 52, 15306
|
| 15C
| 0
| 52, 15306
|
| 16A
| 0
| 42, 86, 16284
|
| 16B
| 0
| 24, 86, 16284
|
| 18A
| 2
| 2, 6, 96, 18252
|
| 20A
| 0
| 1028, 20216
|
| 20B
| 0
| 45, 104, 20227
|
| 23A
| 0
| 23200
|
| 23B
| 0
| 23200
|
| 24A
| 0
| 2, 69, 810, 24186
|
| 24B
| 0
| 23, 4, 67, 1219, 24180
|
| 28A
| 0
| 42, 78, 28162
|
| 30A
| 0
| 2, 32, 54, 62, 106, 152, 30149
|
| 30B
| 0
| 52, 1518, 30144
|
| 30C
| 0
| 52, 1518, 30144
|
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 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
|