About this representation
| Group
| Co2
|
| Group generators
| Standard generators
|
| Number of points
| 2300
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 3
|
| Suborbit lengths
| 1, 891, 1408
|
| Character
| 1 + 275 + 2024
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 2300
|
|
| 2A
| 284
| 21008
|
| 2B
| 140
| 21080
|
| 2C
| 52
| 21124
|
| 3A
| 5
| 3765
|
| 3B
| 41
| 3753
|
| 4A
| 28
| 2128, 4504
|
| 4B
| 40
| 250, 4540
|
| 4C
| 32
| 254, 4540
|
| 4D
| 4
| 2140, 4504
|
| 4E
| 16
| 262, 4540
|
| 4F
| 12
| 264, 4540
|
| 4G
| 0
| 226, 4562
|
| 5A
| 0
| 5460
|
| 5B
| 10
| 5458
|
| 6A
| 5
| 345, 6360
|
| 6B
| 5
| 393, 6336
|
| 6C
| 11
| 215, 391, 6331
|
| 6D
| 17
| 212, 389, 6332
|
| 6E
| 5
| 218, 345, 6354
|
| 6F
| 7
| 217, 315, 6369
|
| 7A
| 4
| 7328
|
| 8A
| 4
| 212, 464, 8252
|
| 8B
| 10
| 211, 427, 8270
|
| 8C
| 4
| 470, 8252
|
| 8D
| 0
| 22, 470, 8252
|
| 8E
| 6
| 213, 427, 8270
|
| 8F
| 2
| 27, 431, 8270
|
| 9A
| 2
| 3, 9255
|
| 10A
| 0
| 528, 10216
|
| 10B
| 4
| 23, 556, 10201
|
| 10C
| 2
| 24, 510, 10224
|
| 11A
| 1
| 11209
|
| 12A
| 1
| 22, 39, 642, 12168
|
| 12B
| 5
| 39, 618, 12180
|
| 12C
| 1
| 28, 39, 46, 640, 12166
|
| 12D
| 5
| 39, 49, 618, 12177
|
| 12E
| 1
| 22, 3, 646, 12168
|
| 12F
| 1
| 22, 313, 49, 616, 12177
|
| 12G
| 1
| 22, 35, 620, 12180
|
| 12H
| 3
| 2, 33, 49, 621, 12177
|
| 14A
| 4
| 740, 14144
|
| 14B
| 0
| 22, 720, 14154
|
| 14C
| 0
| 22, 720, 14154
|
| 15A
| 1
| 33, 58, 15150
|
| 15B
| 0
| 5, 15153
|
| 15C
| 0
| 5, 15153
|
| 16A
| 0
| 4, 835, 16126
|
| 16B
| 2
| 2, 835, 16126
|
| 18A
| 2
| 3, 931, 18112
|
| 20A
| 0
| 58, 1010, 20108
|
| 20B
| 0
| 2, 42, 105, 20112
|
| 23A
| 0
| 23100
|
| 23B
| 0
| 23100
|
| 24A
| 1
| 3, 44, 64, 83, 1220, 2483
|
| 24B
| 1
| 22, 33, 63, 129, 2490
|
| 28A
| 0
| 22, 74, 1418, 2872
|
| 30A
| 1
| 3, 52, 6, 103, 1518, 3066
|
| 30B
| 0
| 5, 159, 3072
|
| 30C
| 0
| 5, 159, 3072
|
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
|