About this representation
| Group
| Co3
|
| Group generators
| Standard generators
|
| Number of points
| 128800
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 6
|
| Suborbit lengths
| 1, 495, 2673, 32076, 40095, 53460
|
| Character
| 1+275+5544+8855+23000+91125
|
| Point stabiliser
| 35:(2 × M11)
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 128800
|
|
| 2A
| 1120
| 263840
|
| 2B
| 232
| 264284
|
| 3A
| 10
| 342930
|
| 3B
| 91
| 342903
|
| 3C
| 28
| 342924
|
| 4A
| 160
| 2480, 431920
|
| 4B
| 32
| 2544, 431920
|
| 5A
| 0
| 525760
|
| 5B
| 10
| 525758
|
| 6A
| 10
| 3370, 621280
|
| 6B
| 4
| 23, 3372, 621279
|
| 6C
| 7
| 242, 3371, 621266
|
| 6D
| 7
| 242, 375, 621414
|
| 6E
| 4
| 212, 376, 621424
|
| 7A
| 0
| 718400
|
| 8A
| 0
| 216, 4272, 815960
|
| 8B
| 8
| 212, 4272, 815960
|
| 8C
| 4
| 214, 4272, 815960
|
| 9A
| 1
| 33, 914310
|
| 9B
| 1
| 33, 914310
|
| 10A
| 0
| 5224, 1012768
|
| 10B
| 2
| 24, 546, 1012856
|
| 11A
| 1
| 1111709
|
| 11B
| 1
| 1111709
|
| 12A
| 4
| 23, 352, 6159, 1210640
|
| 12B
| 2
| 24, 310, 6180, 1210640
|
| 12C
| 1
| 23, 353, 421, 6159, 1210633
|
| 14A
| 0
| 7160, 149120
|
| 15A
| 0
| 52, 158586
|
| 15B
| 1
| 33, 518, 158580
|
| 18A
| 1
| 3, 6, 9124, 187093
|
| 20A
| 0
| 532, 1096, 206384
|
| 20B
| 0
| 532, 1096, 206384
|
| 21A
| 0
| 74, 216132
|
| 22A
| 1
| 1121, 225844
|
| 22B
| 1
| 1121, 225844
|
| 23A
| 0
| 235600
|
| 23B
| 0
| 235600
|
| 24A
| 0
| 2, 42, 65, 1290, 245320
|
| 24B
| 2
| 32, 42, 64, 1290, 245320
|
| 30A
| 0
| 52, 1574, 304256
|
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 5, 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
|