About this representation
| Group
| He:2
|
| Group generators
| Standard generators
|
| Number of points
| 8330
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 6
|
| Suborbit lengths
| 1, 105, 720, 1344, 1680, 4480
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 8330
|
|
| 2A
| 346
| 23992
|
| 2B
| 42
| 24144
|
| 3A
| 77
| 32751
|
| 3B
| 8
| 32774
|
| 4A
| 22
| 2162, 41996
|
| 4B
| 18
| 212, 42072
|
| 4C
| 2
| 220, 42072
|
| 5A
| 5
| 51665
|
| 6A
| 13
| 232, 3111, 61320
|
| 6B
| 0
| 24, 314, 61380
|
| 7A
| 7
| 71189
|
| 7B
| 0
| 71190
|
| 7C
| 0
| 71190
|
| 8A
| 2
| 410, 81036
|
| 10A
| 1
| 22, 569, 10798
|
| 12A
| 1
| 26, 37, 416, 652, 12660
|
| 12B
| 0
| 36, 42, 64, 12690
|
| 14A
| 3
| 22, 749, 14570
|
| 14B
| 0
| 76, 14592
|
| 15A
| 2
| 3, 515, 15550
|
| 17A
| 0
| 17490
|
| 21A
| 0
| 711, 21393
|
| 21B
| 0
| 711, 21393
|
| 21C
| 1
| 32, 7, 21396
|
| 28A
| 1
| 2, 4, 73, 1423, 28285
|
| 2C
| 98
| 24116
|
| 4D
| 6
| 2170, 41996
|
| 6C
| 35
| 221, 321, 61365
|
| 6D
| 11
| 233, 329, 61361
|
| 6E
| 2
| 23, 332, 61371
|
| 8B
| 6
| 26, 46, 81036
|
| 8C
| 6
| 26, 46, 81036
|
| 8D
| 2
| 28, 46, 81036
|
| 10B
| 3
| 2, 519, 10823
|
| 12C
| 3
| 25, 3, 416, 655, 12660
|
| 14C
| 0
| 714, 14588
|
| 16A
| 0
| 2, 85, 16518
|
| 16B
| 0
| 2, 85, 16518
|
| 20A
| 1
| 4, 5, 1034, 20399
|
| 24A
| 0
| 32, 62, 8, 122, 24345
|
| 24B
| 0
| 32, 62, 8, 122, 24345
|
| 30A
| 0
| 2, 3, 57, 104, 154, 30273
|
| 42A
| 0
| 75, 143, 213, 42195
|
| 42B
| 0
| 75, 143, 213, 42195
|
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 18, 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
|