About this representation
| Group
| HS:2
|
| Group generators
| Standard generators
|
| Number of points
| 352
|
| Primitivity information
| Transitive but imprimitive
|
| Transitivity degree
| 1
|
| Rank
| 4
|
| Suborbit lengths
| 1, 50, 126, 175
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 352
|
|
| 2A
| 32
| 2160
|
| 2B
| 24
| 2164
|
| 3A
| 10
| 3114
|
| 4A
| 32
| 480
|
| 4B
| 0
| 216, 480
|
| 4C
| 8
| 212, 480
|
| 5A
| 2
| 570
|
| 5B
| 12
| 568
|
| 5C
| 2
| 570
|
| 6A
| 6
| 22, 36, 654
|
| 6B
| 2
| 24, 310, 652
|
| 7A
| 2
| 750
|
| 8A
| 0
| 48, 840
|
| 8B
| 4
| 22, 46, 840
|
| 10A
| 2
| 56, 1032
|
| 10B
| 4
| 24, 54, 1032
|
| 11A
| 0
| 1132
|
| 12A
| 2
| 310, 42, 1226
|
| 15A
| 0
| 34, 52, 1522
|
| 20A
| 2
| 56, 2016
|
| 2C
| 0
| 2176
|
| 2D
| 0
| 2176
|
| 4D
| 0
| 216, 480
|
| 4E
| 0
| 216, 480
|
| 4F
| 0
| 212, 482
|
| 6C
| 0
| 25, 657
|
| 6D
| 0
| 25, 657
|
| 6E
| 0
| 25, 657
|
| 8C
| 0
| 48, 840
|
| 8D
| 0
| 48, 840
|
| 10C
| 0
| 26, 1034
|
| 10D
| 0
| 2, 1035
|
| 12B
| 0
| 2, 42, 65, 1226
|
| 14A
| 0
| 2, 1425
|
| 20B
| 0
| 22, 42, 102, 2016
|
| 20C
| 0
| 2, 103, 2016
|
| 20D
| 0
| 2, 103, 2016
|
| 30A
| 0
| 62, 10, 3011
|
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 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
|