About this representation
| Group
| HS
|
| Group generators
| Standard generators
|
| Number of points
| 3850
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 12
|
| Suborbit lengths
| 1, 15, 32, 90, 120, 160, 192, 2402, 360, 960, 1440
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 3850
|
|
| 2A
| 170
| 21840
|
| 2B
| 30
| 21910
|
| 3A
| 25
| 31275
|
| 4A
| 10
| 280, 4920
|
| 4B
| 26
| 272, 4920
|
| 4C
| 6
| 282, 4920
|
| 5A
| 0
| 5770
|
| 5B
| 0
| 5770
|
| 5C
| 5
| 5769
|
| 6A
| 3
| 211, 39, 6633
|
| 6B
| 5
| 210, 355, 6610
|
| 7A
| 0
| 7550
|
| 8A
| 2
| 212, 436, 8460
|
| 8B
| 0
| 23, 441, 8460
|
| 8C
| 0
| 23, 441, 8460
|
| 10A
| 0
| 534, 10368
|
| 10B
| 0
| 56, 10382
|
| 11A
| 0
| 11350
|
| 11B
| 0
| 11350
|
| 12A
| 1
| 22, 33, 45, 626, 12305
|
| 15A
| 0
| 55, 15255
|
| 20A
| 0
| 52, 1016, 20184
|
| 20B
| 0
| 52, 1016, 20184
|
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
|