About this representation
| Group
| HS:2
|
| Group generators
| Standard generators
|
| Number of points
| 100
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 3
|
| Suborbit lengths
| 1, 22, 77
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 100
|
|
| 2A
| 20
| 240
|
| 2B
| 0
| 250
|
| 3A
| 10
| 330
|
| 4A
| 0
| 210, 420
|
| 4B
| 8
| 26, 420
|
| 4C
| 4
| 28, 420
|
| 5A
| 0
| 520
|
| 5B
| 0
| 520
|
| 5C
| 5
| 519
|
| 6A
| 0
| 25, 615
|
| 6B
| 2
| 24, 36, 612
|
| 7A
| 2
| 714
|
| 8A
| 2
| 23, 43, 810
|
| 8B
| 0
| 22, 44, 810
|
| 10A
| 0
| 54, 108
|
| 10B
| 0
| 1010
|
| 11A
| 1
| 119
|
| 12A
| 0
| 2, 42, 63, 126
|
| 15A
| 0
| 52, 156
|
| 20A
| 0
| 102, 204
|
| 2C
| 30
| 235
|
| 2D
| 6
| 247
|
| 4D
| 10
| 25, 420
|
| 4E
| 2
| 29, 420
|
| 4F
| 0
| 425
|
| 6C
| 0
| 25, 310, 610
|
| 6D
| 6
| 22, 38, 611
|
| 6E
| 0
| 25, 32, 614
|
| 8C
| 4
| 22, 43, 810
|
| 8D
| 0
| 24, 43, 810
|
| 10C
| 0
| 56, 107
|
| 10D
| 1
| 22, 5, 109
|
| 12B
| 2
| 42, 63, 126
|
| 14A
| 2
| 74, 145
|
| 20B
| 0
| 205
|
| 20C
| 0
| 52, 10, 204
|
| 20D
| 0
| 52, 10, 204
|
| 30A
| 0
| 10, 152, 302
|
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
|