About this representation
| Group
| J3
|
| Group generators
| Standard generators
|
| Number of points
| 20520
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 22
|
| Suborbit lengths
| 1, 1022, 153, 272, 3063, 6123, 8163, 12244, 24484
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 20520
|
|
| 2A
| 120
| 210200
|
| 3A
| 0
| 36840
|
| 3B
| 27
| 36831
|
| 4A
| 12
| 254, 45100
|
| 5A
| 0
| 54104
|
| 5B
| 0
| 54104
|
| 6A
| 0
| 340, 63400
|
| 8A
| 2
| 25, 427, 82550
|
| 9A
| 3
| 38, 92277
|
| 9B
| 3
| 38, 92277
|
| 9C
| 3
| 38, 92277
|
| 10A
| 0
| 524, 102040
|
| 10B
| 0
| 524, 102040
|
| 12A
| 0
| 34, 618, 121700
|
| 15A
| 0
| 151368
|
| 15B
| 0
| 151368
|
| 17A
| 1
| 171207
|
| 17B
| 1
| 171207
|
| 19A
| 0
| 191080
|
| 19B
| 0
| 191080
|
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
|