About this representation
| Group
| J3
|
| Group generators
| Standard generators
|
| Number of points
| 14688
|
| Distinguishing letter
| b
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 14
|
| Suborbit lengths
| 1, 285, 342, 380, 5702, 8552, 11402, 17103, 3420
|
| Character
| 1+85ab+1140aa+1215ab+1615+1920abc+2432
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 14688
|
|
| 2A
| 96
| 27296
|
| 3A
| 0
| 34896
|
| 3B
| 27
| 34887
|
| 4A
| 0
| 248, 43648
|
| 5A
| 3
| 52937
|
| 5B
| 3
| 52937
|
| 6A
| 0
| 332, 62432
|
| 8A
| 0
| 424, 81824
|
| 9A
| 3
| 38, 91629
|
| 9B
| 3
| 38, 91629
|
| 9C
| 3
| 38, 91629
|
| 10A
| 1
| 2, 519, 101459
|
| 10B
| 1
| 2, 519, 101459
|
| 12A
| 0
| 616, 121216
|
| 15A
| 0
| 3, 15979
|
| 15B
| 0
| 3, 15979
|
| 17A
| 0
| 17864
|
| 17B
| 0
| 17864
|
| 19A
| 1
| 19773
|
| 19B
| 1
| 19773
|
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
|