About this representation
| Group
| J3
|
| Group generators
| Standard generators
|
| Number of points
| 6156
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 8
|
| Suborbit lengths
| 1, 85, 120, 510, 680, 13602, 2040
|
| Character
| 1 + 323ab + 324 + 1140 + 1215ab + 1615
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 6156
|
|
| 2A
| 76
| 23040
|
| 3A
| 36
| 32040
|
| 3B
| 0
| 32052
|
| 4A
| 12
| 232, 41520
|
| 5A
| 1
| 51231
|
| 5B
| 1
| 51231
|
| 6A
| 4
| 216, 324, 61008
|
| 8A
| 0
| 26, 416, 8760
|
| 9A
| 0
| 9684
|
| 9B
| 0
| 9684
|
| 9C
| 0
| 9684
|
| 10A
| 1
| 515, 10608
|
| 10B
| 1
| 515, 10608
|
| 12A
| 0
| 22, 34, 48, 610, 12504
|
| 15A
| 1
| 57, 15408
|
| 15B
| 1
| 57, 15408
|
| 17A
| 2
| 17362
|
| 17B
| 2
| 17362
|
| 19A
| 0
| 19324
|
| 19B
| 0
| 19324
|
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
|