About this representation
Group
| J1
|
Group generators
| Standard generators
|
Number of points
| 1540
|
Primitivity information
| Primitive
|
Transitivity degree
| 1
|
Rank
| 21
|
Suborbit lengths
| 1, 19, 384, 576, 1149
|
Point stabiliser
| 19:6
|
Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
Conjugacy class |
Fixed points |
Cycle type |
1A
| 1540
|
|
2A
| 20
| 2760
|
3A
| 10
| 3510
|
5A
| 0
| 5308
|
5B
| 0
| 5308
|
6A
| 2
| 24, 36, 6252
|
7A
| 0
| 7220
|
10A
| 0
| 54, 10152
|
10B
| 0
| 54, 10152
|
11A
| 0
| 11140
|
15A
| 0
| 52, 15102
|
15B
| 0
| 52, 15102
|
19A
| 1
| 1981
|
19B
| 1
| 1981
|
19C
| 1
| 1981
|
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
|