About this representation
Group
| J2
|
Group generators
| Standard generators
|
Number of points
| 1800
|
Primitivity information
| Primitive
|
Transitivity degree
| 1
|
Rank
| 18
|
Suborbit lengths
| 1, 142, 21, 28, 423, 843, 1686, 336
|
Character
| 1 + 36 + 2.63 + 90 + 2.126 + 160 + 175 + 288 + 2.336
|
Point stabiliser
| L3(2):2
|
Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
Conjugacy class |
Fixed points |
Cycle type |
1A
| 1800
|
|
2A
| 120
| 2840
|
2B
| 20
| 2890
|
3A
| 0
| 3600
|
3B
| 6
| 3598
|
4A
| 12
| 254, 4420
|
5A
| 0
| 5360
|
5B
| 0
| 5360
|
5C
| 0
| 5360
|
5D
| 0
| 5360
|
6A
| 0
| 340, 6280
|
6B
| 2
| 22, 36, 6296
|
7A
| 1
| 7257
|
8A
| 2
| 25, 427, 8210
|
10A
| 0
| 54, 10178
|
10B
| 0
| 54, 10178
|
10C
| 0
| 524, 10168
|
10D
| 0
| 524, 10168
|
12A
| 0
| 34, 618, 12140
|
15A
| 0
| 15120
|
15B
| 0
| 15120
|
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
|