About this representation
| Group |
J2 |
| Group generators |
Standard generators |
| Number of
points |
525 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
6 |
| Suborbit
lengths |
1, 12, 32, 96, 1922 |
|
Character |
1 + 36 + 63 + 90 + 160 + 175 |
| Point
stabiliser |
22+4:(3 ×
S3) |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
525 |
|
| 2A |
45 |
2240 |
| 2B |
5 |
2260 |
| 3A |
30 |
3165 |
| 3B |
6 |
3173 |
| 4A |
5 |
220, 4120 |
| 5A |
0 |
5105 |
| 5B |
0 |
5105 |
| 5C |
0 |
5105 |
| 5D |
0 |
5105 |
| 6A |
6 |
212, 313,
676 |
| 6B |
2 |
22, 3, 686 |
| 7A |
0 |
775 |
| 8A |
1 |
22, 410,
860 |
| 10A |
0 |
5, 1052 |
| 10B |
0 |
5, 1052 |
| 10C |
0 |
59, 1048 |
| 10D |
0 |
59, 1048 |
| 12A |
2 |
22, 3, 46,
66, 1238 |
| 15A |
0 |
56, 1533 |
| 15B |
0 |
56, 1533 |
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 |