About this representation
| Group |
J2 |
| Group generators |
Standard generators |
| Number of
points |
1008 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
11 |
| Suborbit
lengths |
1, 12, 25, 50, 602,
1002, 1502, 300 |
|
Character |
1 + 14ab + 2.90 + 126 + 160 + 225 +
288 |
| Point
stabiliser |
A5 × D10 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
1008 |
|
| 2A |
16 |
2496 |
| 2B |
36 |
2486 |
| 3A |
36 |
3324 |
| 3B |
0 |
3336 |
| 4A |
0 |
28, 4248 |
| 5A |
13 |
5199 |
| 5B |
13 |
5199 |
| 5C |
3 |
5201 |
| 5D |
3 |
5201 |
| 6A |
4 |
216, 34,
6160 |
| 6B |
0 |
312, 6162 |
| 7A |
0 |
7144 |
| 8A |
0 |
44, 8124 |
| 10A |
1 |
26, 57,
1096 |
| 10B |
1 |
26, 57,
1096 |
| 10C |
1 |
2, 53, 1099 |
| 10D |
1 |
2, 53, 1099 |
| 12A |
0 |
22, 48,
62, 1280 |
| 15A |
1 |
34, 57,
1564 |
| 15B |
1 |
34, 57,
1564 |
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 |