About this representation
| Group |
J2 |
| Group generators |
Standard generators |
| Number of
points |
840 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
7 |
| Suborbit
lengths |
1, 15, 20, 24, 180, 240, 360 |
|
Character |
1 + 63 + 90 + 126 + 160 + 175 +
225 |
| Point
stabiliser |
A4 × A5 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
840 |
|
| 2A |
40 |
2400 |
| 2B |
16 |
2412 |
| 3A |
12 |
3276 |
| 3B |
9 |
3277 |
| 4A |
0 |
220, 4200 |
| 5A |
5 |
5167 |
| 5B |
5 |
5167 |
| 5C |
0 |
5168 |
| 5D |
0 |
5168 |
| 6A |
4 |
24, 312,
6132 |
| 6B |
1 |
24, 35,
6136 |
| 7A |
0 |
7120 |
| 8A |
0 |
410, 8100 |
| 10A |
1 |
22, 53,
1082 |
| 10B |
1 |
22, 53,
1082 |
| 10C |
0 |
58, 1080 |
| 10D |
0 |
58, 1080 |
| 12A |
0 |
22, 42,
66, 1266 |
| 15A |
2 |
3, 52, 1555 |
| 15B |
2 |
3, 52, 1555 |
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 |