About this representation
| Group |
J3 |
| Group generators |
Standard generators |
| Number of
points |
6156 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
8 |
| Suborbit
lengths |
1, 85, 120, 510, 680,
13602, 2040 |
|
Character |
1 + 323ab + 324 + 1140 + 1215ab +
1615 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
6156 |
|
| 2A |
76 |
23040 |
| 3A |
36 |
32040 |
| 3B |
0 |
32052 |
| 4A |
12 |
232, 41520 |
| 5A |
1 |
51231 |
| 5B |
1 |
51231 |
| 6A |
4 |
216, 324,
61008 |
| 8A |
0 |
26, 416,
8760 |
| 9A |
0 |
9684 |
| 9B |
0 |
9684 |
| 9C |
0 |
9684 |
| 10A |
1 |
515, 10608 |
| 10B |
1 |
515, 10608 |
| 12A |
0 |
22, 34,
48, 610, 12504 |
| 15A |
1 |
57, 15408 |
| 15B |
1 |
57, 15408 |
| 17A |
2 |
17362 |
| 17B |
2 |
17362 |
| 19A |
0 |
19324 |
| 19B |
0 |
19324 |
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 |