About this representation
| Group |
J3 |
| Group generators |
Standard generators |
| Number of
points |
14688 |
|
Distinguishing letter |
b |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
14 |
| Suborbit
lengths |
1, 285, 342, 380, 5702,
8552, 11402, 17103,
3420 |
|
Character |
1+85ab+1140aa+1215ab+1615+1920abc+2432 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
14688 |
|
| 2A |
96 |
27296 |
| 3A |
0 |
34896 |
| 3B |
27 |
34887 |
| 4A |
0 |
248, 43648 |
| 5A |
3 |
52937 |
| 5B |
3 |
52937 |
| 6A |
0 |
332, 62432 |
| 8A |
0 |
424, 81824 |
| 9A |
3 |
38, 91629 |
| 9B |
3 |
38, 91629 |
| 9C |
3 |
38, 91629 |
| 10A |
1 |
2, 519,
101459 |
| 10B |
1 |
2, 519,
101459 |
| 12A |
0 |
616, 121216 |
| 15A |
0 |
3, 15979 |
| 15B |
0 |
3, 15979 |
| 17A |
0 |
17864 |
| 17B |
0 |
17864 |
| 19A |
1 |
19773 |
| 19B |
1 |
19773 |
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 |