About this representation
| Group |
J3 |
| Group generators |
Standard generators |
| Number of
points |
17442 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
19 |
| Suborbit
lengths |
1, 5, 20, 80, 96, 120, 320,
4802, 9606, 1440,
28803 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
17442 |
|
| 2A |
50 |
28696 |
| 3A |
72 |
35790 |
| 3B |
27 |
35805 |
| 4A |
6 |
222, 44348 |
| 5A |
2 |
53488 |
| 5B |
2 |
53488 |
| 6A |
8 |
232, 314,
62888 |
| 8A |
0 |
23, 411,
82174 |
| 9A |
0 |
39, 91935 |
| 9B |
0 |
39, 91935 |
| 9C |
0 |
39, 91935 |
| 10A |
0 |
2, 510,
101739 |
| 10B |
0 |
2, 510,
101739 |
| 12A |
0 |
24, 32,
416, 66, 121444 |
| 15A |
2 |
514, 151158 |
| 15B |
2 |
514, 151158 |
| 17A |
0 |
171026 |
| 17B |
0 |
171026 |
| 19A |
0 |
19918 |
| 19B |
0 |
19918 |
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 |