About this representation
| Group |
J3:2 |
| Group generators |
Standard generators |
| Number of
points |
6156 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
7 |
| Suborbit
lengths |
1, 85, 120, 510, 680, 2040, 2720 |
| 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 |
| 6A |
4 |
216, 324,
61008 |
| 8A |
0 |
26, 416,
8760 |
| 9A |
0 |
9684 |
| 9B |
0 |
9684 |
| 9C |
0 |
9684 |
| 10A |
1 |
515, 10608 |
| 12A |
0 |
22, 34,
48, 610, 12504 |
| 15A |
1 |
57, 15408 |
| 17A |
2 |
17362 |
| 17B |
2 |
17362 |
| 19A |
0 |
19324 |
| 2B |
0 |
23078 |
| 4B |
8 |
234, 41520 |
| 6B |
0 |
61026 |
| 8B |
0 |
26, 416,
8760 |
| 8C |
8 |
22, 416,
8760 |
| 12B |
2 |
2, 32, 48,
611, 12504 |
| 18A |
0 |
18342 |
| 18B |
0 |
18342 |
| 18C |
0 |
18342 |
| 24A |
0 |
4, 62, 84,
125, 24252 |
| 24B |
0 |
4, 62, 84,
125, 24252 |
| 34A |
0 |
2, 34181 |
| 34B |
0 |
2, 34181 |
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 |