About this representation
| Group |
He |
| Group generators |
Standard generators |
| Number of
points |
8330 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
7 |
| Suborbit
lengths |
1, 105, 720, 8402, 1344,
4480 |
|
Character |
1 + 51ab + 680 + 1275a + 1920 +
4352 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
8330 |
|
| 2A |
346 |
23992 |
| 2B |
42 |
24144 |
| 3A |
77 |
32751 |
| 3B |
8 |
32774 |
| 4A |
22 |
2162, 41996 |
| 4B |
18 |
212, 42072 |
| 4C |
2 |
220, 42072 |
| 5A |
5 |
51665 |
| 6A |
13 |
232, 3111,
61320 |
| 6B |
0 |
24, 314,
61380 |
| 7A |
7 |
71189 |
| 7B |
7 |
71189 |
| 7C |
0 |
71190 |
| 7D |
0 |
71190 |
| 7E |
0 |
71190 |
| 8A |
2 |
410, 81036 |
| 10A |
1 |
22, 569,
10798 |
| 12A |
1 |
26, 37,
416, 652, 12660 |
| 12B |
0 |
36, 42,
64, 12690 |
| 14A |
3 |
22, 749,
14570 |
| 14B |
3 |
22, 749,
14570 |
| 14C |
0 |
76, 14592 |
| 14D |
0 |
76, 14592 |
| 15A |
2 |
3, 515,
15550 |
| 17A |
0 |
17490 |
| 17B |
0 |
17490 |
| 21A |
0 |
711, 21393 |
| 21B |
0 |
711, 21393 |
| 21C |
1 |
32, 7,
21396 |
| 21D |
1 |
32, 7,
21396 |
| 28A |
1 |
2, 4, 73, 1423,
28285 |
| 28B |
1 |
2, 4, 73, 1423,
28285 |
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 |