About this representation
| Group |
O'N:2 |
| Group generators |
Standard generators |
| Number of
points |
245520 |
| Primitivity
information |
Transitive but imprimitive |
|
Transitivity degree |
1 |
| Rank |
9 |
| Suborbit
lengths |
1, 456, 5586, 6384, 11172, 32928,
52136, 58653, 78204 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
245520 |
|
| 2A |
720 |
2122400 |
| 3A |
90 |
381810 |
| 4A |
240 |
2240,
461200 |
| 4B |
16 |
2352,
461200 |
| 5A |
0 |
549104 |
| 6A |
18 |
236, 3234,
640788 |
| 7A |
30 |
735070 |
| 7B |
2 |
735074 |
| 8A |
4 |
26, 4176,
830600 |
| 10A |
0 |
5144,
1024480 |
| 11A |
0 |
1122320 |
| 12A |
6 |
26, 378,
418, 678, 1220394 |
| 14A |
6 |
212, 7102,
1417484 |
| 15A |
0 |
518,
1516362 |
| 15B |
0 |
518,
1516362 |
| 16A |
2 |
2, 43, 888,
1615300 |
| 16B |
2 |
2, 43, 888,
1615300 |
| 19A |
2 |
1912922 |
| 19B |
2 |
1912922 |
| 19C |
2 |
1912922 |
| 20A |
0 |
548, 1048,
2012240 |
| 28A |
2 |
22, 46,
734, 1434, 288742 |
| 28B |
2 |
22, 46,
734, 1434, 288742 |
| 31A |
0 |
317920 |
| 2B |
0 |
2122760 |
| 6B |
0 |
245, 640905 |
| 8B |
0 |
2120, 4120,
830600 |
| 8C |
0 |
2120, 4120,
830600 |
| 8D |
0 |
28, 4176,
830600 |
| 10B |
0 |
1024552 |
| 10C |
0 |
1024552 |
| 14B |
0 |
2, 1417537 |
| 22A |
0 |
2211160 |
| 24A |
0 |
23, 43,
639, 89, 1239,
2410197 |
| 24B |
0 |
23, 43,
639, 89, 1239,
2410197 |
| 30A |
0 |
109, 308181 |
| 30B |
0 |
109, 308181 |
| 38A |
0 |
2, 386461 |
| 38B |
0 |
2, 386461 |
| 38C |
0 |
2, 386461 |
| 56A |
0 |
2, 4, 83, 1417,
2817, 564371 |
| 56B |
0 |
2, 4, 83, 1417,
2817, 564371 |
| 56C |
0 |
2, 4, 83, 1417,
2817, 564371 |
| 56D |
0 |
2, 4, 83, 1417,
2817, 564371 |
Checks applied
| Check |
Description |
Date |
Checked by |
Result |
| 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 8, 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 |