About this representation
| Group |
McL |
| Group generators |
Standard generators |
| Number of
points |
299376 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
114 |
| Suborbit
lengths |
1, 125, 3752,
100012, 15005, 300093 |
| Point
stabiliser |
51+2:3:8 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
299376 |
|
| 2A |
336 |
2149520 |
| 3A |
486 |
399630 |
| 3B |
0 |
399792 |
| 4A |
8 |
2164,
474760 |
| 5A |
1 |
559875 |
| 5B |
1 |
559875 |
| 6A |
6 |
2240, 3110,
649760 |
| 6B |
0 |
3112,
649840 |
| 7A |
0 |
742768 |
| 7B |
0 |
742768 |
| 8A |
4 |
22, 482,
837380 |
| 9A |
0 |
3162,
933210 |
| 9B |
0 |
3162,
933210 |
| 10A |
1 |
567,
1029904 |
| 11A |
0 |
1127216 |
| 11B |
0 |
1127216 |
| 12A |
2 |
22, 32,
4120, 654, 1224880 |
| 14A |
0 |
748,
1421360 |
| 14B |
0 |
748,
1421360 |
| 15A |
1 |
597,
1519926 |
| 15B |
1 |
597,
1519926 |
| 30A |
1 |
5, 1048, 1522,
309952 |
| 30B |
1 |
5, 1048, 1522,
309952 |
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 20, 2006 |
permanalyse version 0.03 |
Check did not
complete |
| 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 |