About this representation
| Group |
HS |
| Group generators |
Standard generators |
| Number of
points |
5600 |
|
Distinguishing letter |
a |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
9 |
| Suborbit
lengths |
1, 55, 132, 165, 495, 660, 792, 1320,
1980 |
| Point
stabiliser |
M11 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
5600 |
|
| 2A |
160 |
22720 |
| 2B |
0 |
22800 |
| 3A |
20 |
31860 |
| 4A |
0 |
280, 41360 |
| 4B |
0 |
280, 41360 |
| 4C |
8 |
276, 41360 |
| 5A |
0 |
51120 |
| 5B |
0 |
51120 |
| 5C |
5 |
51119 |
| 6A |
0 |
210, 6930 |
| 6B |
4 |
28, 352,
6904 |
| 7A |
0 |
7800 |
| 8A |
0 |
440, 8680 |
| 8B |
4 |
22, 438,
8680 |
| 8C |
0 |
24, 438,
8680 |
| 10A |
0 |
532, 10544 |
| 10B |
0 |
10560 |
| 11A |
1 |
11509 |
| 11B |
1 |
11509 |
| 12A |
0 |
22, 44,
626, 12452 |
| 15A |
0 |
54, 15372 |
| 20A |
0 |
1016, 20272 |
| 20B |
0 |
1016, 20272 |
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 |