About this representation
| Group |
M24 |
| Group generators |
Standard generators |
| Number of
points |
276 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
3 |
| Suborbit
lengths |
1, 44, 231 |
|
Character |
1 + 23 + 252 |
| Point
stabiliser |
M22:2 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
276 |
|
| 2A |
36 |
2120 |
| 2B |
12 |
2132 |
| 3A |
15 |
387 |
| 3B |
0 |
392 |
| 4A |
4 |
216, 460 |
| 4B |
8 |
214, 460 |
| 4C |
0 |
26, 466 |
| 5A |
6 |
554 |
| 6A |
3 |
26, 311,
638 |
| 6B |
0 |
34, 644 |
| 7A |
3 |
739 |
| 7B |
3 |
739 |
| 8A |
2 |
23, 47,
830 |
| 10A |
2 |
22, 52,
1026 |
| 11A |
1 |
1125 |
| 12A |
1 |
2, 3, 43, 65,
1219 |
| 12B |
0 |
62, 1222 |
| 14A |
1 |
2, 75, 1417 |
| 14B |
1 |
2, 75, 1417 |
| 15A |
0 |
32, 53,
1517 |
| 15B |
0 |
32, 53,
1517 |
| 21A |
0 |
3, 2113 |
| 21B |
0 |
3, 2113 |
| 23A |
0 |
2312 |
| 23B |
0 |
2312 |
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 |