About this representation
| Group |
M23 |
| Group generators |
Standard generators |
| Number of
points |
1771 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
8 |
| Suborbit
lengths |
1, 20, 60, 90, 160,
4803 |
|
Character |
1 + 22 + 2.230 + 253 + 1035 |
| Point
stabiliser |
24:(3 ×
A5):2 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
1771 |
|
| 2A |
91 |
2840 |
| 3A |
16 |
3585 |
| 4A |
7 |
242, 4420 |
| 5A |
1 |
5354 |
| 6A |
4 |
26, 329,
6278 |
| 7A |
0 |
7253 |
| 7B |
0 |
7253 |
| 8A |
1 |
23, 421,
8210 |
| 11A |
0 |
11161 |
| 11B |
0 |
11161 |
| 14A |
0 |
713, 14120 |
| 14B |
0 |
713, 14120 |
| 15A |
1 |
53, 15117 |
| 15B |
1 |
53, 15117 |
| 23A |
0 |
2377 |
| 23B |
0 |
2377 |
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 |