About this representation
| Group |
M23 |
| Group generators |
Standard generators |
| Number of
points |
253 |
|
Distinguishing letter |
a |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
3 |
| Suborbit
lengths |
1, 42, 210 |
|
Character |
1 + 22 + 230 |
| Point
stabiliser |
L3(4):22 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
253 |
|
| 2A |
29 |
2112 |
| 3A |
10 |
381 |
| 4A |
5 |
212, 456 |
| 5A |
3 |
550 |
| 6A |
2 |
24, 39,
636 |
| 7A |
1 |
736 |
| 7B |
1 |
736 |
| 8A |
1 |
22, 46,
828 |
| 11A |
0 |
1123 |
| 11B |
0 |
1123 |
| 14A |
1 |
74, 1416 |
| 14B |
1 |
74, 1416 |
| 15A |
0 |
3, 52, 1516 |
| 15B |
0 |
3, 52, 1516 |
| 23A |
0 |
2311 |
| 23B |
0 |
2311 |
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 |