About this representation
Group |
M23 |
Group generators |
Standard generators |
Number of
points |
1288 |
Primitivity
information |
Primitive |
Transitivity degree |
1 |
Rank |
4 |
Suborbit
lengths |
1, 165, 330, 792 |
Character |
1 + 22 + 230 + 1035 |
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 |
1288 |
|
2A |
56 |
2616 |
3A |
10 |
3426 |
4A |
4 |
226, 4308 |
5A |
3 |
5257 |
6A |
2 |
24, 318,
6204 |
7A |
0 |
7184 |
7B |
0 |
7184 |
8A |
2 |
2, 413,
8154 |
11A |
1 |
11117 |
11B |
1 |
11117 |
14A |
0 |
78, 1488 |
14B |
0 |
78, 1488 |
15A |
0 |
3, 52, 1585 |
15B |
0 |
3, 52, 1585 |
23A |
0 |
2356 |
23B |
0 |
2356 |
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 |