About this representation
| Group |
McL |
| Group generators |
Standard generators |
| Number of
points |
113400 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
39 |
| Suborbit
lengths |
1, 165, 2202,
6603, 7922, 990, 19804,
26402, 396022, 7920 |
|
Character |
1 + 22 + 2.252 + 3.1750 + 2.3520 +
4500 + 2.5103 + 8250ab + 3.9625 + 9856ab + 10395ab |
| 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 |
113400 |
|
| 2A |
840 |
256280 |
| 3A |
0 |
337800 |
| 3B |
54 |
337782 |
| 4A |
12 |
2414,
428140 |
| 5A |
0 |
522680 |
| 5B |
5 |
522679 |
| 6A |
0 |
3280,
618760 |
| 6B |
6 |
224, 3278,
618752 |
| 7A |
0 |
716200 |
| 7B |
0 |
716200 |
| 8A |
2 |
25, 4207,
814070 |
| 9A |
0 |
912600 |
| 9B |
0 |
912600 |
| 10A |
0 |
5168,
1011256 |
| 11A |
1 |
1110309 |
| 11B |
1 |
1110309 |
| 12A |
0 |
34, 6138,
129380 |
| 14A |
0 |
7120,
148040 |
| 14B |
0 |
7120,
148040 |
| 15A |
0 |
157560 |
| 15B |
0 |
157560 |
| 30A |
0 |
1556,
303752 |
| 30B |
0 |
1556,
303752 |
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 |