About this representation
| Group |
McL:2 |
| Group generators |
Standard generators |
| Number of
points |
4050 |
| Primitivity
information |
Transitive but imprimitive |
|
Transitivity degree |
1 |
| Rank |
8 |
| Suborbit
lengths |
1, 22, 176, 330, 462, 672, 1155,
1232 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
4050 |
|
| 2A |
210 |
21920 |
| 3A |
0 |
31350 |
| 3B |
54 |
31332 |
| 4A |
18 |
296, 4960 |
| 5A |
0 |
5810 |
| 5B |
10 |
5808 |
| 6A |
0 |
370, 6640 |
| 6B |
6 |
224, 368,
6632 |
| 7A |
4 |
7578 |
| 8A |
2 |
28, 448,
8480 |
| 9A |
0 |
9450 |
| 10A |
0 |
542, 10384 |
| 11A |
2 |
11368 |
| 11B |
2 |
11368 |
| 12A |
0 |
36, 632,
12320 |
| 14A |
0 |
22, 730,
14274 |
| 15A |
0 |
15270 |
| 30A |
0 |
1514, 30128 |
| 2B |
0 |
22025 |
| 4B |
0 |
2105, 4960 |
| 6C |
0 |
227, 6666 |
| 8B |
0 |
29, 448,
8480 |
| 8C |
0 |
29, 448,
8480 |
| 10B |
0 |
25, 10404 |
| 12B |
0 |
635, 12320 |
| 12C |
0 |
23, 412,
634, 12316 |
| 20A |
0 |
1021, 20192 |
| 20B |
0 |
1021, 20192 |
| 22A |
0 |
2, 22184 |
| 22B |
0 |
2, 22184 |
| 24A |
0 |
63, 1216,
24160 |
| 24B |
0 |
63, 1216,
24160 |
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 |