About this representation
| Group |
McL |
| Group generators |
Standard generators |
| Number of
points |
22275 |
|
Distinguishing letter |
b |
|
Description |
Cosets of 2A8 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
6 |
| Suborbit
lengths |
1, 210, 2240, 5040, 6720, 8064 |
|
Character |
1 + 252 + 1750 + 5103 + 5544 +
9625 |
| Point
stabiliser |
2.A8 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
22275 |
|
| 2A |
211 |
211032 |
| 3A |
81 |
37398 |
| 3B |
27 |
37416 |
| 4A |
7 |
2102, 45516 |
| 5A |
25 |
54450 |
| 5B |
0 |
54455 |
| 6A |
1 |
240, 370,
63664 |
| 6B |
7 |
210, 368,
63674 |
| 7A |
1 |
73182 |
| 7B |
1 |
73182 |
| 8A |
1 |
23, 451,
82758 |
| 9A |
0 |
327, 92466 |
| 9B |
0 |
327, 92466 |
| 10A |
1 |
212, 542,
102204 |
| 11A |
0 |
112025 |
| 11B |
0 |
112025 |
| 12A |
1 |
32, 420,
634, 121832 |
| 14A |
1 |
730, 141576 |
| 14B |
1 |
730, 141576 |
| 15A |
1 |
38, 516,
151478 |
| 15B |
1 |
38, 516,
151478 |
| 30A |
1 |
64, 108,
1514, 30732 |
| 30B |
1 |
64, 108,
1514, 30732 |
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 |