About this representation
| Group |
McL |
| Group generators |
Standard generators |
| Number of
points |
15400 |
|
Distinguishing letter |
b |
|
Description |
Cosets of
34M10 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
10 |
| Suborbit
lengths |
1, 30, 60, 162, 810, 16203,
3645, 5832 |
|
Character |
1 + 22 + 2.252 + 1750 + 3520 + 4500 +
5103 |
| Point
stabiliser |
34:M10 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
15400 |
|
| 2A |
280 |
27560 |
| 3A |
10 |
35130 |
| 3B |
37 |
35121 |
| 4A |
20 |
2130, 43780 |
| 5A |
0 |
53080 |
| 5B |
5 |
53079 |
| 6A |
10 |
390, 62520 |
| 6B |
1 |
218, 393,
62514 |
| 7A |
0 |
72200 |
| 7B |
0 |
72200 |
| 8A |
2 |
29, 465,
81890 |
| 9A |
1 |
33, 91710 |
| 9B |
1 |
33, 91710 |
| 10A |
0 |
556, 101512 |
| 11A |
0 |
111400 |
| 11B |
0 |
111400 |
| 12A |
2 |
24, 36,
642, 121260 |
| 14A |
0 |
740, 141080 |
| 14B |
0 |
740, 141080 |
| 15A |
0 |
52, 151026 |
| 15B |
0 |
52, 151026 |
| 30A |
0 |
52, 1518,
30504 |
| 30B |
0 |
52, 1518,
30504 |
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 |