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 |