About this representation
Group |
McL:2 |
Group generators |
Standard generators |
Number of
points |
275 |
Primitivity
information |
Primitive |
Transitivity degree |
1 |
Rank |
3 |
Suborbit
lengths |
1, 112, 162 |
Character |
1+22+252 |
Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
Conjugacy class |
Fixed points |
Cycle type |
1A |
275 |
|
2A |
35 |
2120 |
3A |
5 |
390 |
3B |
14 |
387 |
4A |
7 |
214, 460 |
5A |
0 |
555 |
5B |
5 |
554 |
6A |
5 |
310, 640 |
6B |
2 |
26, 311,
638 |
7A |
2 |
739 |
8A |
1 |
23, 47,
830 |
9A |
2 |
3, 930 |
10A |
0 |
57, 1024 |
11A |
0 |
1125 |
11B |
0 |
1125 |
12A |
1 |
22, 32,
64, 1220 |
14A |
0 |
2, 75, 1417 |
15A |
0 |
5, 1518 |
30A |
0 |
5, 152, 308 |
2B |
11 |
2132 |
4B |
15 |
210, 460 |
6C |
2 |
26, 33,
642 |
8B |
1 |
23, 47,
830 |
8C |
5 |
2, 47, 830 |
10B |
1 |
22, 52,
1026 |
12B |
3 |
2, 34, 63,
1220 |
12C |
0 |
2, 35, 43,
63, 1219 |
20A |
0 |
53, 102,
2012 |
20B |
0 |
53, 102,
2012 |
22A |
0 |
11, 2212 |
22B |
0 |
11, 2212 |
24A |
1 |
4, 6, 122,
2410 |
24B |
1 |
4, 6, 122,
2410 |
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 |