About this representation
| Group |
HS |
| Group generators |
Standard generators |
| Number of
points |
15400 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
27 |
| Suborbit
lengths |
1, 24, 30, 362, 45,
1442, 1803, 3604,
72010, 28802 |
| 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 |
200 |
27600 |
| 2B |
148 |
27626 |
| 3A |
10 |
35130 |
| 4A |
120 |
240, 43800 |
| 4B |
8 |
296, 43800 |
| 4C |
12 |
294, 43800 |
| 5A |
0 |
53080 |
| 5B |
15 |
53077 |
| 5C |
0 |
53080 |
| 6A |
4 |
23, 348,
62541 |
| 6B |
2 |
24, 366,
62532 |
| 7A |
0 |
72200 |
| 8A |
0 |
24, 448,
81900 |
| 8B |
2 |
25, 447,
81900 |
| 8C |
2 |
25, 447,
81900 |
| 10A |
0 |
540, 101520 |
| 10B |
3 |
26, 529,
101524 |
| 11A |
0 |
111400 |
| 11B |
0 |
111400 |
| 12A |
0 |
2, 340, 42,
613, 121266 |
| 15A |
0 |
35, 52,
151025 |
| 20A |
0 |
524, 108,
20760 |
| 20B |
0 |
524, 108,
20760 |
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 |