About this representation
| Group |
He:2 |
| Group generators |
Standard generators |
| Number of
points |
2058 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
4 |
| Suborbit
lengths |
1, 272, 425, 1360 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
2058 |
|
| 2A |
154 |
2952 |
| 2B |
42 |
21008 |
| 3A |
42 |
3672 |
| 3B |
0 |
3686 |
| 4A |
14 |
270, 4476 |
| 4B |
18 |
212, 4504 |
| 4C |
2 |
220, 4504 |
| 5A |
8 |
5410 |
| 6A |
10 |
216, 348,
6312 |
| 6B |
0 |
314, 6336 |
| 7A |
0 |
7294 |
| 7B |
0 |
7294 |
| 7C |
0 |
7294 |
| 8A |
2 |
410, 8252 |
| 10A |
4 |
22, 530,
10190 |
| 12A |
2 |
24, 34,
48, 622, 12156 |
| 12B |
0 |
36, 64,
12168 |
| 14A |
0 |
722, 14136 |
| 14B |
0 |
76, 14144 |
| 15A |
2 |
32, 58,
15134 |
| 17A |
1 |
17121 |
| 21A |
0 |
76, 2196 |
| 21B |
0 |
76, 2196 |
| 21C |
0 |
2198 |
| 28A |
0 |
72, 1410,
2868 |
| 2C |
0 |
21029 |
| 4D |
12 |
271, 4476 |
| 6C |
0 |
221, 6336 |
| 6D |
0 |
221, 6336 |
| 6E |
0 |
6343 |
| 8B |
0 |
29, 46,
8252 |
| 8C |
0 |
29, 46,
8252 |
| 8D |
4 |
27, 46,
8252 |
| 10B |
0 |
24, 10205 |
| 12C |
0 |
25, 34,
48, 622, 12156 |
| 14C |
0 |
14147 |
| 16A |
2 |
85, 16126 |
| 16B |
2 |
85, 16126 |
| 20A |
2 |
2, 4, 52, 1014,
2095 |
| 24A |
0 |
63, 122,
2484 |
| 24B |
0 |
63, 122,
2484 |
| 30A |
0 |
2, 6, 104,
3067 |
| 42A |
0 |
143, 4248 |
| 42B |
0 |
143, 4248 |
Checks applied
| Check |
Description |
Date |
Checked by |
Result |
| 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 |