About this representation
| Group |
He:2 |
| Group generators |
Standard generators |
| Number of
points |
8330 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
6 |
| Suborbit
lengths |
1, 105, 720, 1344, 1680, 4480 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
8330 |
|
| 2A |
346 |
23992 |
| 2B |
42 |
24144 |
| 3A |
77 |
32751 |
| 3B |
8 |
32774 |
| 4A |
22 |
2162, 41996 |
| 4B |
18 |
212, 42072 |
| 4C |
2 |
220, 42072 |
| 5A |
5 |
51665 |
| 6A |
13 |
232, 3111,
61320 |
| 6B |
0 |
24, 314,
61380 |
| 7A |
7 |
71189 |
| 7B |
0 |
71190 |
| 7C |
0 |
71190 |
| 8A |
2 |
410, 81036 |
| 10A |
1 |
22, 569,
10798 |
| 12A |
1 |
26, 37,
416, 652, 12660 |
| 12B |
0 |
36, 42,
64, 12690 |
| 14A |
3 |
22, 749,
14570 |
| 14B |
0 |
76, 14592 |
| 15A |
2 |
3, 515,
15550 |
| 17A |
0 |
17490 |
| 21A |
0 |
711, 21393 |
| 21B |
0 |
711, 21393 |
| 21C |
1 |
32, 7,
21396 |
| 28A |
1 |
2, 4, 73, 1423,
28285 |
| 2C |
98 |
24116 |
| 4D |
6 |
2170, 41996 |
| 6C |
35 |
221, 321,
61365 |
| 6D |
11 |
233, 329,
61361 |
| 6E |
2 |
23, 332,
61371 |
| 8B |
6 |
26, 46,
81036 |
| 8C |
6 |
26, 46,
81036 |
| 8D |
2 |
28, 46,
81036 |
| 10B |
3 |
2, 519,
10823 |
| 12C |
3 |
25, 3, 416,
655, 12660 |
| 14C |
0 |
714, 14588 |
| 16A |
0 |
2, 85,
16518 |
| 16B |
0 |
2, 85,
16518 |
| 20A |
1 |
4, 5, 1034,
20399 |
| 24A |
0 |
32, 62, 8,
122, 24345 |
| 24B |
0 |
32, 62, 8,
122, 24345 |
| 30A |
0 |
2, 3, 57, 104,
154, 30273 |
| 42A |
0 |
75, 143,
213, 42195 |
| 42B |
0 |
75, 143,
213, 42195 |
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 |