About this representation
| Group |
Co2 |
| Group generators |
Standard generators |
| Number of
points |
4600 |
| Primitivity
information |
Transitive but imprimitive |
|
Transitivity degree |
1 |
| Rank |
5 |
| Suborbit
lengths |
12, 8912,
2816 |
|
Character |
(1 + 275 + 2024) + (23 + 2277) |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
4600 |
|
| 2A |
56 |
22272 |
| 2B |
280 |
22160 |
| 2C |
40 |
22280 |
| 3A |
10 |
31530 |
| 3B |
82 |
31506 |
| 4A |
56 |
41136 |
| 4B |
0 |
2140, 41080 |
| 4C |
48 |
2116, 41080 |
| 4D |
8 |
224, 41136 |
| 4E |
32 |
2124, 41080 |
| 4F |
8 |
2136, 41080 |
| 4G |
0 |
220, 41140 |
| 5A |
0 |
5920 |
| 5B |
20 |
5916 |
| 6A |
10 |
390, 6720 |
| 6B |
2 |
24, 318,
6756 |
| 6C |
20 |
231, 312,
6747 |
| 6D |
2 |
240, 318,
6744 |
| 6E |
10 |
236, 390,
6708 |
| 6F |
4 |
239, 312,
6747 |
| 7A |
8 |
7656 |
| 8A |
0 |
228, 8568 |
| 8B |
0 |
224, 458,
8540 |
| 8C |
8 |
412, 8568 |
| 8D |
0 |
24, 412,
8568 |
| 8E |
8 |
220, 458,
8540 |
| 8F |
4 |
214, 462,
8540 |
| 9A |
4 |
32, 9510 |
| 10A |
0 |
556, 10432 |
| 10B |
6 |
27, 510,
10453 |
| 10C |
0 |
210, 58,
10454 |
| 11A |
2 |
11418 |
| 12A |
2 |
318, 42,
12378 |
| 12B |
6 |
22, 314,
638, 12360 |
| 12C |
2 |
318, 420,
12372 |
| 12D |
0 |
25, 316,
418, 637, 12354 |
| 12E |
2 |
32, 42,
68, 12378 |
| 12F |
0 |
25, 418,
645, 12354 |
| 12G |
2 |
24, 310,
640, 12360 |
| 12H |
2 |
24, 32,
418, 644, 12354 |
| 14A |
0 |
24, 78,
14324 |
| 14B |
0 |
24, 740,
14308 |
| 14C |
0 |
24, 740,
14308 |
| 15A |
2 |
36, 516,
15300 |
| 15B |
0 |
52, 15306 |
| 15C |
0 |
52, 15306 |
| 16A |
0 |
42, 86,
16284 |
| 16B |
0 |
24, 86,
16284 |
| 18A |
2 |
2, 6, 96,
18252 |
| 20A |
0 |
1028, 20216 |
| 20B |
0 |
45, 104,
20227 |
| 23A |
0 |
23200 |
| 23B |
0 |
23200 |
| 24A |
0 |
2, 69, 810,
24186 |
| 24B |
0 |
23, 4, 67,
1219, 24180 |
| 28A |
0 |
42, 78,
28162 |
| 30A |
0 |
2, 32, 54,
62, 106, 152,
30149 |
| 30B |
0 |
52, 1518,
30144 |
| 30C |
0 |
52, 1518,
30144 |
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 4, 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 |