About this representation
| Group |
Co2 |
| Group generators |
Standard generators |
| Number of
points |
2300 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
3 |
| Suborbit
lengths |
1, 891, 1408 |
|
Character |
1 + 275 + 2024 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
2300 |
|
| 2A |
284 |
21008 |
| 2B |
140 |
21080 |
| 2C |
52 |
21124 |
| 3A |
5 |
3765 |
| 3B |
41 |
3753 |
| 4A |
28 |
2128, 4504 |
| 4B |
40 |
250, 4540 |
| 4C |
32 |
254, 4540 |
| 4D |
4 |
2140, 4504 |
| 4E |
16 |
262, 4540 |
| 4F |
12 |
264, 4540 |
| 4G |
0 |
226, 4562 |
| 5A |
0 |
5460 |
| 5B |
10 |
5458 |
| 6A |
5 |
345, 6360 |
| 6B |
5 |
393, 6336 |
| 6C |
11 |
215, 391,
6331 |
| 6D |
17 |
212, 389,
6332 |
| 6E |
5 |
218, 345,
6354 |
| 6F |
7 |
217, 315,
6369 |
| 7A |
4 |
7328 |
| 8A |
4 |
212, 464,
8252 |
| 8B |
10 |
211, 427,
8270 |
| 8C |
4 |
470, 8252 |
| 8D |
0 |
22, 470,
8252 |
| 8E |
6 |
213, 427,
8270 |
| 8F |
2 |
27, 431,
8270 |
| 9A |
2 |
3, 9255 |
| 10A |
0 |
528, 10216 |
| 10B |
4 |
23, 556,
10201 |
| 10C |
2 |
24, 510,
10224 |
| 11A |
1 |
11209 |
| 12A |
1 |
22, 39,
642, 12168 |
| 12B |
5 |
39, 618,
12180 |
| 12C |
1 |
28, 39,
46, 640, 12166 |
| 12D |
5 |
39, 49,
618, 12177 |
| 12E |
1 |
22, 3, 646,
12168 |
| 12F |
1 |
22, 313,
49, 616, 12177 |
| 12G |
1 |
22, 35,
620, 12180 |
| 12H |
3 |
2, 33, 49,
621, 12177 |
| 14A |
4 |
740, 14144 |
| 14B |
0 |
22, 720,
14154 |
| 14C |
0 |
22, 720,
14154 |
| 15A |
1 |
33, 58,
15150 |
| 15B |
0 |
5, 15153 |
| 15C |
0 |
5, 15153 |
| 16A |
0 |
4, 835,
16126 |
| 16B |
2 |
2, 835,
16126 |
| 18A |
2 |
3, 931,
18112 |
| 20A |
0 |
58, 1010,
20108 |
| 20B |
0 |
2, 42, 105,
20112 |
| 23A |
0 |
23100 |
| 23B |
0 |
23100 |
| 24A |
1 |
3, 44, 64,
83, 1220, 2483 |
| 24B |
1 |
22, 33,
63, 129, 2490 |
| 28A |
0 |
22, 74,
1418, 2872 |
| 30A |
1 |
3, 52, 6, 103,
1518, 3066 |
| 30B |
0 |
5, 159,
3072 |
| 30C |
0 |
5, 159,
3072 |
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 |