About this representation
| Group |
HN |
| Group generators |
Standard generators |
| Number of
points |
1140000 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
12 |
| Suborbit
lengths |
1, 462, 25202, 10395,
16632, 30800, 69300, 1663202, 311850,
362880 |
|
Character |
1 + 133ab + 760 + 3344 + 8910 + 16929
+ 35112ab + 267520 + 365750 + 406296 |
| Point
stabiliser |
A12 |
| Notes |
This representation fails the
automated semi-presentation test because our version of
MeatAxe cannot cope with permutations on more than 1000000
points. |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
1140000 |
|
| 2A |
8800 |
2565600 |
| 2B |
800 |
2569600 |
| 3A |
645 |
3379785 |
| 3B |
60 |
3379980 |
| 4A |
160 |
2320,
4284800 |
| 4B |
32 |
24384,
4282800 |
| 4C |
0 |
2400,
4284800 |
| 5A |
50 |
5227990 |
| 5B |
0 |
5228000 |
| 5C |
0 |
5228000 |
| 5D |
0 |
5228000 |
| 5E |
50 |
5227990 |
| 6A |
61 |
2292, 32913,
6188436 |
| 6B |
5 |
2320, 3265,
6189760 |
| 6C |
20 |
220, 3260,
6189860 |
| 7A |
1 |
7162857 |
| 8A |
0 |
216, 42192,
8141400 |
| 8B |
8 |
276, 4160,
8142400 |
| 9A |
3 |
319,
9126660 |
| 10A |
0 |
51760,
10113120 |
| 10B |
10 |
220, 51758,
10113116 |
| 10C |
0 |
5160,
10113920 |
| 10D |
0 |
5160,
10113920 |
| 10E |
0 |
5160,
10113920 |
| 10F |
10 |
220, 51758,
10113116 |
| 10G |
0 |
225, 5160,
10113915 |
| 10H |
0 |
225, 5160,
10113915 |
| 11A |
4 |
11103636 |
| 12A |
5 |
228, 39,
4146, 61452, 1294218 |
| 12B |
1 |
22, 353,
4160, 6106, 1294880 |
| 12C |
0 |
210, 410,
6130, 1294930 |
| 14A |
1 |
71257,
1480800 |
| 15A |
5 |
315, 5128,
1575954 |
| 15B |
0 |
512,
1575996 |
| 15C |
0 |
512,
1575996 |
| 19A |
0 |
1960000 |
| 19B |
0 |
1960000 |
| 20A |
0 |
532, 1064,
2056960 |
| 20B |
0 |
532, 1064,
2056960 |
| 20C |
2 |
24, 410,
56, 10876, 2056558 |
| 20D |
0 |
1080,
2056960 |
| 20E |
0 |
1080,
2056960 |
| 21A |
1 |
792,
2154255 |
| 22A |
0 |
22, 11800,
2251418 |
| 25A |
0 |
2545600 |
| 25B |
0 |
2545600 |
| 30A |
1 |
22, 33,
512, 66, 1058,
15582, 3037686 |
| 30B |
0 |
54, 104,
1552, 3037972 |
| 30C |
0 |
54, 104,
1552, 3037972 |
| 35A |
1 |
77, 3532570 |
| 35B |
1 |
77, 3532570 |
| 40A |
0 |
2, 42, 85,
103, 20438, 4028279 |
| 40B |
0 |
2, 42, 85,
103, 20438, 4028279 |
Checks applied
| Check |
Description |
Date |
Checked by |
Result |
| Files exist |
Check whether files exist (where
stated). |
Jul 4, 2006 |
certify.pl version 0.05 |
Pass |