About this representation
| Group |
Suz:2 |
| Group generators |
Standard generators |
| Number of
points |
1782 |
| Primitivity
information |
Primitive |
|
Transitivity degree |
1 |
| Rank |
3 |
| Suborbit
lengths |
1, 416, 1365 |
|
Character |
1+780+1001 |
| Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A |
1782 |
|
| 2A |
54 |
2864 |
| 2B |
42 |
2870 |
| 3A |
162 |
3540 |
| 3B |
0 |
3594 |
| 3C |
18 |
3588 |
| 4A |
30 |
212, 4432 |
| 4B |
6 |
224, 4432 |
| 4C |
2 |
226, 4432 |
| 4D |
0 |
221, 4435 |
| 5A |
12 |
5354 |
| 5B |
2 |
5356 |
| 6A |
18 |
272, 312,
6264 |
| 6B |
0 |
318, 6288 |
| 6C |
0 |
318, 6288 |
| 6D |
6 |
26, 312,
6288 |
| 7A |
4 |
7254 |
| 8A |
6 |
212, 46,
8216 |
| 8B |
2 |
22, 412,
8216 |
| 8C |
0 |
2, 413,
8216 |
| 9A |
0 |
9198 |
| 10A |
4 |
24, 510,
10172 |
| 10B |
2 |
58, 10174 |
| 11A |
0 |
11162 |
| 12A |
6 |
26, 38,
436, 62, 12132 |
| 12B |
0 |
310, 64,
12144 |
| 12C |
2 |
28, 436,
66, 12132 |
| 12D |
0 |
23, 43,
66, 12144 |
| 12E |
0 |
32, 68,
12144 |
| 13A |
1 |
13137 |
| 14A |
0 |
22, 76,
14124 |
| 15A |
3 |
33, 53,
15117 |
| 15B |
2 |
532, 15108 |
| 18A |
0 |
96, 1896 |
| 20A |
0 |
22, 42,
56, 102, 2086 |
| 21A |
1 |
3, 723,
2177 |
| 24A |
0 |
23, 32,
43, 63, 818, 12,
2466 |
| 2C |
100 |
2841 |
| 2D |
0 |
2891 |
| 4E |
12 |
221, 4432 |
| 4F |
14 |
214, 4435 |
| 6E |
10 |
276, 330,
6255 |
| 6F |
0 |
6297 |
| 6G |
4 |
27, 332,
6278 |
| 6H |
0 |
29, 6294 |
| 8D |
0 |
215, 46,
8216 |
| 8E |
16 |
27, 46,
8216 |
| 8F |
0 |
215, 46,
8216 |
| 8G |
4 |
213, 46,
8216 |
| 8H |
2 |
413, 8216 |
| 10C |
0 |
2, 520,
10168 |
| 10D |
0 |
26, 520,
10167 |
| 10E |
0 |
2, 10178 |
| 12F |
6 |
26, 32,
436, 65, 12132 |
| 12G |
0 |
34, 67,
12144 |
| 12H |
2 |
22, 34,
43, 64, 12144 |
| 14B |
2 |
2, 714,
14120 |
| 16A |
2 |
4, 86,
16108 |
| 22A |
0 |
2281 |
| 24B |
0 |
23, 43,
64, 818, 12, 2466 |
| 24C |
4 |
2, 34, 43,
62, 818, 12, 2466 |
| 24D |
0 |
65, 122,
2472 |
| 24E |
0 |
65, 122,
2472 |
| 24F |
2 |
44, 818,
123, 2466 |
| 28A |
0 |
4, 72, 142,
2862 |
| 30A |
0 |
2, 52, 1015,
156, 3051 |
| 40A |
0 |
4, 8, 103, 20,
4043 |
| 40B |
0 |
4, 8, 103, 20,
4043 |
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 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 |