About this representation
Group |
J3 |
Group generators |
Standard generators |
Number of
points |
43605 |
Primitivity
information |
Primitive |
Transitivity degree |
1 |
Rank |
57 |
Suborbit
lengths |
1, 8, 12, 32, 963,
1282, 1924, 3848,
5764, 115232 |
Contributed
by |
Not recorded |
Download
This representation is available in the following
formats:
On conjugacy classes
Conjugacy class |
Fixed points |
Cycle type |
1A |
43605 |
|
2A |
85 |
221760 |
3A |
90 |
314505 |
3B |
27 |
314526 |
4A |
5 |
240, 410880 |
5A |
0 |
58721 |
5B |
0 |
58721 |
6A |
10 |
240, 325,
67240 |
8A |
1 |
22, 420,
85440 |
9A |
0 |
39, 94842 |
9B |
0 |
39, 94842 |
9C |
0 |
39, 94842 |
10A |
0 |
517, 104352 |
10B |
0 |
517, 104352 |
12A |
2 |
24, 3, 420,
612, 123620 |
15A |
0 |
518, 152901 |
15B |
0 |
518, 152901 |
17A |
0 |
172565 |
17B |
0 |
172565 |
19A |
0 |
192295 |
19B |
0 |
192295 |
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 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 |