About this representation
Group
| Suz
|
Group generators
| Standard generators
|
Number of points
| 135135
|
Primitivity information
| Primitive
|
Transitivity degree
| 1
|
Rank
| 9
|
Suborbit lengths
| 1, 54, 360, 1728, 5120, 9216, 17280, 46080, 55296
|
Point stabiliser
| 21+6.U4(2)
|
Contributed by
| John Bray
|
Download
This representation is available in the following formats:
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 5, 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
|