About this representation
Group
| 22.Sz(8):3
|
Group generators
| Standard generators
|
Number of points
| 2080
|
Primitivity information
| Transitive but imprimitive
|
Transitivity degree
| 1
|
Rank
| 19
|
Suborbit lengths
| 1, 3, 8, 24, 28, 563, 16811
|
Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
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
|
Projective presentation
| Check against a presentation for a quotient group (checking projective orders rather than actual orders).
| Jul 24, 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
|