About this representation
| Group
| 3.Fi22:2
|
| Group generators
| Standard generators
|
| Number of points
| 185328
|
| Primitivity information
| Transitive but imprimitive
|
| Transitivity degree
| 1
|
| Rank
| 7
|
| Suborbit lengths
| 1, 2, 1575, 3150, 37800, 67200, 75600
|
| 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 4, 2006
| certify.pl version 0.05
| Pass
|
| Projective semi-presentation
| Check against a semi-presentation for a quotient group (checking projective orders rather than actual orders).
| 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
|