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 |
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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 |