About this representation

Group 3.A6
Group generators Standard generators
Number of points 45
Distinguishing letter a
Primitivity information Transitive but imprimitive
Transitivity degree 1
Rank 7
Suborbit lengths 13, 63, 24
Contributed by Not recorded

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This representation is available in the following formats:

MeatAxe A B
MeatAxe binary A B
GAP A B
GAP A, B
Magma A, B

Checks applied

Check Description Date Checked by Result
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 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