About this representation

Group SL2(7)
Group generators Standard generators
Number of points 48
Primitivity information Transitive but imprimitive
Transitivity degree 1
Rank 12
Suborbit lengths 16, 76
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
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 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