About this representation

Group J1
Group generators Standard generators
Number of points 2926
Primitivity information Primitive
Transitivity degree 1
Rank 67
Suborbit lengths 1, 155, 3027, 6034
Point stabiliser D10 × D6
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

On conjugacy classes

Conjugacy class Fixed points Cycle type
1A 2926
2A 30 21448
3A 10 3972
5A 6 5584
5B 6 5584
6A 0 25, 310, 6481
7A 0 7418
10A 0 23, 56, 10289
10B 0 23, 56, 10289
11A 0 11266
15A 0 32, 52, 15194
15B 0 32, 52, 15194
19A 0 19154
19B 0 19154
19C 0 19154

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
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 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