About this representation

Group J1
Group generators Standard generators
Number of points 1540
Primitivity information Primitive
Transitivity degree 1
Rank 21
Suborbit lengths 1, 19, 384, 576, 1149
Point stabiliser 19:6
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 1540
2A 20 2760
3A 10 3510
5A 0 5308
5B 0 5308
6A 2 24, 36, 6252
7A 0 7220
10A 0 54, 10152
10B 0 54, 10152
11A 0 11140
15A 0 52, 15102
15B 0 52, 15102
19A 1 1981
19B 1 1981
19C 1 1981

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