About this representation

Group J1
Group generators Standard generators
Number of points 1596
Primitivity information Primitive
Transitivity degree 1
Rank 19
Suborbit lengths 1, 11, 222, 552, 11013
Point stabiliser 11:10
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 1596
2A 12 2792
3A 0 3532
5A 6 5318
5B 6 5318
6A 0 34, 6264
7A 0 7228
10A 2 22, 52, 10158
10B 2 22, 52, 10158
11A 1 11145
15A 0 32, 15106
15B 0 32, 15106
19A 0 1984
19B 0 1984
19C 0 1984

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