About this representation

Group J3
Group generators Standard generators
Number of points 25840
Primitivity information Primitive
Transitivity degree 1
Rank 20
Suborbit lengths 1, 81, 2432, 9726, 194410
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 25840
2A 80 212880
3A 10 38610
3B 1 38613
4A 8 236, 46440
5A 0 55168
5B 0 55168
6A 2 24, 326, 64292
8A 4 22, 418, 83220
9A 1 92871
9B 1 92871
9C 1 92871
10A 0 516, 102576
10B 0 516, 102576
12A 2 32, 42, 612, 122146
15A 0 52, 151722
15B 0 52, 151722
17A 0 171520
17B 0 171520
19A 0 191360
19B 0 191360

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