About this representation

Group J1
Group generators Standard generators
Number of points 1045
Primitivity information Primitive
Transitivity degree 1
Rank 11
Suborbit lengths 1, 8, 28, 563, 1685
Character 1+56ab+76a+77bc+120abc+133a+209
Point stabiliser 23:7:3
Contributed by Not recorded

Download

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 1045
2A 5 2520
3A 10 3345
5A 0 5209
5B 0 5209
6A 2 24, 3, 6172
7A 2 7149
10A 0 5, 10104
10B 0 5, 10104
11A 0 1195
15A 0 52, 1569
15B 0 52, 1569
19A 0 1955
19B 0 1955
19C 0 1955

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