About this representation

Group Ru
Group generators Standard generators
Number of points 4060
Primitivity information Primitive
Transitivity degree 1
Rank 3
Suborbit lengths 1, 1755, 2304
Character 1+783+3276
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 4060
2A 92 21984
2B 0 22030
3A 10 31350
4A 32 230, 4992
4B 20 236, 4992
4C 4 244, 4992
4D 8 242, 4992
5A 10 5810
5B 0 5812
6A 2 24, 330, 6660
7A 0 7580
8A 6 213, 415, 8496
8B 4 422, 8496
8C 2 23, 421, 8496
10A 2 24, 518, 10396
10B 0 10406
12A 2 310, 42, 610, 12330
12B 2 36, 42, 612, 12330
13A 4 13312
14A 0 14290
14B 0 14290
14C 0 14290
15A 0 52, 15270
16A 2 2, 811, 16248
16B 2 2, 811, 16248
20A 2 42, 56, 106, 20198
20B 0 2, 42, 54, 107, 20198
20C 0 2, 42, 54, 107, 20198
24A 0 2, 32, 64, 8, 125, 24165
24B 0 2, 32, 64, 8, 125, 24165
26A 0 22, 26156
26B 0 22, 26156
26C 0 22, 26156
29A 0 29140
29B 0 29140

Checks applied

Check Description Date Checked by Result
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 4, 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