About this representation

Group Suz
Group generators Standard generators
Number of points 22880
Primitivity information Primitive
Transitivity degree 1
Rank 5
Suborbit lengths 1, 280, 486, 8505, 13608
Character 1 + 364 + 780 + 5940 + 15795
Point stabiliser 32.U4(3).23'
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 22880
2A 480 211200
2B 112 211384
3A 281 37533
3B 38 37614
3C 20 37620
4A 80 2200, 45600
4B 0 2240, 45600
4C 32 2224, 45600
4D 0 256, 45692
5A 0 54576
5B 10 54574
6A 9 2136, 3157, 63688
6B 12 213, 3156, 63729
6C 12 213, 3156, 63729
6D 6 216, 3158, 63728
6E 4 28, 336, 63792
7A 4 73268
8A 12 234, 4100, 82800
8B 0 4120, 82800
8C 4 214, 4112, 82800
9A 2 312, 92538
9B 2 312, 92538
10A 0 596, 102240
10B 2 24, 522, 102276
11A 0 112080
12A 5 22, 325, 468, 666, 121844
12B 2 22, 326, 48, 666, 121864
12C 5 22, 39, 468, 674, 121844
12D 0 22, 44, 618, 121896
12E 0 23, 48, 679, 121864
13A 0 131760
13B 0 131760
14A 0 22, 716, 141626
15A 0 54, 151524
15B 0 54, 151524
15C 1 33, 556, 151506
18A 0 2, 34, 64, 952, 181243
18B 0 2, 34, 64, 952, 181243
20A 0 516, 1040, 201120
21A 1 3, 740, 211076
21B 1 3, 740, 211076
24A 3 2, 33, 4, 611, 834, 1233, 24922

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