About this representation

Group Co3
Group generators Standard generators
Number of points 552
Primitivity information Transitive but imprimitive
Transitivity degree 1
Rank 4
Suborbit lengths 12, 2752
Character (1 + 275) + (23 + 253b)
Point stabiliser McL
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 552
2A 72 2240
2B 0 2276
3A 12 3180
3B 30 3174
3C 0 3184
4A 0 236, 4120
4B 16 228, 4120
5A 2 5110
5B 12 5108
6A 12 320, 680
6B 0 26, 324, 678
6C 6 212, 322, 676
6D 0 215, 687
6E 0 692
7A 6 778
8A 0 28, 414, 860
8B 0 28, 414, 860
8C 4 26, 414, 860
9A 0 34, 960
9B 6 32, 960
10A 2 514, 1048
10B 0 26, 1054
11A 2 1150
11B 2 1150
12A 0 26, 610, 1240
12B 4 24, 34, 68, 1240
12C 0 23, 46, 611, 1238
14A 2 22, 710, 1434
15A 2 52, 1536
15B 0 34, 56, 1534
18A 0 62, 98, 1826
20A 0 2, 107, 2024
20B 0 2, 107, 2024
21A 0 32, 2126
22A 0 2, 2225
22B 0 2, 2225
23A 0 2324
23B 0 2324
24A 0 22, 42, 62, 124, 2420
24B 0 22, 42, 62, 124, 2420
30A 2 52, 154, 3016

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