About this representation

Group Co3
Group generators Standard generators
Number of points 276
Primitivity information Primitive
Transitivity degree 2
Rank 2
Suborbit lengths 1, 275
Character 1 + 275
Point stabiliser McL:2
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 276
2A 36 2120
2B 12 2132
3A 6 390
3B 15 387
3C 0 392
4A 16 210, 460
4B 8 214, 460
5A 1 555
5B 6 554
6A 6 310, 640
6B 0 23, 312, 639
6C 3 26, 311, 638
6D 3 26, 33, 642
6E 0 34, 644
7A 3 739
8A 2 23, 47, 830
8B 6 2, 47, 830
8C 2 23, 47, 830
9A 0 32, 930
9B 3 3, 930
10A 1 57, 1024
10B 2 22, 52, 1026
11A 1 1125
11B 1 1125
12A 4 2, 34, 63, 1220
12B 2 22, 32, 64, 1220
12C 1 2, 35, 43, 63, 1219
14A 1 2, 75, 1417
15A 1 5, 1518
15B 0 32, 53, 1517
18A 0 6, 94, 1813
20A 1 53, 102, 2012
20B 1 53, 102, 2012
21A 0 3, 2113
22A 1 11, 2212
22B 1 11, 2212
23A 0 2312
23B 0 2312
24A 2 4, 6, 122, 2410
24B 0 2, 32, 4, 122, 2410
30A 1 5, 152, 308

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