About this representation

Group He:2
Group generators Standard generators
Number of points 8330
Primitivity information Primitive
Transitivity degree 1
Rank 6
Suborbit lengths 1, 105, 720, 1344, 1680, 4480
Contributed by Not recorded

Download

This representation is available in the following formats:

MeatAxe c d
MeatAxe binary c d
GAP c d
GAP c, d
Magma c, d

On conjugacy classes

Conjugacy class Fixed points Cycle type
1A 8330
2A 346 23992
2B 42 24144
3A 77 32751
3B 8 32774
4A 22 2162, 41996
4B 18 212, 42072
4C 2 220, 42072
5A 5 51665
6A 13 232, 3111, 61320
6B 0 24, 314, 61380
7A 7 71189
7B 0 71190
7C 0 71190
8A 2 410, 81036
10A 1 22, 569, 10798
12A 1 26, 37, 416, 652, 12660
12B 0 36, 42, 64, 12690
14A 3 22, 749, 14570
14B 0 76, 14592
15A 2 3, 515, 15550
17A 0 17490
21A 0 711, 21393
21B 0 711, 21393
21C 1 32, 7, 21396
28A 1 2, 4, 73, 1423, 28285
2C 98 24116
4D 6 2170, 41996
6C 35 221, 321, 61365
6D 11 233, 329, 61361
6E 2 23, 332, 61371
8B 6 26, 46, 81036
8C 6 26, 46, 81036
8D 2 28, 46, 81036
10B 3 2, 519, 10823
12C 3 25, 3, 416, 655, 12660
14C 0 714, 14588
16A 0 2, 85, 16518
16B 0 2, 85, 16518
20A 1 4, 5, 1034, 20399
24A 0 32, 62, 8, 122, 24345
24B 0 32, 62, 8, 122, 24345
30A 0 2, 3, 57, 104, 154, 30273
42A 0 75, 143, 213, 42195
42B 0 75, 143, 213, 42195

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 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