About this representation

Group Suz
Group generators Standard generators
Number of points 32760
Primitivity information Primitive
Transitivity degree 1
Rank 6
Suborbit lengths 1, 891, 1980, 2816, 6336, 20736
Character 1 + 143 + 364 + 5940 + 12012 + 14300
Point stabiliser U5(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 32760
2A 760 216000
2B 0 216380
3A 252 310836
3B 144 310872
3C 0 310920
4A 40 2360, 48000
4B 8 2376, 48000
4C 16 2372, 48000
4D 0 48190
5A 0 56552
5B 20 56548
6A 28 2112, 3244, 65296
6B 22 261, 3246, 65313
6C 22 261, 3246, 65313
6D 16 264, 3248, 65312
6E 0 65460
7A 0 74680
8A 0 220, 4180, 84000
8B 4 22, 4188, 84000
8C 0 28, 4186, 84000
9A 3 347, 93624
9B 3 347, 93624
10A 0 5152, 103200
10B 0 210, 103274
11A 2 112978
12A 4 212, 312, 456, 6116, 122648
12B 4 26, 312, 432, 6118, 122656
12C 4 212, 34, 456, 6120, 122648
12D 0 122730
12E 2 27, 32, 432, 6123, 122656
13A 0 132520
13B 0 132520
14A 0 142340
15A 0 152184
15B 0 152184
15C 2 36, 550, 152166
18A 1 2, 37, 620, 982, 181771
18B 1 2, 37, 620, 982, 181771
20A 0 58, 1072, 201600
21A 0 736, 211548
21B 0 736, 211548
24A 0 22, 46, 66, 828, 1258, 241324

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