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:
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
|