About this representation
| Group
| Suz
|
| Group generators
| Standard generators
|
| Number of points
| 1782
|
| Primitivity information
| Primitive
|
| Transitivity degree
| 1
|
| Rank
| 3
|
| Suborbit lengths
| 1, 416, 1365
|
| Character
| 1 + 780 + 1001
|
| Point stabiliser
| G2(4)
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 1782
|
|
| 2A
| 54
| 2864
|
| 2B
| 42
| 2870
|
| 3A
| 162
| 3540
|
| 3B
| 0
| 3594
|
| 3C
| 18
| 3588
|
| 4A
| 30
| 212, 4432
|
| 4B
| 6
| 224, 4432
|
| 4C
| 2
| 226, 4432
|
| 4D
| 0
| 221, 4435
|
| 5A
| 12
| 5354
|
| 5B
| 2
| 5356
|
| 6A
| 18
| 272, 312, 6264
|
| 6B
| 0
| 318, 6288
|
| 6C
| 0
| 318, 6288
|
| 6D
| 0
| 318, 6288
|
| 6E
| 6
| 26, 312, 6288
|
| 7A
| 4
| 7254
|
| 8A
| 6
| 212, 46, 8216
|
| 8B
| 2
| 22, 412, 8216
|
| 8C
| 0
| 2, 413, 8216
|
| 9A
| 0
| 9198
|
| 9B
| 0
| 9198
|
| 10A
| 4
| 24, 510, 10172
|
| 10B
| 2
| 58, 10174
|
| 11A
| 0
| 11162
|
| 12A
| 6
| 26, 38, 436, 62, 12132
|
| 12B
| 0
| 310, 64, 12144
|
| 12C
| 2
| 28, 436, 66, 12132
|
| 12D
| 0
| 23, 43, 66, 12144
|
| 12E
| 0
| 32, 68, 12144
|
| 13A
| 1
| 13137
|
| 13B
| 1
| 13137
|
| 14A
| 0
| 22, 76, 14124
|
| 15A
| 3
| 33, 53, 15117
|
| 15B
| 3
| 33, 53, 15117
|
| 15C
| 2
| 532, 15108
|
| 18A
| 0
| 96, 1896
|
| 18B
| 0
| 96, 1896
|
| 20A
| 0
| 22, 42, 56, 102, 2086
|
| 21A
| 1
| 3, 723, 2177
|
| 21B
| 1
| 3, 723, 2177
|
| 24A
| 0
| 23, 32, 43, 63, 818, 12, 2466
|
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
|