About this representation
| Group
| McL:2
|
| Group generators
| Standard generators
|
| Number of points
| 4050
|
| Primitivity information
| Transitive but imprimitive
|
| Transitivity degree
| 1
|
| Rank
| 8
|
| Suborbit lengths
| 1, 22, 176, 330, 462, 672, 1155, 1232
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 4050
|
|
| 2A
| 210
| 21920
|
| 3A
| 0
| 31350
|
| 3B
| 54
| 31332
|
| 4A
| 18
| 296, 4960
|
| 5A
| 0
| 5810
|
| 5B
| 10
| 5808
|
| 6A
| 0
| 370, 6640
|
| 6B
| 6
| 224, 368, 6632
|
| 7A
| 4
| 7578
|
| 8A
| 2
| 28, 448, 8480
|
| 9A
| 0
| 9450
|
| 10A
| 0
| 542, 10384
|
| 11A
| 2
| 11368
|
| 11B
| 2
| 11368
|
| 12A
| 0
| 36, 632, 12320
|
| 14A
| 0
| 22, 730, 14274
|
| 15A
| 0
| 15270
|
| 30A
| 0
| 1514, 30128
|
| 2B
| 0
| 22025
|
| 4B
| 0
| 2105, 4960
|
| 6C
| 0
| 227, 6666
|
| 8B
| 0
| 29, 448, 8480
|
| 8C
| 0
| 29, 448, 8480
|
| 10B
| 0
| 25, 10404
|
| 12B
| 0
| 635, 12320
|
| 12C
| 0
| 23, 412, 634, 12316
|
| 20A
| 0
| 1021, 20192
|
| 20B
| 0
| 1021, 20192
|
| 22A
| 0
| 2, 22184
|
| 22B
| 0
| 2, 22184
|
| 24A
| 0
| 63, 1216, 24160
|
| 24B
| 0
| 63, 1216, 24160
|
Checks applied
| Check |
Description |
Date |
Checked by |
Result |
| Presentation
| Check against the relations in a presentation. If this test passes, then the group is of the correct isomorphism type, and the generators are those stated. Note that the presentation itself is not checked here.
| Aug 2, 2006
| certify.pl version 0.05
| Pass
|
| 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
|