About this representation
| Group
| McL:2
|
| Group generators
| Standard generators
|
| Number of points
| 44550
|
| Primitivity information
| Transitive but imprimitive
|
| Transitivity degree
| 1
|
| Rank
| 26
|
| Suborbit lengths
| 1, 35, 112, 120, 140, 210, 336, 420, 560, 6722, 8402, 16804, 22402, 2520, 33603, 4032, 5040, 6720
|
| Contributed by
| Not recorded
|
Download
This representation is available in the following formats:
On conjugacy classes
| Conjugacy class |
Fixed points |
Cycle type |
| 1A
| 44550
|
|
| 2A
| 870
| 221840
|
| 3A
| 0
| 314850
|
| 3B
| 108
| 314814
|
| 4A
| 30
| 2420, 410920
|
| 5A
| 0
| 58910
|
| 5B
| 10
| 58908
|
| 6A
| 0
| 3290, 67280
|
| 6B
| 12
| 248, 3286, 67264
|
| 7A
| 2
| 76364
|
| 8A
| 2
| 214, 4210, 85460
|
| 9A
| 0
| 94950
|
| 10A
| 0
| 5174, 104368
|
| 11A
| 0
| 114050
|
| 11B
| 0
| 114050
|
| 12A
| 0
| 310, 6140, 123640
|
| 14A
| 2
| 7124, 143120
|
| 15A
| 0
| 152970
|
| 30A
| 0
| 1558, 301456
|
| 2B
| 0
| 222275
|
| 4B
| 0
| 2435, 410920
|
| 6C
| 0
| 254, 67407
|
| 8B
| 0
| 215, 4210, 85460
|
| 8C
| 0
| 215, 4210, 85460
|
| 10B
| 0
| 25, 104454
|
| 12B
| 0
| 6145, 123640
|
| 12C
| 0
| 26, 424, 6143, 123632
|
| 20A
| 0
| 1087, 202184
|
| 20B
| 0
| 1087, 202184
|
| 22A
| 0
| 222025
|
| 22B
| 0
| 222025
|
| 24A
| 0
| 65, 1270, 241820
|
| 24B
| 0
| 65, 1270, 241820
|
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
|