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

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This representation is available in the following formats:

MeatAxe c d
MeatAxe binary c d
GAP c d
GAP c, d
Magma c, d

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