A028825 List of sizes of conjugacy classes of Mathieu simple group M_24 of order 244823040.

1, 2, 2, 3, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 10, 11, 12, 12, 14, 14, 15, 15, 21, 21, 23, 23

Offset

1,2

Comments

Equally, list of orders of elements of Mathieu group M_24.

References

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press, 1985.

Links

Table of n, a(n) for n=1..26.

ATLAS, Mathieu group M24

Example

The conjugacy classes and the orders of their centralizers are:
1A 244823040
2A 21504
2B 7680
3A 1080
3B 504
4A 384
4B 128
4C 96
5A 60
6A 24
6B 24
7A 42
7B 42
8A 16
10A 20
11A 11
12A 12
12B 12
14A 14
14B 14
15A 15
15B 15
21A 21
21B 21
23A 23
23B 23

Crossrefs

Cf. A146073, A146074.

Sequence in context: A255232 A181988 A194173 * A326492 A132924 A076890

Adjacent sequences: A028822 A028823 A028824 * A028826 A028827 A028828

Keyword

nonn,fini,full

Author

N. J. A. Sloane. Entry revised Apr 07 2009

Status

approved