%I #6 Mar 30 2012 16:47:09
%S 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
%N List of sizes of conjugacy classes of Mathieu simple group M_24 of order 244823040.
%C Equally, list of orders of elements of Mathieu group M_24.
%D J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press, 1985.
%H ATLAS, <a href="http://brauer.maths.qmul.ac.uk/Atlas/v3/spor/M24/">Mathieu group M24</a>
%e The conjugacy classes and the orders of their centralizers are:
%e 1A 244823040
%e 2A 21504
%e 2B 7680
%e 3A 1080
%e 3B 504
%e 4A 384
%e 4B 128
%e 4C 96
%e 5A 60
%e 6A 24
%e 6B 24
%e 7A 42
%e 7B 42
%e 8A 16
%e 10A 20
%e 11A 11
%e 12A 12
%e 12B 12
%e 14A 14
%e 14B 14
%e 15A 15
%e 15B 15
%e 21A 21
%e 21B 21
%e 23A 23
%e 23B 23
%Y Cf. A146073, A146074.
%K nonn,fini,full
%O 1,2
%A _N. J. A. Sloane_. Entry revised Apr 07 2009
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