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A028825 List of sizes of conjugacy classes of Mathieu simple group M_24 of order 244823040. 2

%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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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)