A366481 - OEIS

%I #43 Jun 14 2024 22:31:11

%S 1,2,3,4,2,6,2,6,2,5,1,10,2,3,4,3,1,5,1,6,4,2,2,10,1,2,2,4,1,7,2,2,2,

%T 1,2,4,0,1,4,4,1,4,0,2,1,4,2,1,0,1,1,2,0,1,1,3,1,0,2,6,0,2,0,0,0,2,0,

%U 1,2,2,2,0,0,0,0,0,0,3,0,0,0,0,0,3

%N Number of conjugacy classes of elements of order n in the Monster group.

%C There are 194 conjugacy classes of elements in the Monster group. The largest terms in this sequence are a(12) = a(24) = 10. a(n) = 0 for all n > 119. n is a term of A367141 if and only if a(n) > 0.

%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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites].

%H Hal M. Switkay, <a href="/A366481/b366481.txt">Table of n, a(n) for n = 1..120</a>

%H Atlas of Finite Groups, <a href="https://brauer.maths.qmul.ac.uk/Atlas/v3/spor/M/">Monster group M</a>.

%Y Cf. A367141.

%K nonn,fini,full

%O 1,2

%A _Hal M. Switkay_, Nov 13 2023