A366481 Number of conjugacy classes of elements of order n in the Monster group.

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, 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, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3

Offset: 1

Author

Hal M. Switkay, Nov 13 2023

Keywords

• nonn
• fini
• full

Comments

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.

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

Links

• Hal M. Switkay, Table of n, a(n) for n = 1..120
• Atlas of Finite Groups, Monster group M.

Crossrefs

Cf. A367141.