A367141 The orders, without repetition, of elements of the Monster simple group.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 50, 51, 52, 54, 55, 56, 57, 59, 60, 62, 66, 68, 69, 70, 71, 78, 84, 87, 88, 92, 93, 94, 95, 104, 105, 110, 119

Offset: 1

Author

Hal M. Switkay, Nov 06 2023

Keywords

• nonn
• fini
• full

Comments

There are 194 conjugacy classes of elements in the Monster. There are 10 conjugacy classes of elements of orders 12 and 24 each, more than for any other order.

a(n) = n for n <= 36. 37 is the smallest natural number not to divide the order of the Monster.

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

• Atlas of Finite Groups, Monster group M.

Crossrefs

Cf. A174670, A366481.