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

1,2

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

Table of n, a(n) for n=1..73.

Atlas of Finite Groups, Monster group M.

Crossrefs

Cf. A174670, A366481.

Sequence in context: A174670 A212554 A178772 * A296870 A085735 A269393

Adjacent sequences: A367138 A367139 A367140 * A367142 A367143 A367144

Keyword

nonn,fini,full

Author

Hal M. Switkay, Nov 06 2023

Status

approved