A261717 Arrange the 26 sporadic simple groups in increasing order; a(n) = number of sporadic simple groups of which the n-th largest sporadic simple group is a subquotient.

19, 12, 2, 16, 4, 10, 7, 1, 5, 7, 3, 1, 3, 1, 3, 4, 5, 3, 1, 3, 4, 2, 1, 2, 2, 1

Offset: 1

Author

Sven Simon, Charles R Greathouse IV, Franklin T. Adams-Watters, Oct 24 2015

Keywords

• nonn
• fini
• full

Comments

The sum of all elements of the sequence is the same as that of A263447.

Examples

			The sporadic group Fi_23 is a subquotient of the sporadic groups Fi_23 (itself), Fi_24, the Baby Monster and the Monster, so a(21) = 4.
		

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]. Page 238.

Links

• Wikipedia, Sporadic group

Crossrefs

Cf. A001228, A263447.