A066083 Number of supersolvable groups of order n.

1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 4, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 12, 2, 2, 5, 4, 1, 4, 1, 51, 1, 2, 1, 11, 1, 2, 2, 14, 1, 6, 1, 4, 2, 2, 1, 42, 2, 5, 1, 5, 1, 15, 2, 12, 2, 2, 1, 11, 1, 2, 4, 267, 1, 4, 1, 5, 1, 4, 1, 37, 1, 2, 2, 4, 1, 6, 1, 51

Offset

1,4

Comments

A finite group is supersolvable if it has a normal series with cyclic factors. Huppert showed that a finite group is supersolvable iff the index of any maximal subgroup is prime.

Links

Table of n, a(n) for n=1..80.

B. Huppert, Über das Produkt von paarweise vertauschbaren zyklischen Gruppen, Math. Z. 58 (1954).

Crossrefs

Cf. A000001, A066085.

Sequence in context: A332489 A119569 A318475 * A128644 A201733 A000001

Adjacent sequences: A066080 A066081 A066082 * A066084 A066085 A066086

Keyword

nonn,nice

Author

Reiner Martin, Dec 29 2001

Status

approved