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

Author

Reiner Martin, Dec 29 2001

Keywords

• nonn
• nice

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

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

Crossrefs

Cf. A000001, A066085.