%I A066083
%S A066083 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,
%T A066083 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,
%U A066083 1,4,1,5,1,4,1,37,1,2,2,4,1,6,1,51
%N A066083 Number of supersolvable groups of order n.
%C A066083 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.
%D A066083 B. Huppert, Ueber das Produkt von paarweise vertauschbaren zyklischen 
               Gruppen, Math. Z. 58 (1954).
%Y A066083 Cf. A000001, A066085.
%Y A066083 Sequence in context: A159829 A128515 A119569 this_sequence A128644 A000001 
               A146002
%Y A066083 Adjacent sequences: A066080 A066081 A066082 this_sequence A066084 A066085 
               A066086
%K A066083 nonn,nice
%O A066083 1,4
%A A066083 Reiner Martin (reinermartin(AT)hotmail.com), Dec 29 2001