OFFSET
1,1
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.
All multiples of non-supersolvable orders are non-supersolvable orders. - Des MacHale, Dec 22 2003
LINKS
B. Huppert, Über das Produkt von paarweise vertauschbaren zyklischen Gruppen, Math. Z. 58 (1954).
Des MacHale and J. Manning, Converse Lagrange Theorem Orders and Supersolvable Orders, Journal of Integer Sequences, 2016, Vol. 19, #16.8.7.
EXAMPLE
a(1)=12 is in the sequence since the alternating group on 4 elements is the smallest group which is not supersolvable.
CROSSREFS
KEYWORD
nonn
AUTHOR
Reiner Martin, Dec 29 2001
EXTENSIONS
More terms from Des MacHale, Dec 22 2003
STATUS
approved