# Constructing Non Abelian Groups of Given order

Motivating factor behind this question is the comments which are given for this question asked some hours ago http://math.stackexchange.com/questions/6538/group-of-order-105

So given a group $G$ of order $n$ what are the different methods for constructing a non abelian group of order $n$. Well, i have seen a method which Herstein uses in his book. He takes a cyclic group of given order and defines an Automorphism on the cyclic group and then places some restrictions.

I would like to know, whether there are anymore methods for obtaining a Non Abelian group of a given order.

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–  Robin Chapman Oct 11 '10 at 18:37
–  Arturo Magidin Oct 11 '10 at 21:09