Can you say how to find number of non-abelian groups of order n?
Suppose n is 24 ,then from structure theorem of finite abelian group we know that there are 3 abelian groups.But what can you say about the number of non-abelian groups of order 24?
The following link is a list of number of groups of order n:
http://oeis.org/wiki/Number_of_groups_of_order_n
.But here also they did not mention anything how to find number of non-abelian groups of order n.
Best Answer
The point is, the numbers grow very fast, particularly for prime powers. Look at this list for groups of order $2^{k}$, for $k \le 10$. (I will try and provide a better reference later.)