Are All Groups of Order pq Nilpotent When p and q Are Primes?

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characterize primes p and q for which each group of order pq is nilpotent
 
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charlamov said:
characterize primes p and q for which each group of order pq is nilpotent


Hint: A finite group is nilpotent iff it is the direct product of its Sylow subgroups, so this leaves you almost without choice...

DonAntonio