Hi! Im having an exam in group theory in few days. Ive lost some of my solutions and cant proof this by myself.

There was also a specific example regarding group of order 36=2^2*3^2. With number of sylow 2-subgroups or 3-subgroups being one its simple. But I dont know how proceed when lets say number of sylow 3-subgroups is 4.

If anyone could help me with this problems i would be happy.

-santtu