Conservatives want a small centralized government. Conservatives greatly value individual freedoms, and believe that each person has the right and responsibility to make decisions for himself.
Liberals want a large centralized government, and one that limits individual freedoms ("for the common good"). Liberals do not even see people as individuals, but only as members of some group.
Nazis and Communists believe in none of the conservative ideas, and in all of the liberal ones. Case closed.
I suggest staying with the term 'socialist' as in the other posts.