“Those who do not learn from history are doomed to repeat it”
-- George Santayana
I'll list only the summary here, but strongly recommend viewing the dry, but deep discourse presented in "Nietzsche and the Nazis" to better understand the principles behind the words below.
Nazi principles: Freedom Principles:
Collectivism Individualism
Instinct, Passion Reason
War / Zero-sum conflict Production/Win-win trade
Authoritarianism Liberalism
Socialism Capitalism