None of that is right. Authoritarianism is not on the Left-Right Spectrum but a spectrum of its own, Authoritarian-Libertarian.
Ok, for the non thinkers out there.
The relationship between the Left and Right is lineal not a quadrant. There's Left annnnnnnnnd Right. The quadrant was a slight of hand to distract from the fact that the big government communists and big government fascists where both leftist statists.
Hitler and Stalin were both big government socialists with cradle to grave welfare, centralised and controlled education and bureaucracy governing everyone's life, how they thought, ate, slept and crapped.
Nothing about the Marxist socialists or hitlers national socialists was on the Right
The Left is big government statist collectivist or fascist. Big government is authoritarian, all the authority is centralised. The only difference between Hilter and Stalin was that the Germans made the means of production a matter for private companies, whereas Stalin had the inefficient state run companies as a means of production.
We have not seen a true Rightwight arrangement anywhere on earth with exception of America's founding times.
Rightwing means less government and more personal liberty and personal responsibility to take the place of government.
Hilter wasn't limited government, he had massive centralised collectivised state control of everything, even those private companies had to cow to every political dogma. There was no personal liberty or personal responsibility, the ministry of propaganda told you how to think, and individualists were shot in the back of the head. Everyone looked to the state in that socialist love fest.
Hitler, Stalin, Mao, Isis are all creatures of leftist, statist mordor.
The Shire of the Hobbits best represents very limited government, where personal liberty and responsibility shines and blooms. You brew your own ale and grow your longbottom leaf, come and go as you please and none would contest your right to do so.
Libertarians are far right, it is the least government around, highest personal liberty, least laws and least taxation. Hitler was none of that, he was a hard leftist socialist.
Hobbits vote conservatarian.