Nazi = Totalitarian = Authoritarian (wannabe) = traditional rule (chief, monarchy) = the ultimate in Rightism = Conservatism.
Hitler literally wanted to resurrect a glorified mytholigized past based on the ancient history of.... the Aryani of Iran and India! Anything more conservative would literally be a return to the Stone Age, which is the state that Europe was before the Aryan invasion,,,
Socialism is the opposite, a fanciful futuristic utopia where ordinary citizen take control of the economy and goverment, by consensus. An impossible fantasy, yes, but that is what its goal is.