The Nazi party was a well documented and highly authoritarian right wing movement.
you can read more about that here:
Tell that to Albert Einstein.
Quite frankly, you strike me as a person who views everything through some kind of ideological lens.
Wikipedia is not even peer reviewed. Anybody can publish on Wiki. Not reliable at all. My points show that leftism as known in 20th/21st century US politics, is aligned with Nazism very well on most issues like arms ownership, free market capitalism production/sales/labor etc. Private education is respected by right, scorned by left as well as 3rd Reich.
No doubt that leftists always align 3rd Reich with rightism because it's an embarrassment to leftism. History and logic over-rule a silly Wiki article from any random person.
Socialism produces nothing but austerity, hardship, shortages, bare subsistence, and little to no upward mobility for most people. Capitalism produces abundance and high degree of upward mobility for many. It produces way more in terms of goods and services, and high standard of living. The key is to leverage one's talents and apply oneself.
Einstein got it right on relativity, and wrong on economics. He certainly is no authority on the subject. Soviet Union, Nazi Germany, N. Korea, Cambodia/PolPot, China, Cuba, and many others are totalitarian regimes with poverty everywhere. In N. Korea, the average adult height has been steadily decreasing for 2 generations or more due to food shortages. S. Korea has no such problem.
That speaks louder than Einstein merely asserting his preference for socialism. As far as my ideological lens goes, the socialists are very ideologically driven as well. My ideology is proven through history. Capitalism is superior not because I say so, because countries embracing it are far more prosperous and advanced. In capitalist countries, freedom is larger. Socialism by its nature denies the concept of property rights, meaning that people work for the state. Socialism is involuntary servitude and anti-freedom. People who believe in it are enemies of freedom.