Hitler joined the Nazi party very early on (100 or so members). Including socialist in the name was a a way of enticing working class votes from the communist party. Hitler quite literally executed any remaining anti-capitalists in the party in the night of the long knives. Before Hitler was executing jews he very publically executed 1000s of socialists and communists and outlawed socialism.
He was anti union, anti equal human rights, very pro big business and industrialism. Economically there was a focus on private property and big business. He had support from prominant right wing governments, including in America (early on) because he was anti-socialist. He believed in a racial superiority and hierarchy which is the total antithesis to far left ideals of total equality. The whole concept of social darwinism is a far right ideal (only the strong and productive survive, no place for the weak).
Hitler nationalised industry in the early 1930s because the economy was fried. He then passed industry back to private business in the mid 1930s (with the caveat they were not socialists, communists or jewish).
The rewriting of history is being done by prominant right wing personalities and think tanks who are trying to distance nazism from their side of politics (i wonder
why?)
For the record any comparison between hitler and Trump, who is a convicted Rapist and Felon is total rubbish. As is labelling biden a communist