Hitler and the socialist dream
He declared that ‘national socialism was based on Marx’ Socialists have always disowned him. But a new book insists that he was, at heart, a left-winger
https://www.independent.co.uk/arts-entertainment/hitler-and-the-socialist-dream-1186455.html
So yes, Hitler wasn't a traditional rightist, but he didn't quite fit in with the left. In some ways he's an asterisk figure who shows how the simple left-right spectrum doesn't account for everything that happens in politics. What's left and what's right changes over time and some politicians have combined left-wing and right-wing attitudes to produce some strange and terrible hybrids.