The notion that National Socialism (and Fascism) were “right-wing” was concocted by the Communists. It is preposterous, of course. Hitler and Mussolini were both Marxists. And one would be hard-pressed to find a classroom anywhere in the world where this Communist canard is not taught.
You are both correct....I was surprised when I learned, only as 45 year old graduate student, that Nazis were called “rightist” and communist “leftist” because they sat on the corresponding right and left sides of the aisle in the Reichstag (before the Nazis burned it down).