NSDAP stands for (translated to English) national socialist German workers party (or, in fractured and almost certainly misspelled German: Nationalisten Socialisten Deutsche Arbeiters Partei).  Howver, once Hitler came to power, he changed his spots and courted the support of the German industrialists and moved more to the "right".  In any event, it was really neither "left" nor "right" as we understand it in a democratic system; it was pure authoritarianism/state control.  Because it allowed private industry (indeed, supported it), compared to the "left" authoritanariasm of Communism (state control of the every aspect of the economy) it is sometimes considered "right" authoritanariansim, i.e. fascism.  Of course, once the war came along (remember it was only 6 years from Hitler's accession to power to the begining of WWII), the govenment was essentially running everything anyway and standard peacetime labels don't apply.