Facism is not right wing… nor is it the opposite of Communism
True, Hitler was the leader of the NSDAP, which was the National Socialist Party at the time.
Facism and Communism are certainly not polar opposites but to call the Nazi Party socialist or even quasi-socialist is ridiclous. Its like saying that the Liberal Party stands for liberalism when, certainly on social issues, it generally doesnt.
I suggest some reviewing of the history of the Nazi Party and the fact that, amongst Jews, they targeted communists, is in order.
Facism is more closely aligned with the right wing because authoritarianism is the central point of facism, along with the corporatist model of economic organisation. Sadly, the modern right wing parties have abandoned their early liberlist leanings and, in many respects, are truly just authoritarian parties, hence why it has become common to call conservatives "facists".