Hitler did not believe in Socialism or Communism,Neither did Mosley.,however they were both anti semitic and could accurately be described as fascist.
"Fascists believe that liberal democracy is obsolete, and they regard the complete mobilization of society under a totalitarian one-party state as necessary to prepare a nation for armed conflict and to respond effectively to economic difficulties.[7] Such a state is led by a strong leader—such as a dictator and a martial government composed of the members of the governing fascist party—to forge national unity and maintain a stable and orderly society.[7] Fascism rejects assertions that violence is automatically negative in nature, and views political violence, war, and imperialism as means that can achieve national rejuvenation.[8][9][10][11] Fascists advocate a mixed economy, with the principal goal of achieving autarky through protectionist and interventionist economic policies"