No. This is incorrect. Hitler and Mussolini were fascists. Hitler even downplayed the leftwing aspects of fascism and promoted private enterprise as long it worked towards national interests - such as killing Jews (or &quot;creating the master race&quot;) and waging war (or &quot;creating living space for said master race&quot;). Communists and socialists were heavily persecuted during the holocaust. In fact, they were the first to be pursued by the state.<p>Another thing: those in the Nazi ranks who actually wanted socialism were purged. It&#x27;s called Night of the Long Knives and it&#x27;s a pivot moment in the history of Nazi Germany.<p>It may be confusing because of the whole National Socialism thing. It could be argued that actually that was purely to strike a chord with the type of dissatisified folks who would die for the movement, such as the lower classes that made up the SA.