As others have mentioned, the notion that Nazi's were not right-wing because they had the word "socialist" in the name really need to come to terms that self-descirptions are not always true or accurate. Like Progressive Conservative, or how North Korea calls itself the The Democratic People's Republic of Korea (or East Germany calling itself the German Democratic Republic). Not a huge amount of democracy in either of those two examples...
But, I get it, nobody wants to be compared to the Nazi's, who basically denied people due process and just deport them to prisons in other countries....Or try to restrict the free press and only providing info to "approved" news sources...
Let's face the fact; right-leaning folks don't like being called fascists, so they try to imply that Hitler was a socialist and left-leaning, despite all the evidence contrary to that. They just want to blame the left for all the issues, and pretend that the extreme right-wing are just angels who only do good for the world...