I believe that Hitler and the NAZI Party were Socialists.
The best portrayal of this I’ve found is given from this historian on YouTube.
He cites primary and secondary sources for his material and does a fantastic job capturing the true history of that period - TIKhistory
TIK did a 38 minute video on this topic then when he was attacked be people losing their minds he put a 4 hour video in the same subject.
Here’s the 38 minute video and the 4 hour video after that
https://youtu.be/mLHG4IfYE1w?si=rJlv-s_lENLMCzwz
https://youtu.be/eCkyWBPaTC8?si=GZ5gqJOlT2gt3kUj
Hitler believed that Marx "disguised" Marxism as socialism (which Hitler believes was invented by the Germans). And that real German socialism, unlike Marxism, believes in private property. Unlike Marxism, it involves no negation of individuality and, unlike Marxism, it is purely nationalistic.
In other words, it all depends on how you define the word "socialism."