The most blatant satire part of the movie (imo) is when the recruiter with the prosthetic arm says “the mobile infantry made me the man I am today” and scoots his chair back revealing both legs missing.

Also near the end when NPH shows up in what is almost a direct copy of an SS uniform. It’s a bit on the nose.

The brilliance of the movie is you follow the main characters who are 100% indoctrinated into this shit. There’s really no voice of reason. Nothing (aside from the whole nazi uniform thing) really screams fash if you’re not paying attention.