trying to fit nazism in modern concepts of left and right is absolutely retarded, first because the meaning of those words are long gone, secondly because it had aspects of both.
It wasn't socialism but it had, for instance, a strong no-gun policy (which is evidently leftist), also, see the big glorious marchs the nazis loved to do with the soldiers and stuff. You cannot find 1 single flag of germany, only the flag of a political party/ideology, the swastika. This is intrinsically leftist, in any country when the left is protesting they only use flags/colours of a party or an ideology, whereas right wingers. which are patriotic, only use the colours of the national flag. This has been true for ever
See pic for instance, constrast between brazilians right wingers on the left only wearing the colours of our flag, and leftwingers on the right, only using red.