1. national-socialism seams to have equality as a target. But this equality accounts only for a small group of superior people. In case of Hitler that was the aryan, german race.
2. Those points and the reality are two completetly different things
In fact Nazi-Germany was not socialist but capitalist. Rich people and companies became richer. The only people that were expropriated were jews, political enemies and minoritys. The jews were working as slaves until death to provide wealth for a capitalist upper class. Siemens for example increased their turnover by a factor of 5. Single persons became incredible rich. At the same time, the normal citizens of germany had to live under the worst circumstances because of the war. (You would not believe what my grandma experienced...)
The core idea of national-socialism is inhumane. Who ever was not productive like disabled people, or people with mental illnesses(which includes homosexuals etc.) got killed. The Nazis propagated the rule of the strongest and racism. They propagated social darwinism.
That stands completly against everything the left parties in Germany , even socialism, stands for. The main target is equality and equal oppurtunities for everyone. The main target is a humane society. One of the main points of our left wing, is to fight any form of facism to prevent anything similiar to Hitler from happening ever again.
The right wing partys are the Heirs of the Nazis. They want to exclude minorities and restrict their rights. They propagate racism.