Within each broad category there are "details" and "subdivisions".
Rather than organizing the dead according to style of murder, it's probably best to tally the dead up by national and religious groups. Russians died in the millions. Then there were Jews of many nationalities. They, too, died in the millions. There were Polish people, both Jewish and non-Jewish, and they died in the millions. Even Germans died in the millions toward the end of the war.
Americans died in the hundreds of thousands, as did folks from the United Kingdom and it's dependencies, etc. Specialists can get into what went on in the Far East.
There are people who wish to believe this did not happen. Unfortunately, WWII did happen and it still has consequences.
Absolutely, I agree that any Germans who were on the run from the Nazis or thrown into concentration camps were victims. I'm talking about the Germans who fought for/supported Hitler, though -- were they victims? There's a good argument either way, of course -- as you pointed out, they were brainwashed. But on the other hand, many other people who have lived under regimes that tried to brainwash them have taken up arms against their regime. Most Germans didn't do that. I have to wonder, why not?