Well, ignoring my objections to the methods of this victory, three things are guarenteed:
1. Nazi Germany is utterly despised by large communities of the world. The Slavic survivors in Russia will be fleeing enslavement at best and execution at worst. They are going to hate Nazi Germany to the point where they will seriously contemplate a nuclear exchange against the country; nations like the UK and USA might not be at that level of hatred, but both will previous abuses. Germany will have few friends afield, and the USA and UK will paint Germany Tar Black using their own resources, if Germany's own actions are not sufficient.
2. Germany runs the show in Europe. Barring activity on the sides (Iceland, the UK, Malta and potentially Turkey) Europe is run by friends, puppets, and concubines of the Reich. Nations that allied with Germany will receive a good deal, ones that Germany has opted to leave alone and didn't set off its racial doctrines are going to face harsh controls but survive in a state comparable to East Germany and Soviet Union.
The peoples that Germany does not like? The Jews, the Slavs, and as a coming attraction, the blacks and the Arabs? The question isn't what happens to their states, but what happens to their people. I think that barring an outbreak of sanity in Berlin (don't count on it), these populations will either die a quick death in a death camp or will a slow one on the chain. (Technically, things will happen like Polish, Czech and Russian women will wind up having "German" children--but it'll be a open secret and the slavic identity is on its way out)
3. Germany's actions will lead to its surefire downfall. The indoctrination of youth at the expense of new weapons technology; the persecution of large segments of population based on arbitrary pseudoscience, and less known but perhaps even worse--the staggering corruption of the Nazi Hierarchy--and the system is DOOMED. When the next generation of scientists replaces the ones that grew up in Weimar, Germany has nothing to look forward to. Germany will drive its birthrate higher, but their military industrial complex can not even resort to espionage like the Soviet Union.
Now, the Nazis will make it for a long time. Unlike the Soviet Union, they'd have nationalistic cohesion and so something like Lithuania and Ukraine wanting out isn't going to happen. The Nazis are likely to go down either in a nuclear war against the West, by economic strangulation a la OTL, or because the sociology in place is going to be dystopian.
The last point needs more explanation. What happens in a culture where killing and abusing other human beings is promoted as a positive? Where children sing songs of cutting off the Heads of Jews? This is sociopathic stuff, and its a hard question because it has never been tried. The example of the Cultural Revolution in China is suggestive, but the Chinese were not out to murder their elders, while in Nazi Germany you'd have millions of young men encouraged to kill other people!
I am not sure how this is going to play out, but this could trash the country if it gets out of hand. And given the scale of things like the Holocaust...it may very well get out of hand.