For at least a couple of decades following the war, Nazi Germany's rule would extend over the West and Middle East. The Japanese Empire would've ruled over the Far East. In this case, the U.S. would've had to back out of the War because Germany would have free labour from enslaving the Slavs, an absolute abundance of materials and potentially unrivalled offensive capability. You see, other countries in Europe like Britain were already using radar, which in the 30s/40s/50s, gives a powerful advantage since it's not the norm yet.
This question could roll off many possibilities and would require an extremely lengthy wall of text to answer fully, but the basic summary is that Arabs, Jews, blacks etc. would be treated brutally, and non-Germans treated second to the Germans themselves. The state was very much self-centred, so would've just took advantage of the "outer" and drawn it inward. It's not impossible to think that for those decades at least, kids would grow up learning German and "her" ways. You could view the world as being divided into three superstates (German Empire, Japanese Empire and the US) entering a state of peace (between nations at least). The US wouldn't have a hold like it has had since the beginning of the Cold War, and so, Nazism would reign freely, making racism, slavery etc. the norm.
This all assumes on thing though; that Nazi Germany actually holds out. Even if by way of miracle Germany won the war, the very heart of it all rested on Hitler. A man who was by '45, having a private mental breakdown. Having so much pressure and responsibility on his shoulders made that mentally frail man crack, letting all his childhood traumas - and the facts about himself he refused to accept, come to surface. To win the war would mean to have a huge empire and its maintenance all resting on him, which I believe would've led to his Empire's collapse, or a shaky reign. Eventually, this would come apparent to Tojo in Japan, and I think he would've expressed disgust with his new state of weakness. I fear that seeing the potential, he would've taken advantage of the state of things and further enact his want for colonization. With the Allied powers out of the picture, Japan could take a little time to (as Hitler would say) "digest" what it had already taken; a sort of rest for it to fully acclimatize it's new strength. From there, it could take the Russian Far East that Hitler wasn't interested in along with more of China - taking his time. A Japan with vast accumulated power could overturn the German Empire (esp. in a delicate state) with not too great difficulty. You see, the former had a tightly disciplined regime coupled with impeccable strategic ability; the same set of abilities which saw them overcome enemies who were both vastly superior in numbers and technology. (First Sino-Japanese War being an example, with Japan winning despite having only a 1/3 of the numbers) And if Japan had bloated itself, who knows what they'd want to do with so much land in it's control.
So you see, it all depends.
