Of course there is no limit to our imagination here.
How about:
Hermansloge (Lodge of Herman - the German name of the leader of the Germanic rebellion against the Roman Empire in 9 AD which virtually stopped all Roman attempts of conquering what is today Germany. Herman was oftentime misused as the "first German to unify the German tribes", especially in nationalistic circles).
or:
Heinrichsloge (Lodge of Heinrich or Henry - Heinrich IV. was a German emperor who is best known for his conflict with the Pope in the 11th century - again misused by nationalistc circles as the emperor who tried to get rid of foreign domination in Germany - though in reality he seems to have been more interested in personal power than the idea of a unified Germany).
or:
Germanische Ahnenliga (League of Germanic Heritage - whatever you want them to think Germanic means)
or:
Rat der Weisen des Kyffhaeuser (Council of the Wise of the Kyffhaeuser - there is an old legend concerning a very powerful German emperor Frederic I. who died on a crusade in the 13th century. The legend says that he is just sleeping underneath the mountain of Kyffhaeuser and will return to save his people when needed most. He was also known as Barbarossa meaning redbeard, yes, just like German invasion plan for the Soviet Union during WWII. Tells us something about his popularity in the mind of the chauvinists).
So you see, lots of fun and potentially evil societies. If they're all nothing for you just invent something fancyful in English and we Krauts will translate it into German for you. :

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