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Groups of Size 64
This page is part of the Atlas of Small Regular Polytopes
10 groups yielding 6 nondegenerate and 13 degenerate polytopes.
Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 5 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 0 nondegenerate and 6 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 4 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 1 degenerate.
Groups : 
- SmallGroup(64,52) 1 nondegenerate polytope and 
 0 degenerate polytopes.
 - SmallGroup(64,128) 2 nondegenerate polytopes and 
 0 degenerate polytopes.
 - SmallGroup(64,134) 2 nondegenerate polytopes and 
 0 degenerate polytopes.
 - SmallGroup(64,138) 1 nondegenerate polytope and 
 0 degenerate polytopes.
 - SmallGroup(64,186) 0 nondegenerate polytopes and 
 2 degenerate polytopes.
 - SmallGroup(64,202) 0 nondegenerate polytopes and 
 2 degenerate polytopes.
 - SmallGroup(64,226) 0 nondegenerate polytopes and 
 1 degenerate polytope.
 - SmallGroup(64,250) 0 nondegenerate polytopes and 
 3 degenerate polytopes.
 - SmallGroup(64,261) 0 nondegenerate polytopes and 
 4 degenerate polytopes.
 - SmallGroup(64,267) 0 nondegenerate polytopes and 
 1 degenerate polytope.