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 :
  1. SmallGroup(64,52) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(64,128) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(64,134) 2 nondegenerate polytopes and 0 degenerate polytopes.
  4. SmallGroup(64,138) 1 nondegenerate polytope and 0 degenerate polytopes.
  5. SmallGroup(64,186) 0 nondegenerate polytopes and 2 degenerate polytopes.
  6. SmallGroup(64,202) 0 nondegenerate polytopes and 2 degenerate polytopes.
  7. SmallGroup(64,226) 0 nondegenerate polytopes and 1 degenerate polytope.
  8. SmallGroup(64,250) 0 nondegenerate polytopes and 3 degenerate polytopes.
  9. SmallGroup(64,261) 0 nondegenerate polytopes and 4 degenerate polytopes.
  10. SmallGroup(64,267) 0 nondegenerate polytopes and 1 degenerate polytope.