Groups of Size 216

This page is part of the Atlas of Small Regular Polytopes
8 groups yielding 26 nondegenerate and 32 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 20 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 5 nondegenerate and 17 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 12 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 1 degenerate.

Groups :
  1. SmallGroup(216,6) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(216,21) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(216,23) 0 nondegenerate polytopes and 5 degenerate polytopes.
  4. SmallGroup(216,87) 8 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(216,101) 4 nondegenerate polytopes and 14 degenerate polytopes.
  6. SmallGroup(216,102) 5 nondegenerate polytopes and 8 degenerate polytopes.
  7. SmallGroup(216,159) 2 nondegenerate polytopes and 0 degenerate polytopes.
  8. SmallGroup(216,162) 4 nondegenerate polytopes and 5 degenerate polytopes.