Groups of Size 72

This page is part of the Atlas of Small Regular Polytopes
5 groups yielding 9 nondegenerate and 14 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 8 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 0 nondegenerate and 9 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 3 degenerate.

Groups :
  1. SmallGroup(72,6) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(72,15) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(72,17) 0 nondegenerate polytopes and 5 degenerate polytopes.
  4. SmallGroup(72,40) 3 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(72,46) 3 nondegenerate polytopes and 9 degenerate polytopes.