Groups of Size 324

This page is part of the Atlas of Small Regular Polytopes
7 groups yielding 29 nondegenerate and 5 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 24 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 4 nondegenerate and 3 degenerate.

Groups :
  1. SmallGroup(324,4) 1 nondegenerate polytope and 2 degenerate polytopes.
  2. SmallGroup(324,36) 2 nondegenerate polytopes and 1 degenerate polytope.
  3. SmallGroup(324,37) 6 nondegenerate polytopes and 0 degenerate polytopes.
  4. SmallGroup(324,38) 2 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(324,39) 8 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(324,40) 4 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(324,41) 6 nondegenerate polytopes and 0 degenerate polytopes.