Groups of Size 500

This page is part of the Atlas of Small Regular Polytopes
3 groups yielding 7 nondegenerate and 4 degenerate polytopes.

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

Groups :
  1. SmallGroup(500,4) 1 nondegenerate polytope and 2 degenerate polytopes.
  2. SmallGroup(500,26) 2 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(500,27) 4 nondegenerate polytopes and 0 degenerate polytopes.