Groups of Size 504

This page is part of the Atlas of Small Regular Polytopes
8 groups yielding 29 nondegenerate and 36 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 26 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 2 nondegenerate and 15 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 16 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 3 degenerate.

Groups :
  1. SmallGroup(504,36) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(504,55) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(504,59) 2 nondegenerate polytopes and 10 degenerate polytopes.
  4. SmallGroup(504,65) 0 nondegenerate polytopes and 5 degenerate polytopes.
  5. SmallGroup(504,156) 14 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(504,169) 2 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(504,172) 4 nondegenerate polytopes and 7 degenerate polytopes.
  8. SmallGroup(504,192) 4 nondegenerate polytopes and 14 degenerate polytopes.