Groups of Size 624

This page is part of the Atlas of Small Regular Polytopes
9 groups yielding 17 nondegenerate and 55 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 16 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 0 nondegenerate and 19 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 22 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 12 degenerate.

Groups :
  1. SmallGroup(624,96) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(624,178) 2 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(624,179) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(624,226) 0 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(624,228) 2 nondegenerate polytopes and 2 degenerate polytopes.
  6. SmallGroup(624,242) 4 nondegenerate polytopes and 6 degenerate polytopes.
  7. SmallGroup(624,245) 6 nondegenerate polytopes and 4 degenerate polytopes.
  8. SmallGroup(624,251) 0 nondegenerate polytopes and 30 degenerate polytopes.
  9. SmallGroup(624,259) 0 nondegenerate polytopes and 7 degenerate polytopes.