Groups of Size 1764

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

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 16 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 0 nondegenerate and 7 degenerate.

Groups :
  1. SmallGroup(1764,8) 0 nondegenerate polytopes and 2 degenerate polytopes.
  2. SmallGroup(1764,14) 1 nondegenerate polytope and 2 degenerate polytopes.
  3. SmallGroup(1764,36) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(1764,66) 4 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(1764,83) 2 nondegenerate polytopes and 2 degenerate polytopes.
  6. SmallGroup(1764,146) 6 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(1764,211) 2 nondegenerate polytopes and 1 degenerate polytope.