Groups of Size 1456

This page is part of the Atlas of Small Regular Polytopes
7 groups yielding 7 nondegenerate and 45 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 6 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 0 nondegenerate and 15 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 16 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 12 degenerate.

Groups :
  1. SmallGroup(1456,67) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1456,120) 2 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(1456,121) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(1456,158) 0 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(1456,160) 2 nondegenerate polytopes and 2 degenerate polytopes.
  6. SmallGroup(1456,175) 0 nondegenerate polytopes and 30 degenerate polytopes.
  7. SmallGroup(1456,178) 0 nondegenerate polytopes and 7 degenerate polytopes.