Groups of Size 784

This page is part of the Atlas of Small Regular Polytopes
9 groups yielding 20 nondegenerate and 44 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 17 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 2 nondegenerate and 20 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 16 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 6 degenerate.

Groups :
  1. SmallGroup(784,7) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(784,29) 0 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(784,31) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(784,45) 0 nondegenerate polytopes and 7 degenerate polytopes.
  5. SmallGroup(784,125) 4 nondegenerate polytopes and 2 degenerate polytopes.
  6. SmallGroup(784,135) 4 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(784,161) 6 nondegenerate polytopes and 0 degenerate polytopes.
  8. SmallGroup(784,165) 3 nondegenerate polytopes and 6 degenerate polytopes.
  9. SmallGroup(784,169) 0 nondegenerate polytopes and 25 degenerate polytopes.