Groups of Size 840

This page is part of the Atlas of Small Regular Polytopes
8 groups yielding 15 nondegenerate and 47 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 14 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 0 nondegenerate and 15 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 24 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 6 degenerate.

Groups :
  1. SmallGroup(840,128) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(840,137) 6 nondegenerate polytopes and 6 degenerate polytopes.
  3. SmallGroup(840,150) 0 nondegenerate polytopes and 6 degenerate polytopes.
  4. SmallGroup(840,155) 2 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(840,171) 2 nondegenerate polytopes and 10 degenerate polytopes.
  6. SmallGroup(840,173) 2 nondegenerate polytopes and 10 degenerate polytopes.
  7. SmallGroup(840,174) 2 nondegenerate polytopes and 10 degenerate polytopes.
  8. SmallGroup(840,185) 0 nondegenerate polytopes and 5 degenerate polytopes.