Groups of Size 240

This page is part of the Atlas of Small Regular Polytopes
11 groups yielding 59 nondegenerate and 110 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 55 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 3 nondegenerate and 63 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 33 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 12 degenerate.

Groups :
  1. SmallGroup(240,68) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(240,136) 2 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(240,137) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(240,177) 0 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(240,179) 2 nondegenerate polytopes and 2 degenerate polytopes.
  6. SmallGroup(240,189) 24 nondegenerate polytopes and 16 degenerate polytopes.
  7. SmallGroup(240,190) 18 nondegenerate polytopes and 39 degenerate polytopes.
  8. SmallGroup(240,194) 4 nondegenerate polytopes and 6 degenerate polytopes.
  9. SmallGroup(240,197) 6 nondegenerate polytopes and 4 degenerate polytopes.
  10. SmallGroup(240,202) 0 nondegenerate polytopes and 30 degenerate polytopes.
  11. SmallGroup(240,207) 0 nondegenerate polytopes and 7 degenerate polytopes.