Groups of Size 1224

This page is part of the Atlas of Small Regular Polytopes
7 groups yielding 15 nondegenerate and 36 degenerate polytopes.

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

Groups :
  1. SmallGroup(1224,27) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1224,43) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(1224,47) 2 nondegenerate polytopes and 10 degenerate polytopes.
  4. SmallGroup(1224,51) 0 nondegenerate polytopes and 5 degenerate polytopes.
  5. SmallGroup(1224,136) 2 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(1224,139) 4 nondegenerate polytopes and 7 degenerate polytopes.
  7. SmallGroup(1224,156) 4 nondegenerate polytopes and 14 degenerate polytopes.