Groups of Size 1568

This page is part of the Atlas of Small Regular Polytopes
18 groups yielding 36 nondegenerate and 134 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 24 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 11 nondegenerate and 45 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 49 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 28 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 10 degenerate.

Groups :
  1. SmallGroup(1568,6) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1568,78) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(1568,99) 0 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(1568,105) 2 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(1568,179) 0 nondegenerate polytopes and 3 degenerate polytopes.
  6. SmallGroup(1568,181) 0 nondegenerate polytopes and 12 degenerate polytopes.
  7. SmallGroup(1568,342) 0 nondegenerate polytopes and 9 degenerate polytopes.
  8. SmallGroup(1568,397) 4 nondegenerate polytopes and 2 degenerate polytopes.
  9. SmallGroup(1568,527) 3 nondegenerate polytopes and 0 degenerate polytopes.
  10. SmallGroup(1568,530) 4 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(1568,805) 2 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(1568,821) 5 nondegenerate polytopes and 0 degenerate polytopes.
  13. SmallGroup(1568,851) 0 nondegenerate polytopes and 16 degenerate polytopes.
  14. SmallGroup(1568,858) 5 nondegenerate polytopes and 11 degenerate polytopes.
  15. SmallGroup(1568,877) 2 nondegenerate polytopes and 8 degenerate polytopes.
  16. SmallGroup(1568,917) 6 nondegenerate polytopes and 12 degenerate polytopes.
  17. SmallGroup(1568,921) 0 nondegenerate polytopes and 15 degenerate polytopes.
  18. SmallGroup(1568,925) 0 nondegenerate polytopes and 42 degenerate polytopes.