Groups of Size 720

This page is part of the Atlas of Small Regular Polytopes
24 groups yielding 148 nondegenerate and 258 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 108 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 38 nondegenerate and 57 degenerate.
Rank 5 Polytopes : 1 nondegenerate and 122 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 65 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 12 degenerate.

Groups :
  1. SmallGroup(720,69) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(720,136) 2 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(720,137) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(720,177) 0 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(720,179) 2 nondegenerate polytopes and 2 degenerate polytopes.
  6. SmallGroup(720,394) 2 nondegenerate polytopes and 4 degenerate polytopes.
  7. SmallGroup(720,397) 6 nondegenerate polytopes and 4 degenerate polytopes.
  8. SmallGroup(720,402) 0 nondegenerate polytopes and 30 degenerate polytopes.
  9. SmallGroup(720,407) 0 nondegenerate polytopes and 7 degenerate polytopes.
  10. SmallGroup(720,500) 4 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(720,502) 2 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(720,672) 2 nondegenerate polytopes and 2 degenerate polytopes.
  13. SmallGroup(720,673) 4 nondegenerate polytopes and 2 degenerate polytopes.
  14. SmallGroup(720,687) 4 nondegenerate polytopes and 0 degenerate polytopes.
  15. SmallGroup(720,763) 11 nondegenerate polytopes and 0 degenerate polytopes.
  16. SmallGroup(720,764) 24 nondegenerate polytopes and 0 degenerate polytopes.
  17. SmallGroup(720,767) 29 nondegenerate polytopes and 16 degenerate polytopes.
  18. SmallGroup(720,771) 28 nondegenerate polytopes and 70 degenerate polytopes.
  19. SmallGroup(720,784) 6 nondegenerate polytopes and 6 degenerate polytopes.
  20. SmallGroup(720,793) 6 nondegenerate polytopes and 4 degenerate polytopes.
  21. SmallGroup(720,794) 4 nondegenerate polytopes and 6 degenerate polytopes.
  22. SmallGroup(720,810) 2 nondegenerate polytopes and 4 degenerate polytopes.
  23. SmallGroup(720,813) 7 nondegenerate polytopes and 55 degenerate polytopes.
  24. SmallGroup(720,831) 0 nondegenerate polytopes and 40 degenerate polytopes.