Groups of Size 800

This page is part of the Atlas of Small Regular Polytopes
18 groups yielding 32 nondegenerate and 122 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 20 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 11 nondegenerate and 33 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(800,6) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(800,103) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(800,125) 0 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(800,131) 2 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(800,218) 0 nondegenerate polytopes and 3 degenerate polytopes.
  6. SmallGroup(800,220) 0 nondegenerate polytopes and 12 degenerate polytopes.
  7. SmallGroup(800,383) 2 nondegenerate polytopes and 0 degenerate polytopes.
  8. SmallGroup(800,386) 0 nondegenerate polytopes and 9 degenerate polytopes.
  9. SmallGroup(800,570) 4 nondegenerate polytopes and 2 degenerate polytopes.
  10. SmallGroup(800,700) 3 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(800,703) 4 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(800,1042) 2 nondegenerate polytopes and 0 degenerate polytopes.
  13. SmallGroup(800,1058) 5 nondegenerate polytopes and 0 degenerate polytopes.
  14. SmallGroup(800,1127) 0 nondegenerate polytopes and 16 degenerate polytopes.
  15. SmallGroup(800,1134) 5 nondegenerate polytopes and 11 degenerate polytopes.
  16. SmallGroup(800,1153) 2 nondegenerate polytopes and 8 degenerate polytopes.
  17. SmallGroup(800,1201) 0 nondegenerate polytopes and 15 degenerate polytopes.
  18. SmallGroup(800,1208) 0 nondegenerate polytopes and 42 degenerate polytopes.