Groups of Size 288

This page is part of the Atlas of Small Regular Polytopes
23 groups yielding 61 nondegenerate and 196 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 36 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 24 nondegenerate and 57 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 81 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 46 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 10 degenerate.

Groups :
  1. SmallGroup(288,6) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(288,92) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(288,114) 0 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(288,120) 2 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(288,334) 4 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(288,340) 2 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(288,354) 0 nondegenerate polytopes and 3 degenerate polytopes.
  8. SmallGroup(288,356) 0 nondegenerate polytopes and 12 degenerate polytopes.
  9. SmallGroup(288,441) 4 nondegenerate polytopes and 2 degenerate polytopes.
  10. SmallGroup(288,571) 3 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(288,574) 4 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(288,835) 2 nondegenerate polytopes and 18 degenerate polytopes.
  13. SmallGroup(288,836) 1 nondegenerate polytope and 0 degenerate polytopes.
  14. SmallGroup(288,839) 0 nondegenerate polytopes and 9 degenerate polytopes.
  15. SmallGroup(288,847) 4 nondegenerate polytopes and 0 degenerate polytopes.
  16. SmallGroup(288,873) 2 nondegenerate polytopes and 0 degenerate polytopes.
  17. SmallGroup(288,889) 5 nondegenerate polytopes and 0 degenerate polytopes.
  18. SmallGroup(288,951) 0 nondegenerate polytopes and 16 degenerate polytopes.
  19. SmallGroup(288,958) 5 nondegenerate polytopes and 11 degenerate polytopes.
  20. SmallGroup(288,977) 2 nondegenerate polytopes and 8 degenerate polytopes.
  21. SmallGroup(288,1028) 18 nondegenerate polytopes and 56 degenerate polytopes.
  22. SmallGroup(288,1031) 0 nondegenerate polytopes and 15 degenerate polytopes.
  23. SmallGroup(288,1040) 0 nondegenerate polytopes and 42 degenerate polytopes.