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Groups of Size 256

This page is part of the Atlas of Small Regular Polytopes
43 groups yielding 48 nondegenerate and 85 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 37 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 10 nondegenerate and 32 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 29 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 15 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 6 degenerate.
Rank 8 Polytopes : 0 nondegenerate and 1 degenerate.

Groups :
  1. SmallGroup(256,539) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(256,722) 1 nondegenerate polytope and 0 degenerate polytopes.
  3. SmallGroup(256,5078) 3 nondegenerate polytopes and 0 degenerate polytopes.
  4. SmallGroup(256,5084) 2 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(256,5090) 2 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(256,5102) 2 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(256,5298) 2 nondegenerate polytopes and 0 degenerate polytopes.
  8. SmallGroup(256,5302) 2 nondegenerate polytopes and 0 degenerate polytopes.
  9. SmallGroup(256,5304) 4 nondegenerate polytopes and 0 degenerate polytopes.
  10. SmallGroup(256,5312) 4 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(256,6649) 2 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(256,6655) 2 nondegenerate polytopes and 0 degenerate polytopes.
  13. SmallGroup(256,6661) 3 nondegenerate polytopes and 0 degenerate polytopes.
  14. SmallGroup(256,6665) 6 nondegenerate polytopes and 0 degenerate polytopes.
  15. SmallGroup(256,6669) 2 nondegenerate polytopes and 0 degenerate polytopes.
  16. SmallGroup(256,6726) 0 nondegenerate polytopes and 2 degenerate polytopes.
  17. SmallGroup(256,11082) 0 nondegenerate polytopes and 4 degenerate polytopes.
  18. SmallGroup(256,11462) 0 nondegenerate polytopes and 6 degenerate polytopes.
  19. SmallGroup(256,11966) 0 nondegenerate polytopes and 2 degenerate polytopes.
  20. SmallGroup(256,12955) 0 nondegenerate polytopes and 1 degenerate polytope.
  21. SmallGroup(256,16836) 2 nondegenerate polytopes and 0 degenerate polytopes.
  22. SmallGroup(256,16864) 2 nondegenerate polytopes and 0 degenerate polytopes.
  23. SmallGroup(256,16885) 1 nondegenerate polytope and 0 degenerate polytopes.
  24. SmallGroup(256,16888) 2 nondegenerate polytopes and 0 degenerate polytopes.
  25. SmallGroup(256,16894) 2 nondegenerate polytopes and 0 degenerate polytopes.
  26. SmallGroup(256,16906) 1 nondegenerate polytope and 0 degenerate polytopes.
  27. SmallGroup(256,26498) 0 nondegenerate polytopes and 4 degenerate polytopes.
  28. SmallGroup(256,26516) 0 nondegenerate polytopes and 4 degenerate polytopes.
  29. SmallGroup(256,26531) 0 nondegenerate polytopes and 6 degenerate polytopes.
  30. SmallGroup(256,26833) 0 nondegenerate polytopes and 2 degenerate polytopes.
  31. SmallGroup(256,26963) 0 nondegenerate polytopes and 3 degenerate polytopes.
  32. SmallGroup(256,27633) 0 nondegenerate polytopes and 2 degenerate polytopes.
  33. SmallGroup(256,29080) 0 nondegenerate polytopes and 2 degenerate polytopes.
  34. SmallGroup(256,53335) 0 nondegenerate polytopes and 6 degenerate polytopes.
  35. SmallGroup(256,53366) 0 nondegenerate polytopes and 6 degenerate polytopes.
  36. SmallGroup(256,53380) 0 nondegenerate polytopes and 3 degenerate polytopes.
  37. SmallGroup(256,54027) 0 nondegenerate polytopes and 6 degenerate polytopes.
  38. SmallGroup(256,55613) 0 nondegenerate polytopes and 4 degenerate polytopes.
  39. SmallGroup(256,55643) 0 nondegenerate polytopes and 4 degenerate polytopes.
  40. SmallGroup(256,55683) 0 nondegenerate polytopes and 6 degenerate polytopes.
  41. SmallGroup(256,56065) 0 nondegenerate polytopes and 5 degenerate polytopes.
  42. SmallGroup(256,56083) 0 nondegenerate polytopes and 6 degenerate polytopes.
  43. SmallGroup(256,56092) 0 nondegenerate polytopes and 1 degenerate polytope.