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Groups of Size 864

This page is part of the Atlas of Small Regular Polytopes
51 groups yielding 229 nondegenerate and 624 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 92 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 112 nondegenerate and 123 degenerate.
Rank 5 Polytopes : 24 nondegenerate and 240 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 180 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 69 degenerate.
Rank 8 Polytopes : 0 nondegenerate and 10 degenerate.

Groups :
  1. SmallGroup(864,7) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(864,98) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(864,120) 0 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(864,126) 2 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(864,613) 4 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(864,619) 2 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(864,633) 0 nondegenerate polytopes and 3 degenerate polytopes.
  8. SmallGroup(864,635) 0 nondegenerate polytopes and 12 degenerate polytopes.
  9. SmallGroup(864,770) 4 nondegenerate polytopes and 2 degenerate polytopes.
  10. SmallGroup(864,781) 2 nondegenerate polytopes and 2 degenerate polytopes.
  11. SmallGroup(864,814) 6 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(864,1018) 4 nondegenerate polytopes and 0 degenerate polytopes.
  13. SmallGroup(864,1130) 3 nondegenerate polytopes and 0 degenerate polytopes.
  14. SmallGroup(864,1141) 4 nondegenerate polytopes and 0 degenerate polytopes.
  15. SmallGroup(864,1157) 4 nondegenerate polytopes and 0 degenerate polytopes.
  16. SmallGroup(864,1916) 2 nondegenerate polytopes and 18 degenerate polytopes.
  17. SmallGroup(864,1917) 1 nondegenerate polytope and 0 degenerate polytopes.
  18. SmallGroup(864,1920) 0 nondegenerate polytopes and 9 degenerate polytopes.
  19. SmallGroup(864,2202) 2 nondegenerate polytopes and 0 degenerate polytopes.
  20. SmallGroup(864,2215) 2 nondegenerate polytopes and 0 degenerate polytopes.
  21. SmallGroup(864,2225) 4 nondegenerate polytopes and 0 degenerate polytopes.
  22. SmallGroup(864,2265) 6 nondegenerate polytopes and 0 degenerate polytopes.
  23. SmallGroup(864,2282) 14 nondegenerate polytopes and 0 degenerate polytopes.
  24. SmallGroup(864,2437) 0 nondegenerate polytopes and 16 degenerate polytopes.
  25. SmallGroup(864,2438) 0 nondegenerate polytopes and 12 degenerate polytopes.
  26. SmallGroup(864,2455) 2 nondegenerate polytopes and 12 degenerate polytopes.
  27. SmallGroup(864,2462) 8 nondegenerate polytopes and 18 degenerate polytopes.
  28. SmallGroup(864,2470) 7 nondegenerate polytopes and 8 degenerate polytopes.
  29. SmallGroup(864,2501) 2 nondegenerate polytopes and 8 degenerate polytopes.
  30. SmallGroup(864,2511) 2 nondegenerate polytopes and 8 degenerate polytopes.
  31. SmallGroup(864,2800) 4 nondegenerate polytopes and 0 degenerate polytopes.
  32. SmallGroup(864,2919) 1 nondegenerate polytope and 0 degenerate polytopes.
  33. SmallGroup(864,3998) 10 nondegenerate polytopes and 48 degenerate polytopes.
  34. SmallGroup(864,3999) 14 nondegenerate polytopes and 40 degenerate polytopes.
  35. SmallGroup(864,4000) 26 nondegenerate polytopes and 24 degenerate polytopes.
  36. SmallGroup(864,4007) 0 nondegenerate polytopes and 40 degenerate polytopes.
  37. SmallGroup(864,4032) 0 nondegenerate polytopes and 70 degenerate polytopes.
  38. SmallGroup(864,4033) 0 nondegenerate polytopes and 33 degenerate polytopes.
  39. SmallGroup(864,4080) 8 nondegenerate polytopes and 0 degenerate polytopes.
  40. SmallGroup(864,4094) 6 nondegenerate polytopes and 0 degenerate polytopes.
  41. SmallGroup(864,4303) 2 nondegenerate polytopes and 0 degenerate polytopes.
  42. SmallGroup(864,4321) 4 nondegenerate polytopes and 0 degenerate polytopes.
  43. SmallGroup(864,4368) 10 nondegenerate polytopes and 15 degenerate polytopes.
  44. SmallGroup(864,4391) 2 nondegenerate polytopes and 8 degenerate polytopes.
  45. SmallGroup(864,4406) 12 nondegenerate polytopes and 8 degenerate polytopes.
  46. SmallGroup(864,4407) 2 nondegenerate polytopes and 0 degenerate polytopes.
  47. SmallGroup(864,4669) 5 nondegenerate polytopes and 0 degenerate polytopes.
  48. SmallGroup(864,4673) 25 nondegenerate polytopes and 37 degenerate polytopes.
  49. SmallGroup(864,4686) 8 nondegenerate polytopes and 50 degenerate polytopes.
  50. SmallGroup(864,4701) 0 nondegenerate polytopes and 10 degenerate polytopes.
  51. SmallGroup(864,4704) 0 nondegenerate polytopes and 109 degenerate polytopes.