Groups of Size 1296

This page is part of the Atlas of Small Regular Polytopes
59 groups yielding 378 nondegenerate and 476 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 216 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 137 nondegenerate and 130 degenerate.
Rank 5 Polytopes : 24 nondegenerate and 216 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 103 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 24 degenerate.
Rank 8 Polytopes : 0 nondegenerate and 1 degenerate.

Groups :
  1. SmallGroup(1296,8) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1296,65) 0 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(1296,67) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(1296,630) 6 nondegenerate polytopes and 4 degenerate polytopes.
  5. SmallGroup(1296,633) 0 nondegenerate polytopes and 7 degenerate polytopes.
  6. SmallGroup(1296,798) 4 nondegenerate polytopes and 2 degenerate polytopes.
  7. SmallGroup(1296,811) 4 nondegenerate polytopes and 0 degenerate polytopes.
  8. SmallGroup(1296,812) 6 nondegenerate polytopes and 0 degenerate polytopes.
  9. SmallGroup(1296,825) 2 nondegenerate polytopes and 2 degenerate polytopes.
  10. SmallGroup(1296,826) 4 nondegenerate polytopes and 2 degenerate polytopes.
  11. SmallGroup(1296,839) 6 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(1296,840) 6 nondegenerate polytopes and 0 degenerate polytopes.
  13. SmallGroup(1296,853) 2 nondegenerate polytopes and 0 degenerate polytopes.
  14. SmallGroup(1296,854) 4 nondegenerate polytopes and 0 degenerate polytopes.
  15. SmallGroup(1296,867) 4 nondegenerate polytopes and 0 degenerate polytopes.
  16. SmallGroup(1296,868) 4 nondegenerate polytopes and 0 degenerate polytopes.
  17. SmallGroup(1296,878) 4 nondegenerate polytopes and 0 degenerate polytopes.
  18. SmallGroup(1296,891) 4 nondegenerate polytopes and 0 degenerate polytopes.
  19. SmallGroup(1296,904) 4 nondegenerate polytopes and 0 degenerate polytopes.
  20. SmallGroup(1296,917) 8 nondegenerate polytopes and 0 degenerate polytopes.
  21. SmallGroup(1296,930) 4 nondegenerate polytopes and 0 degenerate polytopes.
  22. SmallGroup(1296,943) 8 nondegenerate polytopes and 0 degenerate polytopes.
  23. SmallGroup(1296,1780) 4 nondegenerate polytopes and 6 degenerate polytopes.
  24. SmallGroup(1296,1781) 6 nondegenerate polytopes and 4 degenerate polytopes.
  25. SmallGroup(1296,1782) 8 nondegenerate polytopes and 4 degenerate polytopes.
  26. SmallGroup(1296,1783) 6 nondegenerate polytopes and 0 degenerate polytopes.
  27. SmallGroup(1296,1784) 10 nondegenerate polytopes and 0 degenerate polytopes.
  28. SmallGroup(1296,1785) 8 nondegenerate polytopes and 0 degenerate polytopes.
  29. SmallGroup(1296,1786) 10 nondegenerate polytopes and 0 degenerate polytopes.
  30. SmallGroup(1296,1787) 8 nondegenerate polytopes and 0 degenerate polytopes.
  31. SmallGroup(1296,1788) 12 nondegenerate polytopes and 0 degenerate polytopes.
  32. SmallGroup(1296,1789) 10 nondegenerate polytopes and 0 degenerate polytopes.
  33. SmallGroup(1296,1790) 12 nondegenerate polytopes and 0 degenerate polytopes.
  34. SmallGroup(1296,1813) 3 nondegenerate polytopes and 6 degenerate polytopes.
  35. SmallGroup(1296,1857) 0 nondegenerate polytopes and 25 degenerate polytopes.
  36. SmallGroup(1296,1858) 2 nondegenerate polytopes and 34 degenerate polytopes.
  37. SmallGroup(1296,1859) 0 nondegenerate polytopes and 40 degenerate polytopes.
  38. SmallGroup(1296,1860) 2 nondegenerate polytopes and 44 degenerate polytopes.
  39. SmallGroup(1296,1861) 0 nondegenerate polytopes and 20 degenerate polytopes.
  40. SmallGroup(1296,1862) 0 nondegenerate polytopes and 30 degenerate polytopes.
  41. SmallGroup(1296,2007) 4 nondegenerate polytopes and 0 degenerate polytopes.
  42. SmallGroup(1296,2020) 4 nondegenerate polytopes and 0 degenerate polytopes.
  43. SmallGroup(1296,2061) 8 nondegenerate polytopes and 0 degenerate polytopes.
  44. SmallGroup(1296,2077) 4 nondegenerate polytopes and 0 degenerate polytopes.
  45. SmallGroup(1296,2908) 8 nondegenerate polytopes and 6 degenerate polytopes.
  46. SmallGroup(1296,2909) 24 nondegenerate polytopes and 16 degenerate polytopes.
  47. SmallGroup(1296,2976) 2 nondegenerate polytopes and 4 degenerate polytopes.
  48. SmallGroup(1296,2977) 3 nondegenerate polytopes and 6 degenerate polytopes.
  49. SmallGroup(1296,2978) 4 nondegenerate polytopes and 8 degenerate polytopes.
  50. SmallGroup(1296,2984) 12 nondegenerate polytopes and 81 degenerate polytopes.
  51. SmallGroup(1296,2985) 20 nondegenerate polytopes and 72 degenerate polytopes.
  52. SmallGroup(1296,3490) 25 nondegenerate polytopes and 0 degenerate polytopes.
  53. SmallGroup(1296,3492) 32 nondegenerate polytopes and 24 degenerate polytopes.
  54. SmallGroup(1296,3509) 3 nondegenerate polytopes and 0 degenerate polytopes.
  55. SmallGroup(1296,3528) 9 nondegenerate polytopes and 0 degenerate polytopes.
  56. SmallGroup(1296,3529) 12 nondegenerate polytopes and 4 degenerate polytopes.
  57. SmallGroup(1296,3531) 4 nondegenerate polytopes and 0 degenerate polytopes.
  58. SmallGroup(1296,3538) 10 nondegenerate polytopes and 19 degenerate polytopes.
  59. SmallGroup(1296,3585) 2 nondegenerate polytopes and 2 degenerate polytopes.