Questions?
See the FAQ
or other info.

Groups of Size 512

This page is part of the Atlas of Small Regular Polytopes
99 groups yielding 134 nondegenerate and 226 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 85 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 47 nondegenerate and 77 degenerate.
Rank 5 Polytopes : 1 nondegenerate and 72 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 46 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 21 degenerate.
Rank 8 Polytopes : 0 nondegenerate and 7 degenerate.
Rank 9 Polytopes : 0 nondegenerate and 1 degenerate.

Groups :
  1. SmallGroup(512,2042) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(512,30167) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(512,30247) 2 nondegenerate polytopes and 0 degenerate polytopes.
  4. SmallGroup(512,30287) 2 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(512,30471) 3 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(512,30507) 3 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(512,30527) 6 nondegenerate polytopes and 0 degenerate polytopes.
  8. SmallGroup(512,32832) 2 nondegenerate polytopes and 0 degenerate polytopes.
  9. SmallGroup(512,32838) 2 nondegenerate polytopes and 0 degenerate polytopes.
  10. SmallGroup(512,32840) 2 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(512,32843) 2 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(512,32847) 1 nondegenerate polytope and 0 degenerate polytopes.
  13. SmallGroup(512,32848) 1 nondegenerate polytope and 0 degenerate polytopes.
  14. SmallGroup(512,32850) 1 nondegenerate polytope and 0 degenerate polytopes.
  15. SmallGroup(512,58326) 3 nondegenerate polytopes and 0 degenerate polytopes.
  16. SmallGroup(512,58328) 3 nondegenerate polytopes and 0 degenerate polytopes.
  17. SmallGroup(512,58330) 2 nondegenerate polytopes and 0 degenerate polytopes.
  18. SmallGroup(512,58338) 6 nondegenerate polytopes and 0 degenerate polytopes.
  19. SmallGroup(512,58342) 6 nondegenerate polytopes and 0 degenerate polytopes.
  20. SmallGroup(512,58346) 4 nondegenerate polytopes and 0 degenerate polytopes.
  21. SmallGroup(512,58354) 2 nondegenerate polytopes and 0 degenerate polytopes.
  22. SmallGroup(512,58358) 3 nondegenerate polytopes and 0 degenerate polytopes.
  23. SmallGroup(512,58362) 2 nondegenerate polytopes and 0 degenerate polytopes.
  24. SmallGroup(512,58364) 2 nondegenerate polytopes and 0 degenerate polytopes.
  25. SmallGroup(512,58366) 2 nondegenerate polytopes and 0 degenerate polytopes.
  26. SmallGroup(512,58378) 2 nondegenerate polytopes and 0 degenerate polytopes.
  27. SmallGroup(512,58708) 4 nondegenerate polytopes and 0 degenerate polytopes.
  28. SmallGroup(512,58716) 4 nondegenerate polytopes and 0 degenerate polytopes.
  29. SmallGroup(512,60797) 2 nondegenerate polytopes and 0 degenerate polytopes.
  30. SmallGroup(512,60803) 2 nondegenerate polytopes and 0 degenerate polytopes.
  31. SmallGroup(512,60809) 3 nondegenerate polytopes and 0 degenerate polytopes.
  32. SmallGroup(512,60821) 4 nondegenerate polytopes and 0 degenerate polytopes.
  33. SmallGroup(512,60898) 0 nondegenerate polytopes and 2 degenerate polytopes.
  34. SmallGroup(512,72873) 0 nondegenerate polytopes and 2 degenerate polytopes.
  35. SmallGroup(512,151851) 1 nondegenerate polytope and 0 degenerate polytopes.
  36. SmallGroup(512,151987) 1 nondegenerate polytope and 0 degenerate polytopes.
  37. SmallGroup(512,152421) 1 nondegenerate polytope and 0 degenerate polytopes.
  38. SmallGroup(512,152907) 2 nondegenerate polytopes and 0 degenerate polytopes.
  39. SmallGroup(512,153099) 2 nondegenerate polytopes and 0 degenerate polytopes.
  40. SmallGroup(512,153195) 2 nondegenerate polytopes and 0 degenerate polytopes.
  41. SmallGroup(512,153611) 2 nondegenerate polytopes and 0 degenerate polytopes.
  42. SmallGroup(512,153947) 2 nondegenerate polytopes and 0 degenerate polytopes.
  43. SmallGroup(512,154243) 4 nondegenerate polytopes and 0 degenerate polytopes.
  44. SmallGroup(512,155075) 2 nondegenerate polytopes and 0 degenerate polytopes.
  45. SmallGroup(512,155459) 2 nondegenerate polytopes and 0 degenerate polytopes.
  46. SmallGroup(512,155651) 2 nondegenerate polytopes and 0 degenerate polytopes.
  47. SmallGroup(512,155843) 2 nondegenerate polytopes and 0 degenerate polytopes.
  48. SmallGroup(512,156035) 2 nondegenerate polytopes and 0 degenerate polytopes.
  49. SmallGroup(512,156515) 2 nondegenerate polytopes and 0 degenerate polytopes.
  50. SmallGroup(512,158099) 2 nondegenerate polytopes and 0 degenerate polytopes.
  51. SmallGroup(512,391345) 0 nondegenerate polytopes and 6 degenerate polytopes.
  52. SmallGroup(512,391364) 0 nondegenerate polytopes and 4 degenerate polytopes.
  53. SmallGroup(512,391383) 0 nondegenerate polytopes and 4 degenerate polytopes.
  54. SmallGroup(512,391419) 0 nondegenerate polytopes and 4 degenerate polytopes.
  55. SmallGroup(512,396061) 0 nondegenerate polytopes and 4 degenerate polytopes.
  56. SmallGroup(512,396070) 0 nondegenerate polytopes and 4 degenerate polytopes.
  57. SmallGroup(512,396076) 0 nondegenerate polytopes and 8 degenerate polytopes.
  58. SmallGroup(512,396103) 0 nondegenerate polytopes and 8 degenerate polytopes.
  59. SmallGroup(512,406908) 2 nondegenerate polytopes and 0 degenerate polytopes.
  60. SmallGroup(512,406950) 2 nondegenerate polytopes and 0 degenerate polytopes.
  61. SmallGroup(512,406983) 6 nondegenerate polytopes and 0 degenerate polytopes.
  62. SmallGroup(512,407039) 2 nondegenerate polytopes and 0 degenerate polytopes.
  63. SmallGroup(512,407087) 1 nondegenerate polytope and 0 degenerate polytopes.
  64. SmallGroup(512,407099) 1 nondegenerate polytope and 0 degenerate polytopes.
  65. SmallGroup(512,407112) 2 nondegenerate polytopes and 0 degenerate polytopes.
  66. SmallGroup(512,420016) 0 nondegenerate polytopes and 4 degenerate polytopes.
  67. SmallGroup(512,420034) 0 nondegenerate polytopes and 4 degenerate polytopes.
  68. SmallGroup(512,420049) 0 nondegenerate polytopes and 6 degenerate polytopes.
  69. SmallGroup(512,420067) 0 nondegenerate polytopes and 12 degenerate polytopes.
  70. SmallGroup(512,420085) 0 nondegenerate polytopes and 4 degenerate polytopes.
  71. SmallGroup(512,420505) 0 nondegenerate polytopes and 3 degenerate polytopes.
  72. SmallGroup(512,554852) 1 nondegenerate polytope and 0 degenerate polytopes.
  73. SmallGroup(512,6253529) 0 nondegenerate polytopes and 6 degenerate polytopes.
  74. SmallGroup(512,6255213) 0 nondegenerate polytopes and 9 degenerate polytopes.
  75. SmallGroup(512,6258553) 0 nondegenerate polytopes and 3 degenerate polytopes.
  76. SmallGroup(512,6265552) 0 nondegenerate polytopes and 3 degenerate polytopes.
  77. SmallGroup(512,6344594) 0 nondegenerate polytopes and 2 degenerate polytopes.
  78. SmallGroup(512,6344627) 0 nondegenerate polytopes and 4 degenerate polytopes.
  79. SmallGroup(512,6344656) 0 nondegenerate polytopes and 2 degenerate polytopes.
  80. SmallGroup(512,6344662) 0 nondegenerate polytopes and 4 degenerate polytopes.
  81. SmallGroup(512,6344680) 0 nondegenerate polytopes and 4 degenerate polytopes.
  82. SmallGroup(512,6344809) 0 nondegenerate polytopes and 4 degenerate polytopes.
  83. SmallGroup(512,7529996) 0 nondegenerate polytopes and 6 degenerate polytopes.
  84. SmallGroup(512,7530027) 0 nondegenerate polytopes and 6 degenerate polytopes.
  85. SmallGroup(512,7530050) 0 nondegenerate polytopes and 9 degenerate polytopes.
  86. SmallGroup(512,7530790) 0 nondegenerate polytopes and 6 degenerate polytopes.
  87. SmallGroup(512,7532380) 0 nondegenerate polytopes and 4 degenerate polytopes.
  88. SmallGroup(512,7535005) 0 nondegenerate polytopes and 3 degenerate polytopes.
  89. SmallGroup(512,7536911) 0 nondegenerate polytopes and 6 degenerate polytopes.
  90. SmallGroup(512,10482002) 0 nondegenerate polytopes and 8 degenerate polytopes.
  91. SmallGroup(512,10482003) 0 nondegenerate polytopes and 8 degenerate polytopes.
  92. SmallGroup(512,10482065) 0 nondegenerate polytopes and 4 degenerate polytopes.
  93. SmallGroup(512,10483221) 0 nondegenerate polytopes and 12 degenerate polytopes.
  94. SmallGroup(512,10493045) 0 nondegenerate polytopes and 5 degenerate polytopes.
  95. SmallGroup(512,10493082) 0 nondegenerate polytopes and 5 degenerate polytopes.
  96. SmallGroup(512,10493114) 0 nondegenerate polytopes and 10 degenerate polytopes.
  97. SmallGroup(512,10494181) 0 nondegenerate polytopes and 6 degenerate polytopes.
  98. SmallGroup(512,10494202) 0 nondegenerate polytopes and 7 degenerate polytopes.
  99. SmallGroup(512,10494213) 0 nondegenerate polytopes and 1 degenerate polytope.