Groups of Size 768

This page is part of the Atlas of Small Regular Polytopes
183 groups yielding 512 nondegenerate and 1093 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 265 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 228 nondegenerate and 207 degenerate.
Rank 5 Polytopes : 18 nondegenerate and 370 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 291 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 160 degenerate.
Rank 8 Polytopes : 0 nondegenerate and 55 degenerate.
Rank 9 Polytopes : 0 nondegenerate and 8 degenerate.

Groups :
  1. SmallGroup(768,57481) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(768,58267) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(768,81598) 4 nondegenerate polytopes and 0 degenerate polytopes.
  4. SmallGroup(768,81599) 2 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(768,81632) 2 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(768,81633) 2 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(768,81666) 2 nondegenerate polytopes and 0 degenerate polytopes.
  8. SmallGroup(768,81667) 2 nondegenerate polytopes and 0 degenerate polytopes.
  9. SmallGroup(768,81734) 2 nondegenerate polytopes and 0 degenerate polytopes.
  10. SmallGroup(768,81735) 2 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(768,82962) 2 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(768,82963) 2 nondegenerate polytopes and 0 degenerate polytopes.
  13. SmallGroup(768,82982) 2 nondegenerate polytopes and 0 degenerate polytopes.
  14. SmallGroup(768,82983) 2 nondegenerate polytopes and 0 degenerate polytopes.
  15. SmallGroup(768,82993) 2 nondegenerate polytopes and 0 degenerate polytopes.
  16. SmallGroup(768,82994) 4 nondegenerate polytopes and 0 degenerate polytopes.
  17. SmallGroup(768,82995) 2 nondegenerate polytopes and 0 degenerate polytopes.
  18. SmallGroup(768,83049) 2 nondegenerate polytopes and 0 degenerate polytopes.
  19. SmallGroup(768,83050) 4 nondegenerate polytopes and 0 degenerate polytopes.
  20. SmallGroup(768,83051) 2 nondegenerate polytopes and 0 degenerate polytopes.
  21. SmallGroup(768,90208) 2 nondegenerate polytopes and 0 degenerate polytopes.
  22. SmallGroup(768,90209) 2 nondegenerate polytopes and 0 degenerate polytopes.
  23. SmallGroup(768,90242) 2 nondegenerate polytopes and 0 degenerate polytopes.
  24. SmallGroup(768,90243) 2 nondegenerate polytopes and 0 degenerate polytopes.
  25. SmallGroup(768,90280) 4 nondegenerate polytopes and 0 degenerate polytopes.
  26. SmallGroup(768,90281) 2 nondegenerate polytopes and 0 degenerate polytopes.
  27. SmallGroup(768,90301) 4 nondegenerate polytopes and 0 degenerate polytopes.
  28. SmallGroup(768,90302) 4 nondegenerate polytopes and 0 degenerate polytopes.
  29. SmallGroup(768,90303) 4 nondegenerate polytopes and 0 degenerate polytopes.
  30. SmallGroup(768,90328) 2 nondegenerate polytopes and 0 degenerate polytopes.
  31. SmallGroup(768,90329) 2 nondegenerate polytopes and 0 degenerate polytopes.
  32. SmallGroup(768,90609) 2 nondegenerate polytopes and 2 degenerate polytopes.
  33. SmallGroup(768,90611) 0 nondegenerate polytopes and 2 degenerate polytopes.
  34. SmallGroup(768,141629) 4 nondegenerate polytopes and 4 degenerate polytopes.
  35. SmallGroup(768,141633) 0 nondegenerate polytopes and 4 degenerate polytopes.
  36. SmallGroup(768,141634) 0 nondegenerate polytopes and 4 degenerate polytopes.
  37. SmallGroup(768,145169) 6 nondegenerate polytopes and 6 degenerate polytopes.
  38. SmallGroup(768,145173) 0 nondegenerate polytopes and 4 degenerate polytopes.
  39. SmallGroup(768,145174) 0 nondegenerate polytopes and 8 degenerate polytopes.
  40. SmallGroup(768,150681) 2 nondegenerate polytopes and 2 degenerate polytopes.
  41. SmallGroup(768,150684) 0 nondegenerate polytopes and 4 degenerate polytopes.
  42. SmallGroup(768,161912) 1 nondegenerate polytope and 0 degenerate polytopes.
  43. SmallGroup(768,161916) 0 nondegenerate polytopes and 2 degenerate polytopes.
  44. SmallGroup(768,200564) 2 nondegenerate polytopes and 0 degenerate polytopes.
  45. SmallGroup(768,200567) 2 nondegenerate polytopes and 0 degenerate polytopes.
  46. SmallGroup(768,200568) 2 nondegenerate polytopes and 0 degenerate polytopes.
  47. SmallGroup(768,200904) 2 nondegenerate polytopes and 0 degenerate polytopes.
  48. SmallGroup(768,200907) 2 nondegenerate polytopes and 0 degenerate polytopes.
  49. SmallGroup(768,200909) 2 nondegenerate polytopes and 0 degenerate polytopes.
  50. SmallGroup(768,201129) 2 nondegenerate polytopes and 0 degenerate polytopes.
  51. SmallGroup(768,201130) 1 nondegenerate polytope and 0 degenerate polytopes.
  52. SmallGroup(768,201148) 2 nondegenerate polytopes and 0 degenerate polytopes.
  53. SmallGroup(768,201150) 2 nondegenerate polytopes and 0 degenerate polytopes.
  54. SmallGroup(768,201151) 2 nondegenerate polytopes and 0 degenerate polytopes.
  55. SmallGroup(768,201202) 2 nondegenerate polytopes and 0 degenerate polytopes.
  56. SmallGroup(768,201204) 2 nondegenerate polytopes and 0 degenerate polytopes.
  57. SmallGroup(768,201205) 2 nondegenerate polytopes and 0 degenerate polytopes.
  58. SmallGroup(768,201309) 2 nondegenerate polytopes and 0 degenerate polytopes.
  59. SmallGroup(768,201310) 1 nondegenerate polytope and 0 degenerate polytopes.
  60. SmallGroup(768,323301) 4 nondegenerate polytopes and 4 degenerate polytopes.
  61. SmallGroup(768,323305) 0 nondegenerate polytopes and 4 degenerate polytopes.
  62. SmallGroup(768,323306) 0 nondegenerate polytopes and 4 degenerate polytopes.
  63. SmallGroup(768,323449) 4 nondegenerate polytopes and 4 degenerate polytopes.
  64. SmallGroup(768,323453) 0 nondegenerate polytopes and 4 degenerate polytopes.
  65. SmallGroup(768,323454) 0 nondegenerate polytopes and 4 degenerate polytopes.
  66. SmallGroup(768,323566) 6 nondegenerate polytopes and 6 degenerate polytopes.
  67. SmallGroup(768,323570) 0 nondegenerate polytopes and 8 degenerate polytopes.
  68. SmallGroup(768,323571) 0 nondegenerate polytopes and 4 degenerate polytopes.
  69. SmallGroup(768,326216) 2 nondegenerate polytopes and 0 degenerate polytopes.
  70. SmallGroup(768,326222) 0 nondegenerate polytopes and 2 degenerate polytopes.
  71. SmallGroup(768,326223) 0 nondegenerate polytopes and 2 degenerate polytopes.
  72. SmallGroup(768,327682) 0 nondegenerate polytopes and 12 degenerate polytopes.
  73. SmallGroup(768,327684) 0 nondegenerate polytopes and 3 degenerate polytopes.
  74. SmallGroup(768,336970) 2 nondegenerate polytopes and 2 degenerate polytopes.
  75. SmallGroup(768,336974) 0 nondegenerate polytopes and 4 degenerate polytopes.
  76. SmallGroup(768,336975) 0 nondegenerate polytopes and 2 degenerate polytopes.
  77. SmallGroup(768,364857) 2 nondegenerate polytopes and 0 degenerate polytopes.
  78. SmallGroup(768,364861) 0 nondegenerate polytopes and 2 degenerate polytopes.
  79. SmallGroup(768,364865) 0 nondegenerate polytopes and 4 degenerate polytopes.
  80. SmallGroup(768,1035859) 0 nondegenerate polytopes and 24 degenerate polytopes.
  81. SmallGroup(768,1035863) 0 nondegenerate polytopes and 6 degenerate polytopes.
  82. SmallGroup(768,1035864) 0 nondegenerate polytopes and 6 degenerate polytopes.
  83. SmallGroup(768,1036167) 0 nondegenerate polytopes and 24 degenerate polytopes.
  84. SmallGroup(768,1036171) 0 nondegenerate polytopes and 6 degenerate polytopes.
  85. SmallGroup(768,1036172) 0 nondegenerate polytopes and 6 degenerate polytopes.
  86. SmallGroup(768,1036279) 0 nondegenerate polytopes and 12 degenerate polytopes.
  87. SmallGroup(768,1036282) 0 nondegenerate polytopes and 6 degenerate polytopes.
  88. SmallGroup(768,1044755) 0 nondegenerate polytopes and 14 degenerate polytopes.
  89. SmallGroup(768,1044756) 0 nondegenerate polytopes and 4 degenerate polytopes.
  90. SmallGroup(768,1044762) 0 nondegenerate polytopes and 6 degenerate polytopes.
  91. SmallGroup(768,1044763) 0 nondegenerate polytopes and 6 degenerate polytopes.
  92. SmallGroup(768,1076041) 0 nondegenerate polytopes and 24 degenerate polytopes.
  93. SmallGroup(768,1076043) 0 nondegenerate polytopes and 4 degenerate polytopes.
  94. SmallGroup(768,1076197) 0 nondegenerate polytopes and 24 degenerate polytopes.
  95. SmallGroup(768,1076200) 0 nondegenerate polytopes and 8 degenerate polytopes.
  96. SmallGroup(768,1076474) 0 nondegenerate polytopes and 27 degenerate polytopes.
  97. SmallGroup(768,1076475) 0 nondegenerate polytopes and 3 degenerate polytopes.
  98. SmallGroup(768,1076479) 0 nondegenerate polytopes and 12 degenerate polytopes.
  99. SmallGroup(768,1083341) 0 nondegenerate polytopes and 40 degenerate polytopes.
  100. SmallGroup(768,1083343) 0 nondegenerate polytopes and 5 degenerate polytopes.
  101. SmallGroup(768,1083444) 0 nondegenerate polytopes and 60 degenerate polytopes.
  102. SmallGroup(768,1083446) 0 nondegenerate polytopes and 6 degenerate polytopes.
  103. SmallGroup(768,1083472) 0 nondegenerate polytopes and 15 degenerate polytopes.
  104. SmallGroup(768,1085644) 4 nondegenerate polytopes and 0 degenerate polytopes.
  105. SmallGroup(768,1085768) 4 nondegenerate polytopes and 0 degenerate polytopes.
  106. SmallGroup(768,1085833) 6 nondegenerate polytopes and 0 degenerate polytopes.
  107. SmallGroup(768,1086012) 8 nondegenerate polytopes and 0 degenerate polytopes.
  108. SmallGroup(768,1086024) 4 nondegenerate polytopes and 0 degenerate polytopes.
  109. SmallGroup(768,1086051) 7 nondegenerate polytopes and 0 degenerate polytopes.
  110. SmallGroup(768,1086052) 16 nondegenerate polytopes and 0 degenerate polytopes.
  111. SmallGroup(768,1086056) 4 nondegenerate polytopes and 0 degenerate polytopes.
  112. SmallGroup(768,1086301) 6 nondegenerate polytopes and 20 degenerate polytopes.
  113. SmallGroup(768,1086320) 10 nondegenerate polytopes and 0 degenerate polytopes.
  114. SmallGroup(768,1086324) 6 nondegenerate polytopes and 0 degenerate polytopes.
  115. SmallGroup(768,1086329) 7 nondegenerate polytopes and 0 degenerate polytopes.
  116. SmallGroup(768,1086333) 6 nondegenerate polytopes and 0 degenerate polytopes.
  117. SmallGroup(768,1086335) 4 nondegenerate polytopes and 0 degenerate polytopes.
  118. SmallGroup(768,1086577) 2 nondegenerate polytopes and 0 degenerate polytopes.
  119. SmallGroup(768,1086593) 2 nondegenerate polytopes and 0 degenerate polytopes.
  120. SmallGroup(768,1086615) 2 nondegenerate polytopes and 0 degenerate polytopes.
  121. SmallGroup(768,1086641) 2 nondegenerate polytopes and 0 degenerate polytopes.
  122. SmallGroup(768,1086649) 10 nondegenerate polytopes and 0 degenerate polytopes.
  123. SmallGroup(768,1086745) 6 nondegenerate polytopes and 0 degenerate polytopes.
  124. SmallGroup(768,1086857) 4 nondegenerate polytopes and 0 degenerate polytopes.
  125. SmallGroup(768,1086909) 4 nondegenerate polytopes and 0 degenerate polytopes.
  126. SmallGroup(768,1087527) 2 nondegenerate polytopes and 8 degenerate polytopes.
  127. SmallGroup(768,1087581) 18 nondegenerate polytopes and 0 degenerate polytopes.
  128. SmallGroup(768,1087633) 4 nondegenerate polytopes and 0 degenerate polytopes.
  129. SmallGroup(768,1087653) 4 nondegenerate polytopes and 0 degenerate polytopes.
  130. SmallGroup(768,1087715) 3 nondegenerate polytopes and 0 degenerate polytopes.
  131. SmallGroup(768,1087719) 6 nondegenerate polytopes and 0 degenerate polytopes.
  132. SmallGroup(768,1087743) 5 nondegenerate polytopes and 0 degenerate polytopes.
  133. SmallGroup(768,1087745) 3 nondegenerate polytopes and 0 degenerate polytopes.
  134. SmallGroup(768,1087747) 6 nondegenerate polytopes and 0 degenerate polytopes.
  135. SmallGroup(768,1087755) 8 nondegenerate polytopes and 0 degenerate polytopes.
  136. SmallGroup(768,1087779) 6 nondegenerate polytopes and 0 degenerate polytopes.
  137. SmallGroup(768,1087795) 10 nondegenerate polytopes and 0 degenerate polytopes.
  138. SmallGroup(768,1087796) 6 nondegenerate polytopes and 0 degenerate polytopes.
  139. SmallGroup(768,1087808) 6 nondegenerate polytopes and 0 degenerate polytopes.
  140. SmallGroup(768,1088009) 8 nondegenerate polytopes and 0 degenerate polytopes.
  141. SmallGroup(768,1088539) 19 nondegenerate polytopes and 28 degenerate polytopes.
  142. SmallGroup(768,1088551) 8 nondegenerate polytopes and 0 degenerate polytopes.
  143. SmallGroup(768,1088555) 7 nondegenerate polytopes and 0 degenerate polytopes.
  144. SmallGroup(768,1088556) 12 nondegenerate polytopes and 0 degenerate polytopes.
  145. SmallGroup(768,1088561) 2 nondegenerate polytopes and 0 degenerate polytopes.
  146. SmallGroup(768,1088569) 2 nondegenerate polytopes and 8 degenerate polytopes.
  147. SmallGroup(768,1088573) 2 nondegenerate polytopes and 0 degenerate polytopes.
  148. SmallGroup(768,1088585) 10 nondegenerate polytopes and 6 degenerate polytopes.
  149. SmallGroup(768,1088591) 4 nondegenerate polytopes and 0 degenerate polytopes.
  150. SmallGroup(768,1088705) 2 nondegenerate polytopes and 14 degenerate polytopes.
  151. SmallGroup(768,1088763) 10 nondegenerate polytopes and 6 degenerate polytopes.
  152. SmallGroup(768,1088766) 2 nondegenerate polytopes and 8 degenerate polytopes.
  153. SmallGroup(768,1088921) 4 nondegenerate polytopes and 0 degenerate polytopes.
  154. SmallGroup(768,1088927) 4 nondegenerate polytopes and 0 degenerate polytopes.
  155. SmallGroup(768,1089093) 0 nondegenerate polytopes and 30 degenerate polytopes.
  156. SmallGroup(768,1089108) 4 nondegenerate polytopes and 47 degenerate polytopes.
  157. SmallGroup(768,1089114) 0 nondegenerate polytopes and 6 degenerate polytopes.
  158. SmallGroup(768,1089120) 0 nondegenerate polytopes and 4 degenerate polytopes.
  159. SmallGroup(768,1089134) 0 nondegenerate polytopes and 16 degenerate polytopes.
  160. SmallGroup(768,1089137) 0 nondegenerate polytopes and 4 degenerate polytopes.
  161. SmallGroup(768,1089251) 4 nondegenerate polytopes and 20 degenerate polytopes.
  162. SmallGroup(768,1089263) 0 nondegenerate polytopes and 8 degenerate polytopes.
  163. SmallGroup(768,1089270) 6 nondegenerate polytopes and 54 degenerate polytopes.
  164. SmallGroup(768,1089286) 4 nondegenerate polytopes and 0 degenerate polytopes.
  165. SmallGroup(768,1089292) 2 nondegenerate polytopes and 0 degenerate polytopes.
  166. SmallGroup(768,1089307) 4 nondegenerate polytopes and 8 degenerate polytopes.
  167. SmallGroup(768,1089358) 0 nondegenerate polytopes and 12 degenerate polytopes.
  168. SmallGroup(768,1089367) 0 nondegenerate polytopes and 8 degenerate polytopes.
  169. SmallGroup(768,1090070) 4 nondegenerate polytopes and 0 degenerate polytopes.
  170. SmallGroup(768,1090071) 4 nondegenerate polytopes and 0 degenerate polytopes.
  171. SmallGroup(768,1090111) 4 nondegenerate polytopes and 0 degenerate polytopes.
  172. SmallGroup(768,1090143) 0 nondegenerate polytopes and 22 degenerate polytopes.
  173. SmallGroup(768,1090146) 0 nondegenerate polytopes and 138 degenerate polytopes.
  174. SmallGroup(768,1090163) 0 nondegenerate polytopes and 28 degenerate polytopes.
  175. SmallGroup(768,1090168) 0 nondegenerate polytopes and 9 degenerate polytopes.
  176. SmallGroup(768,1090183) 8 nondegenerate polytopes and 2 degenerate polytopes.
  177. SmallGroup(768,1090188) 4 nondegenerate polytopes and 8 degenerate polytopes.
  178. SmallGroup(768,1090195) 6 nondegenerate polytopes and 4 degenerate polytopes.
  179. SmallGroup(768,1090200) 2 nondegenerate polytopes and 0 degenerate polytopes.
  180. SmallGroup(768,1090209) 4 nondegenerate polytopes and 0 degenerate polytopes.
  181. SmallGroup(768,1090220) 4 nondegenerate polytopes and 0 degenerate polytopes.
  182. SmallGroup(768,1090233) 0 nondegenerate polytopes and 70 degenerate polytopes.
  183. SmallGroup(768,1090234) 1 nondegenerate polytope and 32 degenerate polytopes.