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Groups of Size 672

This page is part of the Atlas of Small Regular Polytopes
21 groups yielding 119 nondegenerate and 248 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 105 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 13 nondegenerate and 103 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 70 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 53 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 20 degenerate.

Groups :
  1. SmallGroup(672,220) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(672,392) 2 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(672,396) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(672,620) 2 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(672,947) 2 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(672,968) 0 nondegenerate polytopes and 2 degenerate polytopes.
  7. SmallGroup(672,975) 2 nondegenerate polytopes and 2 degenerate polytopes.
  8. SmallGroup(672,1054) 2 nondegenerate polytopes and 0 degenerate polytopes.
  9. SmallGroup(672,1080) 4 nondegenerate polytopes and 0 degenerate polytopes.
  10. SmallGroup(672,1086) 2 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(672,1140) 0 nondegenerate polytopes and 12 degenerate polytopes.
  12. SmallGroup(672,1141) 0 nondegenerate polytopes and 12 degenerate polytopes.
  13. SmallGroup(672,1150) 6 nondegenerate polytopes and 14 degenerate polytopes.
  14. SmallGroup(672,1235) 0 nondegenerate polytopes and 3 degenerate polytopes.
  15. SmallGroup(672,1237) 0 nondegenerate polytopes and 12 degenerate polytopes.
  16. SmallGroup(672,1254) 81 nondegenerate polytopes and 56 degenerate polytopes.
  17. SmallGroup(672,1260) 10 nondegenerate polytopes and 48 degenerate polytopes.
  18. SmallGroup(672,1263) 2 nondegenerate polytopes and 18 degenerate polytopes.
  19. SmallGroup(672,1265) 1 nondegenerate polytope and 0 degenerate polytopes.
  20. SmallGroup(672,1271) 0 nondegenerate polytopes and 56 degenerate polytopes.
  21. SmallGroup(672,1279) 0 nondegenerate polytopes and 9 degenerate polytopes.