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Groups of Size 648

This page is part of the Atlas of Small Regular Polytopes
17 groups yielding 85 nondegenerate and 95 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 58 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 23 nondegenerate and 57 degenerate.
Rank 5 Polytopes : 3 nondegenerate and 31 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 5 degenerate.

Groups :
  1. SmallGroup(648,6) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(648,41) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(648,43) 0 nondegenerate polytopes and 5 degenerate polytopes.
  4. SmallGroup(648,252) 3 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(648,296) 3 nondegenerate polytopes and 9 degenerate polytopes.
  6. SmallGroup(648,297) 8 nondegenerate polytopes and 12 degenerate polytopes.
  7. SmallGroup(648,298) 4 nondegenerate polytopes and 14 degenerate polytopes.
  8. SmallGroup(648,299) 10 nondegenerate polytopes and 16 degenerate polytopes.
  9. SmallGroup(648,300) 4 nondegenerate polytopes and 8 degenerate polytopes.
  10. SmallGroup(648,301) 6 nondegenerate polytopes and 12 degenerate polytopes.
  11. SmallGroup(648,546) 2 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(648,547) 3 nondegenerate polytopes and 0 degenerate polytopes.
  13. SmallGroup(648,548) 4 nondegenerate polytopes and 0 degenerate polytopes.
  14. SmallGroup(648,554) 7 nondegenerate polytopes and 11 degenerate polytopes.
  15. SmallGroup(648,555) 15 nondegenerate polytopes and 8 degenerate polytopes.
  16. SmallGroup(648,703) 12 nondegenerate polytopes and 0 degenerate polytopes.
  17. SmallGroup(648,734) 1 nondegenerate polytope and 0 degenerate polytopes.