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Groups of Size 1680

This page is part of the Atlas of Small Regular Polytopes
21 groups yielding 89 nondegenerate and 267 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 70 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 18 nondegenerate and 51 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 116 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 74 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 24 degenerate.

Groups :
  1. SmallGroup(1680,376) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1680,716) 2 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(1680,717) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(1680,770) 2 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(1680,771) 2 nondegenerate polytopes and 2 degenerate polytopes.
  6. SmallGroup(1680,797) 2 nondegenerate polytopes and 2 degenerate polytopes.
  7. SmallGroup(1680,798) 2 nondegenerate polytopes and 2 degenerate polytopes.
  8. SmallGroup(1680,912) 0 nondegenerate polytopes and 2 degenerate polytopes.
  9. SmallGroup(1680,914) 2 nondegenerate polytopes and 2 degenerate polytopes.
  10. SmallGroup(1680,924) 10 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(1680,927) 20 nondegenerate polytopes and 16 degenerate polytopes.
  12. SmallGroup(1680,931) 24 nondegenerate polytopes and 66 degenerate polytopes.
  13. SmallGroup(1680,952) 2 nondegenerate polytopes and 4 degenerate polytopes.
  14. SmallGroup(1680,954) 2 nondegenerate polytopes and 4 degenerate polytopes.
  15. SmallGroup(1680,955) 4 nondegenerate polytopes and 6 degenerate polytopes.
  16. SmallGroup(1680,966) 6 nondegenerate polytopes and 54 degenerate polytopes.
  17. SmallGroup(1680,971) 6 nondegenerate polytopes and 4 degenerate polytopes.
  18. SmallGroup(1680,988) 0 nondegenerate polytopes and 30 degenerate polytopes.
  19. SmallGroup(1680,990) 0 nondegenerate polytopes and 30 degenerate polytopes.
  20. SmallGroup(1680,991) 0 nondegenerate polytopes and 30 degenerate polytopes.
  21. SmallGroup(1680,1004) 0 nondegenerate polytopes and 7 degenerate polytopes.