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Groups of Size 1584

This page is part of the Atlas of Small Regular Polytopes
20 groups yielding 56 nondegenerate and 172 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 40 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 15 nondegenerate and 41 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 72 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 45 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 12 degenerate.

Groups :
  1. SmallGroup(1584,67) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1584,113) 2 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(1584,114) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(1584,154) 0 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(1584,156) 2 nondegenerate polytopes and 2 degenerate polytopes.
  6. SmallGroup(1584,364) 2 nondegenerate polytopes and 4 degenerate polytopes.
  7. SmallGroup(1584,366) 6 nondegenerate polytopes and 4 degenerate polytopes.
  8. SmallGroup(1584,368) 0 nondegenerate polytopes and 30 degenerate polytopes.
  9. SmallGroup(1584,373) 0 nondegenerate polytopes and 7 degenerate polytopes.
  10. SmallGroup(1584,417) 4 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(1584,419) 2 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(1584,561) 2 nondegenerate polytopes and 2 degenerate polytopes.
  13. SmallGroup(1584,562) 4 nondegenerate polytopes and 2 degenerate polytopes.
  14. SmallGroup(1584,576) 4 nondegenerate polytopes and 0 degenerate polytopes.
  15. SmallGroup(1584,657) 6 nondegenerate polytopes and 6 degenerate polytopes.
  16. SmallGroup(1584,662) 6 nondegenerate polytopes and 4 degenerate polytopes.
  17. SmallGroup(1584,663) 4 nondegenerate polytopes and 6 degenerate polytopes.
  18. SmallGroup(1584,672) 2 nondegenerate polytopes and 4 degenerate polytopes.
  19. SmallGroup(1584,675) 7 nondegenerate polytopes and 55 degenerate polytopes.
  20. SmallGroup(1584,688) 0 nondegenerate polytopes and 40 degenerate polytopes.