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Groups of Size 1800

This page is part of the Atlas of Small Regular Polytopes
18 groups yielding 77 nondegenerate and 118 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 56 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 18 nondegenerate and 49 degenerate.
Rank 5 Polytopes : 2 nondegenerate and 55 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 12 degenerate.

Groups :
  1. SmallGroup(1800,27) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1800,41) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(1800,45) 2 nondegenerate polytopes and 10 degenerate polytopes.
  4. SmallGroup(1800,49) 0 nondegenerate polytopes and 5 degenerate polytopes.
  5. SmallGroup(1800,226) 2 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(1800,229) 4 nondegenerate polytopes and 7 degenerate polytopes.
  7. SmallGroup(1800,246) 4 nondegenerate polytopes and 14 degenerate polytopes.
  8. SmallGroup(1800,276) 4 nondegenerate polytopes and 8 degenerate polytopes.
  9. SmallGroup(1800,292) 2 nondegenerate polytopes and 0 degenerate polytopes.
  10. SmallGroup(1800,296) 4 nondegenerate polytopes and 7 degenerate polytopes.
  11. SmallGroup(1800,317) 4 nondegenerate polytopes and 14 degenerate polytopes.
  12. SmallGroup(1800,562) 8 nondegenerate polytopes and 6 degenerate polytopes.
  13. SmallGroup(1800,575) 14 nondegenerate polytopes and 12 degenerate polytopes.
  14. SmallGroup(1800,586) 6 nondegenerate polytopes and 12 degenerate polytopes.
  15. SmallGroup(1800,664) 3 nondegenerate polytopes and 0 degenerate polytopes.
  16. SmallGroup(1800,678) 12 nondegenerate polytopes and 14 degenerate polytopes.
  17. SmallGroup(1800,681) 2 nondegenerate polytopes and 0 degenerate polytopes.
  18. SmallGroup(1800,736) 3 nondegenerate polytopes and 9 degenerate polytopes.