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Groups of Size 1872

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(1872,97) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1872,188) 2 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(1872,189) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(1872,236) 0 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(1872,238) 2 nondegenerate polytopes and 2 degenerate polytopes.
  6. SmallGroup(1872,539) 2 nondegenerate polytopes and 4 degenerate polytopes.
  7. SmallGroup(1872,542) 6 nondegenerate polytopes and 4 degenerate polytopes.
  8. SmallGroup(1872,548) 0 nondegenerate polytopes and 30 degenerate polytopes.
  9. SmallGroup(1872,556) 0 nondegenerate polytopes and 7 degenerate polytopes.
  10. SmallGroup(1872,696) 4 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(1872,698) 2 nondegenerate polytopes and 0 degenerate polytopes.
  12. SmallGroup(1872,907) 2 nondegenerate polytopes and 2 degenerate polytopes.
  13. SmallGroup(1872,908) 4 nondegenerate polytopes and 2 degenerate polytopes.
  14. SmallGroup(1872,922) 4 nondegenerate polytopes and 0 degenerate polytopes.
  15. SmallGroup(1872,1023) 6 nondegenerate polytopes and 6 degenerate polytopes.
  16. SmallGroup(1872,1036) 6 nondegenerate polytopes and 4 degenerate polytopes.
  17. SmallGroup(1872,1037) 4 nondegenerate polytopes and 6 degenerate polytopes.
  18. SmallGroup(1872,1058) 2 nondegenerate polytopes and 4 degenerate polytopes.
  19. SmallGroup(1872,1061) 7 nondegenerate polytopes and 55 degenerate polytopes.
  20. SmallGroup(1872,1084) 0 nondegenerate polytopes and 40 degenerate polytopes.