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Groups of Size 1080

This page is part of the Atlas of Small Regular Polytopes
13 groups yielding 48 nondegenerate and 86 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 34 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 13 nondegenerate and 27 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 46 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 11 degenerate.

Groups :
  1. SmallGroup(1080,27) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1080,53) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(1080,57) 2 nondegenerate polytopes and 10 degenerate polytopes.
  4. SmallGroup(1080,61) 0 nondegenerate polytopes and 5 degenerate polytopes.
  5. SmallGroup(1080,263) 6 nondegenerate polytopes and 6 degenerate polytopes.
  6. SmallGroup(1080,283) 6 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(1080,286) 4 nondegenerate polytopes and 10 degenerate polytopes.
  8. SmallGroup(1080,287) 4 nondegenerate polytopes and 8 degenerate polytopes.
  9. SmallGroup(1080,335) 4 nondegenerate polytopes and 14 degenerate polytopes.
  10. SmallGroup(1080,336) 2 nondegenerate polytopes and 10 degenerate polytopes.
  11. SmallGroup(1080,337) 8 nondegenerate polytopes and 12 degenerate polytopes.
  12. SmallGroup(1080,528) 2 nondegenerate polytopes and 0 degenerate polytopes.
  13. SmallGroup(1080,539) 7 nondegenerate polytopes and 11 degenerate polytopes.