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Groups of Size 144

This page is part of the Atlas of Small Regular Polytopes
10 groups yielding 28 nondegenerate and 54 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 23 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 4 nondegenerate and 24 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 22 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 6 degenerate.

Groups :
  1. SmallGroup(144,8) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(144,39) 0 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(144,41) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(144,109) 6 nondegenerate polytopes and 4 degenerate polytopes.
  5. SmallGroup(144,112) 0 nondegenerate polytopes and 7 degenerate polytopes.
  6. SmallGroup(144,144) 4 nondegenerate polytopes and 2 degenerate polytopes.
  7. SmallGroup(144,154) 4 nondegenerate polytopes and 0 degenerate polytopes.
  8. SmallGroup(144,183) 8 nondegenerate polytopes and 6 degenerate polytopes.
  9. SmallGroup(144,186) 3 nondegenerate polytopes and 6 degenerate polytopes.
  10. SmallGroup(144,192) 0 nondegenerate polytopes and 25 degenerate polytopes.