Groups of Size 96

This page is part of the Atlas of Small Regular Polytopes
11 groups yielding 17 nondegenerate and 53 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 15 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 1 nondegenerate and 27 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 19 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 5 degenerate.

Groups :
  1. SmallGroup(96,6) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(96,89) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(96,110) 0 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(96,117) 2 nondegenerate polytopes and 2 degenerate polytopes.
  5. SmallGroup(96,187) 4 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(96,193) 4 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(96,207) 0 nondegenerate polytopes and 3 degenerate polytopes.
  8. SmallGroup(96,209) 0 nondegenerate polytopes and 12 degenerate polytopes.
  9. SmallGroup(96,226) 3 nondegenerate polytopes and 25 degenerate polytopes.
  10. SmallGroup(96,227) 1 nondegenerate polytope and 0 degenerate polytopes.
  11. SmallGroup(96,230) 0 nondegenerate polytopes and 9 degenerate polytopes.