Groups of Size 1176

This page is part of the Atlas of Small Regular Polytopes
8 groups yielding 21 nondegenerate and 48 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 18 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 2 nondegenerate and 27 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 16 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 3 degenerate.

Groups :
  1. SmallGroup(1176,36) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1176,45) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(1176,49) 2 nondegenerate polytopes and 10 degenerate polytopes.
  4. SmallGroup(1176,55) 0 nondegenerate polytopes and 5 degenerate polytopes.
  5. SmallGroup(1176,225) 6 nondegenerate polytopes and 12 degenerate polytopes.
  6. SmallGroup(1176,234) 2 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(1176,237) 4 nondegenerate polytopes and 7 degenerate polytopes.
  8. SmallGroup(1176,265) 4 nondegenerate polytopes and 14 degenerate polytopes.