Groups of Size 1000

This page is part of the Atlas of Small Regular Polytopes
7 groups yielding 28 nondegenerate and 32 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 22 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 5 nondegenerate and 17 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 12 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 1 degenerate.

Groups :
  1. SmallGroup(1000,6) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1000,13) 0 nondegenerate polytopes and 5 degenerate polytopes.
  3. SmallGroup(1000,92) 12 nondegenerate polytopes and 0 degenerate polytopes.
  4. SmallGroup(1000,105) 4 nondegenerate polytopes and 14 degenerate polytopes.
  5. SmallGroup(1000,106) 5 nondegenerate polytopes and 8 degenerate polytopes.
  6. SmallGroup(1000,179) 2 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(1000,183) 4 nondegenerate polytopes and 5 degenerate polytopes.