Groups of Size 704

This page is part of the Atlas of Small Regular Polytopes
17 groups yielding 16 nondegenerate and 66 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 12 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 3 nondegenerate and 17 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 24 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 17 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 6 degenerate.

Groups :
  1. SmallGroup(704,5) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(704,264) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(704,273) 2 nondegenerate polytopes and 0 degenerate polytopes.
  4. SmallGroup(704,279) 2 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(704,305) 2 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(704,354) 2 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(704,434) 0 nondegenerate polytopes and 2 degenerate polytopes.
  8. SmallGroup(704,442) 2 nondegenerate polytopes and 2 degenerate polytopes.
  9. SmallGroup(704,937) 0 nondegenerate polytopes and 4 degenerate polytopes.
  10. SmallGroup(704,999) 0 nondegenerate polytopes and 2 degenerate polytopes.
  11. SmallGroup(704,1038) 2 nondegenerate polytopes and 2 degenerate polytopes.
  12. SmallGroup(704,1040) 1 nondegenerate polytope and 0 degenerate polytopes.
  13. SmallGroup(704,1190) 0 nondegenerate polytopes and 3 degenerate polytopes.
  14. SmallGroup(704,1204) 0 nondegenerate polytopes and 12 degenerate polytopes.
  15. SmallGroup(704,1361) 0 nondegenerate polytopes and 4 degenerate polytopes.
  16. SmallGroup(704,1363) 0 nondegenerate polytopes and 24 degenerate polytopes.
  17. SmallGroup(704,1386) 0 nondegenerate polytopes and 11 degenerate polytopes.