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Groups of Size 1056

This page is part of the Atlas of Small Regular Polytopes
20 groups yielding 38 nondegenerate and 192 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 24 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 13 nondegenerate and 47 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 70 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 53 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 20 degenerate.

Groups :
  1. SmallGroup(1056,158) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1056,235) 2 nondegenerate polytopes and 2 degenerate polytopes.
  3. SmallGroup(1056,240) 2 nondegenerate polytopes and 2 degenerate polytopes.
  4. SmallGroup(1056,463) 2 nondegenerate polytopes and 0 degenerate polytopes.
  5. SmallGroup(1056,759) 2 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(1056,779) 0 nondegenerate polytopes and 2 degenerate polytopes.
  7. SmallGroup(1056,786) 2 nondegenerate polytopes and 2 degenerate polytopes.
  8. SmallGroup(1056,857) 2 nondegenerate polytopes and 0 degenerate polytopes.
  9. SmallGroup(1056,882) 4 nondegenerate polytopes and 0 degenerate polytopes.
  10. SmallGroup(1056,888) 2 nondegenerate polytopes and 0 degenerate polytopes.
  11. SmallGroup(1056,916) 0 nondegenerate polytopes and 12 degenerate polytopes.
  12. SmallGroup(1056,917) 0 nondegenerate polytopes and 12 degenerate polytopes.
  13. SmallGroup(1056,926) 6 nondegenerate polytopes and 14 degenerate polytopes.
  14. SmallGroup(1056,996) 0 nondegenerate polytopes and 3 degenerate polytopes.
  15. SmallGroup(1056,998) 0 nondegenerate polytopes and 12 degenerate polytopes.
  16. SmallGroup(1056,1015) 10 nondegenerate polytopes and 48 degenerate polytopes.
  17. SmallGroup(1056,1017) 2 nondegenerate polytopes and 18 degenerate polytopes.
  18. SmallGroup(1056,1019) 1 nondegenerate polytope and 0 degenerate polytopes.
  19. SmallGroup(1056,1022) 0 nondegenerate polytopes and 56 degenerate polytopes.
  20. SmallGroup(1056,1027) 0 nondegenerate polytopes and 9 degenerate polytopes.