One of the symmetry groups of the Platonic solids. There are three polyhedral groups: the tetrahedral group of order 12, the octahedral group of order 24, and the icosahedral group of order 60.

Coxeter, H. S. M. "The Polyhedral Groups." §3.5 in Regular Polytopes, 3rd ed. New York: Dover, pp. 46-47, 1973.

Pegg, E. "Making Polyhedra with Polyhedral Group." http://library.wolfram.com/infocenter/MathSource/4807/.

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Weisstein, Eric W. "Polyhedral Group." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/PolyhedralGroup.html