Icosahedral Group

The Group $I_h$ of symmetries of the Icosahedron and Dodecahedron. The icosahedral group consists of the symmetry operations $E$, $12C_5$, $12C_5^2$, $20C_3$, $15C_2$, $i$, $12S_{10}$, $12S_{10}^3$, $20S_6$, and $15\sigma$ (Cotton 1990).

See also Dodecahedron, Icosahedron, Octahedral Group, Tetrahedral Group

References

Cotton, F. A. Chemical Applications of Group Theory, 3rd ed. New York: Wiley, p. 48-50, 1990.

Lomont, J. S. ``Icosahedral Group.'' §3.10.E in Applications of Finite Groups. New York: Dover, p. 82, 1987.