The recently measured unexpected neutrino mixing patterns have caused a
resurgence of interest in the study of finite flavor groups with two- and
three-dimensional irreducible representations. This paper details the
mathematics of the two finite simple groups with such representations, the
Icosahedral group A_5, a subgroup of SO(3), and PSL_2(7), a subgroup of SU(3).Comment: 42 pages, matches published version, references adde