  The investigation of the role of finite groups in flavor physics and
particularly, in the interpretation of the neutrino data has been the subject
of intensive research. Motivated by this fact, in this work we derive the
three-dimensional unitary representations of the projective linear group
PSL_2(7). Based on the observation that the generators of the group exhibit a
latin square pattern, we use available computational packages on discrete
algebra to determine the generic properties of the group elements. We present
analytical expressions and discuss several examples which reproduce the
neutrino mixing angles in accordance with the experimental data.
