  A procedure for using the eigenvectors of the elements of the representations
of a discrete group in model building is introduced and is used to construct a
model that produces a large reactor mixing angle, sin^2(theta13)=2/3
sin^2(pi/16), in agreement with recent neutrino oscillation observations. The
model fully constrains the neutrino mass ratios and predicts normal hierarchy
with the light neutrino mass, m1~25 meV. Motivated by the model, a new mixing
ansatz is postulated which predicts all the mixing angles within 1sigma errors.
