  Assuming the Majorana nature of neutrinos, we recently performed a scan of
leptonic mixing patterns derived from finite discrete groups of order less than
1536. Here we show that the 3 groups identified there as giving predictions
close to experiment, also contain another class of abelian subgroups that
predict an interesting leading order quark mixing pattern where only the
Cabibbo angle is generated at leading order. We further broaden our study by
assuming that neutrinos are Dirac particles and find 4 groups of order up to
200 that can predict acceptable quark and leptonic mixing angles. Since large
flavor groups allow for a multitude of leading order mixing patterns, we define
a measure that is suitable to compare the predictivity of a given flavor group
taking this fact into account. We give the result of this measure for a wide
range of discrete flavor groups and identify the group (Z_18 \times Z_6)
\rtimes S_3 as being most predictive in the sense of this measure. We further
discuss alternative measures and their implications.
