Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models

We study non-abelian discrete flavor symmetries, which can appear in magnetized brane models. For example, $D_4$, $\mathrm{\Delta }(27)$ and $\mathrm{\Delta }(54)$ can appear and matter fields with several representations can appear. We also study the orbifold background, where non-abelian flavor symmetries are broken in a certain way.