  Modular symmetries naturally combine with traditional flavor symmetries and
$\mathcal{CP}$, giving rise to the so-called eclectic flavor symmetry. We apply
this scheme to the two-dimensional $\mathbb{Z}_2$ orbifold, which is equipped
with two modular symmetries $\mathrm{SL}(2,\mathbb{Z})_T$ and
$\mathrm{SL}(2,\mathbb{Z})_U$ associated with two moduli: the K\"ahler modulus
$T$ and the complex structure modulus $U$. The resulting finite modular group
is $((S_3\times S_3)\rtimes \mathbb{Z}_4)\times\mathbb{Z}_2$ including mirror
symmetry (that exchanges $T$ and $U$) and a generalized
$\mathcal{CP}$-transformation. Together with the traditional flavor symmetry
$(D_8\times D_8)/\mathbb{Z}_2$, this leads to a huge eclectic flavor group with
4608 elements. At specific regions in moduli space we observe enhanced unified
flavor symmetries with as many as 1152 elements for the tetrahedral shaped
orbifold and $\langle T \rangle = \langle U \rangle =
\exp(\pi\,\mathrm{i}\,/\,3)$. This rich eclectic structure implies interesting
(modular) flavor groups for particle physics models derived form string theory.
