  The concept of Automorphic Lie Algebras arises in the context of reduction
groups introduced in the early 1980s in the field of integrable systems.
Automorphic Lie Algebras are obtained by imposing a discrete group symmetry on
a current algebra of Krichever-Novikov type. Past work shows remarkable
uniformity between algebras associated to different reduction groups. For
example, if the base Lie algebra is $\mathfrak{sl}_2(\mathbb{C})$ and the poles
of the Automorphic Lie Algebra are restricted to an exceptional orbit of the
symmetry group, changing the reduction group does not affect the Lie algebra
structure. In the present research we fix the reduction group to be the
dihedral group and vary the orbit of poles as well as the group action on the
base Lie algebra. We find a uniform description of Automorphic Lie Algebras
with dihedral symmetry, valid for poles at exceptional and generic orbits.
