  This paper introduces two operations in quiver gauge theories. The first
operation takes a quiver with a permutation symmetry $S_n$ and gives a quiver
with adjoint loops. The corresponding 3d $\mathcal{N}=4$ Coulomb branches are
related by an orbifold of $S_n$. The second operation takes a quiver with $n$
nodes connected by edges of multiplicity $k$ and replaces them by $n$ nodes of
multiplicity $qk$. The corresponding Coulomb branch moduli spaces are related
by an orbifold of type $\mathbb{Z}_q^{n-1}$. The first operation generalises
known cases that appeared in the literature. These two operations can be
combined to generate new relations between moduli spaces that are constructed
using the magnetic construction.
