This paper introduces two operations in quiver gauge theories. The first operation, collapse, takes a quiver with a permutation symmetry S  n  and gives a quiver with adjoint loops. The corresponding 3d   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 4 Coulomb branches are related by an orbifold of S  n . The second operation, multi-lacing, 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   <math> <msubsup> <mi>ℤ</mi> <mi>q</mi> <mrow> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msubsup> </math>  $$ {\mathbb{Z}}_q^{n-1} $$ . Collapse generalises known cases that appeared in the literature [1–3]. These two operations can be combined to generate new relations between moduli spaces that are constructed using the magnetic construction.