  The soft function in non-abelian gauge theories exponentiate, and their
logarithms can be organised in terms of the collections of Feynman diagrams
called Cwebs. The colour factors that appear in the logarithm are controlled by
the web mixing matrices. Direct construction of the diagonal blocks of Cwebs
using the new concepts of Normal ordering, basis Cweb and Fused-Web was
recently carried out in~\cite{Agarwal:2022wyk}. In this article we establish
correspondence between the boomerang webs introduced in ~\cite{Gardi:2021gzz}
and non-boomerang Cwebs. We use this correspondence together with Uniqueness
theorem and Fused web formalism introduced in ~\cite{Agarwal:2022wyk} to obtain
the diagonal blocks of four general classes of Cwebs to all orders in
perturbation theory which also cover all the four loop Boomerang Cwebs
connecting four Wilson lines. We also fully construct the mixing matrix of a
special Cweb to all orders in perturbation theory.
