In this paper, we prove that, given any integers d, e, r and r′, and a prime p not dividing de, any two blocks of the complex reflection groups G(de,e,r) and G(de,e,r′) with the same p-weight are perfectly isometric.
Brunat, O., & Gramain, J. B. (2020). Perfect isometries between blocks of complex reflection groups. Journal of Algebra, 558, 260–292. https://doi.org/10.1016/j.jalgebra.2019.04.031