Supplementary material

The supplementary material contains chemical bonding data such as -ICOHP and ICOBI; wave function parity products δi at time-reversal invariant momenta; dependence of total energy on the volume of primitive cell for X3Se4 (X = Ir, Pd, Pt); phonon density of states analysis for the compounds presented in the main paper; crystal structure and band spectrum of (Rh1-xPtx)3Se4.