Initial mass distributions of all clusters sampled in our six zoom-in simulations of galaxies. We consider here all the clusters formed without taking their different formation redshifts into account. The different simulations are indicated with the same colours as in Fig. 2. Dashed lines correspond to the best power-law fits. The grey shaded region indicates the mass range M_cl < 6 × 10⁴ M_⊙, which we do not model with CMC. This limit roughly corresponds to an initial number of particles of 10⁵.