Cumulative numbers of subhalos as a function of their maximum rotation velocities V _c normalized by the circular velocity of the parent halos at r ₅₀. Three thick solid curves show the average (middle) and ±1σ values (top and bottom). The thick dashed curves show the results of Springel et al. (2008, simulation Aq-A-1, Aq-C-2, Aq-E-2).