Cumulative function F of parent halos as a function of the number of subhalos with the normalized circular velocity larger than 0.1, N _>0.1. The thick solid curve shows the result for galaxy-sized halos. The thin solid curve shows the result for giant galaxy-sized halos. The thin dashed curve is for the result of Paper I. The arrows in the bottom show the results of several previous papers (D07: Diemand et al. 2007; D08: Diemand et al. 2008; K07: Kase et al. 2007; M99: Moore et al. 1999a).