A rich set of differential cross section of the three-body 2 H(d,dp)n breakup reaction at 160 MeV deuteron beam energy has been measured over a large range of the available phase space. The experiment was performed at KVI in Groningen, the Netherlands, using the BINA detector. The cross-section data for the breakup reaction have been normalized to the simultaneously measured 2 H(d,d) 2 H elastic scattering cross section. The breakup cross sections obtained for 147 kinematically complete configurations near the quasifree scattering kinematics are compared to the recent approximate calculations for the three-cluster breakup in deuteron-deuteron collisions. The cross sections for 294 kinematic configurations of the quasi-free scattering regime, for which no theoretical calculations exist, are also presented. Besides the three-body breakup, semiinclusive energy distributions for the four-body 2 H(d, pp)nn breakup are reported. This article belongs to the Topical Collection "Ludwig Faddeev Memorial Issue".