Using Type-II radio bursts from Wind/WAVES and the associated coronal mass ejections (CMEs) from SOHO/LASCO, Gopalswamy et al. (2005) found a hierarchical relationship between the wavelength range of the Type-II bursts and the CME kinetic energy. Under 'DH (Decametric-Hectometric) Type-II bursts', they have included m (metric)-DH, pure DH, and DH-km (kilometric) bursts. In this work, we consider the pure DH, m-DH, and DH-km subsets separately. We find that CMEs associated with DH-km Type-II bursts have the largest values of average speed, nonhalo width, mass, and halo fraction. CMEs associated with m-DH Type-II bursts have a slightly larger average speed and mass than those causing pure DH Type-II bursts. CMEs associated with m-DH and pure DH Type-II bursts have a slightly lower speed and halo fraction compared to those associated with the combined set of DH Type-II bursts in Gopalswamy et al. (2005), while CMEs causing the DH-km Type-II bursts have even larger values of CME parameters. DH-km Type-II burst-associated CMEs have the largest solar energetic particles (SEPs) association compared to m-DH and pure DH Type-II burst-associated CMEs. The DH-km Type-II burst-associated CMEs' SEP association is slightly smaller than that of Gopalswamy et al. (2005) m-km Type-II burst-associated CMEs. The CMEs associated with major SEP have a higher average speed than the pure DH and m-DH CMEs but smaller than the DH-km CMEs.