The photofragmentation of the water cation H2O+ through dicationic states has been studied at 35.0±0.2 nm (35.4±0.3 eV) and 21.8±0.2 nm (56.8±0.5 eV) with a crossed ion-photon beams experiment at the free electron laser FLASH. The dissociation of the dications is found to be similar at the two wavelengths and to proceed into O0+2H+, OH++H+, and O++H2+, with determined ratios OH++H+/O++H2+=4.2±0.3 and OH++H+/O0+2H+>0.7. The measured kinetic-energy releases for these processes are consistent with three-body breakup (O0+2H+) occurring mainly through the 23′′ and 21′′ states of H2O2+ and two-body breakup (OH++H+) occurring through 3′′, 13′, and 11′′ states of H2O2+, as predicted in a recent theoretical study [Gervais et al., J. Chem. Phys. 131, 024302 (2009)]. In addition to the kinetic-energy releases, we also report on fragment correlation in the three-body channel where the two protons carry the major part of the released momentum.