Density functional theory and multiconfigurational CASPT2 and RASPT2 methods are employed to investigate the low-lying states of CoGen-/0 (n = 1-3) clusters. With the RASPT2 approach, the active space is extended to 14 orbitals for CoGe-/0, 17 orbitals for CoGe2-/0, and 20 orbitals for CoGe3-/0. These active spaces include the 3d, 4s, and 4d of Co and 4p of Ge. The 4d of Co is incorporated into these active spaces in order to account for the important double -shell effect of Co. The structural parameters, vibrational frequencies, and relative energies of the low-lying states of CoGen-/0 (n = 1-3) are reported. The ground states of CoGen- (n = 1-3) are computed to be (3)Phi of linear CoGe-, B-3(1) of cyclic CoGe2-, and B-3(1) of cyclic CoGe3- isomer. The ground states of the neutral clusters are calculated to be (2)Delta, of linear CoGe, B-4(1) of cyclic CoGe2, and (4)A '' of tetrahedral CoGe3 isomer. The calculated adiabatic and vertical detachment energies of the anionic ground states are in agreement with the experimental values as observed in the 266 nm anion photoelectron spectra.