Large computations are performed on the C(4) (+) cation in order to characterize its stable isomers and its lowest electronic excited states using configuration interaction methods and large basis sets. Several stable isomers are found including a linear C(4) (+)(l-C(4) (+)), a rhombic C(4) (+)(r-C(4) (+)) (or cyclic), and a branched (d-C(4) (+)) structure. Our calculations show a high density of electronic states for all of these isomers favoring their interactions. By combining the present ab initio data and those on neutral C(4), the l-C(4)(X)+hnu-->l-C(4) (+)(X(+))+e(-), d-C(4)(X)+hnu-->d-C(4) (+)(X(+))+e(-), and r-C(4)(X)+hnu-->r-C(4) (+)(X(+))+e(-) vertical photoionization transition energies are computed at 10.87, 10.92, and 10.77 eV, respectively. Photoionizing a C(4) molecular beam results on an onset at 10.4-10.5 eV and then to a linear increase of the signal due to the opening of several ionization channels involving most of the C(4) and C(4) (+) isomers and electronic states.