Using multireference methods and semiquantitative basis sets, we have computed nineteen potential energy curves and spectroscopic parameters of the calcium monocarbide system, CaC. For the much debated (3)Sigma(-) and (5)Sigma(-) states our calculations definitively show that the ground state is of (3)Sigma(-) symmetry with the a (5)Sigma(-) state lying 1500-2500 cm(-1) higher. For the X(3)Sigma(-) state our best estimates for the binding energy and equilibrium bond length are 51 kcal/mol and 2.33 Angstrom, respectively. All states are strongly ionic with a charge transfer of 0.5 to 0.7 e(-) from Ca to C.