We study the effect of intense magnetic fields on the phase diagram of cold, strongly interacting matter within an extended version of the Nambu-Jona-Lasinio model that includes flavor-mixing effects and vector interactions. Different values of the relevant model parameters in acceptable ranges are considered. Charge neutrality and beta equilibrium effects, which are especially relevant to the study of compact stars, are also taken into account. In this case, the behavior of leptons is discussed.Instituto de Física La Plata