Electrical connector including a module assembly having a contact module. The contact module has a module body and signal conductors held by the module body. The module assembly has a shroud-engaging face. The signal conductors have respective signal members disposed along the shroud-engaging face. The electrical connector also includes a connector shroud that couples to the module assembly. The connector shroud has a mating side, a loading side, and a mating axis extending therebetween. The connector shroud includes contact passages that extend therethrough. The loading side interfaces with the shroud-engaging face. The connector shroud couples to the module assembly in first or second rotational positions about the mating axis. The contact passages align with the signal members for each of the first and second rotational positions.