A coaxial connector has inner and outer contacts (34, 36) connected to inner and outer conductors (20, 22) of a coaxial cable (14), in a contact arrangement of small diameter (A), so each coax contact arrangements can carry high frequency signals. The outer contact has a rear portion (70) lying within the cable outer conductor (22) and locked in place by a crimp sleeve (72), and the outer contact has a front portion (74) that projects forward of a housing front face (80) and that has laterally opposite sides (82, 84) that are exposed to be contacted. The housing has a forward projection (102) with projection portions (104, 106) that lie on longitudinally (M) opposite sides of the outer contact front portion and that have projection front ends that merge and support the center contact (34) at a location forward of the outer conductor.