Same word as selfconceit:

amour-propre, arrogance, complacence, complacency, consequence, immodesty, narcissism, outrecuidance, pomposity, pride, self-admiration, self-conceit, self-exaltation, self-importance, self-love, self-regard, smugness, snottiness, stuffiness, swagger, swelled head, vainglory, vainness, vanity