Dum Dum Girls perform at the Black Cat.

Bookended by a pair of familiar covers — with the dozen or so originals in between evoking a broad span of atavistic influences ranging from ’60s girl groups to ’80s Britpop to the early-aughts garage-rock revival — Dum Dum Girls’ Sunday night concert at the Black Cat conveyed a vibe of nostalgia and retrospection that belied the Californian quartet’s status amongst indie rock’s latest next big things. However, even as they continue to nod towards earlier chapters of popular music’s canon, vocalist/guitarist Kristen “Dee Dee” Gundred and her bandmates Bambi (bass), Jules (guitar), and Sandy (drums) showed off their own musical forward-progress, sounding and looking considerably more capable and self-assured than in their previous local appearance last September.