They do, since the 2014 shuffle. Captains and vice captains go as follow right now (in SKE48 they are called "leader" and "co-leader" and in HTK48 captain and co-captain)
Team A: Yuihan (C) Komari (V)
Team K: Miichan (C) Haruu (V)
Team B: Yuria (C) Ryoochan (V)
Team 4: Juri (C) Naachan (V)
Team S: Sae (L) Mikiti (C)
Team KII: Minarun (L) Mikotii (C)
Team E: Akarin (L) Umechan (C) [umemoto madoka, and not the other umechan who is now in NMB

]
Team N: Sayanee (C) Keicchi (V)
Team M: Reinyan (C) A-pon (V)
Team BII: Emichi (C) Umechan (V)
Team H: Chihiron (C) Natsu (CC)
Team KIV: Rabutan (C) Sakura (CC)
In other news:
AKB48 is in a commercial for the Odaiba summer festival? something like that

and they also participated in its opening ceremony

AKB48 Team A graduating member Kawaei Rina was in Entame SideB magazine:




