User blog comment:B214/High School DxD EX/@comment-31137559-20170415033745/@comment-1359322-20170416021129

I don't think a reincarnated Devil would get a proper household on his own. We haven't actually heard of a Rosenkreutz clan or a Tannin clan.

Not that its really that important if you ask me though. Most of Ise's children doesn't even carry the Hyoudou surname, even if there is a Hyoudou clan, that Ise started, the eldest son Kurenai who should inherit the clan head position is using a different surname.