Ohio Rev. Code Ann. § 1119.11
(B)
(2) A foreign bank licensed to operate an agency may, in addition to conducting all of the permissible activities of a representative office set forth in division (B) of section 1119.06 of the Revised Code, conduct limited banking activities at or through a licensed agency, including all of the following:
(C) A foreign bank licensed to operate a branch may, in addition to conducting all of the permissible activities of a representative office set forth in division (B) of section 1119.06 of the Revised Code and all of the permissible activities of an agency set forth in division (B)(2) of this section, conduct the following activities at or through a licensed branch: