About the patentee

Generally speaking, an entity applying for a patent should have legal personality, such as a university or company. However, a company's research group, university departments and such subordinate units are not qualified to apply for patents. The research unit you mentioned belongs to a subsidiary stock company. From what you said, it seems that there is no independent legal personality. The subsidiaries of joint-stock companies have independent legal personality and can apply for patents, while the branches do not. I don't know your institute. If it is only a subordinate department, it cannot apply for a patent without independent legal personality. If you have legal personality, it depends on the nature of the research. If it is a joint-stock company, both parties have it. Entrusted, if there is no agreement between the two parties, the entrusted party shall be entitled to apply.