Having no face / Having or revealing no individual identity or character; anonymous. / Having or revealing no individuality, personality or distinctive characteristics.

The state or condition of being faceless.

plural of faceless bureaucrat

(idiomatic, usually derogatory) A stereotypical anonymous, interchangeable and unaccountable government official.

(Australian politics, informal) Someone who is not elected to political office, but exerts power over political affairs from behind the scenes.

Without a face or identity.