Subject to the provisions of sections 46b-450 to 46b-553, inclusive, a proceeding to adjudicate parentage may be maintained by: (1) The child, if the child is eighteen years of age or older or, if the child is a minor, through a representative of the child; (2) the person who gave birth to the child, unless a court has adjudicated that such person is not a parent; (3) a person who is a parent of the child under sections 46b-450 to 46b-553, inclusive; (4) a person who seeks to be adjudicated a parent under the provisions of sections 46b-450 to 46b-553, inclusive; (5) the Department of Social Services; (6) the Department of Children and Families; (7) a person deemed by the court to have a sufficient interest to file a claim for parentage on behalf of a deceased parent; or (8) a representative authorized by the law of this state, other than sections 46b-450 to 46b-553, inclusive, to act for a person who otherwise would be entitled to maintain a proceeding but is deceased, incapacitated or a minor.