A corporation exempt from income tax under § 10-104 of this title shall file an income tax return if the corporation: has unrelated business taxable income, as defined under § 512 of the Internal Revenue Code; is exempt from taxation under § 501(c)(2) of the Internal Revenue Code; or is an S corporation that is incorporated or does business in the State. An organization that is exempt from taxation under § 501(c)(3) or (4) of the Internal Revenue Code may file an income tax return to claim a refund under § 10-714 of this title.