Maryland Election Law Section 8-401
§ 8-401.
  (a)   A special primary election and a special general election may be held at a time other than the date of a regular primary election and a regular general election:
    (1)   to fill a vacancy in the office of Representative in Congress; or
    (2)   to fill a vacancy in the county council if the charter of that county provides for special elections.
  (b)   (1)   Special elections to fill a vacancy in the office of Representative in Congress shall be held at the time specified in Subtitle 7 of this title.
    (2)   Special elections to fill vacancies in a county council shall be held as provided in the county charter.
  (c)   An election to fill a vacancy in the office of United States Senator shall be held concurrently with a regular election as provided in Subtitle 6 of this title.