Del. Code tit. 4 § 404
The Department of Safety and Homeland Security shall appoint, employ or dismiss every officer or employee necessary for carrying out the work of the Division, establish salaries, subject to the Annual Appropriation in the Budget Act, and assign them their official titles and duties, and engage the services of experts and persons engaged in the practice of a profession at the discretion of the Secretary of the Department of Safety and Homeland Security. At the discretion of the Secretary of the Department of Safety and Homeland Security, officers and employees appointed by the Department of Safety and Homeland Security shall have the police powers of constables and other police officers of the State, counties and other subdivisions of the State, and they shall be conservators of the peace throughout the State, and they shall be eligible for certification by the Police Officer Standards and Training Commission, and may suppress all acts of violence and enforce the provisions of this title.
4 Del. C. § 404