HQ is an abbreviation for high quality, or headquarters. HQ may also refer to: 1  Chase H.Q. , an arcade racing game. 2  Geely HQ (Haoqing), a car. 3  Hagstroemer & Hagströmer, qviberg A swedish investment. 4  Bank Holy, quran honorific. 5  Title Harley, quinn A Dc comics character and enemy Of. 6  Batman Harmony, AIRWAYS iata airline.  designator