Qianlong (1711-1799), Emporer of China, reigned 1736-1796. 2 portraits.
Pete Quaife (1943-), Musician; bassist with 'The Kinks'. 1 portrait.
Mary Quant (1934-), Fashion designer. 8 portraits.
Margo Quantrell, Singer; member of the Breakaways. 1 portrait.
Francis Quarles (1592–1644), Poet. 2 portraits.
John Quarles (1624 or 1625-1665), Poet. 3 portraits.
Robert Quarme, Yeoman Usher. 2 portraits.
Charlotte Eunice Amoah Quashie-Idun. 1 portrait.
Dinah Quashie-Idun, Second daughter of Sir Samuel Quashie-Idun. 1 portrait.
Frances Quashie-Idun, Eldest daughter of Sir Samuel Quashie-Idun. 1 portrait.
Sir Samuel Okai Quashie-Idun (1902-1966), Judge in Nigeria and Ghana. 3 portraits.
Phineas Quass (died 1961), Queen's Counsel. 2 portraits.
Judah Hirsch Quastel (1899-1987), Professor of Neurochemistry. 1 portrait.
Suzi Quatro (Susan Kay Quatrocchio) (1950-), Singer and musician. 1 portrait.
David Quay (1948-), Graphic designer and typographer. 1 portrait.
Sir (John) Anthony Quayle (1913-1989), Actor and theatre director. 3 portraits.
William Douglas, 1st Duke of Queensberry (1637–1695), Politician. 1 portrait.
James Douglas, 2nd Duke of Queensberry (1662-1711), Lord Privy Seal. 1 portrait.
Catherine Douglas (née Hyde), Duchess of Queensberry (1701-1777), Eccentric beauty and patron of writers. 4 portraits.
William Douglas, 4th Duke of Queensberry (1724-1810), Rake and patron of the turf. 12 portraits.
John Sholto Douglas, 8th Marquess of Queensberry (1844-1900), Patron of boxing. 1 portrait.
Georgina Leonora Barnard Douglas (née Mosselmans), Marchioness of Queensberry (died 1969), 2nd wife of 9th Marquess of Queensberry; daughter of Richard Frederick Hendrick Mosselmans. 4 portraits.
Mary Louise Douglas (née Bickel), Marchioness of Queensberry (died 1956), 2nd wife of 10th Marquess of Queensberry; daughter of Richard Bickel. 6 portraits.
Irene Clarice (née Richards), Marchioness of Queensberry (died 1977), Musical comedy actress and 1st wife of 11th Marquess of Queensberry; daughter of Henry Richards. 3 portraits.
Almeric Hugh Paget, 1st Baron Queensborough (1861-1949), Politician. 4 portraits.
Sir Peter Courtney Quennell (1905-1993), Writer and editor. 12 portraits.
William Quennell (1839-1908), Rector of Shenfield and Canon of St Albans. 1 portrait.
Caroline Quentin (1960-), Actress. 1 portrait.
George Augustus Quentin (1760-1851), Lieutenant-General. 1 portrait.
François Quesnel (1543-1619). 2 portraits.
(Lord) David John Kinsley Quibell (1879-1962), Labour MP. 2 portraits.
Diana Quick (1946-), Actress. 6 portraits.
John Quick (1748-1831), Comedian. 8 portraits.
John Quick (baptised 1636- 1706), Clergyman and ejected minister. 2 portraits.
Hugh Richard Heathcote Gascoyne-Cecil, Baron Quickswood (1869-1956), Politician and provost of Eton. 18 portraits.
Sir Arthur Thomas Quiller-Couch (1863-1944), 'Q'; writer, novelist and literary scholar. 21 portraits.
Denis Clifford Quilley (1927-2003), Actor. 1 portrait.
Sir Anthony Raymond Leopold Cuthbert Quilter, 4th Bt (1937-), Landowner. 7 portraits.
Lady Mary Elise Quilter (née Gooch), Wife of Sir Anthony Quilter, 4th Bt. 7 portraits.
Roger Quilter (1877-1953), Composer. 9 portraits.
Sir William Cuthbert Quilter, 1st Bt (1841-1911), Art collector and politician. 2 portraits.
James Quin (1693-1766), Actor. 3 portraits.
Edgar Quinet (1803-1875), Poet, historian and political philosopher. 1 portrait.
Henry Quinlan (1906-2000), Major-General. 11 portraits.
Marc Quinn (1964-), Artist. 4 portraits.
Michael ('Mickey') Quinn (1969-), Musician; Member of 'Supergrass'. 1 portrait.
John Charles Quinnell (1891-1983), Air Commodore. 8 portraits.
Anthony Meredith Quinton, Baron Quinton (1925-), Philosopher; President of Trinity College, Oxford. 1 portrait.
Margaret Constance Quinton (née Vesey) (1912-), Wife of Herbert Quinton; daughter of Hon. Thomas Eustace Vesey. 4 portraits.

