Oasis, whose guitarist Noel Gallagher quit in August, was also up for the award against Kings Of Leon, Arctic Monkeys, and Coldplay.
The band also missed out in the best live act award category, which was scooped by the Arctic Monkeys, following a battle with acts such as U2, Blur and Take That.
Florence & The Machine was one of the leaders in the nominations with three nods, including breakthrough artist, best video and best album, but they left empty-handed.
Lady GaGa’s catchy Just Dance won best video, but she was beaten in the breakthrough artist category by the band Mr Hudson.
Lily Allen won best track for her hit The Fear.
Indie rockers Kasabian beat acts including Arctic Monkeys, U2 and The Prodigy to win best album, for the Mercury Prize-nominated West Ryder Pauper Lunatic Asylum.
Robert Plant won the outstanding contribution to music award, while Yusuf Islam, formerly known as Cat Stevens, received the classic songwriter gong.
Jarvis Cocker presented the Q icon award to Marianne Faithfull, while The Specials picked up an inspiration award.
Q editor-in-chief Paul Rees said: “Q remains proud of the fact that its awards recognising musical achievement and excellence during the past 12 months are decided by the nation’s music fans, who once again have voted in their thousands.”
U2’s The Unforgettable Fire received the classic album award.
Spandau Ballet, who recently got back together, received the Q idol gong and Edwyn Collins was named a Q legend, picking up his award from The Cribs.
White Lies received a best new act award from synth pop hero Gary Numan, while Sonic Youth won an accolade for innovation in sound.
Singer Amy Winehouse made a surprise appearance at the bash but managed to bungle her appearance on stage.
The troubled chart star, was due to present an award to The Specials alongside record producer and film maker Don Letts, but she got “stuck in a lift” and arrived on stage after they had been given the prize.