  The production of WWZ at the LHC is an important process to test the quartic
gauge couplings of the Standard Model as well as an important background for
new physics searches. A good theoretical understanding at next-to-leading order
(NLO) is therefore valuable. In this paper, we present the calculation of the
NLO electroweak (EW) correction to this channel with on-shell gauge bosons in
the final state. It is then combined with the NLO QCD correction to get the
most up-to-date prediction. We study the impact of these corrections on the
total cross section and some distributions. The NLO EW correction is small for
the total cross section but becomes important in the high energy regime for the
gauge boson transverse momentum distributions.
