  We study the LHC search constraints on models that extend the Standard Model
(SM) with an inert, complex scalar electroweak multiplet, $\Sigma$, with
isospin T=5/2 (sextet) or T=7/2 (octet) and identical hypercharge to the SM
Higgs doublet. Imposing a global $Z_2$ symmetry under which $\Sigma \to
-\Sigma$, the lightest member of $\Sigma$ is stable and we require that it be
neutral ($\zeta^{0,r}$) to avoid cosmological constraints from charged relics.
Pair production of scalars by electroweak interactions followed by cascade
decays to $\zeta^{0,r}$ through W and Z emission produces signatures similar to
those of supersymmetric electroweak gauginos, and we constrain the models by
recasting a collection of such searches made with data from the 8 TeV run of
the LHC. We find that there is no sensitivity from these searches to the
compressed spectrum regime, in which the mass splittings between the lightest
and heaviest states in $\Sigma$ are less than about 20 GeV. In the remaining
parameter space, we find significant exclusions for $m_{\zeta^{0,r}} \sim$
80-180 GeV in the sextet model, and $m_{\zeta^{0,r}} \sim$ 80-120 GeV in the
octet model.
