  We consider the semilinear electromagnetic Schr\"{o}dinger equation
(-i\nabla+A(x))^{2}u + V(x)u = |u|^{2^{\ast}-2}u, u\in
D_{A,0}^{1,2}(\Omega,\mathbb{C}), where
$\Omega=(\mathbb{R}^{m}\smallsetminus{0})\times\mathbb{R}^{N-m}$ with $2\leq
m\leq N$, $N\geq3$, $2^{\ast}:= 2N/(N-2)$ is the critical Sobolev exponent, $V$
is a Hardy term and $A$ is a singular magnetic potential of a particular form
which includes the Aharonov-Bohm potentials. Under some symmetry assumptions on
$A$ we obtain multiplicity of solutions satisfying certain symmetry properties.
