  We study scalar potentials and the corresponding vacua of N=10 three
dimensional gauged supergravity. The theory contains 32 scalar fields
parametrizing the exceptional coset space $\frac{E_{6(-14)}}{SO(10)\times
U(1)}$. The admissible gauge groups considered in this work involve both
compact and non-compact gauge groups which are maximal subgroups of
$SO(10)\times U(1)$ and $E_{6(-14)}$, respectively. These gauge groups are
given by $SO(p)\times SO(10-p)\times U(1)$ for $p=6,...10$, $SO(5)\times
SO(5)$, $SU(4,2)\times SU(2)$, $G_{2(-14)}\times SU(2,1)$ and $F_{4(-20)}$. We
find many AdS$_3$ critical points with various unbroken gauge symmetries. The
relevant background isometries associated to the maximally supersymmetric
critical points at which all scalars vanish are also given. These correspond to
the superconformal symmetries of the dual conformal field theories in two
dimensions.
