  We analyse various two dimensional theories arising from compactification of
type II and heterotic string theory on asymmetric orbifolds. We find extra
supersymmetry generators arising from twisted sectors, giving rise to exotic
supersymmetry algebras. Among others we discover new cases with a large number
of supercharges, such as $\mathcal{N}=(20,8)$, $\mathcal{N}=(24,8)$,
$\mathcal{N}=(32,0)$, $\mathcal{N}=(24,24)$ and $\mathcal{N}=(48,0)$.
