  We construct the most general disorder operator for SU(N) lattice gauge
theory in $(2+1)$ dimension by using exact duality transformations. These
disorder operators, defined on the plaquettes and characterized by
($\text{N}-1$) angles, are the creation \& annihilation or the shift operators
for the SU(N) magnetic vortices carrying $(\text{N}-1)$ types of magnetic
fluxes. They are dual to the SU(N) Wilson loop order operators which, on the
other hand, are the creation-annihilation or shift operators for the
$(\text{N}-1)$ electric fluxes on their loops. The new order-disorder algebra
involving SU(N) Wigner D matrices is derived and discussed. The $Z_\text{N}
(\in $ SU(N)) 't Hooft operator is obtained as a special limit. In this limit
we also recover the standard Wilson-'t Hooft order-disorder algebra. The
partition function representation and the free energies of these SU(N) magnetic
vortices are discussed.
