  We investigate the scaling properties of the interface fluctuation width for
the $Q$-mer and $Q$-particle-correlated deposition-evaporation models. These
models are constrained with a global conservation law that the particle number
at each height is conserved modulo $Q$. In equilibrium, the stationary
roughness is anomalous but universal with roughness exponent $\alpha=1/3$,
while the early time evolution shows nonuniversal behavior with growth exponent
$\beta$ varying with models and $Q$. Nonequilibrium surfaces display diverse
growing/stationary behavior. The $Q$-mer model shows a faceted structure, while
the $Q$-particle-correlated model a macroscopically grooved structure.
