In this talk, we will study some genuine small representations of a nonlinear covering group and the algebraic properties that characterize them. One way to describe these representations is the orbit method. We then discuss a formula used to compute the wavefront set in the real group setting, aiming at generalizing the formula to the p-adic groups. More specifically, we conjecture that this formula can be used to compute the maximal elements in the wavefront set of a theta representation. The latter part is joint work with Fan Gao.