The relative cohomology of the contact Lie superalgebra with coefficients in the space of differential operators acting on tensor densities on , is calculated in N. Ben Fraj, I. Laraied, S. Omri (2013) and the generating -cocycles are expressed in terms of the infinitesimal super-Schwarzian derivative -cocycle , which is invariant with respect to the conformal subsuperalgebra of . In this work we study the supergroup case. We give an explicit construction of -cocycles of the group...