  Let $G$ be a Lie group and $H$ be a subgroup of it. We can construct a
bisimplicial manifold $NG(*) \rtimes NH(*)$ and the de Rham complex
$\Omega^*(NG(*) \rtimes NH(*))$ on it. This complex is a triple complex and the
cohomology of its total complex is isomorphic to $H^*(B(G \rtimes H))$. In this
paper, we show that the total complex of the double complex $\Omega^q(NG(*)
\rtimes NH(*))$ is isomorphic to the continuous cohomology $H_c^*(G \rtimes
H;S^q{\mathcal G}^* \otimes S^q{\mathcal H}^*)$ for any fixed $q$.
