  A scenery $f$ on a finite group $G$ is a function from $G$ to $\{0,1\}$. A
random walk $v(t)$ on $G$ is said to be reconstructive if the distributions of
2 sceneries evaluated on the random walk with uniform initial distribution are
identical only if one scenery is a shift of the other scenery. Previous results
gave a sufficient condition for reconstructivity on finite abelian groups. This
paper gives a ready generalization of this sufficient condition to one for
reconstructivity on finite non-abelian groups but shows that no random walks on
finite non-abelian groups satisfy this sufficient condition.
