  We derive the canonical forms of super Riemannian metrics and the local
isometry groups of such metrics. For certain super metrics we also compute the
simply connected covering groups of the local isometry groups and interpret
these as local spin groups of the super metric. Using a generalization of a
Theorem of Rogers, which is itself one of the main results of this paper, we
show that for super metrics we call body reducible, each such simply connected
covering group G is a super Lie group with a conventional super Lie algebra as
its corresponding super Lie algebra. We work exclusively in the $G^{\infty}$
category.
