  We give examples of closed, oriented 3-manifolds whose fundamental groups are
not isomorphic, but yet have the same sets of finite quotient groups; hence the
same profinite completions. We also give examples of compact, oriented
3-manifolds with non-empty boundaries whose fundamental groups though
isomorphic have distinct peripheral structures, but yet have the same sets of
finite peripheral pair quotients (defined below). The examples are Seifert
Fibered Spaces with zero rational Euler number; moreover most of these
manifolds give rise to such examples.
