Conventional s-wave superconductors have order parameters with no inte
rnal degrees of freedom - they are characterized by an amplitude and a
phase. All unconventional superconductors share the property of a non
trivial internal symmetry which makes their behavior more interesting
and their identification more difficult. The determination of the orde
r parameter of the longest-studied exotic superconductor, superfluid H
e-3, remains inconclusive despite the existence of a Standard Model. U
sing superfluid He-3 as a cautionary tale, the experimental evidence f
or the identification of order parameters of other exotic superconduct
ors is also examined.