  The space-group approach to the wavefunction of a Cooper pair is extended to
Shubnikov groups of type III and applied to newly discovered nearly
ferromagnetic superconductor UTe2. A nonunitary triplet SOP (superconducting
order parameter), manifested experimentally, was obtained for Shubnikov group
m'm'm . The nodal structure of triplet nonunitary SOP is investigated and it
was shown that in the case of Shubnikov III symmetry nodal structure of ESP
(equal spin pairing) state is in some cases unstable, i.e. changes when a
complex phase winding is added. The irreducible corepresentations of a Cooper
pair wave function corresponding to m'm'm symmetry and to all experimental data
for UTe2 are identified.
