  The 212 species of structural phase transitions which break macroscopic
symmetry are analyzed with respect to the occurrence of time-reversal invariant
vector and bidirector order parameters. The possibility of discerning the
orientational domain states of the low-symmetry phase by these `vectorlike'
physical properties has been derived using a computer algorithm exploiting the
concept of polar, axial, chiral and neutral dipoles. It is argued that for
species 32 > 3, 422 > 4 and 622 > 6, Bogdanov-Yablonskii phenomenological
theory for a ferromagnetic Bloch Skyrmions applies also to the ferroelectric
Bloch Skyrmions. In these fully-ferroelectric and nonferroelastic species, the
Ginzburg Landau functional allows a pseudo-Lifshitz invariant of chiral
bidirector symmetry, analogous to the chiral Dzyaloshinskii-Moria term assumed
in magnetic Bloch Skyrmion theory.
