A brief reminder is given of the evidence for the existence of octupole correlations in the superdeformed shape of 193Hg. It is pointed out that comparison of the data on the superdeformed bands in 19Hg with Cranked Shell Model calculations gives firm assignments to the signatures and parities of these bands. The spin assignments obtained are in agreement with the spin assignments given by projecting the SD bands back to zero rotational frequency and assuming the intrinsic alignment i0 is zero. These spin asssignments leave ‘‘identical’’ bands in 191Hg, 193Hg and 194Hg with a surplus 1ℏ of spin relative to the superdeformed core nucleus 192Hg. This extra 1ℏ of alignment is not understood.