  The band structures of $^{68,70}$Ge, $^{128,130,132,134}$Ce and
$^{132,134,136,138}$Nd are investigated using the triaxial projected shell
model (TPSM) approach. These nuclei depict forking of the ground-state band
into several s-bands and in some cases, both the lowest two observed s-bands
depict neutron or proton character. It was discussed in our earlier work that
this anamoluos behaviour can be explained by considering $\gamma$-bands based
on two-quasiparticle configurations. As the parent band and the $\gamma$-band
built on it have the same intrinsic structure, g-factors of the two bands are
expected to be similar. In the present work, we have undertaken a detailed
investigation of g-factors for the excited band structures of the studied
nuclei and the available data for a few high-spin states are shown to be in
fair agreement with the predicted values.
