  The triaxial dynamics of the quadrupole-deformed rotor model of both the
rigid and the irrotational type have been investigated in detail. The results
indicate that level patterns and E2 transitional characters of the two types of
the model can be matched with each other to the leading order of the
deformation parameter $\beta$. Especially, it is found that the dynamical
structure of the irrotational type with most triaxial deformation
($\gamma=30^\circ$) is equivalent to that of the rigid type with oblate
deformation ($\gamma=60^\circ$), and the associated spectrum can be classified
into the standard rotational bands obeying the rotational $L(L+1)$-law or
regrouped into a new ground- and $\gamma$-band with odd-even staggering in the
new $\gamma$-band commonly recognized as a signature of the triaxiality. The
differences between the two types of the model in this case are emphasized
especially on the E2 transitional characters.
