We show that the superdeformed nuclear states can be described in the
framework of the interacting boson model (IBM) with the g-bosons being
taken into account in this paper. The Delta I = 4 bifurcation in supe
rdeformed rotational bands can be reproduced in the SU(5) limit of the
sdg IBM. The perturbation causing the Delta I = 4 bifurcation to emer
ge in the Delta I = 2 superdeformed rotational band may possess the SU
(5) symmetry.