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                                 Abstract:In the IBM4,when s.d.g bosons are presented,the symmetry group of the system is U(90) In this paper,the group chain.U90 U15(sdg)×U6(ST) SU15(sdg)×U6(ST) SU5(sdg)× O6(ST) SO5(dg)×O3(S)×O3(T) O3(dg)×O3(S)×O3(T) O3(J)×O3(T) is discussed,the reduction rules and the typical energy spectra are obtained.An example of a spectrum with this dynamical symmetry is found out,where the even-even nucleus 34S and odd-odd nucleus 34Cl are in one multiplet.
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