Employing the general principles of classification of SU3 states, we have f
ound 285 quantum number isomers (QNI), i.e. nuclei for which there are two
possible SU3 quantum number sets, characterized by the maximal eigenvalue o
f the SU3 group Casimir operator, at the minimal value N-0(min) for the qua
ntum number N-0 of the group U3(A-1) symmetric representation, allowed by t
he Pauli principle. 41 of these QNI can be attributed to the nun-excited, g
round SU3 configurations of realistic nuclei. Two examples of QNI: Si-28 an
d Zn-60, have been studied in detail in the framework of the strictly restr
icted dynamics model (SRDM).