  Lambek's unified classification of the elementary interaction-quanta of the
``Standard model'' is formulated in terms of the 24 units of the
integer-quaternion ring, i.e., the tetrahedral group Q_{24}. An extension of
Lambek's scheme to the octahedral group Q_{48} may enable to take all three
generations of leptons and quarks into account, as well as to provide a
quantitative explanation for flavor-mixing.
