My understanding is that when it comes to the correspondence between representation theory and particle physics, every irreducible representation of the Poincare group has a corresponding fundamental particle.  

My questions are as follows:

 1. are all of the currently known fundamental particles predicted to
    exist by this correspondence idea? 
 2. does the traditional ISO(3,1)
    Poincare group/algebra predict the existence of supersymmetric
    particles?  If not, what superalgebra is needed?