  In the previous paper, we proposed a practical method of constructing
explicitly representation groups $R(G)$ for finite groups $G$, and apply it to
certain typical finite groups $G$ with Schur multiplier $M(G)$ containing prime
number 3. In this paper, we construct a complete list of irreducible projective
(or spin) representations of $G$ and compute their characters (called spin
characters). It is a continuation of our study of spin representations in the
cases where $M(G)$ contains prime number 2 to the cases where other prime $p$
appears, firstly $p=3$. We classify irreducible spin representations and
calculate spin characters according to their spin types.
