Let G and P be a finite group and its presentation, respectively. In Vietnam J. Math. 42(2014), I defined the (G,P)-modular map J and the (G,P)-lambda map L, which are maps of the Teichmueller space T of n-punctured complex projective line to some spaces. (n depends on (G,P).) They are combined together by the (G,P)-j map j as follows: J = j L. Even if G and P are concretely given, it is difficult to see the maps J and L concretely. Maybe the map j only can be seen concretely, though the calculations are usually heavy when n>4. In this talk, I show the concrete j for a few concrete (G,P)’s, when n=5.