The 3-compact group DI(2) J. Moeller Abstract. The 3-compact group $DI(2)$ is characterized by its cohomology algebra $H^*(BDI(2);F_3) = F_3[x_{12},x_{16}]$ being the rank 2 mod 3 Dickson algebra. We show that $DI(2)$ is a totally $N$-determined 3-compact group, compute the endomorphism monoid of $DI(2)$, and investigate subgroups of $DI(2)$.