A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups

A nonabelian finite flavor group $G\subset SO(3)$ can have double covering $G^{{}^{\mathrm{\prime }}}\subset SU(2)$ such that $G\subset ̸G^{{}^{\mathrm{\prime }}}$. This situation is not contradictory, but quite natural, and we give explicit examples such as $G=D_n, G^{‘}=Q_{2n}$and$G=T, G^{’}=T^{'}$. This observation can be crucial in particle theory model building.