  We try to interpret a very light dark matter with mass of 5~10 GeV which is
in favor of the recent experiments reported by CoGeNT and DAMA, in a
non-supersymmetric extension of radiative seesaw model with a family symmetry
D_6 x Z_2 x Z_2. We show that a D_6 singlet real scalar field can be a
promising dark matter candidate, and it gives the elastic cross section \sigma
\simeq 7x10^{-41} cm^2 which is required by these experiments. Our dark matter
interacts with a D_6 singlet scalar Higgs boson, which couples only to quark
sector. The dark matter-nucleon cross section and new decay mode h->DM DM can
be large if the standard model Higgs boson h is light. The Higgs phenomenology
is also discussed.
