  We are conducting a deep near-infrared (NIR) imaging survey of young embedded
clusters in the extreme outer Galaxy (hereafter EOG), at the Galactic radius
(R_g) of more than 18 kpc. The EOG is an excellent laboratory to study the
nature of the IMF in a low-metallicity environment with a great advantage of
the proximity compared to nearby dwarf galaxies, such as LMC & SMC. As a first
step, we obtained deep NIR images of Digel Cloud 2 clusters at R_g ~19 kpc
using the Subaru 8.2-m telescope. The observed K-band luminosity function shows
that IMF in the low metallicity environment down to ~ 0.1 M_{sun} is not
significantly different from the typical IMFs in the field and in the nearby
star clusters as was suggested in our earlier work.
