  By using a density matrix renormalization group method, we investigate the
ground-state properties of a one-dimensional three-orbital Hubbard model on the
basis of a j-j coupling scheme. For $B_4^0 \ne 0$, where $B_4^0$ is a parameter
to control cubic crystalline electric field effect, one orbital is itinerant,
while other two are localized. Due to the competition between itinerant and
localized natures, we obtain orbital ordering pattern which is sensitive to
$B_4^0$, leading to a characteristic change of $\Gamma_{3g}$ quadrupole state
into an incommensurate structure. At $B_4^0 = 0$, all the three orbitals are
degenerate, but we observe a peak at $q = 0$ in $\Gamma_{3g}$ quadrupole
correlation, indicating a ferro-orbital state, and the peak at $q = \pi$ in
$\Gamma_{4u}$ dipole correlation, suggesting an antiferromagnetic state. We
also discuss the effect of $\Gamma_{4u}$ octupole on magnetic anisotropy.
