  We report on quantum Hall stripes (QHSs) formed in higher Landau levels of
GaAs/AlGaAs quantum wells with high carrier density ($n_e > 4 \times 10^{11}$
cm$^{-2}$) which is expected to favor QHS orientation along unconventional
$\left < 1\bar{1}0 \right >$ crystal axis and along the in-plane magnetic field
$B_{||}$. Surprisingly, we find that at $B_{||} = 0$ QHSs in our samples are
aligned along $\left < 110 \right >$ direction and can be reoriented only
perpendicular to $B_{||}$. These findings suggest that high density alone is
not a decisive factor for either abnormal native QHS orientation or alignment
with respect to $B_{||}$, while quantum confinement of the 2DEG likely plays an
important role.
