  We investigated the behavior of fractional quantum Hall (FQH) states in a
two-dimensional electron system with layer thickness and an in-plane magnetic
field. Our comparisons across various filling factors within the first Landau
level revealed a crucial observation. A slight in-plane magnetic field
specifically enhances the nematic order of the $\nu = 7/3$ FQH state. For this
particular filling, through calculating the energy gap, the Ising nematic order
parameter, the pair-correlation function, and the static structure factor, we
observed that as the in-plane magnetic field increases, the system first enters
into an anisotropic FQH phase without closing the spectrum gap, then the FQH
nematic (FQHN) phase after neutral gap closing. The system eventually enters a
gapless one-dimensional charge density wave (CDW) phase for a large in-plane
field. We thus provide a full phase diagram of the $\nu = 7/3$ state in a
tilted magnetic field, demonstrating the existence of the FQHN, which aligns
with recent resonant inelastic light scattering (RILS) experimental
observations.
