  Permutation groups are applied to analyze the symmetries of pentaquark
states. All possible quark configurations of the color, flavor, spin and
spatial degrees of freedom are worked out in the language of permutation
groups, and the corresponding wave functions are constructed systematically in
the form of a Yamanouchi basis. The pentaquark spatial wave functions of
various symmetries, which are derived in the harmonic-oscillator interaction,
are applied as complete bases to evaluate the low-lying light $q^4\overline q$
pentaquark mass of all configurations, where the Cornell-like potential is
employed.
