  We calculate one-loop renormalization factors of three-quark operators, which
appear in the low energy effective Lagrangian of the nucleon decay, for
$O(a)$-improved quark action and gauge action including six-link loops. This
calculation is required to predict the hadronic nucleon decay matrix elements
in the continuum regularization scheme using lattice QCD. We present detailed
numerical results of the one-loop coefficients for general values of the clover
coefficients employing the several improved gauge actions in the Symanzik
approach and in the Wilson's renormalization group approach. The magnitudes of
the one-loop coefficients for the improved gauge actions show sizable reduction
compared to those for the plaquette action.
