  The nuclear Chirality-Parity (ChP) violation, a simultaneous breaking of
chiral and reflection symmetries in the intrinsic frame, is investigated with a
reflection-asymmetric triaxial particle rotor model. A new symmetry for an
ideal ChP violation system is found and the corresponding selection rules of
the electromagnetic transitions are derived. The fingerprints for the ChP
violation including the nearly degenerate quartet bands and the selection rules
of the electromagnetic transitions are provided. These fingerprints are
examined for ChP quartet bands by taking a two-$j$ shell $h_{11/2}$ and
$d_{5/2}$ with typical energy spacing for $A=$ 130 nuclei.
