The rotational bands of \(^{55}\) Cr are studied with deformed Hartree–Fock (HF) and angular momentum projection techniques. Energy spectra are calculated up to high spin values \(J={37/2}^+\) . Configuration mixing is performed between different rotational aligned (RAL) bands and the band-mixed result is compared with the experimental bands. One-, three- and five-quasiparticle bands are studied here. Except these, we also predict some structural properties like magnetic dipole moment ( \(\mu \) ), static quadrupole moment ( \(Q_0\) ) and spectroscopic quadrupole moment ( \(Q_s\) ) along with deformation parameter for future verification. We used our microscopic model to predict band structures in the high K region too. Reduced transition probabilities, i.e. B(E2) and B(M1) values are calculated for all bands. Signature effect has been observed in low K spectra as well as in reduced transition probabilities.