The finite difference time domain method (FDTD) is used to investigate the phenomenon of Fano resonance and near field distribution in the quadrumer clusters comprising nanorings or split nanorings with two gaps. The calculation results show that one prominent Fano resonance is observed in the extinction spectra of quadrumer cluster composed of nanorings and double Fano resonances are obversed in the quadrumer cluster comprising of split-nanorings. The new Fano resonance appearing in the spectra is caused by the split nanorings in quadrumer cluster forming the dark quadrupole mode. The spectral position and modulation depth of Fano resonance can be largely tuned by adjusting the angle and separation of the nanorings. These results can be used as guideline in multiwavelength surface-enhanced Raman scattering and biosensing.