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The bilayered ruthenate Ca₃Ru₂O₇ is known to be an antiferromagnetic (AFM) insulator with a charge gap of 0.1 eV. It undergoes a first-order metal-insulator transition at 48 K and an AFM transition at 56 K. Of a wide range of exotic phenomena of this system, the conflicting hallmarks of Shubnikov–de Haas (SdH)quantum oscillations and the AFM insulating state are the focus of our recent reinvestigation, which includes measurements of magnetic torque and magnetoresisticity at magnetic fields up to 36 Tesla at NHMFL. Our new results confirm strong SdH oscillations with low frequencies ranging from 20 Tesla to 120 Tesla. It is also remarkable that Ca₃Ru₂O₇ features a pronounced resistivity saturation below 15 K, which, along with other phenomena, may signal a novel state existent in this oxide. All results will be presented and discussed along with comparison drawn with other relevant compounds.