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Multilayered cuprates possess not only the highest superconductingtemperature transition but also offer a unique platform to study disorder-freeCuO$_2$ planes and the interplay between competing orders withsuperconductivity. Here, we study the underdoped trilayer cuprateHgBa$_2$Ca$_2$Cu$_3$O$_{8+ \delta}$ and we report the first quantum oscillationand Hall effect measurements in magnetic field up to 88 T. A careful analysisof the complex spectra of quantum oscillations strongly supports thecoexistence of an antiferromagnetic order in the inner plane and a charge orderin the outer planes. The presence of an ordered antiferromagnetic metallicstate that extends deep in the superconducting phase is a key ingredient thatsupports magnetically mediated pairing interaction in cuprates.

Evidence for antiferromagnetism coexisting with charge order in the trilayer cuprate HgBa$_2$Ca$_2$Cu$_3$O$_{8+ \delta}$