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We solve a long-standing problem about a theoretical description of the uppercritical magnetic field, parallel to conducting layers and perpendicular toconducting chains, in (TMTSF)$_2$ClO$_4$ superconductor. In particular, weexplain why the experimental upper critical field, $H^{b'}_{c2} \simeq 6 \ T$,is higher than both the quasi-classical upper critical field and Clogstonparamagnetic limit. We show that this property is due to the coexistence of thehidden Reentrant and Larkin-Ovchinnikov-Fulde-Ferrell phases in a magneticfield in a form of three plane waves with non-zero momenta of the Cooper pairs.Our results are in good qualitative and quantitative agreement with the recentexperimental measurements of $H^{b'}_{c2}$ and support a singlet d-wave likescenario of superconductivity in (TMTSF)$_2$ClO$_4$.

Hidden Reentrant and Larkin-Ovchinnikov-Fulde-Ferrell Superconducting Phases in a Magnetic Field in (TMTSF)$_2$ClO$_4$