The recently reported [S. Rehmann, T. Herrmannsd\"orfer, and F. Pobel, Phys. Rev. Lett. 78, 1122 (1997)] coexistence of a nuclear magnetic order, with the critical temperature ${T}_{M}=35$ \ensuremath{\mu}K, and superconductivity, with the critical temperature ${T}_{S}=207$ mK, in ${\mathrm{AuIn}}_{2}$ is studied theoretically. It is shown that superconducting $(S)$ electrons and localized nuclear magnetic moments interact predominantly via the contact hyperfine interaction, giving rise to a spiral or domainlike magnetic order in the superconducting phase depending on the strength of magnetic anisotropy. In clean samples $(l>{\ensuremath{\xi}}_{0})$ of ${\mathrm{AuIn}}_{2}$ the oscillatory magnetic order should produce a line of nodes in the quasiparticle spectrum of $S$ electrons. The critical field ${H}_{c}(T=0)$ in the coexistence phase is reduced by a factor of 2 with respect to its bare value.
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