  The recently reported coexistence of a magnetic order, with the critical
temperature T_M=35 \mu*K, and superconductivity, with the critical temperature
T_S=207 m*K, in AuIn_2 is studied theoretically. It is shown that
superconducting (S) electrons and localized nuclear magnetic moments (LM's)
interact dominantly via the contact hyperfine (EX) interaction, giving rise to
a spiral (or domain-like) magnetic order in superconducting phase. The
electromagnetic interaction between LM's and S electrons is small compared to
the EX one giving minor contribution to the formation of the oscillatory
magnetic order. In clean samples (l>\xi_0) of AuIn$_2$ the oscillatory magnetic
order should produce a line of nodes in the quasiparticle spectrum of S
electrons giving rise to the power law behavior. The critical field H_c(T=0) in
the coexistence phase is reduced by factor two with respect to its bare value.
