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The magnetic ground state of the Eu$^{2+}$ moments in a series ofEu(Fe$_{1-x}$Co$_{x}$)$_{2}$As$_{2}$ single crystals grown from the Sn flux hasbeen investigated in detail by neutron diffraction measurements. Combined withthe results from the macroscopic properties (resistivity, magneticsusceptibility and specific heat) measurements, a phase diagram describing howthe Eu magnetic order evolves with Co doping inEu(Fe$_{1-x}$Co$_{x}$)$_{2}$As$_{2}$ is established. The ground-state magneticstructure of the Eu$^{2+}$ spins is found to develop from the A-typeantiferromagnetic (AFM) order in the parent compound, via the A-type canted AFMstructure with some net ferromagnetic (FM) moment component along thecrystallographic $\mathit{c}$ direction at intermediate Co doping levels,finally to the pure FM order at relatively high Co doping levels. The orderingtemperature of Eu declines linearly at first, reaches the minimum value of16.5(2) K around $\mathit{x}$ = 0.100(4), and then reverses upwards withfurther Co doping. The doping-induced modification of the indirectRuderman-Kittel-Kasuya-Yosida (RKKY) interaction between the Eu$^{2+}$ moments,which is mediated by the conduction $\mathit{d}$ electrons on the (Fe,Co)Aslayers, as well as the change of the strength of the direct interaction betweenthe Eu$^{2+}$ and Fe$^{2+}$ moments, might be responsible for the change of themagnetic ground state and the ordering temperature of the Eu sublattice. Inaddition, for Eu(Fe$_{1-x}$Co$_{x}$)$_{2}$As$_{2}$ single crystals with 0.10$\leqslant$ $\mathit{x}$ $\leqslant$ 0.18, strong ferromagnetism from the Eusublattice is well developed in the superconducting state, where a spontaneousvortex state is expected to account for the compromise between the twocompeting phenomena.

Phase diagram of Eu magnetic ordering in Sn-flux-grown Eu(Fe$_{1-x}$Co$_{x}$)$_{2}$As$_{2}$ single crystals