  The lightly hole-doped system CeOs1.94Re0.06Al10 has been studied by muon
spin relaxation and neutron diffraction measurements. A long-range
antiferromagnetic ordering of the Ce-sublattice with substantially reduced
value of the magnetic moment 0.18(1) \mu_B has been found below T_N = 21 K.
Similar to the undoped parent compound, the magnetic ground state of
CeOs1.94Re0.06Al10 preserves the anomalous direction of the ordered moments
along the c-axis. The obtained result reveals the crucial difference between
electron- and hole-doping effects on the magnetic ordering in CeOs2Al10. The
former suppresses the anisotropic c-f hybridization and promotes localized Ce
moments. On the contrary, the latter increases the hybridization and shifts the
system towards delocalized non-magnetic state.
