On the groups whose lattice of subgroups is relatively complemented

A locally finite group $G$ has the relatively complemented lattice of the subgroups if and only if (1) $G_1 \vartriangleleft G_2\vartriangleleft G_3\Rightarrow G_1\vartriangleleft G_3$ each subgroups $G_i$ in $G$ and (2) every Sylow subgroup of $G$ is elementary abelian and belongs to some complete Sylow base of $G$.