  We present the results of a combined $^7$Li NMR and diffraction study on
LiGa$_{0.95}$In$_{0.05}$Cr$_4$O$_8$, a member of
LiGa$_{1-x}$In$_{x}$Cr$_4$O$_8$ "breathing" pyrochlore family. Via specific
heat and NMR measurements, we find that the complex sequence of first-order
transitions observed for $x=0$ is replaced by a single, apparently second-order
transition at $T_f=11$ K. Neutron and X-ray diffraction rule out both
structural symmetry lowering and magnetic long-range order as the origin of
this transition. Instead, reverse Monte Carlo fitting of the magnetic diffuse
scattering indicates that the low temperature phase may be described as a
collinear spin nematic state, characterized by a quadrupolar order parameter.
This state also shows signs of short range order between collinear spin
arrangements on tetrahedra, revealed by mapping the reverse Monte Carlo spin
configurations onto a three-state color model describing the manifold of
nematic states.
