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Existence of non-ergodic ground states is considered as a precursor to afirst order long range magnetostructural transformation.Mn$_3$Ga$_{0.45}$Sn$_{0.55}$C lies compositionally between two compounds,Mn$_3$GaC and Mn$_3$SnC, undergoing first order magnetic transformation.Mn$_3$Ga$_{0.45}$Sn$_{0.55}$C though crystallizes in single phase cubicstructure, exhibits more than one long range magnetic transitions. Using acombination of magnetization, ac susceptibility, neutron diffraction and XAFStechniques it is shown that, though Mn$_3$Ga$_{0.45}$Sn$_{0.55}$C exhibits longrange magnetic order, it presents a cluster glassy ground state due toformation of magnetically ordered Ga rich and Sn rich clusters. The clustersare big enough to present signatures of long range magnetic order but aredistributed in such way that it limits interactions between two clusters of thesame type leading to a frozen magnetic state at low temperatures. The mainreason for such a cluster glass state is the difference in local structure ofMn atoms that find themselves in Ga rich and Sn rich clusters.

Phase separated magnetic ground state in Mn$_3$Ga$_{0.45}$Sn$_{0.55}$C