In this study, we propose the concept of t-intuitionistic fuzzy order of an Ski de fond - Homme - Skis - Classic element of a t-intuitionistic fuzzy subgroup (t-IFSG) of a finite group and examine different important algebraic properties of this phenomena.We also prove many useful Quilt Labels algebraic aspects of this notion for a cyclic group.Moreover, we extend this ideology to define t-intuitionistic fuzzy order and index of a t-IFSG of group.In addition, we establish t-intuitionistic fuzzification of Langrange’s theorem.