Using algebraic idea we introduce an creation to groupoid notion; that is, we provide primary groupoid properties including versions of inverses and proprietary systems additionally to studying subgroupoids, extensive subgroupoids, and well-known subgroupoids. We additionally delivered the isomorphism of groupoid isomorphism and its applications and determined the equivalent of Zassenhaus Lemma and therefore the Jordan-Hölder theorem of groupoids. Finally, we have been endorsed by way of means of the Ehresmann-Schein-Nambooripad theorem to reinforce the impact of R. Exel on the one-to-one connection among certain institution movements and therefore the movements of opposing semigroups.