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We show how one can associate to a given class of finite type G-structures a classifying Lie algebroid. The corresponding Lie groupoid gives models for the different geometries that one can find in the class, and encodes also the different types of symmetry groups.doi:10.11606/issn.2316-9028.v2i2p263-283 fatcat:ahqhwt7yejdxtoeksxzjomepaa