The massive use of Facebook opens new horizons in the areas of information and communications technology, which induced changes in pedagogy. Towards this direction, we implemented an educational application for learning languages. In order to cover the heterogeneous group of people to which educational applications are targeted and to further emphasize the educational aspect of Facebook, we implemented and present the multivariate clustering for group learning in Facebook. By the incorporation of the multiple parameter based clustering, the problem of grouping students, in order to provide sophisticated user models, is further treated. Multivariate clustering is conducted by the k-means algorithm which takes as input, to initialize the process, multiple students' characteristics.