Largely it is the public sector banks that are active in the education loan space since they have a bigger network. But there are couple of non-banking finance companies which you can consider. Avanse, which is a subsidiary of DHFL and Credila, which is a subsidiary of HDFC Ltd.
Easier to get
NBFCs have easier terms and conditions than banks and will give loans even if you are applying for an off-beat course like music or photography. A PSU bank may not because it will look at the job prospects after completition of the course.
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NBFCs also give higher amounts since it is the only line of business for them unlike banks which have several other products.
Better service, hand-holding
For the same reason NBFCs offer better service and give value-added services such as help with visa or counselling, especially for students going for foreign studies. These services may not be offered by banks.