What influence does India have on Bangladesh?

In South Asia, India has clear influence on Nepal, and Bhutan. It won't be an exaggeration to say that India controls their affairs. India is also active in Afghanistan.

Regarding Sri Lanka, India's influence considerably waned after Tamil debacle. Maldives seems to be trying its best to get rid of Indian sphere of influence.

Is Bangladesh living in India or Chinese sphere of influence? If India, how much influence is India able to exert on Bangladesh?

Explain with examples.