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Green Township is one of fourteen townships in Morgan County, Indiana, United States. As of the 2010 census, its population was 3,520 and it contained 1,317 housing units.

Geography

According to the 2010 census, the township has a total area of 33.47 sqmi, of which 33.15 sqmi (or 99.04%) is land and 0.32 sqmi (or 0.96%) is water.

Unincorporated towns

* Adams at
* Chetwynd at

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