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name of a theatrical group in New York

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Off Broadway
Off Broadway plays or musicals are performed in New York City in smaller theatres than Broadway, but larger than Off-Off-Broadway, productions.
Off Broadway theatres (venues) are those with 100 to 499 seats. The classification of theatres is governed by language in Actors' Equity contracts, rather than by whether the theatre has a Broadway address.
There was a time when, regardless of the size of the venue, a theatre could not be considered Off Broadway if it was within the "Broadway Box" - or the traditional Broadway Theatre District. This is no longer the case as evidenced by a number of theatres in that area including, but not limited to New World Stages, The Little Shubert Theatre and The Snapple Center. However, if an Off Broadway theatre is located within the "Broadway Box" then there is a slightly higher minimum salary requirement for actors per their union, Actors' Equity.

http://en.wikipedia.org/wiki/Off-Broadway
the term later became defined by the League of Off-Broadway Theatres and Producers as a professional venue in New York City with a seating capacity between 99 and 500, or a specific production that appears in such a venue, and which adheres to related trade union and other contracts.[1]
http://en.wikipedia.org/wiki/Off-Off-Broadway