offshoot

n. shoot growing from the main stem; branch, derivative

This article describes the game show Spin-Off. The article about a large group splitting to form a new group can be found at Spin-off.Spin-Off was a short-lived American game show from 1975 that was based on the dice game Yahtzee and starred Jim Lange, and was originally produced by Nick Nicholson and Roger Muir.
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A spin-off (or spinoff) is a new organization or entity formed by a split from a larger one, such as a television series based on a pre-existing one, or as a new company formed from a university research group or business incubator. In literature, especially in milieu based popular fictional book series like mysteries, westerns, fantasy, or science fiction the term sub-series is generally used instead of spin-off, but with essentially the same meaning.
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(n.)
That which shoots off or separates from a main stem, channel, family, race, etc.; as, the offshoots of a tree.
  

Noun
1. a natural consequence of development
(synonym) outgrowth, branch, offset
(hypernym) consequence, effect, outcome, result, event, issue, upshot