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subgroup

[suhb-groop] /ˈsʌbˌgrup/
noun
1.
a subordinate group; a division of a group.
2.
Chemistry. a division of a group in the periodic table.
3.
Mathematics. a subset of a group that is closed under the group operation and in which every element has an inverse in the subset.
Origin
1835-1845
1835-45; sub- + group
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for subgroups

subgroup

/ˈsʌbˌɡruːp/
noun
1.
a distinct and often subordinate division of a group
2.
a mathematical group whose members are members of another group, both groups being subject to the same rule of combination
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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