monastic order

Monasticism (from Greek μοναχός, monachos, derived from Greek monos, alone) is the religious practice in which one renounces worldly pursuits in order to fully devote one's life to spiritual work. Many religions have monastic elements, including Buddhism, Christianity, Hinduism, Islam, and Jainism, though the expressions differ considerably. Those pursuing a monastic life are usually called monks or brothers (male), and nuns or sisters (female). Both monks and nuns may also be called monastics.
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Noun
1. a group of person living under a religious rule; "the order of Saint Benedict"
(synonym) order
(hypernym) sect, religious sect, religious order
(hyponym) Augustinian order