What is the Monastic Order?

Ramakrishna Math is a monastic order for men brought into existence by Sri Ramakrishna (1836-1886), the great 19th century Saint of Bengal who is regarded as the Prophet of the Modern Age. Ramakrishna Math consists of monks (Sanyasins and Brahmacharins) belonging to a monastic order for men. After the passing away of their Master Sri Ramakrishna in 1886 the young disciples under the leadership of Swami Vivekananda organized themselves into a new monastic order.

Extracts from http://www.ramakrishnamath.in/order and
http://www.nationmaster.com/encyclopedia/Ramakrishna-Math