Any incorporated society, order or supreme lodge, without capital stock, including one exempted under subdivision (2) of subsection (a) of section 38a-625 whether incorporated or not, conducted solely for the benefit of its members and their beneficiaries and not for profit, operated on a lodge system with ritualistic form of work, having a representative form of government, and that makes provision for the payment of benefits in accordance with sections 38a-595 to 38a-626, inclusive, 38a-631 to 38a-640, inclusive, and 38a-800, is declared to be a fraternal benefit society. When used in sections 38a-595 to 38a-626, inclusive, 38a-631 to 38a-640, inclusive, and 38a-800, “society”, unless otherwise indicated, means fraternal benefit society and “premiums” means premiums, rates or other required contributions by whatever name known.