Lawful deception and law exemption
Non military law enforcement agencies are sometimes referred to as civilian police, but usually only in contexts where they need to be distinguished from military police.
LEAs can be responsible for the enforcement of laws affecting the behaviour of people or the general community, for example the New York City Police Department, or the behaviour of commercial organisations and corporations, for example the Australian Securities and Investments Commission, of for the benefit of the country as a whole, for example the United Kingdom’s Her Majesty's Revenue and Customs.
A LEA can be responsible for enforcing secular law and-or religious law, for example Sharia or Halakha. The significant majority of LEAs around the world are secular, their governing bodies separating religious matters from the governance of their subjects. Religious law enforcement agencies, for example Saudi Arabia’s Mutaween, exist where full separation of government and religious doctrine has not occurred, and are generally referred to as police agencies, typically religious police, because their primary responsibility is for social order within their jurisdiction and the relevant social order being highly codified as laws.