extraregular

Not covered by a rule or rules; not fitting into a system.

If any extraregular example hath ever happened , that may be made use of to affright men[…]

Mathilda became a nun, and Adelheid cherished her monastic friendships with Cluniac monks, but extraregular widowed piety was also presented as a viable option for widowed holiness.

Hypernormal.

Transformed deviants tend to become not merely moral but hypermoral. They are not simply "reformed" or "rehabilitated" into regular people with regular jobs and regular lives. They become extraregular people , have extraregular jobs ( even if the job is not the way they make a living ) , and live extraregular lives .

Meeting stricter criteria than those which define a regular (object, function, space, etc)