arranged or disposed in a neat, tidy manner or in a regular sequence

an orderly desk.

observant of or governed by system or method, as persons or the mind.

characterized by or observant of law, rule, or discipline; well-behaved; law-abiding

an orderly assemblage of citizens.

pertaining to or charged with the communication or execution of orders.

methodically; regularly.

according to established order or rule.

Military . an enlisted soldier assigned to perform various chores for a commanding officer or group of officers.

a hospital attendant having general, nonmedical duties.

noun

order , organization , pattern , plan , system , systematization , systemization