The Collaborative International Dictionary of English v.0.48:

ordered \ordered\ adj.
   1. having or evincing a systematic arrangement; especially,
      having elements succeeding in order according to rule; as,
      an ordered sequence; an ordered pair. Opposite of
      disordered or unordered. [Narrower terms:
      abecedarian, alphabetical; consecutive, sequent,
      sequential, serial, successive ]
      [WordNet 1.5 +PJC]

   2. arranged in order.

   Syn: orderly, regulated.
        [WordNet 1.5]

   3. in good order.

   Syn: so(predicate).
        [WordNet 1.5]

   4. disposed or placed in a particular kind of order. OPposite
      of {disarranged.

   Syn: arranged.
        [WordNet 1.5]

   5. arranged according to a quantitative criterion.

   Syn: graded, ranked.
        [WordNet 1.5 +PJC]

   6. marked by an orderly, logical, and aesthetically
      consistent relation of parts.

   Syn: consistent, logical, orderly.
        [WordNet 1.5]

The Collaborative International Dictionary of English v.0.48:

Order \Or"der\, v. t. [imp. & p. p. Ordered; p. pr. & vb. n.
   Ordering.] [From Order, n.]
   1. To put in order; to reduce to a methodical arrangement; to
      arrange in a series, or with reference to an end. Hence,
      to regulate; to dispose; to direct; to rule.
      [1913 Webster]

            To him that ordereth his conversation aright. --Ps.
                                                  1. 23.
      [1913 Webster]

            Warriors old with ordered spear and shield.
                                                  --Milton.
      [1913 Webster]

   2. To give an order to; to command; as, to order troops to
      advance.
      [1913 Webster]

   3. To give an order for; to secure by an order; as, to order
      a carriage; to order groceries.
      [1913 Webster]

   4. (Eccl.) To admit to holy orders; to ordain; to receive
      into the ranks of the ministry.
      [1913 Webster]

            These ordered folk be especially titled to God.
                                                  --Chaucer.
      [1913 Webster]

            Persons presented to be ordered deacons. --Bk. of
                                                  Com. Prayer.
      [1913 Webster]

   Order arms (Mil.), the command at which a rifle is brought
      to a position with its butt resting on the ground; also,
      the position taken at such a command.
      [1913 Webster]

WordNet (r) 3.0 (2006):

ordered
    adj 1: having a systematic arrangement; especially having
           elements succeeding in order according to rule; "an
           ordered sequence" [ant: disordered, unordered]
    2: disposed or placed in a particular kind of order; "the
       carefully arranged chessmen"; "haphazardly arranged
       interlobular septa"; "comfortable chairs arranged around the
       fireplace" [syn: arranged, ordered] [ant: disarranged]
    3: marked by an orderly, logical, and aesthetically consistent
       relation of parts; "a coherent argument" [syn: coherent,
       consistent, logical, ordered] [ant: incoherent]

Moby Thesaurus II by Grady Ward, 1.0:

92 Moby Thesaurus words for "ordered":
   accordant, aligned, alike, arranged, arrayed, assorted, automatic,
   balanced, businesslike, categorized, classified, composed,
   concinnate, concinnous, consistent, consonant, constant,
   constituted, continuous, correspondent, disposed, equable, equal,
   euphonic, euphonical, euphonious, even, fixed, flat, flowing,
   fluent, formal, graded, grouped, habitual, harmonious, harmonized,
   homogeneous, immutable, in hand, invariable, level, marshaled,
   measured, mechanical, methodic, methodical, methodized, monolithic,
   normal, normalized, of a piece, orderly, organized, persistent,
   placed, ranged, ranked, regular, regular as clockwork, regularized,
   regulated, robotlike, routine, routinized, smooth, smooth-sounding,
   sorted, stable, standardized, steadfast, steady, sweet,
   symmetrical, synchronized, systematic, systematized, tripping,
   unbroken, unchangeable, unchanged, unchanging, undeviating,
   undifferentiated, undiversified, uniform, unruffled, unvaried,
   unvarying, usual, well-ordered, well-regulated