The difference between Order and Sort

Order as a noun (countable):

Arrangement, disposition, or sequence.

Order as a noun (countable):

A position in an arrangement, disposition, or sequence.

Order as a noun (uncountable):

The state of being well arranged.

Order as a noun (countable):

Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet.

Order as a noun (countable):

A command.

Order as a noun (countable):

A request for some product or service; a commission to purchase, sell, or supply goods.

Order as a noun (countable):

A group of religious adherents, especially monks or nuns, set apart within their religion by adherence to a particular rule or set of principles

Order as a noun (countable):

An association of knights

Order as a noun:

any group of people with common interests.

Order as a noun (countable):

A decoration, awarded by a government, a dynastic house, or a religious body to an individual, usually for distinguished service to a nation or to humanity.

Order as a noun (countable, taxonomy):

A rank in the classification of organisms, below class and above family; a taxon at that rank.

Order as a noun:

A number of things or persons arranged in a fixed or suitable place, or relative position; a rank; a row; a grade; especially, a rank or class in society; a distinct character, kind, or sort.

Order as a noun:

An ecclesiastical grade or rank, as of deacon, priest, or bishop; the office of the Christian ministry; often used in the plural.

Order as a noun (architecture):

The disposition of a column and its component parts, and of the entablature resting upon it, in classical architecture; hence (as the column and entablature are the characteristic features of classical architecture) a style or manner of architectural designing.

Order as a noun (cricket):

The sequence in which a side's batsmen bat; the batting order.

Order as a noun (electronics):

a power of polynomial function in an electronic circuit's block, such as a filter, an amplifier, etc.

Order as a noun (chemistry):

The overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products.

Order as a noun (set theory):

The cardinality, or number of elements in a set, group, or other structure regardable as a set.

Order as a noun (group theory, of an element of a group):

For given group G and element g ∈ G, the smallest positive natural number n, if it exists, such that (using multiplicative notation), gn = e, where e is the identity element of G; if no such number exists, the element is said to be of infinite order (or sometimes zero order).

Order as a noun (graph theory):

The number of vertices in a graph.

Order as a noun (order theory):

A partially ordered set.

Order as a noun (order theory):

The relation on a partially ordered set that determines that it is, in fact, a partially ordered set.

Order as a noun (algebra):

The sum of the exponents on the variables in a monomial, or the highest such among all monomials in a polynomial.

Order as a verb (transitive):

To set in some sort of order.

Order as a verb (transitive):

To arrange, set in proper order.

Order as a verb (transitive):

To issue a command to.

Order as a verb (transitive):

To request some product or service; to secure by placing an order.

Order as a verb:

To admit to holy orders; to ordain; to receive into the ranks of the ministry.

Sort as a noun:

A general type.

Sort as a noun:

Manner; form of being or acting.

Sort as a noun (obsolete):

Condition above the vulgar; rank.

Sort as a noun (dated):

Group, company.

Sort as a noun (informal):

A person evaluated in a certain way (bad, good, strange, etc.).

Sort as a noun (Australia, informal):

A good-looking woman.

Sort as a noun:

An act of sorting.

Sort as a noun (computing):

An algorithm for sorting a list of items into a particular sequence.

Sort as a noun (typography):

A piece of metal type used to print one letter, character, or symbol in a particular size and style.

Sort as a noun (mathematics):

A type.

Sort as a noun (obsolete):

Chance; lot; destiny.

Sort as a noun (obsolete):

A pair; a set; a suit.

Sort as a verb (transitive):

To separate according to certain criteria.

Sort as a verb (transitive):

To arrange into some order, especially numerically, alphabetically or chronologically.

Sort as a verb (British):

To fix a problem, to handle a task; to sort out.

Sort as a verb (transitive):

To conjoin; to put together in distribution; to class.

Sort as a verb (intransitive):

To join or associate with others, especially with others of the same kind or species; to agree.

Sort as a verb (intransitive):

To suit; to fit; to be in accord; to harmonize.

Sort as a verb (transitive, obsolete):

To conform; to adapt; to accommodate.

Sort as a verb (transitive, obsolete):

To choose from a number; to select; to cull.