The difference between Group and Sort

Group as a noun:

A number of things or persons being in some relation to one another.

Group as a noun (group theory):

A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.

Group as a noun (geometry, archaic):

An effective divisor on a curve.

Group as a noun:

A (usually small) group of people who perform music together.

Group as a noun (astronomy):

A small number (up to about fifty) of galaxies that are near each other.

Group as a noun (chemistry):

A column in the periodic table of chemical elements.

Group as a noun (chemistry):

A functional group.

Group as a noun (sociology):

A subset of a culture or of a society.

Group as a noun (military):

An air force formation.

Group as a noun (geology):

A collection of formations or rock strata.

Group as a noun (computing):

A number of users with same rights with respect to accession, modification, and execution of files, computers and peripherals.

Group as a noun:

An element of an espresso machine from which hot water pours into the portafilter.

Group as a noun (music):

A number of eighth, sixteenth, etc., notes joined at the stems; sometimes rather indefinitely applied to any ornament made up of a few short notes.

Group as a noun (sports):

A set of teams playing each other in the same division, while not during the same period playing any teams that belong to other sets in the division.

Group as a noun (business):

A commercial organization.

Group as a verb (transitive):

To put together to form a group.

Group as a verb (intransitive):

To come together to form a group.

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.