# General linear group:GL(3,3)

From Groupprops

This article is about a particular group, i.e., a group unique upto isomorphism. View specific information (such as linear representation theory, subgroup structure) about this groupView a complete list of particular groups (this is a very huge list!)[SHOW MORE]

## Definition

This group is defined in the following equivalent ways:

- It is the general linear group of degree three over field:F3.
- It is the external direct product of projective special linear group:PSL(3,3) and cyclic group:Z2.

## Arithmetic functions

Function | Value | Similar groups | Explanation |
---|---|---|---|

order (number of elements, equivalently, cardinality or size of underlying set) | 11232 | groups with same order | order of a general linear group of degree three over a finite field with elements is . For , we get |

exponent of a group | 312 | groups with same order and exponent of a group | groups with same exponent of a group |

## GAP implementation

Description | Functions used |
---|---|

GL(3,3) or GeneralLinearGroup(3,3) |
GAP:GL |