# Subgroup structure of general affine group:GA(2,3)

From Groupprops

## Contents |

This article gives specific information, namely, subgroup structure, about a particular group, namely: general affine group:GA(2,3).

View subgroup structure of particular groups | View other specific information about general affine group:GA(2,3)

## Placeholder information

Full information on the subgroup structure is not yet available. Below are listed some subgroups of interest:

- Special affine group:SA(2,3) is a subgroup of order 216 and index 2.
- General affine group:GA(1,9) can be viewed as a subgroup of order 72 and index 6.
- Mathieu group:M9 can be viewed as a subgroup of order 72 and index 6.
- General linear group:GL(2,3) is a subgroup of order 48 and index 9. It is a retract, i.e., the non-normal part of a semidirect product. Thus, all its subgroups (see subgroup structure of general linear group:GL(2,3)) also occur as subgroups of the whole group.