# Element structure of general affine group of degree two over a finite field

From Groupprops

## Contents |

This article gives specific information, namely, element structure, about a family of groups, namely: general affine group of degree two.

View element structure of group families | View other specific information about general affine group of degree two

This article gives the element structure of the general affine group of degree two over a finite field. Similar structure works over an infinite field or a field of infinite characteristic, with suitable modification. For more on that, see element structure of general affine group of degree two over a field.

The discussion here builds upon the discussion of element structure of general linear group of degree two over a finite field.

## Summary

Item | Value |
---|---|

order | |

exponent | ? |

number of conjugacy classes |

## Particular cases

(field size) | (underlying prime, field characteristic) | general affine group | order of the group (= ) | number of conjugacy classes (= ) | element structure page |
---|---|---|---|---|---|

2 | 2 | symmetric group:S4 | 24 | 5 | element structure of symmetric group:S4 |

3 | 3 | general affine group:GA(2,3) | 432 | 11 | element structure of general affine group:GA(2,3) |

4 | 2 | general affine group:GA(2,4) | 2880 | 19 | |

5 | 5 | general affine group:GA(2,5) | 12000 | 29 |