# Dihedral group:D24

From Groupprops

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## Definition

This group is the dihedral group of order .

## GAP implementation

### Group ID

This finite group has order 24 and has ID 6 among the groups of order 24 in GAP's SmallGroup library. For context, there are 15 groups of order 24. It can thus be defined using GAP's SmallGroup function as:

`SmallGroup(24,6)`

For instance, we can use the following assignment in GAP to create the group and name it :

`gap> G := SmallGroup(24,6);`

Conversely, to check whether a given group is in fact the group we want, we can use GAP's IdGroup function:

`IdGroup(G) = [24,6]`

or just do:

`IdGroup(G)`

to have GAP output the group ID, that we can then compare to what we want.

### Other descriptions

The group can be defined using GAP's DihedralGroup function:

`DihedralGroup(24)`