# Template:GAP ID

From Groupprops

### Group ID

This finite group has [[groups of order {{{1}}}|order {{{1}}}]] and has ID {{{2}}} among the groups of order {{{1}}} in GAP's SmallGroup library. It can thus be defined using GAP's SmallGroup function as:

`SmallGroup({{{1}}},{{{2}}})`

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

`gap> G := SmallGroup({{{1}}},{{{2}}});`

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

`IdGroup(G) = [{{{1}}},{{{2}}}]`

or just do:

`IdGroup(G)`

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