Important: The group package has been deprecated. Use the superseding command GroupTheory[GroupOrder] instead.

The number of elements in the given group is computed and returned.

The command with(group,grouporder) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{group}\right)\:$

$\mathrm{grouporder}\left(\mathrm{permgroup}\left(7\,\left\{\left[\left[1\,2\,3\right]\right]\,\left[\left[3\,4\,5\,6\,7\right]\right]\right\}\right)\right)$

$2520$

$\mathrm{grouporder}\left(\mathrm{grelgroup}\left(\left\{x\,y\right\}\,\left\{\left[x\,x\,y\,x\,y\,y\,y\right]\,\left[y\,y\,x\,y\,x\,x\,x\right]\right\}\right)\right)$

$56$