The Harada-Norton group of order $273030912000000$ is one of the sporadic finite simple groups.  It was discovered independently by Koichi Harada in 1976, and by Simon Norton in 1975, using different methods.  It can be described as a centralizer of an element of order $5$ in the Monster.

The HaradaNortonGroup() command returns a symbolic group representing the Harada-Norton group.

In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.

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

$G≔\mathrm{HaradaNortonGroup}\left(\right)$

$G≔\mathbf{HN}$

$\mathrm{GroupOrder}\left(G\right)$

$273030912000000$

$\mathrm{IsSimple}\left(G\right)$

$\mathrm{true}$

The GroupTheory[HaradaNortonGroup] command was introduced in Maple 17.

For more information on Maple 17 changes, see Updates in Maple 17.