The Rudvalis group is a sporadic finite simple group of order $145926144000$. It is one of the pariahs, not being a subquotient of the Monster, and was discovered by Arunas Rudvalis and constructed by J. H. Conway and D. B. Wales in 1973.

The RudvalisGroup() command returns a permutation group isomorphic to the Rudvalis group.

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

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

$G≔\mathrm{RudvalisGroup}\left(2\right)$

$G≔Ru$

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

$4060$

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

$145926144000$

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

$\mathrm{true}$

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

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