GroupTheory - Maple Programming Help

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GroupTheory

 McLaughlinGroup

 Calling Sequence McLaughlinGroup()

Description

 • The McLaughlin group is a sporadic finite simple group of order equal to $898128000$.  It was discovered in 1969 by Jack McLaughlin as a group of automorphisms of the McLaughlin graph.
 • The McLaughlinGroup() command returns a permutation group isomorphic to the McLaughlin group.

Examples

 > $\mathrm{with}\left(\mathrm{GroupTheory}\right):$
 > $G≔\mathrm{McLaughlinGroup}\left(\right)$
 ${G}{:=}{McL}$ (1)
 > $\mathrm{Degree}\left(G\right)$
 ${275}$ (2)
 > $\mathrm{GroupOrder}\left(G\right)$
 ${898128000}$ (3)
 > $\mathrm{IsSimple}\left(G\right)$
 ${\mathrm{true}}$ (4)

Compatibility

 • The GroupTheory[McLaughlinGroup] command was introduced in Maple 17.