File:Z4semidirectZ4directedpowergraphcollapsed.png

The directed power graph (collapsed) of the nontrivial semidirect product of Z4 and Z4.

This picture was created using Graphviz. The generating code is as follows:

digraph G{       rankdir = "BT"; e[label="Identity element"]; xgen[label="{x,x^3} -- generators of "]; ygen[label="{y,y^3} -- generators of "]; xygen[label="{xy,xy^3} -- generators of "]; x2ygen[label="{x^2y,x^2y^3} -- generators of "]; x3ygen[label="{x^3y,x^3y^3} -- generators of "]; xy2gen[label="{xy^2,x^3y^2} -- generators of "]; x2[label="x^2, unique non-identity element in derived subgroup"]; y2[label="y^2, unique square outside derived subgroup"]; x2y2[label="x^2y^2, unique central element not a square"]; xgen -> x2; xy2gen ->x2; ygen -> y2; xygen -> y2; x2ygen -> y2; x3ygen -> y2; x2 -> e;       y2 -> e;        x2y2 -> e; }