File:D16directedendomorphismgraphcollapsed.png

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

digraph G{       rankdir = "BT"; e[label="Identity element"]; a[label="{a,a^3, a^5,a^7} -- elements of order 8"]; a2[label="{a^2,a^6} -- squares of elements of order 8"]; a4[label="a^4, fourth power of element of order 8"]; x[label="{x,ax,a^2x,a^3x,a^4x,a^5x,a^6x,a^7x} -- elements of order 2 th\ at are not squares"]; a -> a2 -> a4 -> e;       x -> a4; }