File:M16directedendomorphismgraphcollapsed.png

This graph was generated using Graphviz with the following code:

digraph G{       rankdir = "BT"; e[label="Identity element"]; a[label="{a,a^3, a^5,a^7,ax,a^3x,a^5x,a^7x} -- generators of  and of\ ; elements of order 8"]; a2[label="{a^2,a^6} -- central elements outside derived subgroup"]; a2x[label="{a^2x,a^6x} -- squares that are not fourth powers"]; x[label="{x,a^4x} -- elements of order two that are not squares"]; a4[label="a^4, unique non-identity element in derived subgroup"]; a -> a2 -> a4 -> e;       a2x -> x -> a4; }