File:Q8latticeofsubgroups.png

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

digraph G{       rankdir = "BT"; Wholegroup[peripheries=3]; Trivialsubgroup[peripheries=3]; Center[peripheries=2]; Igroup; Jgroup; Kgroup; Trivialsubgroup->Center; Center -> Igroup; Center -> Jgroup; Center -> Kgroup; Igroup -> Wholegroup; Jgroup -> Wholegroup; Kgroup -> Wholegroup; Wholegroup[label="Whole group {1,-1,i,-i,j,-j,k,-k}"]; Igroup[label="{1,i,-1,-i}, normal"]; Jgroup[label="{1,j,-1,-j}, normal"]; Kgroup[label="{1,k,-1,-k}, normal"]; Center[label="{1,-1}, characteristic, center, commutator subgroup"]; Trivialsubgroup[label="Trivial subgroup {1}"]; }