Straighten subgroup lattice












5















I would like to straighten out the top node and the bottom node so that they create a more tidy lattice. I found this post here, but I wasn't able to follow what was going on. Here is what I have so far



I just think that my subgroup diagram can be a bit...neater. For example, here is what my book's diagram looks like. How do I get my diagram to look more like the book diagram?



enter image description here



documentclass[12pt]{article}
usepackage{tikz}
usetikzlibrary{positioning}
usepackage{amsfonts}


begin{document}
begin{figure}
centering
newcommand{mydistance}{.6cm}
begin{tikzpicture}[node distance=1.5cm]
title{Subgroup Diagram of $Z_{12}$}
node(A1) {$langle 12 rangle = mathbb{Z}_{12}$};
node(A2) [below left of= A1] {$langle 6 rangle$};
node(A3) [right of=A2] {$langle 4 rangle$};
node(A4) [below left of=A2] {$langle 3 rangle$};
node(A5) [below left of=A3] {$langle 2 rangle$};
node(A6) [below right of=A4] {$langle 1 rangle$};

draw(A1) -- (A2);
draw(A1) -- (A3);
draw(A2) -- (A4);
draw(A2) -- (A5);
draw(A3) -- (A5);
draw(A4) -- (A6);
draw(A5) -- (A6);
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}









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Evan Kim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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    5















    I would like to straighten out the top node and the bottom node so that they create a more tidy lattice. I found this post here, but I wasn't able to follow what was going on. Here is what I have so far



    I just think that my subgroup diagram can be a bit...neater. For example, here is what my book's diagram looks like. How do I get my diagram to look more like the book diagram?



    enter image description here



    documentclass[12pt]{article}
    usepackage{tikz}
    usetikzlibrary{positioning}
    usepackage{amsfonts}


    begin{document}
    begin{figure}
    centering
    newcommand{mydistance}{.6cm}
    begin{tikzpicture}[node distance=1.5cm]
    title{Subgroup Diagram of $Z_{12}$}
    node(A1) {$langle 12 rangle = mathbb{Z}_{12}$};
    node(A2) [below left of= A1] {$langle 6 rangle$};
    node(A3) [right of=A2] {$langle 4 rangle$};
    node(A4) [below left of=A2] {$langle 3 rangle$};
    node(A5) [below left of=A3] {$langle 2 rangle$};
    node(A6) [below right of=A4] {$langle 1 rangle$};

    draw(A1) -- (A2);
    draw(A1) -- (A3);
    draw(A2) -- (A4);
    draw(A2) -- (A5);
    draw(A3) -- (A5);
    draw(A4) -- (A6);
    draw(A5) -- (A6);
    end{tikzpicture}
    caption{Subgroup Diagram of $mathbb{Z}_{12}$}
    end{figure}
    end{document}









    share|improve this question







    New contributor




    Evan Kim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.























      5












      5








      5








      I would like to straighten out the top node and the bottom node so that they create a more tidy lattice. I found this post here, but I wasn't able to follow what was going on. Here is what I have so far



      I just think that my subgroup diagram can be a bit...neater. For example, here is what my book's diagram looks like. How do I get my diagram to look more like the book diagram?



      enter image description here



      documentclass[12pt]{article}
      usepackage{tikz}
      usetikzlibrary{positioning}
      usepackage{amsfonts}


      begin{document}
      begin{figure}
      centering
      newcommand{mydistance}{.6cm}
      begin{tikzpicture}[node distance=1.5cm]
      title{Subgroup Diagram of $Z_{12}$}
      node(A1) {$langle 12 rangle = mathbb{Z}_{12}$};
      node(A2) [below left of= A1] {$langle 6 rangle$};
      node(A3) [right of=A2] {$langle 4 rangle$};
      node(A4) [below left of=A2] {$langle 3 rangle$};
      node(A5) [below left of=A3] {$langle 2 rangle$};
      node(A6) [below right of=A4] {$langle 1 rangle$};

      draw(A1) -- (A2);
      draw(A1) -- (A3);
      draw(A2) -- (A4);
      draw(A2) -- (A5);
      draw(A3) -- (A5);
      draw(A4) -- (A6);
      draw(A5) -- (A6);
      end{tikzpicture}
      caption{Subgroup Diagram of $mathbb{Z}_{12}$}
      end{figure}
      end{document}









      share|improve this question







      New contributor




      Evan Kim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.












      I would like to straighten out the top node and the bottom node so that they create a more tidy lattice. I found this post here, but I wasn't able to follow what was going on. Here is what I have so far



      I just think that my subgroup diagram can be a bit...neater. For example, here is what my book's diagram looks like. How do I get my diagram to look more like the book diagram?



      enter image description here



      documentclass[12pt]{article}
      usepackage{tikz}
      usetikzlibrary{positioning}
      usepackage{amsfonts}


      begin{document}
      begin{figure}
      centering
      newcommand{mydistance}{.6cm}
      begin{tikzpicture}[node distance=1.5cm]
      title{Subgroup Diagram of $Z_{12}$}
      node(A1) {$langle 12 rangle = mathbb{Z}_{12}$};
      node(A2) [below left of= A1] {$langle 6 rangle$};
      node(A3) [right of=A2] {$langle 4 rangle$};
      node(A4) [below left of=A2] {$langle 3 rangle$};
      node(A5) [below left of=A3] {$langle 2 rangle$};
      node(A6) [below right of=A4] {$langle 1 rangle$};

      draw(A1) -- (A2);
      draw(A1) -- (A3);
      draw(A2) -- (A4);
      draw(A2) -- (A5);
      draw(A3) -- (A5);
      draw(A4) -- (A6);
      draw(A5) -- (A6);
      end{tikzpicture}
      caption{Subgroup Diagram of $mathbb{Z}_{12}$}
      end{figure}
      end{document}






      tikz-pgf nodes






      share|improve this question







      New contributor




      Evan Kim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question







      New contributor




      Evan Kim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|improve this question




      share|improve this question






      New contributor




      Evan Kim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked yesterday









      Evan KimEvan Kim

      1333




      1333




      New contributor




      Evan Kim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      Evan Kim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      Evan Kim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






















          2 Answers
          2






          active

          oldest

          votes


















          5














          Be careful with such positioning options!



          documentclass[tikz]{standalone}
          usepackage{amssymb}
          usetikzlibrary{positioning}
          begin{document}
          begin{tikzpicture}[every node/.style={inner sep=1pt},node distance=1.5cm]
          node(A1) {$langle 12 rangle$};
          node(A2) [below left of= A1] {$langle 6 rangle$};
          node(A3) [below right of=A1] {$langle 4 rangle$};
          node(A4) [below left of=A2] {$langle 3 rangle$};
          node(A5) [below left of=A3] {$langle 2 rangle$};
          node(A6) [below right of=A4] {$langle 1 rangle$};
          node[right=0pt of A1,inner xsep=0pt] {$= mathbb{Z}_{12}$};
          draw(A1) -- (A2);
          draw(A1) -- (A3);
          draw(A2) -- (A4);
          draw(A2) -- (A5);
          draw(A3) -- (A5);
          draw(A4) -- (A6);
          draw(A5) -- (A6);
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer
























          • what does [every node/.style={inner sep=1pt},node distance=1.5cm] do after begin{tikzpicture}?

            – Evan Kim
            yesterday











          • @EvanKim node distance is already there. every node set the style for every nodes inside the picture, here I use option inner sep for every nodes. To know what this option does, simply change it to e.g. 2pt or 1ex, etc.

            – JouleV
            yesterday



















          4














          I love positioning but may not necessarily use it when things should be on a grid.



          documentclass[12pt]{article}
          usepackage{tikz}
          usepackage{amsfonts}
          title{Subgroup Diagram of $Z_{12}$}


          begin{document}
          begin{figure}
          centering
          begin{tikzpicture}
          begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
          shape=false}]
          draw (0,0) grid (2,1);
          path (2,1) node (A1) {$langle 12 rangle = mathbb{Z}_{12}$}
          (1,1) node (A2) {$langle 6 rangle$}
          (0,1) node (A3) {$langle 3 rangle$}
          (2,0) node (A4) {$langle 4 rangle$}
          (1,0) node (A5) {$langle 2 rangle$}
          (0,0) node (A6) {$langle 1 rangle$};
          end{scope}
          end{tikzpicture}
          caption{Subgroup Diagram of $mathbb{Z}_{12}$}
          end{figure}
          end{document}


          enter image description here



          Or for Joule V ;-)



          documentclass[12pt]{article}
          usepackage{tikz}
          usepackage{amsfonts}
          title{Subgroup Diagram of $Z_{12}$}


          begin{document}
          begin{figure}
          centering
          begin{tikzpicture}
          begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
          shape=false}]
          draw (0,0) grid (2,1);
          path (2,1) node[text width=2em] (A1) {${langle 12 rangle=mathbb{Z}_{12}}$}
          (1,1) node (A2) {$langle 6 rangle$}
          (0,1) node (A3) {$langle 3 rangle$}
          (2,0) node (A4) {$langle 4 rangle$}
          (1,0) node (A5) {$langle 2 rangle$}
          (0,0) node (A6) {$langle 1 rangle$};
          end{scope}
          end{tikzpicture}
          caption{Subgroup Diagram of $mathbb{Z}_{12}$}
          end{figure}
          end{document}


          enter image description here






          share|improve this answer


























          • I think only langle 12 rangle should be in the grid, not langle 12 rangle = mathbb{Z}_{12}.

            – JouleV
            yesterday













          • @JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.

            – marmot
            yesterday












          Your Answer








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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          5














          Be careful with such positioning options!



          documentclass[tikz]{standalone}
          usepackage{amssymb}
          usetikzlibrary{positioning}
          begin{document}
          begin{tikzpicture}[every node/.style={inner sep=1pt},node distance=1.5cm]
          node(A1) {$langle 12 rangle$};
          node(A2) [below left of= A1] {$langle 6 rangle$};
          node(A3) [below right of=A1] {$langle 4 rangle$};
          node(A4) [below left of=A2] {$langle 3 rangle$};
          node(A5) [below left of=A3] {$langle 2 rangle$};
          node(A6) [below right of=A4] {$langle 1 rangle$};
          node[right=0pt of A1,inner xsep=0pt] {$= mathbb{Z}_{12}$};
          draw(A1) -- (A2);
          draw(A1) -- (A3);
          draw(A2) -- (A4);
          draw(A2) -- (A5);
          draw(A3) -- (A5);
          draw(A4) -- (A6);
          draw(A5) -- (A6);
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer
























          • what does [every node/.style={inner sep=1pt},node distance=1.5cm] do after begin{tikzpicture}?

            – Evan Kim
            yesterday











          • @EvanKim node distance is already there. every node set the style for every nodes inside the picture, here I use option inner sep for every nodes. To know what this option does, simply change it to e.g. 2pt or 1ex, etc.

            – JouleV
            yesterday
















          5














          Be careful with such positioning options!



          documentclass[tikz]{standalone}
          usepackage{amssymb}
          usetikzlibrary{positioning}
          begin{document}
          begin{tikzpicture}[every node/.style={inner sep=1pt},node distance=1.5cm]
          node(A1) {$langle 12 rangle$};
          node(A2) [below left of= A1] {$langle 6 rangle$};
          node(A3) [below right of=A1] {$langle 4 rangle$};
          node(A4) [below left of=A2] {$langle 3 rangle$};
          node(A5) [below left of=A3] {$langle 2 rangle$};
          node(A6) [below right of=A4] {$langle 1 rangle$};
          node[right=0pt of A1,inner xsep=0pt] {$= mathbb{Z}_{12}$};
          draw(A1) -- (A2);
          draw(A1) -- (A3);
          draw(A2) -- (A4);
          draw(A2) -- (A5);
          draw(A3) -- (A5);
          draw(A4) -- (A6);
          draw(A5) -- (A6);
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer
























          • what does [every node/.style={inner sep=1pt},node distance=1.5cm] do after begin{tikzpicture}?

            – Evan Kim
            yesterday











          • @EvanKim node distance is already there. every node set the style for every nodes inside the picture, here I use option inner sep for every nodes. To know what this option does, simply change it to e.g. 2pt or 1ex, etc.

            – JouleV
            yesterday














          5












          5








          5







          Be careful with such positioning options!



          documentclass[tikz]{standalone}
          usepackage{amssymb}
          usetikzlibrary{positioning}
          begin{document}
          begin{tikzpicture}[every node/.style={inner sep=1pt},node distance=1.5cm]
          node(A1) {$langle 12 rangle$};
          node(A2) [below left of= A1] {$langle 6 rangle$};
          node(A3) [below right of=A1] {$langle 4 rangle$};
          node(A4) [below left of=A2] {$langle 3 rangle$};
          node(A5) [below left of=A3] {$langle 2 rangle$};
          node(A6) [below right of=A4] {$langle 1 rangle$};
          node[right=0pt of A1,inner xsep=0pt] {$= mathbb{Z}_{12}$};
          draw(A1) -- (A2);
          draw(A1) -- (A3);
          draw(A2) -- (A4);
          draw(A2) -- (A5);
          draw(A3) -- (A5);
          draw(A4) -- (A6);
          draw(A5) -- (A6);
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer













          Be careful with such positioning options!



          documentclass[tikz]{standalone}
          usepackage{amssymb}
          usetikzlibrary{positioning}
          begin{document}
          begin{tikzpicture}[every node/.style={inner sep=1pt},node distance=1.5cm]
          node(A1) {$langle 12 rangle$};
          node(A2) [below left of= A1] {$langle 6 rangle$};
          node(A3) [below right of=A1] {$langle 4 rangle$};
          node(A4) [below left of=A2] {$langle 3 rangle$};
          node(A5) [below left of=A3] {$langle 2 rangle$};
          node(A6) [below right of=A4] {$langle 1 rangle$};
          node[right=0pt of A1,inner xsep=0pt] {$= mathbb{Z}_{12}$};
          draw(A1) -- (A2);
          draw(A1) -- (A3);
          draw(A2) -- (A4);
          draw(A2) -- (A5);
          draw(A3) -- (A5);
          draw(A4) -- (A6);
          draw(A5) -- (A6);
          end{tikzpicture}
          end{document}


          enter image description here







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered yesterday









          JouleVJouleV

          13k22663




          13k22663













          • what does [every node/.style={inner sep=1pt},node distance=1.5cm] do after begin{tikzpicture}?

            – Evan Kim
            yesterday











          • @EvanKim node distance is already there. every node set the style for every nodes inside the picture, here I use option inner sep for every nodes. To know what this option does, simply change it to e.g. 2pt or 1ex, etc.

            – JouleV
            yesterday



















          • what does [every node/.style={inner sep=1pt},node distance=1.5cm] do after begin{tikzpicture}?

            – Evan Kim
            yesterday











          • @EvanKim node distance is already there. every node set the style for every nodes inside the picture, here I use option inner sep for every nodes. To know what this option does, simply change it to e.g. 2pt or 1ex, etc.

            – JouleV
            yesterday

















          what does [every node/.style={inner sep=1pt},node distance=1.5cm] do after begin{tikzpicture}?

          – Evan Kim
          yesterday





          what does [every node/.style={inner sep=1pt},node distance=1.5cm] do after begin{tikzpicture}?

          – Evan Kim
          yesterday













          @EvanKim node distance is already there. every node set the style for every nodes inside the picture, here I use option inner sep for every nodes. To know what this option does, simply change it to e.g. 2pt or 1ex, etc.

          – JouleV
          yesterday





          @EvanKim node distance is already there. every node set the style for every nodes inside the picture, here I use option inner sep for every nodes. To know what this option does, simply change it to e.g. 2pt or 1ex, etc.

          – JouleV
          yesterday











          4














          I love positioning but may not necessarily use it when things should be on a grid.



          documentclass[12pt]{article}
          usepackage{tikz}
          usepackage{amsfonts}
          title{Subgroup Diagram of $Z_{12}$}


          begin{document}
          begin{figure}
          centering
          begin{tikzpicture}
          begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
          shape=false}]
          draw (0,0) grid (2,1);
          path (2,1) node (A1) {$langle 12 rangle = mathbb{Z}_{12}$}
          (1,1) node (A2) {$langle 6 rangle$}
          (0,1) node (A3) {$langle 3 rangle$}
          (2,0) node (A4) {$langle 4 rangle$}
          (1,0) node (A5) {$langle 2 rangle$}
          (0,0) node (A6) {$langle 1 rangle$};
          end{scope}
          end{tikzpicture}
          caption{Subgroup Diagram of $mathbb{Z}_{12}$}
          end{figure}
          end{document}


          enter image description here



          Or for Joule V ;-)



          documentclass[12pt]{article}
          usepackage{tikz}
          usepackage{amsfonts}
          title{Subgroup Diagram of $Z_{12}$}


          begin{document}
          begin{figure}
          centering
          begin{tikzpicture}
          begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
          shape=false}]
          draw (0,0) grid (2,1);
          path (2,1) node[text width=2em] (A1) {${langle 12 rangle=mathbb{Z}_{12}}$}
          (1,1) node (A2) {$langle 6 rangle$}
          (0,1) node (A3) {$langle 3 rangle$}
          (2,0) node (A4) {$langle 4 rangle$}
          (1,0) node (A5) {$langle 2 rangle$}
          (0,0) node (A6) {$langle 1 rangle$};
          end{scope}
          end{tikzpicture}
          caption{Subgroup Diagram of $mathbb{Z}_{12}$}
          end{figure}
          end{document}


          enter image description here






          share|improve this answer


























          • I think only langle 12 rangle should be in the grid, not langle 12 rangle = mathbb{Z}_{12}.

            – JouleV
            yesterday













          • @JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.

            – marmot
            yesterday
















          4














          I love positioning but may not necessarily use it when things should be on a grid.



          documentclass[12pt]{article}
          usepackage{tikz}
          usepackage{amsfonts}
          title{Subgroup Diagram of $Z_{12}$}


          begin{document}
          begin{figure}
          centering
          begin{tikzpicture}
          begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
          shape=false}]
          draw (0,0) grid (2,1);
          path (2,1) node (A1) {$langle 12 rangle = mathbb{Z}_{12}$}
          (1,1) node (A2) {$langle 6 rangle$}
          (0,1) node (A3) {$langle 3 rangle$}
          (2,0) node (A4) {$langle 4 rangle$}
          (1,0) node (A5) {$langle 2 rangle$}
          (0,0) node (A6) {$langle 1 rangle$};
          end{scope}
          end{tikzpicture}
          caption{Subgroup Diagram of $mathbb{Z}_{12}$}
          end{figure}
          end{document}


          enter image description here



          Or for Joule V ;-)



          documentclass[12pt]{article}
          usepackage{tikz}
          usepackage{amsfonts}
          title{Subgroup Diagram of $Z_{12}$}


          begin{document}
          begin{figure}
          centering
          begin{tikzpicture}
          begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
          shape=false}]
          draw (0,0) grid (2,1);
          path (2,1) node[text width=2em] (A1) {${langle 12 rangle=mathbb{Z}_{12}}$}
          (1,1) node (A2) {$langle 6 rangle$}
          (0,1) node (A3) {$langle 3 rangle$}
          (2,0) node (A4) {$langle 4 rangle$}
          (1,0) node (A5) {$langle 2 rangle$}
          (0,0) node (A6) {$langle 1 rangle$};
          end{scope}
          end{tikzpicture}
          caption{Subgroup Diagram of $mathbb{Z}_{12}$}
          end{figure}
          end{document}


          enter image description here






          share|improve this answer


























          • I think only langle 12 rangle should be in the grid, not langle 12 rangle = mathbb{Z}_{12}.

            – JouleV
            yesterday













          • @JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.

            – marmot
            yesterday














          4












          4








          4







          I love positioning but may not necessarily use it when things should be on a grid.



          documentclass[12pt]{article}
          usepackage{tikz}
          usepackage{amsfonts}
          title{Subgroup Diagram of $Z_{12}$}


          begin{document}
          begin{figure}
          centering
          begin{tikzpicture}
          begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
          shape=false}]
          draw (0,0) grid (2,1);
          path (2,1) node (A1) {$langle 12 rangle = mathbb{Z}_{12}$}
          (1,1) node (A2) {$langle 6 rangle$}
          (0,1) node (A3) {$langle 3 rangle$}
          (2,0) node (A4) {$langle 4 rangle$}
          (1,0) node (A5) {$langle 2 rangle$}
          (0,0) node (A6) {$langle 1 rangle$};
          end{scope}
          end{tikzpicture}
          caption{Subgroup Diagram of $mathbb{Z}_{12}$}
          end{figure}
          end{document}


          enter image description here



          Or for Joule V ;-)



          documentclass[12pt]{article}
          usepackage{tikz}
          usepackage{amsfonts}
          title{Subgroup Diagram of $Z_{12}$}


          begin{document}
          begin{figure}
          centering
          begin{tikzpicture}
          begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
          shape=false}]
          draw (0,0) grid (2,1);
          path (2,1) node[text width=2em] (A1) {${langle 12 rangle=mathbb{Z}_{12}}$}
          (1,1) node (A2) {$langle 6 rangle$}
          (0,1) node (A3) {$langle 3 rangle$}
          (2,0) node (A4) {$langle 4 rangle$}
          (1,0) node (A5) {$langle 2 rangle$}
          (0,0) node (A6) {$langle 1 rangle$};
          end{scope}
          end{tikzpicture}
          caption{Subgroup Diagram of $mathbb{Z}_{12}$}
          end{figure}
          end{document}


          enter image description here






          share|improve this answer















          I love positioning but may not necessarily use it when things should be on a grid.



          documentclass[12pt]{article}
          usepackage{tikz}
          usepackage{amsfonts}
          title{Subgroup Diagram of $Z_{12}$}


          begin{document}
          begin{figure}
          centering
          begin{tikzpicture}
          begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
          shape=false}]
          draw (0,0) grid (2,1);
          path (2,1) node (A1) {$langle 12 rangle = mathbb{Z}_{12}$}
          (1,1) node (A2) {$langle 6 rangle$}
          (0,1) node (A3) {$langle 3 rangle$}
          (2,0) node (A4) {$langle 4 rangle$}
          (1,0) node (A5) {$langle 2 rangle$}
          (0,0) node (A6) {$langle 1 rangle$};
          end{scope}
          end{tikzpicture}
          caption{Subgroup Diagram of $mathbb{Z}_{12}$}
          end{figure}
          end{document}


          enter image description here



          Or for Joule V ;-)



          documentclass[12pt]{article}
          usepackage{tikz}
          usepackage{amsfonts}
          title{Subgroup Diagram of $Z_{12}$}


          begin{document}
          begin{figure}
          centering
          begin{tikzpicture}
          begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
          shape=false}]
          draw (0,0) grid (2,1);
          path (2,1) node[text width=2em] (A1) {${langle 12 rangle=mathbb{Z}_{12}}$}
          (1,1) node (A2) {$langle 6 rangle$}
          (0,1) node (A3) {$langle 3 rangle$}
          (2,0) node (A4) {$langle 4 rangle$}
          (1,0) node (A5) {$langle 2 rangle$}
          (0,0) node (A6) {$langle 1 rangle$};
          end{scope}
          end{tikzpicture}
          caption{Subgroup Diagram of $mathbb{Z}_{12}$}
          end{figure}
          end{document}


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited yesterday

























          answered yesterday









          marmotmarmot

          117k5150283




          117k5150283













          • I think only langle 12 rangle should be in the grid, not langle 12 rangle = mathbb{Z}_{12}.

            – JouleV
            yesterday













          • @JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.

            – marmot
            yesterday



















          • I think only langle 12 rangle should be in the grid, not langle 12 rangle = mathbb{Z}_{12}.

            – JouleV
            yesterday













          • @JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.

            – marmot
            yesterday

















          I think only langle 12 rangle should be in the grid, not langle 12 rangle = mathbb{Z}_{12}.

          – JouleV
          yesterday







          I think only langle 12 rangle should be in the grid, not langle 12 rangle = mathbb{Z}_{12}.

          – JouleV
          yesterday















          @JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.

          – marmot
          yesterday





          @JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.

          – marmot
          yesterday










          Evan Kim is a new contributor. Be nice, and check out our Code of Conduct.










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          Evan Kim is a new contributor. Be nice, and check out our Code of Conduct.













          Evan Kim is a new contributor. Be nice, and check out our Code of Conduct.












          Evan Kim is a new contributor. Be nice, and check out our Code of Conduct.
















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