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 2 days ago









      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

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          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
            2 days ago











          • @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
            2 days ago



















          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
            2 days ago













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

            – marmot
            2 days ago












          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
            2 days ago











          • @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
            2 days ago
















          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
            2 days ago











          • @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
            2 days ago














          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 2 days ago









          JouleVJouleV

          13.2k22663




          13.2k22663













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

            – Evan Kim
            2 days ago











          • @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
            2 days ago



















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

            – Evan Kim
            2 days ago











          • @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
            2 days ago

















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

          – Evan Kim
          2 days ago





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

          – Evan Kim
          2 days ago













          @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
          2 days ago





          @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
          2 days ago











          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
            2 days ago













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

            – marmot
            2 days ago
















          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
            2 days ago













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

            – marmot
            2 days ago














          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 2 days ago

























          answered 2 days ago









          marmotmarmot

          117k6150283




          117k6150283













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

            – JouleV
            2 days ago













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

            – marmot
            2 days ago



















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

            – JouleV
            2 days ago













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

            – marmot
            2 days ago

















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

          – JouleV
          2 days ago







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

          – JouleV
          2 days ago















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

          – marmot
          2 days ago





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

          – marmot
          2 days ago










          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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