\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{cd,fit}
\tikzset{tail reversed/.code={\pgfsetarrowsstart{tikzcd to}}}
\begin{document}
\begin{tikzpicture}
  [ commutative diagrams/every diagram
  , ampersand replacement=\&
  ]
  \matrix[matrix of math nodes, name=A, commutative diagrams/every cell]{
	  {\{4,3\}_3}    \&\& {\{3,3\}}
    \\ \\
    {\{4,3\}}      \&\& {\{6,3\}_4}
    \\ \\
    {\{3,4\}}      \&\& {\{6,4\}_3}
    \\ \\
    {\{3,5\}}      \&\& {\{10,5\}_3}
    \\ \\
    {\{6,5\}_{5/2}} \&\& {\{5/2,5\}}
    \\ \\
    {\{6,5/2\}_5}  \&\& {\{5,5/2\}}
    \\ \\
    {\{3,5/2\}}    \&\& {\{10/3,5/2\}_3}
    \\ \\
    {\{5/2,3\}}    \&\& {\{10/3,3\}_{5/2}}
    \\ \\
    {\{10,3\}_5}   \&\& {\{5,3\}}
    \\
  };
  \node[draw, fit=(A-1-1) (A-1-3), rounded corners=10, label=left:$A_3$] {};
  \node[draw, fit=(A-3-1) (A-5-3), rounded corners=10, label=left:$B_3$] {};
  \node[draw, fit=(A-7-1) (A-17-3), rounded corners=10, label=left:$H_3$] {};
  \path
    [ commutative diagrams/.cd
    , every arrow
    , every label
    , tail reversed
    , color={rgb,255:red,153;green,92;blue,214}
    , description
    ]
    (A-1-1) edge node[fill=white] {$\pi$} (A-1-3)
    (A-3-1) edge node[fill=white] {$\pi$} (A-3-3)
    (A-7-1) edge node[fill=white] {$\pi$} (A-7-3)
    (A-9-1) edge node[fill=white] {$\pi$} (A-9-3)
    (A-11-1) edge node[fill=white] {$\pi$} (A-11-3)
    (A-13-1) edge node[fill=white] {$\pi$} (A-13-3)
    (A-15-1) edge node[fill=white] {$\pi$} (A-15-3)
    (A-17-1) edge node[fill=white] {$\pi$} (A-17-3)
    ;
  \path
    [ commutative diagrams/.cd
    , every arrow
    , every label
    , tail reversed
    , color={rgb,255:red,153;green,92;blue,214}
    , shift left=2
    , description
    ]
    (A-5-1) edge node[fill=white] {$\pi$} (A-5-3)
    ;
  \path
    [ commutative diagrams/.cd
    , every arrow
    , every label
    , tail reversed
    , color={rgb,255:red,214;green,92;blue,92}
    , shift right=2
    , description
    ]
    (A-5-1) edge node[fill=white] {$\kappa$} (A-5-3)
    ;
  \path
    [ commutative diagrams/.cd
    , every arrow
    , every label
    , tail reversed
    , color={rgb,255:red,214;green,92;blue,92}
    , description
    ]
    (A-1-1) edge node[fill=white] {$\kappa$} (A-3-1)
    (A-1-3) edge node[fill=white] {$\kappa$} (A-3-3)
    (A-7-1) edge node[fill=white] {$\kappa$} (A-9-1)
    (A-7-3) edge node[fill=white] {$\kappa$} (A-9-3)
    (A-11-1) edge node[fill=white] {$\kappa$} (A-13-1)
    (A-11-3) edge node[fill=white] {$\kappa$} (A-13-3)
    (A-15-1) edge node[fill=white] {$\kappa$} (A-17-1)
    (A-15-3) edge node[fill=white] {$\kappa$} (A-17-3)
    ;
  \path
    [ commutative diagrams/.cd
    , every arrow
    , every label
    , tail reversed
    , color={rgb,255:red,92;green,92;blue,214}
    , description
    ]
    (A-3-1) edge node[fill=white] {$\delta$} (A-5-1)
    (A-9-3) edge node[fill=white] {$\delta$} (A-11-3)
    (A-13-1) edge node[fill=white] {$\delta$} (A-15-1)
    (A-7-1) edge node[fill=white] {$\delta$} (A-17-3)
    ;
\end{tikzpicture}
\end{document}