\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} \& {\{4,3\}} \& {\{3,4\}} \& {\{3,5\}} \& {\{6,5\}_{5/2}} \& {\{6,5/2\}_5} \& {\{3,5/2\}} \& {\{5/2,3\}} \& {\{10,3\}_5} \\
	  \\
	  {\{3,3\}} \& {\{6,3\}_4} \& {\{6,4\}_3} \& {\{10,5\}_3} \& {\{5/2,5\}} \& {\{5,5/2\}} \& {\{10/3,5/2\}_3} \& {\{10/3,3\}_{5/2}} \& {\{5,3\}} \\
  };
  \node[draw, fit=(A-1-1) (A-3-1), rounded corners=10, label=$A_3$] {};
  \node[draw, fit=(A-1-2) (A-3-3), rounded corners=10, label=$B_3$] {};
  \node[draw, fit=(A-1-4) (A-3-9), rounded corners=10, label=$H_3$] {};
  \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-3-1)
    (A-1-2) edge node[fill=white] {$\pi$} (A-3-2)
    (A-1-4) edge node[fill=white] {$\pi$} (A-3-4)
    (A-1-5) edge node[fill=white] {$\pi$} (A-3-5)
    (A-1-6) edge node[fill=white] {$\pi$} (A-3-6)
    (A-1-7) edge node[fill=white] {$\pi$} (A-3-7)
    (A-1-8) edge node[fill=white] {$\pi$} (A-3-8)
    (A-1-9) edge node[fill=white] {$\pi$} (A-3-9)
    ;
  \path
    [ commutative diagrams/.cd
    , every arrow
    , every label
    , tail reversed
    , color={rgb,255:red,153;green,92;blue,214}
    , shift left=2
    , description
    ]
    (A-1-3) edge node[fill=white] {$\pi$} (A-3-3)
    ;
  \path
    [ commutative diagrams/.cd
    , every arrow
    , every label
    , tail reversed
    , color={rgb,255:red,214;green,92;blue,92}
    , shift right=2
    , description
    ]
    (A-1-3) edge node[fill=white] {$\kappa$} (A-3-3)
    ;
  \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-1-2)
    (A-3-1) edge node[fill=white] {$\kappa$} (A-3-2)
    (A-1-4) edge node[fill=white] {$\kappa$} (A-1-5)
    (A-3-4) edge node[fill=white] {$\kappa$} (A-3-5)
    (A-1-6) edge node[fill=white] {$\kappa$} (A-1-7)
    (A-3-6) edge node[fill=white] {$\kappa$} (A-3-7)
    (A-1-8) edge node[fill=white] {$\kappa$} (A-1-9)
    (A-3-8) edge node[fill=white] {$\kappa$} (A-3-9)
    ;
  \path
    [ commutative diagrams/.cd
    , every arrow
    , every label
    , tail reversed
    , color={rgb,255:red,92;green,92;blue,214}
    , description
    ]
    (A-1-2) edge node[fill=white] {$\delta$} (A-1-3)
    (A-3-5) edge node[fill=white] {$\delta$} (A-3-6)
    (A-1-7) edge node[fill=white] {$\delta$} (A-1-8)
    (A-1-4) edge node[fill=white] {$\delta$} (A-3-9)
    ;
\end{tikzpicture}
\end{document}