Asking tikz code for this diagram

Can someone provide me the tikz code for the following diagram?

Any help would be appreciated.

Thanks so much

• Take a look at tikz-cd package. – CarLaTeX Oct 12 at 20:00
• Welcome to TeX SX! You should take a look at the tikz-cd package. – Bernard Oct 12 at 20:00

\documentclass{article}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{tikz-cd}
\begin{document}
$\begin{tikzcd}[column sep=0em] & \text{Intermediate fields}\\[-4ex] & \mathbb{Q}(\sqrt{3},\sqrt{5})\ar[d, dash]\ar[dr, dash]\ar[dl, dash]\\ \mathbb{Q}(\sqrt{3}) & \mathbb{Q}(\sqrt{5}) & \mathbb{Q}(\sqrt{15})\\ & \mathbb{Q}\ar[u, dash]\ar[ur, dash]\ar[ul, dash]\\ \end{tikzcd}\quad \begin{tikzcd}[column sep=1.5em] & \text{Subgroups}\\[-4ex] & \{\iota\}\ar[d, dash]\ar[dr, dash]\ar[dl, dash]\\ \{\iota,\alpha\} & \{\iota,\tau\} & \{\iota,\beta\}\\ & \{\iota,\alpha,\tau,\beta\}\ar[u, dash]\ar[ur, dash]\ar[ul, dash]\\ \end{tikzcd}$
\end{document}


Following the advice given by the very good users in the comments here there is my short proposal.

\documentclass[a4paper,12pt]{article}
\usepackage{tikz-cd}
\usepackage[bb = boondox]{mathalfa}
\usepackage[margin=1cm]{geometry}
\usepackage{mathtools}
\begin{document}
\begin{tikzcd}