\newcounter{cl}
\def\class#1#2{%
  \parshape 2 0in 2.2in 0.2in 2.0in \strut%
  \refstepcounter{cl}\label{cl:#1}%
  \raggedright\arabic{cl}.~#2%
}
\newcounter{tf}
\newcommand{\tfmark}[1]{%
  \stepcounter{tf}%
  \customlabel{tf:#1}{\thetf}
  tf\thetf.
}
\newcommand\tfref[1]{$^\text{tf\ref{tf:#1}}$}

\begin{table*}
{\small\begin{tabular}{p{2.2in}p{1in}p{0.8in}p{0.8in}p{1.4in}}
Group(s) $G$ & Faithful $Z$? & Taylor $Z$? & Quadratic? & See \\
\hline
\class{torsion}{Finite / torsion groups} &
  No\tfref{torsion:F} & Yes\tfref{empty} & Yes\tfref{empty} &
  Sec.~\ref{ssec:Trivialities}\\
\class{Zn}{Free Abelian groups $\bbZ^n$} &
  Yes & Yes & Yes & Sec.~\ref{sssec:AbelianGroups} \\
\class{FG}{Free groups $\FG_n$} &
  Yes & Yes & Yes & Sec.~\ref{sssec:FreeGroups} \\
\class{LOF}{LOT and LOF groups} &
  No\tfref{LOF:F} & Yes & Yes & Sec.~\ref{ssec:LOF} \\
\class{knotgroups}{Knot and pure tangle groups} &
  No\tfref{LOF:F} & Yes & Yes & Sec.~\ref{ssec:knotgroups} \\
\class{linkgroups}{Link groups} &
  No\tfref{knotgroups:F} & Yes & Yes & Sec.~\ref{ssec:knotgroups} \\
\class{PB}{Pure braid groups $\PB_n$} &
  Yes & Yes & Yes & Sec.~\ref{ssec:PB} \\
\class{RF}{Reduced free groups $RF_n$} &
  Yes & Yes & No & Sec.~\ref{ssec:RF} \\
\class{RPB}{Reduced (homotopy) pure  braid groups $\RPB_n$} &
  Yes & Yes & No \\
\class{PvB}{Pure v-braid groups $\PvB_n$} &
  Unknown & No & Yes \\
\class{PwB}{Pure w-braid groups $\PwB_n$} &
  Yes & Yes & Yes & \\
\class{PfB}{Pure f-braid groups $\PfB_n$} &
  & & & Merkov \\
\class{Annular}{Annular braids} &&&& \\
\class{EllPB}{Elliptic pure braid groups $\PB^1_n$ (braids on the torus)} &
  Unknown & Yes & No \\
\class{gPB}{Higher genus pure braid groups $\PB^{>1}_n$ (braids on high
  genus surfaces)} &
  Unknown & Unknown & No &
  \arXiv{math/0309245}? \\
\class{CGG}{Commutators $[G,G]$ in general} &&&&\\
\class{CPuB}{Commutators $[\PuB_n,\PuB_n]$} &&&&\\
\class{CPvB}{Commutators $[\PvB_n,\PvB_n]$} &&&&\\
\class{CPwB}{Commutators $[\PwB_n,\PwB_n]$} &&&&\\
\class{Hilden}{Hilden braids} &&&&\\
\class{MexicanPlait}{Mexican plait braids} &&&& Kurpita-Murasugi \\
\class{Cactus}{Cactus groups} &&&&\\
\class{FundSigma}{Fundamental groups of surfaces} &
  & Yes & Yes \\
\class{MCG}{Mapping class groups} &&&&\\
\class{Torelli}{Torelli groups} &&&& Hain \\
\class{RAAG}{Right-angled Artin groups} & & Yes & Yes \\
\class{Artin}{General Artin groups} & & & \\
\class{BEER}{Groups from BEER} &&&& \arXiv{math/0509661} \\
\class{Brochier}{Groups from Brochier} &&&& \arXiv{1209.0417} \\
\class{PolyFree}{Poly-free groups} &&&& \arXiv{math/0603470} \\
\end{tabular}}

MORE: Make sure that all statements are referenced. Additional columns:
$H^2=0$?, extensibly Taylor?. Hierarchical structure for group list? Add
tangles / homology cylinders / w-tangles etc., modulo $C_n$, $Y_n$, etc.
Add tangles mod concordance, homology cylinders mod homology cobordism.

\caption{
  Some groups and their expansion properties.
  Disclaimer: ``Unknown'' is to the author.
} \label{tab:Summary}
{\footnotesize\rm {\bf Table footnotes.}
  \tfmark{torsion:F} Except $G=\{e\}$.
  \tfmark{empty} In an empty manner.
  \tfmark{LOF:F} Except $G=\FG_n$.
  \tfmark{knotgroups:F} Except $G=\bbZ^n$.
}
\end{table*}