why my table is too wide? [duplicate]

Question

I have the following table

$\label{Table}
 \begin{tabularx}{\textwidth}{@{} c>{\hsize=0.5\hsize}C
{\hsize=1.5\hsize}C
                              @{} }
 \toprule
     Name  & Symmetry group & Generators of the group \\
 \midrule
 P1     &   Cyclic group $ C_{5} $ & $(1,2,3,4,5)$ \\
   \midrule
P2 &  Primitive group (15,2) & $ (1,15,7,5,12)$  $(2,9,13,14,8)$  $(3,6,10,11,4), $  $ (1,4,5)$  $(2,8,10$  $)(3,12,15)$  $(6,13,11)$  $(7,9,14)$ \\
 \midrule
P3 &   Primitive group (21,2) & $(1,7,12,16,19,21,6)$, $(2,8,13,17,20,5,11)$, $(3,9,14,18,4,10,15)$,
 $(4,6,5)$, $(9,11,10)$, $(13,15,14)$, $(16,18,17)$, $(19,20,21)$  \\
 \midrule

P4 & Primitive group (45,2) & $ ( 1, 2, 7)$  $( 3,11,27)$  $( 4,14,31)$  $( 5,18,32)$ $( 6,20,36)$  $( 8,24,39)$  $( 9,25,28)$  $(10,26,42)$  $(12,15,16)$  $(13,30,40)$  $(17,19,21)$ $(22,35,44)$  $(23,33,29)$  $(34,43,37)$  $(38,45,41)$,$ ( 1, 3, 5, 6, 7,22,13,23)$  $( 2, 8, 9,10)$ $( 4,15,16,17,14,21,19,12
    )$  $(11,28,29,38,44,25,20,37)$  $(18,33,34,24,40,36,41,39)$ $(26,43,35,32,42,45,27,
    30)$, $( 1, 4)$  $( 3,12)$  $( 5,19)$  $( 6,21)$  $( 7,14)$  $( 8,10)$  $(11,20)$  $(13,16)$  $(15,23)$ $
   (17,22)$  $(18,33)$  $(24,41)$  $(25,28)$  $(26,43)$  $(27,32)$  $(29,44)$  $(30,35)$  $(34,39)$  $(36,40)$  $(42,45) $  \\
 \bottomrule
 \end{tabularx}
\end{table}$

it is like this in my pdf:

what is wrong?

Answer 1

The surrounding $ symbols are surely a mistake.

Here's a possibly simpler way to typeset the table, without guessing at the column widths.

\documentclass{article}
\usepackage{amsmath}
\usepackage{tabularx,booktabs}

\begin{document}

\begin{table}[htp]

% shorthand for easing input in this particular table
\newcommand{\desc}[1]{\begin{tabular}[t]{@{}l@{}}#1\end{tabular}}

\caption{ILP-feasibility problems}\label{Table-ILP}

\begin{tabularx}{\textwidth}{@{} l l >{\raggedright\arraybackslash}X @{}}
\toprule
Name & \desc{Symmetry \\ group} & Generators of the group \\
\midrule
P1 & \desc{Cyclic \\ group \\ $C_{5}$} &
  $(1,2,3,4,5)$ \\
\midrule
P2 & \desc{Primitive \\ group \\ $(15,2)$} & 
  $(1,15,7,5,12)$  $(2,9,13,14,8)$  $(3,6,10,11,4)$,
  $(1,4,5)$  $(2,8,10)$ $(3,12,15)$  $(6,13,11)$  $(7,9,14)$ \\
\midrule
P3 & \desc{Primitive \\ group \\ $(21,2)$} &
  $(1,7,12,16,19,21,6)$, $(2,8,13,17,20,5,11)$, $(3,9,14,18,4,10,15)$,
  $(4,6,5)$, $(9,11,10)$, $(13,15,14)$, $(16,18,17)$, $(19,20,21)$  \\
\midrule
P4 & \desc{Primitive \\ group \\ $(45,2)$} &
  $(1,2,7)$  $(3,11,27)$  $(4,14,31)$  $(5,18,32)$ $( 6,20,36)$  $(8,24,39)$
  $(9,25,28)$  $(10,26,42)$  $(12,15,16)$  $(13,30,40)$  $(17,19,21)$ $(22,35,44)$
  $(23,33,29)$  $(34,43,37)$  $(38,45,41)$,
  $(1,3,5,6,7,22,13,23)$  $(2,8,9,10)$  $(4,15,16,17,14,21,19,12)$
  $(11,28,29,38,44,25,20,37)$  $(18,33,34,24,40,36,41,39)$ $(26,43,35,32,42,45,27,30)$,
  $(1,4)$  $(3,12)$  $(5,19)$  $(6,21)$  $(7,14)$  $(8,10)$  $(11,20)$  $(13,16)$  $(15,23)$
  $(17,22)$  $(18,33)$  $(24,41)$  $(25,28)$  $(26,43)$  $(27,32)$  $(29,44)$  $(30,35)$
  $(34,39)$  $(36,40)$  $(42,45)$  \\
\bottomrule
\end{tabularx}

\end{table}

\end{document}

There is no apparent consistency in placing commas between generators, so fix it.

Answer 2

Just for the sake of variety, here's another tabularx-based solution which (a) sets the width of the 2nd column so that the header ("Symmetry Group") just fits and (b) does away with the interior \midrule directives in favor of \addlinespace. Oh, and I assumed that you want the list of generators to be a comma-separated list.

\documentclass{article}
\usepackage{tabularx,booktabs}
\newcolumntype{L}{>{\raggedright\arraybackslash}X}
\newlength\mylen
\settowidth\mylen{Symmetry Group} % determine width of 2nd column

\begin{document}
\begin{table}[htbp]
\setlength\tabcolsep{4pt} % default value: 6pt
\caption{A caption}
\label{Table}
\begin{tabularx}{\textwidth}{@{} l >{\raggedright}p{\mylen} L @{}}
\toprule
Name & Symmetry group & Generators of the group \\
\midrule
P1 & Cyclic group $ C_{5} $ 
& $(1,2,3,4,5)$ \\
\addlinespace
P2 & Primitive group (15,2) 
& $(1,15,7,5,12)$, $(2,9,13,14,8)$, $(3,6,10,11,4)$, $(1,4,5)$, 
  $(2,8,10)$, $(3,12,15)$, $(6,13,11)$, $(7,9,14)$ \\
\addlinespace
P3 & Primitive group (21,2) 
& $(1,7,12,16,19,21,6)$, $(2,8,13,17,20,5,11)$, $(3,9,14,18,4,10,15)$, 
  $(4,6,5)$, $(9,11,10)$, $(13,15,14)$, $(16,18,17)$, $(19,20,21)$  \\
\addlinespace
P4 & Primitive group (45,2) 
& $(1, 2, 7)$, $(3,11,27)$, $(4,14,31)$, $(5,18,32)$, $(6,20,36)$, 
  $(8,24,39)$, $(9,25,28)$, $(10,26,42)$, $(12,15,16)$, $(13,30,40)$, 
  $(17,19,21)$, $(22,35,44)$, $(23,33,29)$, $(34,43,37)$, $(38,45,41)$, 
  $(1, 3, 5, 6, 7,22,13,23)$, $(2, 8, 9,10)$, $(4,15,16,17,14,21,19,12)$,  
  $(11,28,29,38,44,25,20,37)$, $(18,33,34,24,40,36,41,39)$, 
  $(26,43,35,32,42,45,27, 30)$, $(1, 4)$, $(3,12)$, $(5,19)$, $(6,21)$, 
  $(7,14)$, $(8,10)$, $(11,20)$, $(13,16)$, $(15,23)$ $(17,22)$, $(18,33)$, 
  $(24,41)$, $(25,28)$, $(26,43)$, $(27,32)$, $(29,44)$, $(30,35)$, 
  $(34,39)$, $(36,40)$, $(42,45)$  \\
\bottomrule
\end{tabularx}
\end{table}
\end{document}