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I need \sqsubset and \sqsupset in larger size. That means $ \sqsubset G_n \sqsupset $ for the purpose of completely lies in side the text within the interval of that open and closed space.

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  • Welcome to TeX.SX! Please help us help you and add a minimal working example (MWE) that illustrates your problem. Reproducing the problem and finding out what the issue is will be much easier when we see compilable code, starting with \documentclass{...} and ending with \end{document}. – user31729 Jul 28 '15 at 5:59
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Something like

enter image description here

The symbols are obtained through these definitions (need graphicx package):

\newcommand{\bigsqsubset}{\mathrel{\text{\scalebox{1.5}{$\sqsubset$}}}}
\newcommand{\bigsqsupset}{\mathrel{\text{\scalebox{1.5}{$\sqsupset$}}}}

MWE:

\documentclass{article}

\usepackage{amsmath,amssymb}
\usepackage{graphicx}

\newcommand{\bigsqsubset}{\mathrel{\text{\scalebox{1.5}{$\sqsubset$}}}}
\newcommand{\bigsqsupset}{\mathrel{\text{\scalebox{1.5}{$\sqsupset$}}}}

\begin{document}

$ \bigsqsubset  G_n \bigsqsupset $

\end{document} 
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I'm not sure what's the meaning of this, but you can try with relsize:

\documentclass{article}
\usepackage{amssymb,relsize}

\newcommand{\fancybrackets}[1]{%
  \mathopen{\mathlarger{\mathlarger{\sqsubset}}}%
  #1%
  \mathclose{\mathlarger{\mathlarger{\sqsupset}}}%
}

\begin{document}

$\fancybrackets{G_{n}}$

\end{document}

enter image description here

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