Bootstrap align Center input fields

<html>
<head>
<title>Bootstrap Grid</title>
<!-- Latest compiled and minified CSS -->
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/css/bootstrap.min.css">

<!-- Optional theme -->
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/css/bootstrap-theme.min.css">
<script src="https://ajax.googleapis.com/ajax/libs/jquery/1.11.1/jquery.min.js"></script>
<!-- Latest compiled and minified JavaScript -->
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/js/bootstrap.min.js"></script>
</head>
<body>

<div class="container" style="padding:150px;">

<div class="row">
    <div class="col-lg-4 col-lg-offset-4">
        <div class="input-group">
            <input type="text" class="form-control" placeholder="Search....." /> 
        </div>
    </div>
</div>


</div>
</body>
</html>