Put search icon near textbox using bootstrap

I am using bootstrap by default textbox taking full width of column and I want to put search icon at the end to textbox.

My code is like this:

<div class="container">
    <div class="row">
        <div class="form-group col-lg-4">
            <label class="control-label">Name</label>
            <input id="txtName" class="form-control input-sm" />
            <span class="glyphicon glyphicon-search"></span> 
        </div>
        <div class="col-lg-4"></div>
        <div class="col-lg-4"></div>
    </div>
</div>

I don't want to use input group.

Please suggest an alternate way or alternate html with css.

Here are three different ways to do it:

Here's a working Demo in Fiddle Of All Three

Validation:

You can use native bootstrap validation states (No Custom CSS!):

<div class="form-group has-feedback">
    <label class="control-label" for="inputSuccess2">Name</label>
    <input type="text" class="form-control" id="inputSuccess2"/>
    <span class="glyphicon glyphicon-search form-control-feedback"></span>
</div>

For a full discussion, see my answer to Add a Bootstrap Glyphicon to Input Box

Input Group:

You can use the .input-group class like this:

<div class="input-group">
    <input type="text" class="form-control"/>
    <span class="input-group-addon">
        <i class="fa fa-search"></i>
    </span>
</div>

For a full discussion, see my answer to adding Twitter Bootstrap icon to Input box

Unstyled Input Group:

You can still use .input-group for positioning but just override the default styling to make the two elements appear separate.

Use a normal input group but add the class input-group-unstyled:

<div class="input-group input-group-unstyled">
    <input type="text" class="form-control" />
    <span class="input-group-addon">
        <i class="fa fa-search"></i>
    </span>
</div>

Then change the styling with the following css:

.input-group.input-group-unstyled input.form-control {
    -webkit-border-radius: 4px;
       -moz-border-radius: 4px;
            border-radius: 4px;
}
.input-group-unstyled .input-group-addon {
    border-radius: 4px;
    border: 0px;
    background-color: transparent;
}

Also, these solutions work for any input size

Adding a class with a width of 90% to your input element and adding the following input-icon class to your span would achieve what you want I think.

.input { width: 90%; }
.input-icon {
    display: inline-block;
    height: 22px;
    width: 22px;
    line-height: 22px;
    text-align: center;
    color: #000;
    font-size: 12px;
    font-weight: bold;
    margin-left: 4px;
}

EDIT Per dan's suggestion, it would not be wise to use .input as the class name, some more specific would be advised. I was simply using .input as a generic placeholder for your css