Radio button is not working properly

Because you've different value for name attribute, they should have a common name value, just like you group items.. for example

<input type="radio" name="group1" />
<input type="radio" name="group1" />
<input type="radio" name="group1" />

<!-- You can select any one from each group -->

<input type="radio" name="group2" />
<input type="radio" name="group2" />
<input type="radio" name="group2" />

Demo

<label for="abc" style="margin-top:-20px;margin-left:40px">xyz</label>
<input type="radio" id="abc" name="abc" >        
<label for="bcd" style="margin-top:-20px;margin-left:40px">abc</label>
<input type="radio" id="bcd" name="abc" >
<label for="efg" style="margin-top:-20px;margin-left:40px">ccc</label>
<input type="radio" id="efg" name="abc" >

All inputs must have the same name="" attribute value

Radio buttons which are grouped together must have the same case-sensitive name property.

<label for="input1">First Input</label>
<input type="radio" id="input1" name="inputGroup" >
<label for="input2">Second Input</label>
<input type="radio" id="input2" name="inputGroup" >
<label for="input3">Third Input</label>
<input type="radio" id="input3" name="inputGroup" >

JSFiddle demo.

From the HTML specification:

Radio buttons are like checkboxes except that when several share the same control name, they are mutually exclusive.