JSFiddle - React, Tailwind, and code Playground

HTML

<!DOCTYPE html>
<html>
<head>
<style>

.DeptButton {
  display: inline-block;
  border-radius: 4px;
  background-color: #f7f7f7;
  border: none;
  text-decoration: none;
  text-align: center;
  font-size: 22px;
  padding: 10px 40px 0px 0px;
  width: 285px;
  transition: all 0.5s;
  cursor: pointer;
  margin: 15px;
}

.DeptButton span {
  cursor: pointer;
  display: inline-block;
  position: relative;
  transition: 0.5s;
}

.DeptButton span:after {
  content: '\00bb';
  position: absolute;
  opacity: 0;
  top: 25px;
  right: -55px;
  transition: 0.5s;
}

.DeptButton:hover span {
  padding-right: 40px;
}

.DeptButton:hover span:after {
  opacity: 1;
  right: -22px;
}

.DeptButton:hover {
	background-color: #f7f7f7;
	box-shadow: 0px 0px 20px 0 rgba(0,0,0,0.19);
}

.DeptButton a:link, a:visited, a:hover, a:active {
	text-decoration: none;
	display: inline-block;     
	font-weight: normal;

}


</style>
</head>




<!-- HTML Button Section -->



<button id="CLPButton" class="DeptButton">
		<span>
			<table style="width:120%">
  			<tr>
    			<th><img src="http://i.imgur.com/vjrbizL.png"></th>
    			<th>Clinical Lab <br> Platforms</th> 
  			</tr>
			</table>
		</span>
</button>