JSFiddle - React, Tailwind, and code Playground

HTML

<script src="https://cdn.rawgit.com/mkoryak/floatThead/master/dist/jquery.floatThead.min.js"></script>
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.4/css/bootstrap.min.css">
<script src="https://rawgit.com/twbs/bootstrap/master/js/tab.js"></script>
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.6/js/bootstrap.min.js"></script>
<div role="tabpanel">

  <!-- Nav tabs -->
  <ul class="nav nav-tabs" role="tablist">
    <li role="presentation" class="active"><a href="#home" aria-controls="home" role="tab" data-toggle="tab">Home</a></li>
    <li role="presentation"><a href="#profile" aria-controls="profile" role="tab" data-toggle="tab">Profile</a></li>
  </ul>

  <!-- Tab panes -->
  <div class="tab-content">
    <div role="tabpanel" class="tab-pane active" id="home">
        <table class='table table-striped sticky-header' id='table1'>
            <thead>
                <th>first tab header one</th>
                <th><div class="btn-group">
          <button type="button" class="btn btn-default dropdown-toggle" data-toggle="dropdown" aria-haspopup="true" aria-expanded="false" data-toggle="tooltip" data-placement="left" title="Sentence Type">
            <span class="all-type selected">
              tada
            </span>
            <span class="caret"></span>
          </button>
          <ul class="dropdown-menu all-type-dropdown">
            <li><a href="#" data-value="outline">Outline Section</a></li>
            <li><a href="#" data-value="subsection">Subsection</a></li>
            <li><a href="#" data-value="sentence">Sentence</a></li>
            <li><a href="#" data-value="table">Table</a></li>
          </ul>
        </div></th>
            </thead>
            <tr>
                <td>first tab text</td>
                <td>first tab text</td>
            </tr>
            <tr>
                <td>first tab text</td>
                <td>first tab text</td>
            </tr>
            <tr>
               ...

CSS

th {
    background-color: #4f81bd;
    color:#fff;
}

JavaScript

$(document).ready(function() {
    $('.sticky-header').floatThead({zIndex: 1001});
});

$('a[data-toggle="tab"]').on('shown.bs.tab', function(){
    $('.sticky-header:visible').floatThead('reflow');
});