<table style="border: 1px solid black">
<thead >
  <th>ID</th>
  <th>Имя</th>
  <th>Фамилия</th>
  
</thead>
<tbody >
  <tr class="not">
    <td>1</td>
    <td>Антоша</td>
    <td>Антоша</td>
      <tr class="not-child">
        <td colspan=2 style="text-align: center">Ne</td>
      </tr>
  </tr>
    <tr class="premium">
    <td>2</td>
    <td>Серега</td>
    <td>Кочегарин</td>
     <tr class="premium-child">
      <td colspan=2 style="text-align: center">premium</td>
    </tr>
  </tr>
    <tr class="not">
    <td>3</td>
    <td>Саня</td>
    <td>Жопин</td>
     <tr class="not-child">
      <td colspan=2 style="text-align: center">Ne</td>
    </tr>
  </tr>
    <tr class="premium">
    <td>4</td>
    <td>Ваня</td>
    <td>Жлобин</td>
     <tr class="premium-child">
      <td colspan=2 style="text-align: center">premium</td>
    </tr>
  </tr>
</tbody>
</table>

$('tbody').each(function() {
if ($('tr').hasClass('premium'))
{
    $('.not, .not-child').insertAfter('.premium + .premium-child');
}
});

$('tr.premium').insertAfter('tbody')

const body = document.querySelector('tbody');
body.querySelectorAll('tr.premium').forEach( tr => tbody.appendChild(tr) );
body.querySelectorAll('tr.not').forEach( tr => tbody.appendChild(tr) );

var $tbody = $('#js-lower-not tbody');

$tbody.find('tr').not('.premium, tr.premium-child').each(function() {
  $tbody.append( $(this) );
});