How to check if at least one checkbox is checked in a group of checkboxes with different name values

I have a problem that I have been looking for an answer for a while and cannot make it work.

I am looking for a way to check if at least one checkbox is checked in the checkbox group. It is so complicated for me that each of these inputs has different name meanings. I found answers only for jQuery validation plugin etc. Here is my html:

<tr class="formField-checkbox formFieldRequired">
  <td class="formLabelHolder"><label for="field129">Group of checkboxes</label></td>
  <td class="formFieldHolder">
    <input type="checkbox" name="field129[0]" class="formCheckbox required" value="Something1"> 
    <label><span class="formCheckboxLabel">Something1</span></label>
    <input type="checkbox" name="field129[1]" class="formCheckbox required" value="Something2"> 
    <label><span class="formCheckboxLabel">Something2</span></label>
    <input type="checkbox" name="field129[2]" class="formCheckbox required" value="Something3"> 
    <label><span class="formCheckboxLabel">Something3</span></label>
  </td>
</tr>

Here is my jQuery that I have now:

// Validate all checkboxes
var named = [];
var $requiredCheck = $(this).find('input[type="checkbox"].required');

$($requiredCheck,$formId).each(function() {
  // Creates an array with the names of all the different checkbox group.
  named[$(this).attr('name')] = true;
});

// Goes through all the names and make sure there at least one checked.
for (name in named) {
  var $checkboxes = $("input[name='" + name + "']");
  if ($checkboxes.filter(':checked').length == 0) {
    $checkboxes.closest('.formFieldHolder').addClass('error').append('<span   class="error">Required!</span>');
  } 
}

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EDIT:

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