如何创建多个同名的单选按钮组？

<input type="radio" name="gender" value="male"> Male
<input type="radio" name="gender" value="female"> Female
<input type="radio" name="gender" value="other"> Other

<div id="radioGroup"></div>

<script>
  var radioGroup = document.getElementById("radioGroup");

  for (var i = 1; i <= 5; i++) {
    var radioButton = document.createElement("input");
    radioButton.type = "radio";
    radioButton.name = "group";
    radioButton.value = i;

    var label = document.createElement("label");
    label.innerHTML = "Option " + i;

    radioGroup.appendChild(radioButton);
    radioGroup.appendChild(label);
  }
</script>