Can I $.wrap() around a collection of elements in an array?

Question

Let's say I have a collection of 'items' like so:

<p class="item">Item 1</p>
<p class="item">Item 2</p>
<p class="item group">Item 3</p>
<p class="item group">Item 4</p>
<p class="item">Item 5</p>

I want to loop through the items and wrap a containing div around any that have the 'group' class to result in something like this (grouped items will always be right next to one another):

This is the script I've got:

var group = [];

$('.item').each(function(i, item) {
  if ($(item).hasClass('group')) {
    group.push(item);
  }
});

$(group).wrap('<div class="wrapper" />');

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>

<p class="item">Item 1</p>
<p class="item">Item 2</p>
<div class="wrapper">
  <p class="item group">Item 3</p>
  <p class="item group">Item 4</p>
</div>
<p class="item">Item 5</p>

What happens is that the wrapping div is wrapped around each element separately in the array (which makes sense) but I need it to wrap all elements together. Is there any way I can do this? Here's a jsFiddle.

There is a more complex variation of this problem that is possible, this would be a situation where there are several 'sets' of these groups, each to be wrapped in their own 'group' div. Initial state:

<p class="item">Item 1</p>
<p class="item">Item 2</p>
<p class="item group">Item 3</p>
<p class="item group">Item 4</p>
<p class="item">Item 5</p>
<p class="item group">Item 6</p>
<p class="item group">Item 7</p>
<p class="item group">Item 8</p>
<p class="item">Item 9</p>

Desired state:

<p class="item">Item 1</p>
<p class="item">Item 2</p>
<div class="wrapper">
  <p class="item group">Item 3</p>
  <p class="item group">Item 4</p>
</div>
<p class="item">Item 5</p>
<div class="wrapper">
  <p class="item group">Item 6</p>
  <p class="item group">Item 7</p>
  <p class="item group">Item 8</p>
</div>
<p class="item">Item 9</p>

Answer 1

Try wrapAll method instead:

$(".group").wrapAll("<div class='wrap' />");

DEMO: http://jsfiddle.net/LanMt/3/

---

For wrapping the separate groups of .group elements you can use the following:

$(".group").map(function() {
    if (!$(this).prev().hasClass("group")) {
        return $(this).nextUntil(":not(.group)").andSelf();
    }
}).wrap("<div class='wrap' />");

DEMO: http://jsfiddle.net/LanMt/5/

The code above was assembled with the help of @Jon's answer.