Random order and custom navi.

Setup

A little play with beforeInit function. Refresh browser to see effect. Also check css to get idea how move navi buttons.

$(document).ready(function() {

  //Sort random function
  function random(owlSelector){
    owlSelector.children().sort(function(){
        return Math.round(Math.random()) - 0.5;
    }).each(function(){
      $(this).appendTo(owlSelector);
    });
  }

  $("#owl-demo").owlCarousel({
    navigation: true,
    navigationText: [
      "<i class='icon-chevron-left icon-white'></i>",
      "<i class='icon-chevron-right icon-white'></i>"
      ],
    beforeInit : function(elem){
      //Parameter elem pointing to $("#owl-demo")
      random(elem);
    }

  });

});
<div id="owl-demo" class="owl-carousel owl-theme">
  <div class="item orange"><h1>1</h1></div>
  <div class="item darkCyan"><h1>2</h1></div>
  <div class="item yellow"><h1>3</h1></div>
  <div class="item forestGreen"><h1>4</h1></div>
  <div class="item dodgerBlue"><h1>5</h1></div>
  <div class="item skyBlue"><h1>6</h1></div>
  <div class="item zombieGreen"><h1>7</h1></div>
  <div class="item violet"><h1>8</h1></div>
  <div class="item steelGray"><h1>9</h1></div>
  <div class="item dodgerBlue"><h1>10</h1></div>
  <div class="item darkCyan"><h1>11</h1></div>
  <div class="item zombieGreen"><h1>12</h1></div>
  <div class="item orange"><h1>13</h1></div>
  <div class="item forestGreen"><h1>14</h1></div>
  <div class="item skyBlue"><h1>15</h1></div>
  <div class="item darkCyan"><h1>16</h1></div>
</div>
#owl-demo .item{
  display: block;
  padding: 30px 0px;
  margin: 5px;
  color: #FFF;
  -webkit-border-radius: 3px;
  -moz-border-radius: 3px;
  border-radius: 3px;
  text-align: center;
}
.owl-theme .owl-controls .owl-buttons div {
  padding: 5px 9px;
}

.owl-theme .owl-buttons i{
  margin-top: 2px;
}

//To move navigation buttons outside use these settings:

.owl-theme .owl-controls .owl-buttons div {
  position: absolute;
}

.owl-theme .owl-controls .owl-buttons .owl-prev{
  left: -45px;
  top: 55px; 
}

.owl-theme .owl-controls .owl-buttons .owl-next{
  right: -45px;
  top: 55px;
}


More Demos