Overlapping Image in Navigation Bar - html

Question

Is it possible to overlap images in the navigation bar, without getting the background color and some stuffs? The image or the logo itself shouldn't have any background-color (that is inherited) and should have overlapped the navigation bar. I'm looking for an output like this.
This is the CodePen link, try it out
HTML Codes:
<nav>
<ul>
<li>
<span class="logo">
<img src="https://static.wixstatic.com/media/c86d4e_46042d8a0d99473f82209f03ab4dd146~mv2.gif" alt="Star of Hope" title="Star of Hope" id="logo">
</span>
</li>
<li>Home</li>
<li>Our School</li>
<li>Academics</li>
<li>Lesson and Quizzes</li>
<li>Event & News</li>
<li>Grades</li>
</ul>
</nav>
CSS Codes:
* {
margin: 0px;
}
nav {
width: 100%;
height: 100%;
text-align: center;
font-weight: lighter;
font-size: 0.95em;
font-family: Century Gothic;
text-transform: uppercase;
list-style-type: none;
overflow: hidden;
background-color: #343F64;
}
ul {
margin: 0;
padding: 0;
width: 100%;
}
li {
display: inline;
float: left;
}
li a {
display: block;
padding: 14px 16px;
background-color: #343F64;
color: white;
text-decoration: none;
padding-top: 25px;
padding-bottom: 25px;
}
.active {
color: #E9DB89;
}
li img {
float: left;
}
img {
margin-left: 75px;
}
#logo {
float:left;
z-index: 1000;
}

Answer 1

I have made an edit to your code to get the results
* {
margin: 0px;
}
nav {
width: 100%;
height: 70px;
text-align: center;
font-weight: lighter;
font-size: 0.95em;
font-family: Century Gothic;
text-transform: uppercase;
list-style-type: none;
overflow: hidden;
background-color: #343F64;
position: relative;/*change here*/
}
ul {
margin: 0;
padding: 0;
width: 100%;
position: absolute;/*change here*/
right: -25%;/*change here*/
}
li {
display: inline;
float: left;
}
li a {
display: block;
padding: 14px 16px;
background-color: #343F64;
color: white;
text-decoration: none;
padding-top: 25px;
padding-bottom: 25px;
}
.active {
color: #E9DB89;
}
li img {
float: left;
}
img {
margin-left: 75px;
}
.line {
width: 100%;
height: 50px;
border-bottom: 1px solid #111;
}
#logo {
float:left;
z-index: 1000;
position: absolute;/*change here*/
}
<!--move logo outside nav-->
<span class="logo">
<img src="https://static.wixstatic.com/media/c86d4e_46042d8a0d99473f82209f03ab4dd146~mv2.gif" alt="Star of Hope" title="Star of Hope" id="logo">
</span>
<nav>
<ul>
<li>Home</li>
<li>Our School</li>
<li>Academics</li>
<li>Lesson and Quizzes</li>
<li>Event & News</li>
<li>Grades</li>
</ul>
</nav>
<div class="line"></div>

Answer 2

Here's another variation, not using absolute positioning:
HTML:
<div id="header_container">
<div id="header">
<div class="logo">
<img src="https://static.wixstatic.com/media/c86d4e_46042d8a0d99473f82209f03ab4dd146~mv2.gif" alt="Star of Hope" title="Star of Hope" id="logo">
</div>
<div class="nav">
<ul>
<li>Home</li>
<li>Our School</li>
<li>Academics</li>
<li>Lesson and Quizzes</li>
<li>Event & News</li>
<li>Grades</li>
</ul>
</div>
</div>
</div>
CSS:
* {
margin: 0px;
}
#header_container {
width: 100%;
height: 100px;
background-color: #343F64;
}
#header {
margin: 0 auto;
width: 1200px;
}
.nav {
float: left;
margin-top: -100px;
margin-left: 350px;
height: 100px;
text-align: center;
font-weight: lighter;
font-size: 0.95em;
font-family: Century Gothic;
text-transform: uppercase;
list-style-type: none;
overflow: hidden;
}
ul {
margin: 0;
padding: 0;
width: 100%;
}
li {
display: inline;
float: left;
}
li a {
display: block;
padding: 14px 16px;
background-color: #343F64;
color: white;
text-decoration: none;
padding-top: 25px;
padding-bottom: 25px;
}
.active {
color: #E9DB89;
}
li img {
float: left;
}
img {
margin-left: 75px;
}
.logo {
float:left;
z-index: 1000;
}