How to group data from one xml to other using XSLT?

How can we group data from one xml to other using XSLT ?

For example suppose we have an input :

<Vehicle>
    <Car Type="Sedan" Name="A"/>
    <Car Type="Hatchback" Name="B"/>
    <Car Type="Sedan" Name="C"/>
    <Car Type="Mini" Name="D"/>
    <Car Type="Mini" Name="E"/>
</Vehicle>

I want to change it to :

<Vehicle>
    <Car Type="Sedan">
        <Name>A</Name>
        <Name>B</Name>
    </Car>
    <Car Type="Hatchback">
        <Name>B</Name>
    </Car>
    <Car Type="Mini">
        <Name>D</Name>
        <Name>E</Name>
    </Car>
</Vehicle>