Adding a 'Lighter Power Socket' to my 2007 DR 650

[superwoo]

I found the spare 12V power socket behind my headlight and would like to add a conventional 'Lighter Socket' for my air pump, GPS or heated jacket etc...I could simply cut the existing socket off and solder the wires to my new 'Lighter Socket' wires (with 10A fuse). But instead I would like to find the small plug to fit the existing stock socket.

Does anybody know what the the stock spare 12 volt connection socket is?

I will try to post a photo later.

Any other tips would be greatly appreciated.

Thanks.