Bearded Dragons where previously in the genus Amphibolurus along with most of the other Australian Dragons at that time. A few wxceptions come to mind were Physignathus (Water Dragons) and Frillys Chlamydosaurus. As Wulf said in the post below the genus Pogona was erected for the Bearded Dragons.

The Painted Dragon and Central Netted Dragon along with about 15 other species are in the genus Ctenophorus.

There are presently 6 species and one subspecies remaining in the genus Amphibolurus as listed in a post lower on the list.

Like anything, Books become outdated fairly quickly...not only the taxonomy but the advances in Captive Husbandry are fairly impressive.

Hope this Helps,

Scott Eipper