Yes, using all 600 EX-RT flashes, you can do this with a newer camera, like the 1DX or 5D Mark III. In such a case, you'd set the master on the camera to belong to one group, and that group runs E-TTL II, and the other two flashes in another group, and that group would be in manual mode. If you want different power settings for the two slaves, they would have to belong to different groups, but since you can have five groups, that's no problem.
When using the old, optical system, with which the 600 EX-RT can indeed command the 580 EX II as well, you can have three groups, but these groups don't work the same way as the new group mode. Here all flashed are in the same mode. If you use E-TTL II, then you can set a ratio between groups A and B, as well as an independent setting for group C.
You can also set all groups to manual mode. With one flash in each group, you can command them individually, so that each group has a different power setting. But they are all manual.
However, also with the old system, you can run the master in E-TTL II and have any number of slaves set to be in manual mode, regardless of the master's mode. This is called Individual slave in the 600 EX-RT, but can be done with the 580 EX II as well. Just hold the MODE button for a couple of seconds, and you enter this independent manual mode. Once set like this, such a slave will fire in sync with the master, but the power setting is done directly on the slave, as it doesn't belong to any particular group any longer, and thus doesn't get anything but the fire command from the general master/slave system. In a case like your's, you'd set the master to A+B+C mode.
This can be done regardless of whether you use the 600 EX-RT or one of your 580 EX II flashes as master. As long as you have at least one 580 EX II in there, it's optical communication only. It works with older cameras and radio communication as well, provided all involved flashes are of the 600 EX-RT type.