The turn order can play by faction rather than specific players.
So at the moment it's:
Fosse/Maltman/WarningU2 (in any order) to play first. If you login once and need to login again after one of your allies has played that's fine, but please post a message here so we know to wait until you've logged in again.
After that it's:
DribNairb/IanDC/Bjarkekr/Grenlock/Hoplosternum (in any order). Theoretically once one of us has played our turn you shouldn't be logging in again (since you could perform a double move) and we shouldn't ever login before all 3 of you have played for the same reason. In practice though it doesn't really matter as long as none of us move units near the front line in this situation.
For example, we've often logged in before WarningU2 because he (now

) has no units near where the fighting takes place and can't always login until near the end of the turn timer.
The full set of game rules is at
http://www.chaosciv.com/index.php/topic,255.0.html but it's a long thread. If you ever need to login more than once or play out of turn it's usually going to be ok - just post a message to explain what's going on.