How independent are the copies of Smith from each other?
It seems that mostly the copies are subordinate to him. For example, they come only after the real Smith appears, they do not make other copies (I think), in the last fight with Neo they stand patiently just because the real Smith told them to, etc.
If this is not the case, I would guess that they are at least independent of each other but working towards the common goal of completely overrunning The Matrix, but is there any source that states this?
However the main question is, if any of the above are true, why did Smith look terrified after he infected The Oracle? The maniacal laughter of the Oracle-Smith is also not very clear. Was she just happy to be infected? Did she feel more powerful than the real Smith? This also doesn't seem to be the case, as the Oracle-Smith is also one of the Smiths that are standing patiently during the last fight, just because the real Smith told them to.
So how independent are the copies of Smith from each other, or what kind of authority hierarchy do they have?