Complexity in Stars

How much complexity can exist inside a star?  I assume the
temperatures are too high for the (long term) existence of complex
chemical molecules, but I'm wondering about different kinds of
structures, perhaps involving persistent convection cells or maybe
even magnetic or electromagnetic activity.  There must be some kind 
of "weather" inside the sun to account for things like "sunspots" 
and solar flares, etc.  Is it conceivable that the interior of a 
star could support structures with enough complexity to actually
evolve and grow as distinct entities (like hurricane Jerry)?  Could
there be structures of a complexity equal to, say, the recursive
patterns in Conway's 'Life' game?  

Carrying this speculation to extremes, can we rule out the possibility
of some form of consciousness evolving inside a star?  Do the high
temperatures make the requisite level of complexity impossible?  If
not, and considering how much of the matter in the universe is in the
form of stars, is it possible that most conscious life in the universe
is inside stars?  

Presumably anything we would recognize as consciousness must have a
means of interacting with things outside itself, and communication
inside stars may be very difficult.  Maybe neutrinos could provide a
medium.