What does a compiled C++ class look like?

With some background in assemble instructions and C programs, I can visualize how a compiled function would look like, but it's funny I have never so carefully thought about how a compiled C++ class would look like.

bash$ cat class.cpp
#include<iostream>
class Base
{
  int i;
  float f;
};

bash$ g++ -c class.cpp

I ran:

bash$objdump -d class.o
bash$readelf -a class.o

but what I get is hard for me to understand.

Could somebody please explain me or suggest some good starting points.