Only partial type info for templated classes

[cal]

class C(T){}
class CC(T){}

struct S(T){}
struct SS(T){}

void main()
{
    import std.stdio;
    writeln(typeid(S!(SS!int)).name); // S!(SS!(int)).S
    writeln(typeid(C!(CC!int)).name); // C!(CC).C
}

Is there a way to get the full type info in the name for a 
templated class (i.e. like the struct)?