compare issue while sorting

Hi, I wrote this program to implement bubble sort method

Code:

#include <iostream>
using namespace std;

template <class T>
class Bubble
{
	T *array;
	int length;
public:
	Bubble():length(0),array(0),count(0){}
	Bubble(int siz):length(siz),count(0){ array=new T[length];}
	~Bubble(){delete [] array;}
	void load_list(T []);
	void sort_list(T []);
	void show_list(const char *);
	void swap(T&,T&);
	int count;
};
template <class T>
void Bubble<T>::load_list(T list[])
{
	for(int i=0;i<length;i++)
	{
		array[i]=list[i];
	}
}
template <class T>
void Bubble<T>::sort_list(T list[])
{
	int swapped=1;
	load_list(list);
	show_list("Before");
	for(int i=0;i<(length-1) && swapped;i++)
	{
		swapped=0;
		count++;
		for(int j=0;j<(length-(i+1));j++)
			if(array[j]>array[j+1])
			{
				swap(array[j],array[j+1]);
				swapped=1;
			}
		
	}
	show_list("Sorted");

}
template <class T>
void Bubble<T>::show_list(const char *s)
{
	cout<<s<<endl;
	for(int i=0;i<length;i++)
		cout<<array[i]<<" ";
	cout<<endl;

}
template <class T>
void Bubble<T>::swap(T& x,T& y)
{
	T tmp;
	tmp=x;
	x=y;
	y=tmp;
}

int main()
{
	Bubble <char>b(4);
	char arr[]={'B','a','F','D'};
	b.load_list(arr);
	b.sort_list(arr);
	cout<<b.count;
	return 0;
}

Everything is fine except I don't want case sensitive sort.
I coud write compare function and call it instead of
array[j]>array[j+1];
In that function I would detect char instance of template like
if(sizeof(T)==sizeof(char))
but that seems to me trickier.
Can I overload operator > and inside detect if T==char , then for example compare with toupper or something like that.
If someone has any code it would be good

Have you considered specializing the template for sorting characters?

Code:

template <>
class Bubble<char>
{
  char *array;
  int length;
public:
  Bubble():length(0),array(0),count(0){}
  Bubble(int siz):length(siz),count(0){ array=new char[length];}
  ~Bubble(){delete [] array;}
  void load_list(char []);
  void sort_list(char []);
  void show_list(const char *);
  void swap(char&,char&);
  int count;
};

void Bubble<char>::load_list(char list[])
{
  for(int i=0;i<length;i++)
  {
    array[i]=list[i];
  }
}

void Bubble<char>::sort_list(char list[])
{
  int swapped=1;
  load_list(list);
  show_list("Before");
  for(int i=0;i<(length-1) && swapped;i++)
  {
    swapped=0;
    count++;
    for(int j=0;j<(length-(i+1));j++)
      if(toupper(array[j])>toupper(array[j+1]))
      {
        swap(array[j],array[j+1]);
        swapped=1;
      }

  }
  show_list("Sorted");

}

void Bubble<char>::show_list(const char *s)
{
  cout<<s<<endl;
  for(int i=0;i<length;i++)
    cout<<array[i]<<" ";
  cout<<endl;

}

void Bubble<char>::swap(char& x,char& y)
{
  char tmp;
  tmp=x;
  x=y;
  y=tmp;
}