Alphabetical sort problem

I am trying to sort an array of structs by he strings they hold. i contain their strings and then compare them to see if they should be swapped. then i swap them if they should. Though when i sort them they are out of order. below is my code and sample output... how can this be fixed;

		for (int i = 0; i < count; i++)
		{
			string temp = Arr[i].name;

			for (int j = 0; j < count; j++)
			{
				string temp2 = Arr[j].name;
					if (i != j && temp[0] > temp2[0])
					{
						swap(Arr[j], Arr[i]);

					}

					else if (i != j )
					{
						int k = 0;
						int smallest;
						if (temp.size() < temp2.size())
						{
							smallest = temp.size();
						}

						else
						{
							smallest = temp2.size();
						}

						while (i != j && temp[k] < temp2[k] && k != smallest)
						{
							k++;
							if (temp[k] < temp2[k])
							{
								swap(Arr[j], Arr[i]);
							}
						}
					}


			}
		}	

Sample output:

cloth
life
plate
knife
rock