Move camera certain distance away from object, but keep object centered (with specific camera rotation)

I have a character of which the camera should be positioned so that it:

• – has a certain distance from the character object (e.g. 10 units)

• – has a specific rotation (e.g. 45° on the x-axis)

• – keeps the object centered on the screen

My attempt so far:

 public GameObject camera;
 public GameObject character;
 private Vector3 distanceToChar = new Vector3(10f, 10f, 10f);
 
 void Update() {
   camera.transform.position = character.transform.position + distanceToChar
 }

However, then, the object isn't centered on the screen. How can I do so?

Thanks in advance!