Serialising subclass variables in inspector

Is it possible to serialise the variables in a subclass in the inspector (In list)?

At the moment I have a sub class, a base class, and a "class manager" that has a list of type baseclass. In runtime it adds classes of type subclass into the list of baseclass.
But when the classes are added to the list and updates the inspector, it looks like the inspector only shows the baseclass variables, and none of the subclass' variables.
For the most part it looks like the list supports subclasses, and I can call subclass functions and whatnot, but the inspector still doesn't serialise the subclass variables?

Is there a fix for this? Or should I find a different solution for having a list of different subclasses?

BaseClass.cs :

 using UnityEngine;
 using System.Collections;
 
 [System.SerializableAttribute]
 public class BaseClass {
 
     public string name;
 
     public int baseInt;
 
     public float baseFloat;
     public virtual void TestFunction(float flt)
     {
         baseFloat -= flt;
         Debug.Log("TestFunction baseclass called.");
     }
 }

SubClass.cs

 using UnityEngine;
 using System.Collections;
 
 [System.Serializable]
 public class SubClass : BaseClass {
 
     [SerializeField]
     public float subFloat;
 
     public override void TestFunction(float flt) {
         base.TestFunction(flt);
         Debug.Log(subFloat);
     }
 }

ClassManager.cs

 using UnityEngine;
 using System.Collections;
 using System.Collections.Generic;
 
 public class ClassManager : MonoBehaviour {
 
     public List<BaseClass> classList = new List<BaseClass>();
 
     BaseClass currentClass;
 
     public void Button() {
         BaseClass wow = new SubClass();
         AddClassToList(wow);
         currentClass = classList[0];
     }
 
     public void OtherButton() {
         currentClass.TestFunction(0.5f);
     }
 
     public void AddClassToList(BaseClass bs) {
         classList.Add(bs);
         print(bs.GetType());
     }
 
     public void RemoveClassFromList(BaseClass bs) {
         classList.Remove(bs);
     }
 }