To bind checkbox with enum, we have to write some custom code. Here, below is the example of binding checkbox with enum.

Suppose we have a enum EmployeeGroup

public enum EmployeeGroup
    {
        [Display(Name = "Group 1")]
        Group1,
        [Display(Name = "Group 2")]
        Group2,
        [Display(Name = "Group 3")]
        Group3,
        [Display(Name = "Group 4")]
        Group4,
    }

then we have to create another enum for a store its bool value i.e either the value is selected or not.

 public class EnumModel
    {
        public EmployeeGroup EmployeeGroup { get; set; }
        public bool IsSelected { get; set; }
    }

and it is used in the main model as :

 public class EmployeeModel
    {
        public int Id { get; set; }
     
        public string Name { get; set; }
		
        public List<EnumModel> CheckBoxEmployeeGroup { get; set; }
    }

In Controller:

We have to fill CheckBoxEmployeeGroup as below:

 public ActionResult View()
        {
            EmployeeModel model = new EmployeeModel();

            model.CheckBoxEmployeeGroup = new List<EnumModel>();
            foreach (EmployeeGroup employeeGroup in Enum.GetValues(typeof(EmployeeGroup)))
            {
                model.CheckBoxEmployeeGroup.Add(new EnumModel() { EmployeeGroup = employeeGroup, IsSelected = false });
            }
            return View(model);
        }

In View:

Employee Group : 
  @for (int i = 0; i < Model.CheckBoxEmployeeGroup.Count; i++)
	{
	@Html.DisplayFor(m => m.CheckBoxEmployeeGroup[i].EmployeeGroup);
	@Html.CheckBoxFor(m => m.CheckBoxEmployeeGroup[i].IsSelected);
	@Html.HiddenFor(m => m.CheckBoxEmployeeGroup[i].EmployeeGroup);
	}
 @Html.ValidationMessageFor(model => model.EmployeeGroup, "", new { @class = "text-danger" })

Hope, this code will help you. Thanks