Set the group of an SpField item Programmatically

Question

I'm creating my ContentTypes and after that I'm trying to create my fields.

I'm curently hitting my head on the wall, after searching for a few hours about how to get the Groups, that you can place fields in(check Picture to see what I'm refering to)

Can someone explain how am i able to get a list of those Groups from my Picture?

var web = _Ctx.Web;
_Ctx.Load(web, w => w.ContentTypes, w => w.Fields);
_Ctx.ExecuteQuery();

foreach (lavaPOINT_Page page in new PageAndFieldData().Pages)
{
    if (!web.ContentTypes.ToList().Exists(i => i.Id.ToString() == page.ID))
    {
        var spbt = web.ContentTypes.Add(new ContentTypeCreationInformation()
        {
            Name = page.Name,
            Id = page.ID,
            Group = page.Group,
            Description = page.Group
        });
        _Ctx.Load(spbt, f => f, f => f.Fields.Include(i => i.InternalName));
        _Ctx.ExecuteQuery();
    }
}

var fields = web.Fields;
var Groups =  ? // how do i get the Groups *??

foreach (var field in new PageAndFieldData().Fields)
{
    var teaser = web.Fields.FirstOrDefault(i => i.InternalName == field.field_name); // if dont exist = create

    if (teaser == null)
    {
        var fieldXml = "<Field Type=\"Note\" DisplayName=\"Teaser\" Required=\"FALSE\" EnforceUniqueValues=\"FALSE\" Indexed=\"FALSE\" NumLines=\"6\" RichText=\"FALSE\" Sortable=\"FALSE\" Group=\"Fields\" ID=\"{fdfba8f7-4521-4db4-b6c2-8ab88e065834}\" SourceID=\"{5119e221-4abe-4200-8d82-910db701336a}\" StaticName=\"NewsPageTeaser\" Name=\"NewsPageTeaser\" RestrictedMode=\"TRUE\" RichTextMode=\"Compatible\" IsolateStyles=\"FALSE\" AppendOnly=\"FALSE\" UnlimitedLengthInDocumentLibrary=\"FALSE\"></Field>";
        var spField = web.Fields.AddFieldAsXml(fieldXml, false, AddFieldOptions.DefaultValue);

        //_Ctx.Load(spField);
        //_Ctx.ExecuteQuery();
    }

}

Answer 1

I found a way to get all the Groups. But kinda sure it aint the best.

var groups = fields.ToList().Select(i => i.Group).Distinct();