Cannot group, sort and filter a specific column
PROBLEM
You cannot sort, group and/or filter a column even if the all three properties are true: CanUserSortColumns, IsFilteringAllowed, ShowGroupPanel.
CAUSE
Probably you are using a CellTemplate for that particular column and you have not specified the DataMemberBinding property of it like this:
<telerik:GridViewDataColumn Header="FirstName" >
<telerik:GridViewDataColumn.CellTemplate>
<DataTemplate>
<TextBlock Text="{Binding FirstName}" />
</DataTemplate>
</telerik:GridViewDataColumn.CellTemplate>
</telerik:GridViewDataColumn>
Set the DataMemberBinding property of the column to the field that you want the gridview to sort, group and filter on.
<telerik:GridViewDataColumn Header="FirstName" DataMemberBinding="{Binding FirstName}" >
<telerik:GridViewDataColumn.CellTemplate>
<DataTemplate>
<TextBlock Text="{Binding FirstName}" />
</DataTemplate>
</telerik:GridViewDataColumn.CellTemplate>
</telerik:GridViewDataColumn>