The easiest way to do it is to use phpmyadmin to write the list of columns, then to change it as needed, in the example below I want to duplicate row with id=1078 and in this table I have id unique auto increment and alias unique.therefore I created my query as follow, with id & alias replaced by a desired value. and it worked like a charm.
INSERT INTO sy3_menuselect 1079, menutype, title, "alias", note, path, link, type, published, parent_id, level, component_id, checked_out, checked_out_time, browserNav, access, img, template_style_id, params, lft, rgt, home, language, client_id from sy3_menuwhere id=1078
Alternatively, to auto increment id, use the following Join statement:
INSERT INTO sy3_menuselect *
from (SELECT MAX(id+1 )from sy3_menu)a
join (select menutype, title, "alias", note, path, link, type, published, parent_id, level, component_id, checked_out, checked_out_time, browserNav, access, img, template_style_id, params, lft, rgt, home, language, client_idfrom sy3_menuwhere id=1079)b