1.  day school(n = noun.group) - a private school taking day students only;
is a kind of private school
Antonym: boarding school

2.  day school(n = noun.group) - a school giving instruction during the daytime;
is a kind of school
Antonym: night school

3.  day school(n = noun.artifact) - a school building without boarding facilities;
is a kind of school, schoolhouse

N  school, academy, university, alma mater, college, seminary, Lyceum, institute, institution, palaestra, Gymnasium, class, seminar, day school, boarding school, preparatory school, primary school, infant school, dame's school, grammar school, middle class school, Board school, denominational school, National school, British and Foreign school, collegiate school, art school, continuation school, convent school, County Council school, government school, grant-in-aid school, high school, higher grade school, military school, missionary school, naval school, naval academy, state-aided school, technical school, voluntary school, school, school of art, kindergarten, nursery, creche, reformatory, pulpit, lectern, soap box desk, reading desk, ambo, lecture room, theater, auditorium, amphitheater, forum, state, rostrum, platform, hustings, tribune, school book, horn book, text book, grammar, primer, abecedary, rudiments, manual, vade mecum, encyclopedia, cyclopedia, Lindley Murray, Cocker, dictionary, lexicon, professorship, lectureship, readership, fellowship, tutorship, chair, School Board Council of Education, Board of Education, Board of Studies, Prefect of Studies, Textbook Committee, propaganda, scholastic, academic, collegiate, educational, ex cathedra.

admission day, all day long, all fools' day, all saints' day, all souls' day, american indian day, annunciation day, april fools' day, arbor day, armed forces day, armistice day, art school, ascension day, ashcan school, barbison school, barbizon school, bastille day, bissextile day, boarding school, boxing day, break of day, break of the day, business school, by the day, calendar day, call it a day, candlemas day, catholic school, charter school, childermas day, choir school, christian holy day, christmas day, church school, citizenship day, civil day, clarence day, clarence shepard day jr., class day, columbus day, commencement day, commonwealth day, composite school, comprehensive school, correspondence school, dance school, dancing school, day, day after day, day bed, day blindness, day boarder, day book, day by day, day camp, day care, day care center, day game, day in and day out, day in day out, day jessamine, day laborer, day labourer, day lily, day nursery, day of atonement, day of judgement, day of judgment, day of reckoning, day of remembrance, day of rest, day of the month, day of the week, day off, day return, day shift, day watch, decoration day, degree day, dental school, direct-grant school, discovery day, dominion day, driving school, each day, easter day, election day, elementary school, ember day, empire day, engineering school, every day, fast day, father's day, feast day, fete day, field day, finishing school, flag day, flying school, forever and a day, future day, gain the day, good day, grad school, grade school, graduate school, grammar school, groundhog day, guy fawkes day, high holy day, high school, historical school, holy day, holy day of obligation, holy innocents' day, hudson river school, inauguration day, independence day, industrial school, infant school, innocents' day, intermediate school, jewish holy day, judgement day, judgment day, junior high school, junior school, labor day, lady day, lammas day, language school, last day, law school, leap day, lord's day, lunar day, major fast day, market day, martin luther king day, may day, mean solar day, medical school, memorial day, michaelmas day, middle school, midsummer day, midsummer's day, minor fast day, mother's day, music school, naked as the day one was born, naked as the day you were born, name day, natal day, new year's day, night and day, night school, normal school, nursery school, nursing school, old school, old school tie, open classroom school, order of the day, pan american day, pancake day, parochial school, patriot's day, patriots' day, pioneers' day, polling day, poppy day, prep school, preparatory school, present day, presidents' day, primary school, private school, public school, quarter day, rag day, rainy day, red-letter day, reform school, religious school, remembrance day, rest day, riding school, robert e lee day, rogation day, sabbath school, saint patrick's day, saint valentine's day, saint's day, school, school assignment, school bell, school board, school bus, school crossing, school day, school dictionary, school district, school newspaper, school of dentistry, school of law, school of medicine, school of music, school of nursing, school of thought, school paper, school phobia, school principal, school ship, school superintendent, school system, school teacher, school term, school text, school year, secondary modern school, secondary school, secretarial school, seize the day, senior high school, sidereal day, six day war, solar day, special school, speech day, st john's day, st martin's day, st patrick's day, st valentine's day, summer school, sunday school, sunday school class, tag day, technical school, term day, texas independence day, thanksgiving day, three kings' day, time of day, trade school, training school, transfiguration day, twelfth day, united nations day, unlucky day, v-e day, v-j day, valentine day, valentine's day, vested school, veterans day, veterans' day, veterinary school, victoria day, victory day, vocational school, washing day, wedding day, work day, working day