Level Up goes well beyond the 8 schools of Magic in D&D.
(1) acid, (2) affliction, (3) air, (4) arcane,(5) attack, (6) beasts, (7) chaos, (8) cold, (9) communication, (10) compulsion, (11) divine, (12) earth, (13) enhancement, (14) evil, (15) fear, (16) fire, (17) force, (18) good, (19) healing, (20) knowledge, (21) law, (22) lightning, (23) movement, (24) nature, (25) necrotic, (26) negation, (27) obscurement, (28) planar, (29) plants, (30) poison, (31) prismatic, (32) protection, (33) psychic, (34) radiant, (35) scrying, (36) senses, (37) shadow, (38) shapechanging, (39) sound, (40) storm, (41) summoning, (42) technological, (43) telepathy, (44) teleportation, (45) terrain, (46) thunder (47), time, (48) transformation, (49) unarmed, (50) undead, (51) utility, 52) water, (53) weaponry, (54) weather.
It's probably a good thing that there isn't a Wizard subclass for each and every one of these.

Just one, the Wizard (Arcanist).