Popular/Mainstream Genres can be roughly sorted into combinations of: House Techno Trance Hardcore Pop/New-Wave Disco/Funk
Most varieties of EDM are rooted in these above genres, but there are many exceptions.
Big List of Genres (Not exhaustive, not even close) Ambient Big Room House Breakbeat Bubblegum Bass Chill-Out/Chillstep Chiptune Synth-Pop Complextro Crossbreed Hardcore Deep House Disco House Downtempo Drum and Bass Electro House Electronica Electro Swing Euphoric Hardstyle (!!!) Eurobeat Eurodance (!!) Frenchhouse Funky Breaks Funky House Future Bass Future Funk Future House Glitch House (TheFatRat) Happy Hardcore/UK Hardcore Hardbass Hardcore Hard House Hardstyle Hard Trance Hip House IDM (Aphex Twin) Industrial Hardcore Jumpstyle (!!) Kawaii bass Kwaito Liquid D&B Makina Melbourne Bounce Melodic Dubstep New-Age New Wave Prog House (!!!) Prog Trance (!) Synth-Pop Synthwave/Retrowave Tech House Techno Trance Uplifting Trance Vaporwave