Diagonal Kick - Muay Thai Te Chiang
Downward Roundhouse Kick - Muay Thai Te Kot
Front or Straight Kick - Muay Thai Te Trong
Muay Thai Jumping Push Kick or Foot Thrust - Muay Thai Kradot Thip
Side Kick - Muay Thai Te Tad
Reverse Roundhouse Kick, Spinning Hook Kick, Spinning Heel Kick, etc. - Muay Thai Te Klap Lang
Muay Thai Roundhouse Kick - Muay Thai Te Tat
Muay Thai Slapping Foot Jab or Thrust - Muay Thai Thip Top
Muay Thai Straight Foot Jab or Thrust - Muay Thai Thip Trong
Axe Kick - Muay Thai Te Khao
Hope this helps.
You'll figure it out when your in a fight, wherever your little footsies lead you to kick.
Google it
At least a few from someone that practices muay thai