Series: Kamen Rider Fourze
Foundation X is a mysterious research foundation that originally funded and researched Gaia Memories. However, after the death of a member of the foundation, they decide to cancel their researching on the Gaia Memories to begin researching the O Medals in Kamen Rider OOO, before deciding to research and fund Gamou's work in the Zodiarts Switches. Their goals and intentions in conducting and funding such researches are left to be seen.
Lem Kannagi is the mysterious agent of Foundation X who is the main antagonist of Kamen Rider x Kamen Rider Fourze & OOO: Movie War Mega Max. He searches for a mysterious substance called SOLU which is found in two meteorites that collided with the Earth. Kannagi is also responsible for the creation of the Super Evolved Lifeform Mutamits, humans he induced mutation on, and the Dummy Inhumanoids, composed of Museum Dopants and the four Greeed. He operates in a lab in the Exodus spaceship. Kannagi can use his breath as a repelling or attracting force, or to dissolve unprotected humans. Upon gathering the items needed for his master plan, Kannagi betrays Foundation X to carry out his scheme to rule the world. He eventually gains the ability to transform into Super Gingaoh by using the Gingaoh Driver, also known as the Medal Switch Driver due to utilizing both Kamen Rider Poseidon's Core Medals and the SOLU Switch. In this form he becomes able to stop time with the powers of the Core Medals from the future, though this ability is ineffective against the Super Tatoba Combo, whose Medals also come from the future. He also demonstrates a hover pack like that of Kamen Rider Fourze and the ability to remove his cape in order to turn it into a large boomerang-shaped sword. Super Gingaoh is defeated by the Super Tatoba Combo and Fourze Rocket States, sent flying in front of the Exodus and exploding when the shuttle goes through him.
Katal is one of Lem Kannagi's subordinates. Foundation X experiments have turned him into a Mutamit known as Suddendath, who resembles a dragon with a breath weapon of bright blue energy. Katal fight Kamen Rider Fourze and the Kamen Rider Club before meeting his end at the hands of Kamen Rider Fourze Rocket States's Rider Tailspin Crusher.
Solaris is one of Lem Kannagi's subordinates. She has also been transformed into a Mutamit by Foundation X who demonstrates catlike abilities without transforming, but never transforms into full Mutamit form. Instead she utilizes a Zodiarts Switch to become a copy of the Unicorn Zodiarts. She is defeated by Kamen Rider Double CycloneJokerXtreme.
Chancellor Kiima is Lem Kannagi's superior in Foundation X. She is killed by Kannagi after his agenda to take over the world is exposed.