Kami no Shokei or also called the "Divine Executioners" are outlaws of Vaizards that had gathered in order to destroy Soul Society. Their goal is simple, to destroy Soul Society and especially the corrupted political Gotei 13. Their reasons may all differ, such as from pure hatred to a specific religion issue, but the Kami no Shokeis had joined as one group in order to achieve their common goal.
Their central base is located in Karakura Town, which is hidden by reiatsu control and disturbance to create an illusion. It is technically a ruined building which everyone had forgotten about. The building is big, and most members are usually seen hanging around there, whether they are to spar with each other, or to relax.
The Kami no Shokei is set out by 5 divisions. These 5 divisions are named after their reasons.
"Shingaku" - Divinity."Those who set their goals to destroy Soul Society by the means of their own specific religion."
That is the Shingaku, the group of men who only view the world through the eyes of religion.
Sato Hana - Leader of Kami no Shokei.
"Zo" - Hatred"Those who set their goals to destroy Soul Society by pure means of hatred and tragedy it has caused."
That is the Zo, group of men who only view Soul Society as a pure enemy that they must destroy for causing them certain "pains."
Goman - Arrogance"Those who set their goals to destroy Soul Society by pure means to test their own powers out."
That is the Goman, group of men who strongly believes that they are mucch stronger than the mere shinigamis and that they will destroy the Soul Society and dominate the world.
Kodoku - Loneliness"Those who set their goals to destroy Soul Society as anarchists."
This is the Kodoku, group of men who are also called "anarchists." They despise the government control the Soul Society takes, and wishes to abolish it.
Chiniueta - Bloodlust"Those who set their goals to destroy Soul Society for mere bloodlust."
This is the Chiniueta, group of men who are blood thirsty and they only desire to kill. They only live to fight, and they fight Soul Society to kill.