What was the Native American Extermination Order?
The "extermination order" was an order issued by Brigham Young[BIO] through Daniel H. Wells,[BIO] on January 31, 1850, to stop “the operations of all hostile Indians and otherwise act as the Circumstances may require, exterminating such, as do not separate themselves from their hostile Clans, and sue for peace."
The first company of Pioneers arrives in the Salt Lake Valley.
April 12, 1849
April 18, 1849
Brigham Young advises Utah Valley Saints to be "vigilant" with self-defense with the indigenous groups but to also focus on "teach[ing] them to raise grain" and "order[ing] them to quit stealing."
October 15, 1849
January 8, 1850
Brigham Young advises Utah Valley Saints that "there is no necessity" for "warring with the Indians and killing them."
January 31, 1850
January 31, 1850
February 4, 1850
February 13, 1850
February 18, 1850
Daniel H. Wells issues an order directing officials to "exterminate" all natives that will not agree to "sue for peace."
Daniel H. Wells reports to Brigham Young his success in expelling Indians from Peteetneet River (Creek) area in Payson Canyon.
February 28, 1850
Brigham Young explains to Orson Hyde that the "Utah Lake Indians" had "killed many of our brethren's cattle" and "shot at the brethren at Utah" until "self-defense demanded immediate action."
Why did Brigham give the extermination order?
Brigham appealed to the United States military stationed at Fort Hall, Idaho, for help, but because of the distance and depth of the snow, Brigham was advised to send the local militia accompanied by U.S. Officers.
Before this order (and after), Brigham encouraged peace and restraint.
What was the result of the order?
The militia fought with natives armed with rifles and bows in the "Provo Bottoms" and Payson Canyon. About two dozen native combatants were killed in the Provo battle and at least one militia member was killed and several wounded.
Native women and children were also brought to Salt Lake City, housed and fed for the winter, and returned to their lands in the spring. Daniel Wells reported that Utah Valley was peaceful for two years afterward.
Was this meant to be an extermination or genocide?
No, probably not. The order resulted in two brief battles with relatively few causalities and prisoners were housed and fed and returned to their lands.
The order used the word "exterminate" in this context: "Cooperate with the inhabitants of said valley in quelling and staying the operations of all hostile Indians and otherwise act as the circumstances may require exterminating such, as do not separate themselves from their hostile clans and sue for peace."
So, maybe he didn’t order a mass killing, but Brigham Young was racist toward indigenous Americans, wasn’t he?
Yes, though his views seemed to generally reflect condescension and paternalism rather than hatred. Brigham Young believed that indigenous Americans came from a common ancestry dating back to the Book of Mormon.
What guidance did Brigham Young give people on how to interact with the Native Americans?
When Utah Valley residents complained to Brigham about the thefts, he directed them to avoid, where possible, violent conflicts with the Indians. Later, after a conflict between the settlers and the local indigenous groups, Brigham also requested that the Saints "restore them their property, and make ample satisfaction of killing one of their tribe." 
How did Brigham's policy of peace work out in practice?
Did Latter-day Saints ever ally themselves with Indigenous groups against other white Americans?
Sometimes. Paiute Indians[BIO] allied with Latter-day Saints in the southern Utah settlements during the Utah War (1857) against U.S. federal troops. A missionary to the Paiute Indians described them as the “battle ax of the Lord.”
Did Church leaders meddle in native American politics?
Did the Church ever apologize or acknowledge its role in these conflicts?
Somewhat. Church Historian, Elder Marlin K. Jensen[BIO] urged Utahans to “acknowledge and appreciate the monumental loss” Utah’s native American populations have experienced. However, the Church has not released an official apology for the clashes between the indigenous groups and the settlers.
“Everyone is unique and different in their own way. Some can reasoned with while others cannot. Some things are beyond anybody's control. All we can do is look at the past to better reform and sculpt our future.”