DETROIT — The Houston Texans took advantage of a big mistake by Detroit Lions coach Jim Schwartz.

Shayne Graham’s 32-yard field goal with 2:21 left overtime lifted Houston to a 34-31 win over Detroit on Thursday after Schwartz broke an NFL rule on a scoring play.

Detroit kicker Jason Hanson had a chance to get Schwartz off the hook, but his 47-yard field goal attempt on the fifth possession of the extra period hit the right upright.

Schwartz threw a challenge flag when Houston’s Justin Forsett scored on an 81-yard touchdown run in the third quarter. Replays showed Forsett was down near midfield, but Schwartz negated the automatic review by challenging the play and was called for unsportsmanlike conduct.

“It’s on me,” Schwartz said to his assistant coaches and players on the sideline as he tapped his chest. “It’s on me.”

That touchdown pulled Houston within three points.

Arian Foster ran for 102 yards and two scores, including a 1-yard run with 1:55 left in the fourth quarter to cap a 15-play, 97-yard drive that took 5:43 off the clock and tied the score at 31.

AFC South-leading Houston (10-1) took its first lead when Graham made up for missing a field goal earlier in a turnover-filled OT. The Texans have won five straight — two in a row in OT.

Detroit (4-7) has lost three straight to make it extremely difficult to reach its goal of earning a spot in consecutive postseasons for the first time since the mid-1990s.

And as if the Lions don’t have enough problems, defensive tackle Ndamukong Suh could be in trouble with the league after his left cleat connected with Matt Schaub’s groin area in the first quarter. It wasn’t clear on replays whether it was intentional, but it might be tough for Suh to get the benefit of doubt.

Suh was on his chest, taken down by an offensive lineman, when he extended his left foot below Schaub’s belt.

Last year on Thanksgiving, Suh was ejected for stomping on the right arm of Green Bay offensive lineman Evan Dietrich-Smith and was suspended for two games.

Schaub shook off the blow, stayed in the game, and was 29 of 48 for 315 yards with 9-yard TD to Owen Daniels to tie the score at 14 late in the first half.

Detroit extended the longest losing streak in its annual holiday showcase.

First Quarter

Det—Leshoure 2 run (Hanson kick), 9:58.

Second Quarter

Hou—Foster 6 run (S.Graham kick), 10:57.

Det—Thomas 5 pass from Stafford (Hanson kick), 6:00.

Hou—Daniels 9 pass from Schaub (S.Graham kick), 2:11.

Det—Johnson 22 pass from Stafford (Hanson kick), 1:49.

Third Quarter

Det—FG Hanson 46, 7:03.

Hou—Forsett 81 run (S.Graham kick), 6:35.

Hou—FG S.Graham 45, 2:36.

Fourth Quarter

Det—Bell 23 run (Hanson kick), 13:31.

Hou—Foster 1 run (S.Graham kick), 1:55.

Overtime

Hou—FG S.Graham 32, 2:21.

A—64,827.

INDIVIDUAL STATISTICS

RUSHING—Hou, Foster 20-102, Forsett 5-87, Martin 1-17, Schaub 2-(minus 1). Det, Bell 5-47, Leshoure 12-32, Thomas 1-14, Stafford 2-7, Smith 3-6.

PASSING—Hou, Schaub 29-48-1-315. Detroit, Stafford 31-61-0-441.

RECEIVING—Hou, Johnson 9-188, Foster 5-15, Casey 4-38, Daniels 4-20, G.Graham 3-17, Walter 2-20, Martin 2-17. Det, Johnson 8-140, Pettigrew 8-74, Broyles 6-126, Scheffler 5-57, Leshoure 2-27, Thomas 2-17.