Question: What conference is the team that beat 2016 Auburn Tigers football team in the Sugar Bowl in?

Context paragraphs:
2016 Auburn Tigers softball team: The 2016 Auburn Tigers softball team is an American softball team, representing Auburn University for the 2016 NCAA softball season.  The Auburn Tigers play their home games at Jane B. Moore Field.

2011 Auburn Tigers football team: The 2011 Auburn Tigers football team represented Auburn University in the 2011 NCAA Division I FBS football season.  The team was coached by Gene Chizik, who was in his third season with Auburn.  The Tigers played their home games at Jordan–Hare Stadium in Auburn, Alabama, and competed in the Western Division of the Southeastern Conference (SEC).  The Tigers entered the 2011 season after winning the 2010 BCS National Championship.  Auburn finished the year 8–5 overall and 4–4 in SEC play to place fourth in the Western Division.  They were invited to the Chick-fil-A Bowl, where they defeated Virginia, 43–24.

1987 Auburn Tigers football team: The 1987 Auburn Tigers football team represented Auburn University in the 1987 NCAA Division I-A football season.  Coached by Pat Dye, the team finished the season with a 9–1–2 record and won their first of three straight Southeastern Conference (SEC) titles.  Auburn went on to tie an undefeated Syracuse team in the 1988 Sugar Bowl, 16–16.

2016 Oklahoma Sooners football team: The 2016 Oklahoma Sooners football team represented the University of Oklahoma in the 2016 NCAA Division I FBS football season, the 122nd season of Sooner football.  The team was led by two-time Walter Camp Coach of the Year Award winner, Bob Stoops, in his 18th season as head coach.  They played their home games at Gaylord Family Oklahoma Memorial Stadium in Norman, Oklahoma.  They are a charter member of the Big 12 Conference.

1988 Auburn Tigers football team: The 1988 Auburn Tigers football team represented Auburn University in the 1988 NCAA Division I-A football season.  Coached by Pat Dye, the team finished the season with a 10–2 record and won its second consecutive Southeastern Conference (SEC) title, sharing it with LSU.  LSU handed Auburn its only conference loss of the year 7–6, in a game referred to as the "Earthquake Game".  Auburn lost to Florida State, 13–7, in the 1989 Sugar Bowl.

1993 Auburn Tigers football team: The 1993 Auburn Tigers football team represented Auburn University in the 1993 NCAA Division I-A football season.  Under first-year head coach Terry Bowden, the team went undefeated with a record of 11–0 and finished #4 in the AP Poll.  Due to NCAA probation, Auburn was banned from TV and post-season play, and suffered reduced scholarships.  The post-season ban prevented Auburn from playing the SEC Championship and a bowl game.  Nonetheless, Auburn was the only major college football team to finish the season undefeated.  The National Champions Foundation recognized Auburn as one of its 1993 national champions, however Auburn University only formally recognizes championships for the 1957 Auburn Tigers football team and 2010 Auburn Tigers football team seasons, although the official website for Auburn athletics does highlight the 1993 team.

2005 Auburn Tigers football team: The 2005 Auburn Tigers football team represented Auburn University in the 2005 NCAA Division I-A football season.  Despite having four starters from the 2004 team selected in the first round of 2005 NFL Draft, Auburn finished the season with a 9–3 record, including a 7–1 record in the Southeastern Conference.  The Tigers shared the SEC Western Division championship with LSU, but because the Bayou Bengals defeated Auburn 20–17 in overtime on October 22, the Tigers did not advance to the SEC Championship Game.  Head coach Tommy Tuberville became only the third Tigers coach to lead Auburn to a fourth consecutive win over arch rival Alabama when the Tigers defeated the Crimson Tide 28–18 at Jordan–Hare Stadium on November 19.  Auburn finished the season ranked #14 in both the Coaches Poll and AP Poll, with a #13 consensus ranking.

1976 Auburn Tigers football team: The 1976 Auburn Tigers football team represented Auburn University in the 1976 NCAA Division I football season.  At the end of the 1975 season, Ralph "Shug" Jordan retired after 25 years as head coach of the Auburn Tigers.  Doug Barfield, Jordan’s offensive coordinator, took over as head coach starting in 1976.  He coached the Tigers to a 3–8 record his first season, winning just 2 of 6 conference games.  However, Mississippi State was forced to forfeit their game that year, so Auburn's record officially improved to 4–7 (3–3)."'

2016 Auburn Tigers football team: The 2016 Auburn Tigers football team represented Auburn University in the 2016 NCAA Division I FBS football season.  The Tigers played their home games at Jordan–Hare Stadium in Auburn, Alabama and competed in the Western Division of the Southeastern Conference (SEC).  They were led by fourth-year head coach Gus Malzahn.  They finished the season 8–5, 5–3 in SEC play to finish in a tie for second place in the Western Division.  They were invited to the Sugar Bowl where they lost to Oklahoma.

2005 Sugar Bowl: The 2005 Sugar Bowl was a postseason American college football bowl game between the Virginia Tech Hokies and the Auburn Tigers at the Louisiana Superdome in New Orleans, Louisiana, on January 3, 2005.  It was the 71st edition of the annual Sugar Bowl football contest.  Virginia Tech represented the Atlantic Coast Conference (ACC) in the contest, while Auburn represented the Southeastern Conference (SEC).  In a defensive struggle, Auburn earned a 16–13 victory despite a late-game rally by Virginia Tech.

Supporting paragraphs: 2016 Auburn Tigers football team 2016 Oklahoma Sooners football team
Answer: the Big 12 Conference