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In the 2018-19 season the club was relegated to Tercera División by finishing 18th in the Segunda División B, Group 3.[2] Conquense had only 3 away victories and total 15 losses (4th worst result in the league) in that season.[3] In June 2019 Nacho Alfonso was appointed head coach of the club.[4] With him the club had a good start of the season, being just 4 points behind the leader after the first 15 matches.[5]