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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. Conquense had only 3 away victories and 15 losses, the 4th worst result in the league. In June 2019, Nacho Alfonso was appointed head coach of the club. With him, the club had a good start to the season, being just 4 points behind the leader after the first 15 matches.
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