Group C will also feature Northern Ireland, Estonia and Belarus.
World champions France are in Group H that includes Iceland, Turkey, Albania, Moldova and Andorra.
One of the tougher draws -- Group F -- features Spain, Sweden, Norway, Romania, Faroe Islands and Malta.
England are placed in Group A along with the Czech Republic, Bulgaria, Montenegro and Kosovo.
The top two teams in each of the 10 groups will qualify for Euro 2020, which will be staged in 12 different venues across Europe. The semi-finals and final will be held at Wembley in London.
The qualifiers will begin in March, with the final round of games in November 2019.