Galentoran was the only female Prime Minister to reach the quarter-finals of the All-Island Cup.
Kascia Weir and a half Vance were on the target in a 2-2 draw against United Treaty, and that was enough for the Glens to end at the top of group D.
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They will face the Bohemians, who beat Linfield 2-1 on Saturday, in the quarter-finals.
If Kim Turner’s team can defeat Bohs, they will be rewarded with one semi-final against one or the other Shelbourne of United Treaty.
Linfield’s defeat against the Bohemians left the fourth blues in group A, while Cliftonville ended their campaign with a tirelessly home draw against Peamount United.
Lisburn Rangers achieved a superb performance to defeat Shamrock Rovers 2-0 at the Tallaght stadium, but they missed the progress of the goal difference.
Quarter -final draw
Galentoran against Bohemians
Shelbourne against United Treaty
Galway United against Shamrock Rovers
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Wexford against Peamount United
Games to play the week ending on July 8
Semi-final
Galentoran or Bohemians against Shelbourne or United Treaty
Galway United or Shamrock Rovers against Wexford or Peamount United
Games to play the week ending on July 27