Core retainer for a lock with an interchangeable lock core

An outside handle assembly of a lock, comprising:

• a spindle including an upper slot and a lower slot, thereby defining two lateral walls, each said lateral wall including an upper cut defined in an upper side thereof and a lower cut defined in an underside thereof;
• a knob connected to the spindle to rotate therewith, the knob including an end wall having an opening defined therein and a projection formed in a periphery that defines the opening;
• and
• a core retainer mounted in the spindle and including a cylindrical main body including a first end with a flange formed on an outer periphery thereof and a second end, the flange including an outer end face that bears against the end wall of the knob, two retainer lips being formed on the outer end face of the flange and including a cut therebetween for fittingly receiving the projection of the knob to thereby prevent rotational movement of the knob relative to the core retainer, the core retainer further including an insert received in one of the upper slot and the lower slot of the spindle according to door handing, the insert including two lugs extended beyond the second end of the cylindrical main body, wherein the lugs are received in the upper cuts of the spindle when the insert is received in the upper slot of the spindle, and wherein the lugs are received in the lower cuts of the spindle when the insert is received in the lower slot of the spindle.