Southerland scored 16 of his points in the second half as the unbeaten Orange (9-0) broke open a close game and won going away for their 51 straight regular-season, non-conference victory.
Michael Carter-Williams supplied a double-double of 12 points and 14 assists as Syracuse Coach Jim Boeheim racked up his 899th career victory.
Canisius (6-2) was paced by Isaac Sosa and Billy Baron with 15 points apiece.
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