Groups and FieldsEasyThe Sylow Theorems ShareThe Sylow Theorems · Easy problemA group has order 545454. Does Sylow's first theorem guarantee a subgroup of order 181818?ANo, because 181818 is not a prime-power divisor of 545454BYes, because 181818 divides 545454CYes, because 54/18=354/18=354/18=3 is primeDNo, because 181818 is bigger than half of 545454Check Show answer Walk through it step by step Practice more like this Review this concept