1.

Let G be a group of order 20 in which the conjugacy classes have sizes 1, 4, 5, 5, 5. Then which of the followings is/are TRUE ?

A. G contains a normal subgroup of order 1.
B. G contains a non-normal subgroup of order 5.
C. G contains a subgroup of order 10.
D. G contains a normal subgroup of order 4.
Answer» D. G contains a normal subgroup of order 4.


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