6. Let G be a group that has a normal subgroup N of index 4. Use the correspondence theorem to prove that G must have a
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6. Let G be a group that has a normal subgroup N of index 4. Use the correspondence theorem to prove that G must have a
6. Let G be a group that has a normal subgroup N of index 4. Use the correspondence theorem to prove that G must have a subgroup of index 2. (Hint. What are the possible options for the quotient group G/N?)
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