Mathematics · Abstract Algebra
Let G be a group of order 40. Then which of the following is true?
- 1G has exactly six subgroups of order 8.
- 2G has a normal subgroup of order 5.✓
- 3G has a subgroup of order 5 but no normal subgroup of order 5.
- 4G has no subgroup of order 8.
Correct answer
G has a normal subgroup of order 5.
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