Can group of order 25 have a subgroup of order 6
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- 4. List all the elements of the subgroupin the group under addition, and state its order.27. a. Show that a cyclic group of order has a cyclic group of order as a homomorphic image. b. Show that a cyclic group of order has a cyclic group of order as a homomorphic image.Find the normalizer of the subgroup (1),(1,3)(2,4) of the octic group D4.