Homomophim and cannoical map assignement due in 13 hours

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urgent homomophim and cannoical map assignement due in 13 hours

due now
 
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I believe you can use the first isomorphism theorem. What is the isomorphism it provides, and how can you connect it with subgroups of G that contain the kernel?
 


i think it is not the induced isomorphism between the factor group and the image.
i think its just the "image of a subgroup and the preimage of the image of a subgroup",right?