Prove that if H and N are subgroups of G with Na normal subgroup of Gthen N nHis normal in H but not neccesarly in G...

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$Prove that if H and N are subgroups of G with Na normal subgroup of Gthen N nHis normal in H but not neccesarly in G$

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2oTTal Subrup Subgroup be G Suppese e H awo N Hn N Sipco H E H Aroup as N LS 2ormal Subgroup S0 e H EN NOw EH ЕНПN 2Я e HnN 4 A H S4 G N Dormal Then a N dnaks -{s 12) 3 4) not nomal in Gi * S4. NDH

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Prove that if H and N are subgroups of G with Na normal subgroup of Gthen N nHis normal in H but not neccesarly in G...

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