The group table of a group G of order 10 is given below. e a b C d f g h i j e e a b C d f 9 h i j a agdhje cib f bb dg fci jeah с chfbegidja dd jce hbfagi ffeig bj a c h d ggcji fa hbde hhieda cbjfg i iba jg hd fe C jfhaidegcb (a) Show that G is cyclic and has d as a generator. (b) Find a subgroup of G of order 5. (c) Write down two isomorphisms from the subgroup in part (b) to (Z5, +5).

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