The group b e a b C a e h с b bf e h 9 a d C с g f e h b a d g f e С ba ff b с d a gh e 9 C d a bh e f hd a b cefg e a b C e 9 h a ddh table of a group G is shown below. с dfgh dfgh gf d The subset J = {e, b} is a subgroup of G. (b)(DE) (T )(81) (a) List all the distinct left cosets and all the distinct right cosets of J in G. ban (b) State whether J is normal in G, briefly justifying your answer. 1911

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