Prove that group A4 has no subgroups of order

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 27E: Prove that any group with prime order is cyclic.
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Prove that group A4 has no subgroups of order 6

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