Proving Homomorphism from A4: No to 2, 4, 6; Yes to 3

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xmcestmoi
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(1) there is no homomorphism from A4 onto a group of order 2, 4, or 6

(2) there is a homomorphism from A4 onto a group of order 3.

Can anyone please give me some hints ?
 

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Since this is your problem, how about you start by showing us what work you've already done, and what thoughts you've already had on the problem?
 

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