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Let G be a finite group of order 63. If H and J are proper, nontrivial subgroups of G, H ≠ J, what is the largest order H ∩ J may have?

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Let G be a finite group of order 63. If H and J are proper, nontrivial subgroups of G, H ≠ J, what is the largest order H ∩ J may have?





 
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