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$Old$ November 3rd, 2009, 11:01 AM

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$Default$ order of factor group

If $G=<a>$ |a|=24, let $H=<a^6>$

In $G/H$ find the order of $Ha^2, Ha^3, Ha^4, Ha^5$

Using lagrange's theorem, would the order be $Ha^2=6, Ha^3=2, Ha^4=3, Ha^5=6$ ?

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