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Behsa
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associativity of the extension of finie groups
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Extensions of $\Bbb Z_3$ by $PGL(2,q)$ where $q$ is odd
I am sorry I mean about a new character degree in one of them which does not exist in other one.
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Extensions of $\Bbb Z_3$ by $PGL(2,q)$ where $q$ is odd
Is there any difference between the character degrees of ${\rm PGL}(2,q)$ and this group?
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Extensions of $\Bbb Z_3$ by $PGL(2,q)$ where $q$ is odd
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Extensions of $\Bbb Z_3$ by $PGL(2,q)$ where $q$ is odd
I am very thankful for the complete and very useful comments.
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Extensions of $\Bbb Z_3$ by $PGL(2,q)$ where $q$ is odd
I am sorry for this mistake. I consider that the Schur Multiplier is equal to 2. And for the second group in the above discussion we have $G\cong S_3\times {\rm PSL}(2,q)$, is this true?
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Extensions of $\Bbb Z_3$ by $PGL(2,q)$ where $q$ is odd
Many Thanks for the helps. Excuse me you mean that we conclude that $G\cong {\Bbb Z_3}\times {\rm PGL}(2,q)$ and one more which is a subdirect product of $S_3$ and ${\rm PSL}(2,q)$?
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Extensions of $\Bbb Z_3$ by $PGL(2,q)$ where $q$ is odd
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Extensions of $\Bbb Z_3$ by $PGL(2,q)$ where $q$ is odd