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Does someone have an idea about a possible way to count the number of normal subgroup that a group of order $p ^n $ has ($n \in \mathbb{N}$ )? Is there anyway we can count the maximal subgroups it has (i.e.- the groups of order $p^{n-1} $ ? ) ?

Thanks in advance!

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    In case you aren't the same person, there is a thread about this on MO. http://mathoverflow.net/questions/$1$08581/108584#1085842012-10-02

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