central product of two groups of order $p^3$ [on hold]
Let $p$ be a prime. Let $H=Zp \ltimes (Zp×Zp)$. Let $H∗H$ denote the
central product of $H$ with $H$.
Can some one tell me what is the $H∗H$. To which group it is
isomorphic. I need its presentation also. What is its center, derived
subgroup and frattini subgroup ?
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