Let G be a group of order 1925 = 52 · 7 · 11 and H be a
Chapter 24, Problem 68E(choose chapter or problem)
Let G be a group of order \(1925 = 5^2 \cdot 7 \cdot 11\) and H be a subgroup of order 7. Prove that |C(H)| is divisible by 385. What can you say about Z(G) if the Sylow 5-subgroup is not cyclic?
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