Projective symplectic group over a finite field
= Projective symplectic group over a finite field
{title2=$PSp_{2m}(q)=Sp_{2m}(q)/Z$}
The scalar center has order $\gcd(2,q-1)$. The quotient is simple except at $(m,q)=(1,2),(1,3),(2,2)$. The last exception is $Sp_4(2)\cong S_6$.