Dear Forum, Dear Mr. Lewis;

 

 

 

gap> IsElementaryAbelian(Gps[1]);
false

 

 

I am using the reference " Issacs, Characters of finite groups " theorem 2.32 
(b)

 

 

it state that If G is p-group and Z(G) is cyclic then G has a faithful 
irreducible character

 

 

thanks.

 

 

 

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