[GAP Forum] G-invariant linear character

[Dan Lanke]

Dear GAP Forum,

Let H be a normal subgroup of a finite group G.
Let \rho be a G-invariant linear character of H. 
Is it true that there exists a linear character
of G whose restriction to H is equal to \rho?

If the answer is no, how can I use GAP to find 
some examples?

Many thanks,
Dan
       
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