Date: Fri, 13 Sep 96 14:31:32 0000
From: David Evans 

Dear Forum,
Is it true that if $G$ is any non-trivial finite group then there exists
a non-split epimorphism $\phi : H \rightarrow G$ for some finite $H$? I
think this follows from a theorem of Gasch\"utz and some modular
representation theory, but
(a) I could be mistaken;
and
(b) if I'm not mistaken, could someone provide me with an explicit
reference for this fact?

David Evans.