It's essentially Maschke's theorem
Passman, D.S.
Rocky Mountain J. Math., Tome 13 (1983) no. 4, p. 37-54 / Harvested from Project Euclid
Publié le : 1983-03-15
Classification: 
@article{1250128028,
     author = {Passman, D.S.},
     title = {It's essentially Maschke's theorem},
     journal = {Rocky Mountain J. Math.},
     volume = {13},
     number = {4},
     year = {1983},
     pages = { 37-54},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250128028}
}
Passman, D.S. It's essentially Maschke's theorem. Rocky Mountain J. Math., Tome 13 (1983) no. 4, pp.  37-54. http://gdmltest.u-ga.fr/item/1250128028/