Finite groups with eight non-linear irreducible characters (Q1335478)

The author states that there are essentially 62 types of finite groups satisfying the property of the title. They are given explicitly. The word ``type'' is meant in a broad sense; for instance the second type is \(T \times C_ 4\), where \(T\) is any group with precisely two non-linear irreducible characters. On the other hand we find ``concrete'' groups like the 19th type: \(\text{PSL}(2,13)\), but there are also some types for which it is not clear to the reviewer whether they actually exist. The results obtained rely heavily on earlier work of the author and some others. It is remarkable that no mention is made to related work of the Mainzer group theory school.