GROUPS OP ORDER P^ 297 



V. axz' ' =a'x-\-^'x' (mod p) 



VI. x'+a'x = (mod p). 

 Elimination of x ' between V and VI gives 



a' —Si' fi' =az' ' 

 and since z ' ' not = 



a' ~&^' ' not^O (mod p) 



In the groups under A, |P| is self- con jugate, under B, non- 

 self-conjugate. 



