218 THE REV. T. P. KIRKMAN ON NON-MODULAR GROUPS. 



^ = AB = 21875643 B = kb = 87563421 



i = jC = 54721638 "Et = vz = 21768435 



/ = 6E = 73265418 F = cm = 58431762 



n = z'N = 68745132 G = en = 78654312 



p = vR = 21647358 P = /?/ = 43218765 



r = mP = 15842763 T = NP= 57681324 



s = 7G = 75382614 L = BT = 64523187 



/ =/L = 13254687 H = SF = 63287154 



u =fM= 5634x287 I = QG = 46817253 



w = gS — 47316528 J = HD = 45712836 



a? = gN = 16573248 K = FE = 85672341 



a = iQ = 17435826 M = CP = 21436587 



/3 =jjj = 84325761, U = CK = 67854123 



V = BJ = 76438215. 



Nothing is easier now tlian to construct the remainder 

 of the group of 8 . 7 . 6. Thus 



oD and its powers are 



12345678 

 25743681 

 53847612 

 37148625 

 78241653 

 81542637. 



^c and its powers are 



12345678 

 37461258 

 45623718 

 61274538 

 23756148 

 74512368 

 56137428. 



The entire non-modular group of 8 . 7 . 6 is thus written : — 



