WffWW JglP,—I 
128 ON THE THEORY OF GROUPS, 
by the general symbols 
1, a, /3, 7, 8, e, 
we have the table 
1, 
a, 
/3, 
7> 
8, 
e 
1 
1 
a 
/3 
7 
8 
e 
a 
a 
/3 
7 
8 
e 
1 
(3 
(3 
7 
8 
e 
1 
a 
7 
7 
8 
e 
1 
a 
/8 
8 
8 
e 
1 
a 
/8 
7 
e 
e 
1 
a 
/3 
7 
8 
while if we represent the second of these two forms, viz. the group 
1, a, a 2 , 7, ary, a 2 y, (a 3 = l, y 2 = 1, 73 = 0^7), 
by the same general symbols 
1, a, /3, 7, 8, €, 
we have the table 
1 a ¡3 7 8 e 
1 
a 
/3 
7 
8 
e 
a 
/3 
1 
e 
7 
8 
/3 
1 
a 
8 
e 
7 
7 
8 
€ 
1 
a 
/8 
8 
e 
7 
/3 
1 
a 
e 
7 
8 
a 
/3 
1