142 
Titles of transitive groups made with fewer than eleven 
elements, with the numbers of their equivalents. (Vide 
Art. II.) 
3-l=l+2 3 , Q=1 j 3-2=l+2 3 +3 21 , Q=l- 
4T=l+2 4 + l 2 2> Q— 3; 4-2=1 +2 4 -j-3 22 + 2 2 p, Q — °> 
4 , 3=ld-8.^+322> Q=l; 4*6=1 +8 3 j+322+6^_+62p, Q=l- 
5-l=l+4 5 , Q=6; 5-2=l+4 5 +5 2ai + 10 41 , Q=6; 
5-4=l+4 5 +5 221 +10 41 , Q=G; 
5 , 4 , 3=l+24g4-20 3 p4*1^2 2 l Q— -lj 
5- 4-3-2-l=l+24 5 + 20 312 +15 221 +30 41 +10 21 3 +20 32 Q=l. 
6- l=l+2 3 ,+l 2 3+2 6 , Q=60; 
6-l=l+2 32 +3 2 3, Q=20; 
6.2=1 +2 32 -J-3 22 p+4 2 3+2g, Q— 60; 
6'3=l+4 32 +4 3 p+3 2 3+6g, Q=20; 
6*4=1 +9 22 p4-6 42 + 8 3 2 , Q— 15; 
6*4=1 +8 32 4-3 2 2 42 +8g+3 2 p+l 2 3, Q=15; 
6 , 3-2=l + 18 42 +4 32 +4 3 p+9 2 2p Q=15; 
6 , 3 , 2 =l+4 3 2+9 2 2p+4 3 p+6 2 3+12 3 , Q=10; 
6-4-2=l+8 3 2+6 42 4-9 2 2p+13 2 8+ 3 2 p+8g, Q=15; 
6 , 5 , 2=l+2 0 3 2+ 24fj2 + 15 2a p, Q=6; 
6*4*3 =1+4 3 2+18 42 +4 3 p+9 2 2p+12 32 j+6 2 p+12q 
+ ^23? 
Q=10; 
