20 MEMOIRS NATIONAL ACADEMY OF SCIENCES. [vol. xiv. 



VI, I3/3. aaa: 136, 145. 



aab: 234, 246, 253, 261, 351, 465. 

 VI, 2,a. aaa: 135, 246. 



aah: 145, 1G4, 326, 361, 523, 542. 



An equivalent set is derived by the substitution (13) (24). 

 VI, 2,|3. aaa: 135, 146. 



aab: 235, 246, 254, 263, 361, 451. 

 VI, 2,7. aaa: 135, 146. 



aah: 236, 245, 253, 264, 361, 451. 

 VI, 2,5. aaa: 135, 245. 



aah: 613, 624, 632, 641, 145, 235. 



An equivalent set is derived by the substitution (13) (24). 

 VI, 22a. aaa: 145, 235. 



aah: 135, 162, 245, 263, 364, 461. 



A second supplementary set is transformed into tlus by the substitution 

 (14) (23) {a,h,) {a,h,). 

 VI, 23a. aaa: 136, 145. 



aah: 234, 245, 256, 263, 351, 461. 



An equivalent set is reduced to this by the substitution (34) (56). 

 VI, 23/3. aaa: 135, 146. 



aah: 234, 245, 256, 263, 361, 451. 



Another supplementary set comes from this by the substitution (34) (56). 

 No. VI, 2,18 is reduced to VI, 23a by the substitution {a^bj (ajj^) {a^hj 



VI, 237. aaa: 135, 245. 



aah: 145, 163, 234, 265, 362, 461. 

 VI, 2,a. aaa: 135, 246. 



aab: 145, 162, 324, 361, 523, 546. 

 VI, 2^/3. aaa: 135, 246. 



aah: 146, 165, 321, 362, 524, 543. 



This is seen to arise from VI, 2^0 by the substitution (14) (23) (56). 

 VI, 2,7. aaa: 145, 136. 



aah: 234, 246, 261, 253, 351, 465. 

 VI, 2,5. aaa: 145, 235. 



aah: 612, 624, 631, 645, 135, 243. 

 VI, 2,6. aaa: 236, 245. 



aah: 146, 165, 153, 132, 354, 462. 

 VI, 3ja. aaa: 135, 246. 



aah: 145, 164, 326, 361, 523, 542. 

 VI, 3,a'. aaa: 135, 246. 



aah: 146, 163, 325, 362, 524, 541. 



Equivalent to VI, 3,0 by the substitution (BC) (aiaj)^)^) iajaj)^)^) 

 ia^afij)^). 

 VI, 3,|3. aaa: 135, 146. 



aah: 235, 246, 254, 263, 361, 451. 



This comes from VI, S,a by the substitution (AB) (13) (24) (aM. 

 VI, 3,/3'. aaa: 135, 146. 



aah: 236, 245, 253, 264, 361, 451. 

 VI, 3i7. aaa: 135, 245. 



aah: 613, 624, 632, 641, 145, 235. 



This also is equivalent to VI, 3,0, by the substitution (AC) (15) (26) 



(a A). 

 VI, 3i7'- aan: 135, 245. 



aab: 614, 623, 631, 642, 145, 235. 



