5o sir, LES Giiori'ES d'ordre fini. 
lions génératrices : 
a— (i, 2, 3, 4) (5, 6, 7, 8) (9, 10,11, 12) (i3, i/j, i5, i6) 
X (17, 18, 19, 20) (21 , 22, 28, 24) (20, 26, 27, 28) (29, 3o, 3i , 32), 
b= (i, 5, 9, i3)(2, i4, 10, 6)(3, 7, II, i5)(4, 16, 12, 8) 
X (17, 21, 20, 29) (18, 3o, 26, 22) (19, 23, 27, 3i) (20, 32, 28, 24), 
c= (i, 17) (2, 26) (3, 19) (4, 28) (5, 23) (6, 32) (7, 21) (8, 3o) (9, 20) 
X ( 10, 18) (i 1 . 27 ) (12, 20) ( 1 3, 3i ) ( 14. 24) (i 5, 29) (16, 22 ). 
52. Y]. Le groupe 
\ ad — dn(], bc = cbO, bd = db%, cd—dcb 
a 
20 opéralions d'ordre 4i 
II » » 2 . 
Les isomorphismes qui engendrent le groupe associé sont 
rt= {b, b%)\ab, ab^) {c, c^) {ac, ac%) 
X (<r/, d%) {ad, ad^) {bcd, bcd%) (abcd, abcdd), 
b= (c, cO)(6c, bcd) (d. dQ) {bd, bdO) 
X (o, «0) (ab, ab^) (acd, acd(i) (abcd, abcdfi), 
c= {d, d%) {cd, cdO) (a, a%) {ac, ac%) 
X (6, b%) {bc, bcO) {abd, abdO) {abcd, abcdO), 
7l— {a, afi) {ad, adf)) {b, bO) {bd, bd%) 
X (c, c6) {cd, cdd) {abc, abc%) {abcd, abcdO). 
Il y a i 5 faisceaux d'ordre 8 
\a, bc\. 
F, = 
\a, bd\. 
F3 = 
\ a, cd\. 
F, = 
ac\ 
\b, ad\, 
Fe = 
\ b, cd\. 
F7 = 
je, ab\. 
Fs = 
ad\ 
c, bd\. 
F.o- 
\d, ab\. 
Fn = 
d, ac\. 
F„ = 
\d, 
bc\ 
¥[ = 
: ab, cd\. 
f; = 
\ ac, bd\, 
F3 = 
I ad, bc \ . 
substitutions généralrices du groupe régulier corres 
