TABLE OF GROUPS. 253 
TYPE I. 
A.—Groups of the First Class. 
Symbol. Invariant Figure. Lie. Meyer. 
(Gag eG A Al Aa ieee Trisntlon. 5 Ab NAN AS. RAGA nse ehbo ch (31) (28) 
(2). { G;(AA'I’) He Two points, their joining line, and a line 
through one of these points............ (20) (15) 
(3). \ Gs (AA) le Two points and their joining line......... (11) =(9a) 
(4 Me | G; (WW) \ . Two lines and their point of intersection.. (12) (9b) 
(5). i G,; (A, lL’) tS Rointrandilines separates-aan 2: sesces see oe (10) = (8) 
(6). {4G (ay }. Lineal element. ........... € est Ae (ye) 
CO) Wescaye ys POINT ee. Coke ae (3) (2b) 
KSi)eel Gea) ae Baer thee a RS Sh ae eae. Zs (2) (2a) 
(9 ): } Gs ie INownvariant fe ures esac. east ereeni cree (1) (1) 
B.—Groups of the Second Class. 
(1). {G,(44/4”), |. Triangle and pencil of path-curves.. ..... (36) (26) 
CAS ena: ts Sameas G, (AAW) 28.0.0 0e.. Joes (27) (20) 
(CS) seer(A Ads js. Sameus GidAADi es). chuls. ck: (18) (14a) 
(SE SICEAGHING. ERCP cnr -1(@7)) ee a te re a a (19) (148) 
(a) eae GameanGe(Al) eo . i eletedr pate (7) ~~ (6) 
C.—Groups of the Third Class. 
( 1 ). { G, (AA’/A"K) 'z Triangle and pencil of conies having double 
CONGACTA MAS nets Oe ere eee ne (85) (26) 
(2 ). ; G2 (AIK) ie Conic and point A on it and tangent at A, (34) (25) 
() Ser eare-o ie Cae am apeeet oy a an eee (23) (17) 
(4 ). ; G; (AlS) f. Lineal element Aland pencil of conics hav- 
ing third order contact at A and touch- 
Tnigalie ted. ton Pp eee Ste DS, (14) (11) 
(ai) eas GacAnie-e- sSameraanG, (Abd). C8.en oe - (7 (1s) 
(Gist Gat) oars Winenllelementyca.b cssesuscet hs «<0. dese (8) 6) 
WG ean Cem(eAyy et wll 2s Pointescc. fe, eile act SA. bs sac cdc ds (5) (3b) 
SDC CR(G) one nee incr. ee heer tiat. oo. (4) (8a) 
