574 



Ab- 



Sym- 

 metrie- 

 art 



Sym- 

 metrie- 

 grösse 



Nr. 



Typus 

 I. Ordnung 



Charakteristisclie Zahlen 



Symbol 

 des Systems 



leitungs- 

 form 



Explicite 

 Symmetrie 



Verbandsymmetrie 



abl 

 ab 1 

 ah 1 

 abl 

 abl 

 ab 1 



■?7' 



7- 



7 



7 



7 



7 



7 



4 

 4 

 4 



4 

 4 

 4 



1 

 2 

 3 

 4 

 5 

 6 



2q>'lY 



1 



1 



1 

 1 

 1 

 1 



a=7 6=2 

 a = 7 6 = 8 

 a=2 6=7 

 rt = 8 6 = 7 

 « == 2 6 = 8 

 rt = 8 6 = 2 

 6 2 

 b' 7 



1 (^ 4) (1 lVi)h 

 1(<P4)(1IV2)''' 



2 95 3(1IV2)'' 

 2 9> 3 (1 IV2)''' 

 1 (v 3) (1 IVo)A 

 1(9p3)(1IV,)A' 



7 



4 



7 



" 



1 



2<p5(lIV2)^7 



4' 



■ 7 



4 



8 



" 



1 



6 7 

 6' ""8 



2 9.5(llVo)^8 



4' 



7 



4 



9 



)) 



1 



17 = 8 " = ^ 



3 «P 3 (UV,);* 8 



4^ 



7 



4 



10 



„ 



1 



6' 2 



b=7 «=« 



3^3(1IV2)'^7 



ab 1 

 «6 1 

 abl 

 abl 

 abl 

 abl 



7 

 7 



7 

 7 

 7 



7 



4 

 4 



1 



4 

 4 



11 

 12 

 13 

 14 

 15 

 16 



S.^'IV 



1 

 1 

 1 

 1 



1 

 1 



rt = 8' 6 = 1' 

 rt = 8' 6 = 8 

 rt = 1' 6=8' 

 rt=l' 6 = 8 

 rt = 8 6 = 1' 

 o = 8 6 = 8' 



2 i?' 4 (1 IV3)'' 

 2 9:- 3 (1 IV3)'' 

 1 {cp 2) (1 IV3)'' 

 1 (9p 1) (1 IV3)'' 

 l{<pi)(l IV3)" 

 1 (<p 4) (1 IV3)"' 



^11 



7 



4 



17 



" 



1 



a __ 1' 

 ä^^8^ 



3 9'2(1IV3)^8, 



^&1 



7 



4 



18 



" 



1 



rt' 8 



3 9.' 1 (1 IV3){-8' 



'F' 



7 



4 



.19 



" 



1 



6 8 

 6'~8' 



l(9.3)(lIV3r8 8' 



'h 



7 



4 



20 



„ 



1 



^ 8 



11 = TT, « = 1 



6 8 



1 (9 5) (1 1V3)^ g. 



abl 

 ab 1 

 abl 

 abl 

 abl 

 abl 



7 



7 

 7 

 7 

 7 

 7 



4 

 4 

 4 

 4 

 4 

 4 



21 

 22 

 23 

 24 

 25 

 26 



S<plV' 



1 

 1 

 1 

 1 

 1 

 1 



rt = 2' 6 = 1' 

 rt = 2' 6 = 2 

 « = 1' 6 = 2' 

 a=l' 6 = 2 

 rt = 2 6=1' 

 rt = 2 6 = 2' 



2 .p 4 (1 IV3')'' 

 2 9^ 3 (1 IVä')'' 

 1 (9p 2) (1 IV3')'' 

 1 (9, 1) (1 IV3')" 

 1 {cp 4) (1 IVs')* 

 1(9'4)(1IV3')"' 



-,11 

 a 



7 



4 



27 



" 



1 



« r 



a'~2' 



3 9^2(1^3')! .2- 



a 



7 



4 



28 



" 



1 



'. = 1 b^^ 



a 2 



8 9''l(lIV3')i'.2' 



4' 



7 



4 



29 



'. 



1 



b 2 

 6' 2' 



1(9p3)(1IV3')22' 



4' 



7 



4 



30 



„ 



1 



77 = ;^ «=1 

 6 2 



1(9;5)(11V3')^'2, 



rt& 1 



aöl 

 «6 1 

 «6 1 

 «6 1 

 «6 1 

 «6 1 

 «61 

 «61 

 «61 

 «6 1 

 «6 1 



8 

 8 

 8 

 8 

 8 

 8 

 8 

 8 

 8 

 8 

 8 

 8 



8 

 8 

 8 



8 



8 

 8 

 8 

 8 

 8 

 8 

 8 

 8 



1 



2 



3 



4 



5 



6 



7 



8 



9 



10 



11 



12 



5/ IV 



17' 



17' 



17' 



17' 



17' 



17', 



17 



17 



17 



17 



17 



17 



a = 1'7 6 = 2'8 

 rt = 17 6 = 2 8' 

 rt = 2'8 6 = 1'7 

 rt = 2 8' 6 = 1'7 

 rt = 2'8 6 = 2 8' 

 rt = 2 8' 6 = 2'8 

 fl = 17' 6 = 2'8' 

 rt = 1'7' 6 = 28 

 rt = 2'8' 6 = 1'7' 

 rt = 2'8' 6 = 28 

 rt = 28 6 = 1'7' 

 a = 2 8 6 = 2'8' 



14(/l)(l;rIV)'' 

 14U1)(1^IV)A' 

 3(;^4)(l.-rIV)'' 

 3(/4)(1.t1VF 

 2U5)(1.tIV)" 

 2(;i:5)ljrIV)"' 

 2 (/ 4) (2 IV)'' 

 2 {x 1) (2 IV)'' 

 4 7 3 (2 IV)'' 

 4 7 2 (2 IV)'' 

 2 (x 5) (2 IV)'' 

 2 (7 6) (2 IV)/" 



-,11 

 « 



8 



8 



13 



" 



17 



« 1'7' 



«' 2'8' 



57l{2IV)^2, 



