570 



Ab- 



Sym- 

 metrie- 

 art 



Sym- 

 metrie- 

 grösse 



Nr. 



Typus 

 I. Ordnung 



Charakteristische Zahlen 



Symbol 

 des Systems 



leitungs- 

 form 



Explicite 

 Symmetrie 



Verbandsymmetrie 



a 1 1 



6 



4 



7 



51V 



18' 



a = 2'7 



(4) (3 IV')' 



1 a 1 



6 ■ 



4 



8 



„ 



18' 



a = 2'7 



(3) (3 IV')- 



aa l 



6 



4 



9 



„ 



18' 



a = 2'7 



(5) (3 IV7' 



al 1 



7 



4 



1 



2 9''1V 



17 



a = 28 



2?>'l(3IV.j>' 



1 «1 



7 



4 



2 



,, 



17 



rt = 28 



299 5(3IV.J" 



a a 1 



7 



4 



3 



„ 



17 



rt = 28 



3 9>' 2 (3 IVo)'' 



a\ 1 



7 



4 



4 



„ 



12 



rt = 78 



l(9.5)(l/'IV2')s 



1 a 1 



7 



4 



5 



„ 



12 



rt = 78 



2 9 2(1;^'IV2')'' 



rt rt 1 



7 



4 



6 



„ 



12 



.a = 78 



dqy'lUz'lYi)'' 



a\ 1 



, 7 



4 



7 



„ 



18 



rt = 27 



l(9>5)(lx'lV2)s 



1 al 



7 



4 



8 



,, 



18 



rt = 27 



2(p2(l;t'IV2)'' 



aa\ 



7 



4 



9 



,, 



18 



a = 2 7 



3 9;'l (1;;'IV2)Ä 



a\ 1 



7 



4 



10 



3<plY 



18' 



a=l'8 



3 9^ 2 (3 IVg')' 



1 «1 



7 



4 



11 



j, 



18' 



a=l'8 



2 95 3 (3 IV,')" 



a« 1 



7 



4 



12 



j, 



18' 



rt= 1'8 



3 <p' 1 (3 IV,')" 



a 1 1 



7 



4 



13 





11' 



a = 88' 



3q^2{\xlY^Y 



1 al 



7 



4 



14 



,, 



11' 



rt = 88' 



Kqy-Ddziy,)" 



aal 



7 



4 



15 



,, 



11' 



a = 8 8' 



3 9>'l(l;fIV3)'' 



al 1 



7 



4 



16 



,, 



18 



a=l'8' 



3cp{lx'lY,)^ 



1 al 



7 



4 



17 



,, 



18 



a= 1'8' 



i((p2){ix'\Y3y 



aal 



7 



4 



18 



,j 



18 



a= 1'8' 



3<P'{\X'1Y3Y' 



al 1 



7 



4 



19 



3<plY' 



12' 



a=l'2 



3 ^ 2 (3 IVg)^ 



1 al 



7 



4 



20 



jj 



12' 



rt = 1' 2 



2 9:>3(3IV,)- 



aal 



7 



4 



21 



jj 



12' 



rt = 1' 2 



3 9p' 1 (3 IV3)'' 



al 1 



7 



4 



22 



jj 



1 1' 



rt = 22' 



3^2(1/IV3)« 



lal 



7 



4 



23 



jj 



1 1' 



a = 22' 



l{<pl)(lxlY,)y 



aal 



7 



4 



24 



j^ 



11' 



rt = 22' 



Scp'lUxlY,)'^ 



al 1 



7 



4 



25 



jj 



12 



a= 1'2' 



3<p{lx'lY3y 



lal 



7 



4 



26 



,j 



12 



rt = 1' 2' 



l{<p2){lx'lY,y 



aal 



7 



4 



27 



jj 



12 



a=l'2' 



3<p'{U'IV3')'' 



al 1 



8 



8 



1 



5;. IV 



11' 7 7' 



rt = 2 2' 8 8' 



5zl(2zlV)s 



1 al 



8 



8 



2 





11' 7 7' 



a = 2 2' 8 8' 



2(;fl)(2;KlV)v 



aal 



8 



8 



3 



jj 



1 1'7 7' 



a = 2 2' 8 8' 



6/ 1(2;^ IV)'' 



a 1 1 



8 



8 



4 



)j 



12' 7' 8 



a= 1'2 7 8' 



4(xl)(3zlV)s 



1 a 1 



8 



8 



5 



jj 



1 2' 7' 8 



rt = 1'2 7 8' 



3 (;^ 2) (3 z IV)'' 



a a 1 



8 



8 



6 



jj 



12' 7' 8 



rt = 1'2 7 8' 



5(zl)(3zIV)'' 



1 1 



8 



8 



7 



j^ 



12 7' 8' 



a= 1'2'7 8 



i(x-i)(SxlYy 



lal 



8 



8 



8 



„ 



1 2 7' 8' 



a = 1' 2' 7 8 



3{x2){SxlY'y 



aal 



8 



8 



9 



„ 



1 2 7' 8' 



a = l'2'78 



5(;.l)(3zIV')'' 



al 1 



8 



8 



10 



„ 



1 2' 7 8' 



a=l'27'8 



5 ;^ 1(5 IV)« 



1 al 



8 



8 



11 



„ 



12' 7 8' 



a = l'27'8 



4;^ 2 (5 IV)" 



a a 1 



8 



8 



12 



„ 



1 2' 7 8' 



a = l'27'8 



6/l(51V)A 



al 1 



8 



8 



13 



„ 



1278 



a=l'2'7'8' 



5/(3 9/IV)s 



1 al 



8 



8 



14 



„ 



1278 



rt= 1'2'7'8' 



2(;^3)(3<p'IV)- 



rt a l 



8 



8 



15 



„ 



1278 



rt=l'2'7'8' 



6y{S(p'lY)>' 



a 1 1 • 



8 



8 



16 



„ 



1 1'2 2' 



a = 77'8 8' 



4{xl){3q>lY')s 



1 rt l 



8 



8 



17 



„ 



1 1' 2 2' 



a = 77'8 8' 



3{xi){3(plYr 



rt a 1 



8 



8 



18 



,, 



1 1'2 2' 



rt = 7 7'8 8' 



5(;;1)(3^IV')" 



al 1 



8 



8 



19 





11' 8 8' 



a = 2 2' 7 7' 



4(/l)(39'lV)s 



1 rt 1 



8 



8 



20 i 



1 1'8 8' 



a = 2 2' 7 7' 



3(xl)(3.^IV)'' 



aa 1 



8 



8 



21 



" 



11' 8 8' 



rt = 22'7 7' 



5 (/ 1) (3 9> IV)'' 



