540 



Ab- 



Sym- 



metrie- 



art 



Sym- 

 metrie- 

 grösse 



Nr. 



Typus 

 I. Ordnung 



Charakteristische Zahlen 



Symbol 

 des Systems 



leitungs- 

 form 



Explicite 

 Symmetrie 



Verbandsymmetrie 



%bc 

 a 



12- 



8 



5 



8xm 





« 7 , ,, 



i7(zi)(iniv 



— bc 

 a 



12 



8 



6 



" 





% = \ b = ,' c = 7' 

 a 3 



17tel)(lIII); 



-bc 

 a 



12 



8 



7 



" 





« 3 , ,, 



17(zl)(im)j 



^,bc 

 a 



12 



8 



8 



" 





^, = 1 b = s' c = r 



a' 7 



17(zl)(lIII); 



—,bc 

 a 



■ 12 



8 



9 



" 





% = % b=3 c = 7 

 a 1 



9 Z (1111)1,5. 



a , 

 — bc 

 a' 



4 



ab c 

 ab c 

 ab c 

 ab c 



12 

 12 



12 



13 

 13 

 13 

 13 



8 

 8 



8 



8 

 8 

 8 

 8 



10 

 11 



12 



1 



2 

 3 



4 



10 III 





«=5; ^_3, ^_^, 



a' 1' 



b _S c _1 

 b' ~ 3' c' "~ 7' 

 _,&_3 c_7 

 " ~ fc'~ 3' c' ~7' 

 a = \' 6 = 3 c = 7 

 a = 8' b — i c = l 

 a = 4' ö = 2' c = 6' 

 a = 4' = 6' c = 2' 



6(;.1)(1III);,5, 

 8;^ 1(1 111)^3' 



9/(1111)3 3' 



(7) (IUI) 

 10(1111) 



(8) (IUI) 



(18) (1111) 



a , , 

 -,bb 

 a 



13 



8 



5 



)> 





a' 3 



(23) (Uli), 



— bb 

 a 



13 



8 



6 



" 





- = ö & = 4' 

 a' 3 



(23) (IUI); 



« 7 7 



-jbb 

 a 



13 



8 



7 



" 





- = ;^ & = 2' 

 a' 7 



(24)(1III)^ 



a , , 

 —,b b 

 a 



13 



8 



8 



" 





« 3 , ^, 



-; = ;; = 4 

 a' 7 



(24) (I iid; 



« 7 7 



— b b 

 a 



13 



8 



9 



" 





^ = 6^ ' = ^ 



(24) (1111)2-6' 



« 7 7 



— bb 

 a 



13 



8 



10 



" 





-, = ^ ^' = 8' 

 a t) 



(■;3) (l 111)2-6- 



« 1. T, 



— bb 

 a 



13 



8 



11 



)J 





a' 8' 



(20) (1111)4-8- 



—,bb 

 a 



13 



8 



12 



" 







(19) (1 111)4-8- 



" 7 



— bc 

 a 



b c 

 b c 



13 

 13 

 13 



8 

 8 

 8 



13 



14 

 15 







^ = ^ ö = 3 c = 7 



a 8 



b _3 c _7 



?;' "~ 2' c' ^ 6' 



„, & 3 c 7 



^ = « ;/ = 2^ 7 = 6^ 



11 (1 111)4-8' 

 (7) (1 111)^-3 



11(1111)2-3 



a 



13 



8 



16 



" 





a _2' 

 a' ~ 4' 



(19) (1 111)5-4- 



%bb 

 a 



13 



8 



17 



" 





rt _2' 

 a' 4' 



(21) (1111)2-4- 



-.11 

 a 



13 



8 



18 



JJ 





a _2' 

 a' ~ 8' 



(20) (1 111)^-8- 



— bb 

 a 



ah c 



abe 



ab c 



ab c 



13 



14 



14 

 14 

 14 



8 



8 



8 

 8 

 8 



19 



1 

 2 

 3 ■ 



4 



45 III 





a 2' _ 

 — =-; & = 5 



a' 8 



a = 4 6 = 3' c = 7' 

 a = 8 6 = 3' c = 7' 

 rt = 8 6 = 2' c = 6' 

 a = 8 6 = 6' c = 2' 



(21) (1 111)2-8- 



2(Ö2)(1 III4) 

 401(11114) 

 401(11114)' 

 2(6 2)(llll4)' 



