531 



Ab- 



Sym- 



metrie- 



art 



Sym- 

 metrie- 

 grösse 



Nr. 



Typus 

 I. Ordnung 



Charakteristische Zahlen 



Symbol 

 des Systems 



leitungs- 

 form 



Explicite 

 Symmetrie 



Verbandsymmetrie 



4' 



7 



4 



26 



297 m 



1 



« = 6 b= = 2 



3^1(11114)^5 



b 

 b 



7 



4 



27 



„ 



1 





B<p"(lUh) 



abb 



7 



4 



28 



29/ III 



1 



a = 5 Ö=r4 



i(?'4)(iiiy 



abb 



7 



4 



29 



„ 



1 



a=4 b=h 



2<p3(lIII,) 



abb 



7 



4 



30 



„ 



1 



a=4 ö=8 



If9'3)(llll6) 



b b 













b 4 





'Wv 



7 



4 



31 



" 



1 



P"~5 



2<p5(1IIIbK 



h b 













b 4 





''Vv 



7 



4 



32 



" 



1 



6 



S^'Sdliy 



abb 



7 



4 



33 



3<pIII 



1 



a = 4' & = 1' 



29^4(11115) 



abb 



7 



4 



34 



„ 



1 



a = 4' b = 4 



29^3 (1111b) 



abb 



7 



4 



35 



„ 



1 



a = 1' b = 4' 



1(9'2)(1I1I5) 



abb 



7 



4 



36 



,, 



1 



a = l' b = 4 



l{<pl)ailh) 



abb 



7 



4 



37 



„ 



1 



a = 4 & = 4' 



1(9'4)(111I5)' 



abb 



7 



4 



88 



„ 



1 



a = 4 b = l' 



l(<p4){lliy" 



a 



7 



4 



39 



" 



1 



a 4' 



3 9'2(lliy^4- 



« 77 



—,bb 

 a 



7 



4 



40 



„ 



1 



a _ 4' , _ - 

 a' "~ 1' ~ 



3 9?'iaiii6)i'4' 



b_b_ 

 ^b'b' 



7 



4 



41 



" 



1 



b 4' 

 ö' 4 



1(9'3)(1III5):4- 



b b 

 b' b' 



7 



4 



42 



>> 



1 



1- ^ ^' 

 b' 4 



1(9' 5) (11115)44, 



lab 



8 



8 



1 



ixni 



15' 



a = 2 6' b = 2'6 



2(x3)(l^Iiy= 



lab 



8 



8 



2 



,, 



15' 



a = 2 6' b = 1'5 



2(;f2)(l.-tlll4)= 



lab 



8 



8 



8 



jj 



15' 



n = 1'5 b = 2 6' 



3(;f3)(l.rIIl4K 



lab 



8 



8 



4 



^, 



15' 



rt = 2'6 b = 26' 



4x2(l:/rIll,K 



abb 



8 



8 



5 



^, 



16' 



a = 1'5 b = 2'6 



4(zl)(l.Tliy 



abb 



8 



8 



6 



,, 



15' 



a = 2'6 b = 1'5 



5/3(1:^1114) 



abb 



8 



8 



7 



,, 



15' 



rt = 2'6 b = 2 6' 



4(;t2)(l-TlIU 



abc 



8 



8 



8 



,, 



15' 



= 1'5 b = 2 6' c = 2'6 



ö/d^iiy 



abc 



8 



8 



9 



,, 



15' 



a = 1'5 b = 2'6 c = 2 6' 



e/KK-riiu) 



abc 



8 



8 



10 



,, 



15' 



a = 2'6 b = l'5 e = 26' 



5^2) (1.^1114) 



lab 



8 



8 



11 



^, 



15 



a=l'5' b = 26 



2 iz 2) (2 1114)^ 



lab 



8 



8 



12 



j, 



15 



a = 1'5' b = 2'6' 



3{%S){2UhY 



lab 



8 



8 



13 



,, 



15 



n=:26 b = 2'6' 



3 (;t 2) (21114)'^ 



alb 



8 



8 



14 



,, 



15 



a = 1'5' b = 2 6 



3 (z 1) (2 III4)« 



alb 



8 



8 



15 



jj 



15 



a = 1'6' b = 2'6' 



3 (x'i) {-211^)0' 



alb 



8 



8 



16 



,j 



15 



a = 2 6 b = 1'5' 



3(x3)(2Ill4)« 



alb 



8 



8 



17 



jj 



15 



a = 26 b = 2'6' 



3(x3)(2Ill4)«' 



alb 



8 



8 



18 



jj 



15 



a = 2'6' b = 1'5' 



4/2(21114)'^ 



alb 



8 



8 



19 



51 



15 



a = 2'6' b =: 2 6 



4/ 1 (2III4K 



abb 



8 



8 



20 



jj 



15 



a = 1'5' b = 2 6 



5;f(2IIl4) 



abb 



8 



8 



21 



,^ 



15 



a = 1'5' b = 2'6' 



5zU2IIl4) 



abb 



8 



8 



22 



,, 



15 



a = 2 6 b = 1'5' 



5 ;f 3(21114) 



abb 



8 



8 



23 



^, 



15 



rt = 26 b = 2'6' 



5 ;f 3(21114)' 



abb 



8 



8 



24 



„ 



15 



a = 2'6' b = 1'5' 



5/3(2 1114)" 



abb 



8 



8 



25 



,, 



16 



a = 2'6' b = 2 6 



5/2(21114) 



aab 



8 



8 



26 



jj 



15 



a= 1'5' b = 26 



4 (/ 1) (2 III4) 



aab 



8 



8 



27 



jj 



15 



a = 1'5' b = 2'6' 



4(/2)(2IIl4) 



aab 



8 



8 



28 



jj 



15 



a = 26 b = l'5' 



4(/2)(21Il4)' 



aab 



8 



8 



29 



jj 



15 



a = 26 b = 2'6' 



4(/2)(2 11l4)" 



aab 



8 



8 



30 





15 



a = 2'6' b = 1'5' 



5/3(2 1114)"' 



aab 



8 



8 



31 



,, 



15 



a = 2'6' b = 2 6 



5/1(2 1114)' 



abc 



8 



8 



32 



,, 



15 



a = 1'5' b = 2 6 c = 2'6' 



5(/l)(2 11l4) 



abc 



8 



8 



33 



„ 



15 



a = 2 6 b = 1'5' c = 2'6' 



5 (/ 2) (2 III4) 



68* 



