529 



Ab- 



Sym- 

 metrie- 

 art 



Sym- 

 metrie- 

 grösse 



Nr. 



Typus 

 I. Ordnung 



Charakteristische Zahlen 



Symbol 

 des Systems 



leitungs- 

 form 



Explicite 

 Symmetrie 



Verbandsymmetrie 



abl 



5 



4 



7 



2;tm 





a = 5 & = 1' 



1 (X 2) (1 III2K' 



abl 



5 



4 



8 







a=l' & = 5' 



1 (;t 1) (1 IIIaK 



abl 



5 



4 



9 



„ 





a=l' 6 = 5 



2;t(lIll2K 



abb 



5 



4 



10 



„ 





a= 5' b = b 



2;c 1 (1 liy 



abb 



5 



4 



11 



„ 





a = 5' b = l' 



1(;^2)(1III2) 



abb 



5 



4 



12 



1 1 



a = 5 b = b' 



1 (x 2) (1 Uli)' 



abb 



5 



4 



13 



,, 



1 



a = 5 b = l' 



1 ix 2) (1 IU2)" 



abb 



5 



4 



14 



„ 



1 



a= 1' b = 5' 



lUDdliy 



abb 



5 



4 



15 



„ 



1 



a=l' b = b 



2;^(lliy 



aab 



5 



4 



16 



„ 



1 



a = b' b = 5 



SzKlllIä) 



aab 



5 



4 



17 



„ 



1 



a = 5' fc = l' 



3;(1(1III2)' 



aab 



5 



4 



18 



„ 



1 



a = 5 fe = 5' 



3;cUiin2)" 



aab 



5 



4 



19 



„ 



1 



r. = 5 b = l' 



3;(1(1III2)"' 



aab 



5 



4 



20 



„ 



1 



a=l' b = 5' 



3;^(1III2) 



aab 



5 



4 



21 



J, 



1 



a=l' b = 5 



3 z (Ulla)' 



abc 



5 



4 



22 



,, 



1 



a = b' b = 5 c =1' 



3 ;^ 1(111«^'' 



abc 



5 



4 



23 



^J 



1 



a=5 ö = 5'c = l' 



szKini,)»' 



abc 



5 



4 



24 



„ 



1 



a=l' ö = 5' c=5 



3z(llll2)" 



a 



5 



4 



25 



" 



1 



a __ 5' 



l(;Kl)(lIII2)^5, 



"61 

 a 



5 



4 



26 



" 



1 



« 5' . 



- = T7 6 = 5 



a 1 



szdilWJv 



—:bb 

 a 



■ 5 



4 



27 



" 



1 



a 5' _ 

 — = 7; ö = 5 

 a' 1' 



SzdllWrs' 



■f' 



5 



4 



28 



-. 



1 



b 5' 



v-b 



2;f 1(11112)55' 



41 



5 



4 



29 



" 



1 



b b' 

 V 5 



2^1(111145- 



4' 



5 



4 



30 



„ 



1 



V 5 



2x1(111124 



4' 



5 



4 



31 



„ 



1 



,,b 5' 

 ö 5 



szdin^s. 



b b 













6 5' 





b b 



5 



4 



32 



" 



1 



b' 5 



3x (11112)55' 



b 



a=-rt 







5 



4 



33 



,, 



1 



a-l'- = - 

 b' 5 



3;t(ini2);5, 



abb 



5 



4 



34 



3x111 



1 



a = 5' ö := 4' 



I(;c2)(illl3) 



abb 



5 



4 



35 





1 



« = 5' & =8 



1(Z2)(1III3)' 



abb 



5 



4 



36 



„ 



1 



a = 4' & = 5' 



2x1(11113) 



abb 



5 



4 



37 



„ 



1 



rt = 4' & = 8 



2x1(11113)' 



abb 



5 



4 



38 



„ 



1 



a = 8 b=b' 



1(X2)(1I113)" 



abb 



5 



4 



39 



„ 



1 



a = 8 b=4' 



1 (X 2) (l III3)'" 



^11 

 a 



5 



4 



40 



" 



1 



a 5' 



SxKinwW 



> 



5 



4 



41 



" 



1 



^=^&=8 

 a 4 



2 X 1 (1 1113)4.5' 



4r 



5 



4 



42 



„ 



1 



b b' 

 ö'~8 



Kx 2) (11113)^,-8 



b b' 

 ^Wb 



5 



4 



43 



,, 



1 





3x1(11113)5-8 



b_b_ 

 '■b'b' 



5 



4 



44 



» 



1 



b 5' 

 &' 4' 



1 (X 2) (1 1113)4%- 



b b 

 %-b' 



5 



4 



45 



,. 



1 



'^ = «6^ = 4^ 



1(X2) (11113)4,5, 



a a a 



5 



4 



46 





1 



a 5' 



3xi(iin3);'5' 



a' a' a' 













«' 4' 





Abh. d. IL Cl. d. k. Ak. d. Wiss. XX. Bd. IL Abth. 



68 



