575 



Ab- 



Sym- 

 metrie- 

 art 



Sym- 

 metrie- 

 grösse 



Nr. 



Typus 

 I. Ordnung 



Charakteristische Zahlen 



Symbol 

 des Systems 



leitungs- 

 form 



Explicite 

 Symmetrie 



Verbandsymmetrie 



> 



8 



8 



14 



5/ IV 



17 



« = 2'8' ' = '' 



4;f2(21V)';.2- 



abl 



8 



8 



15 



,, 



12' 



a = l'2 h = 7 8' 



3(;f2)(3lV)" 



abl 



8 



8 



16 



j, 



12' 



a = l'2 h = T8 



2 (z 2) (3 IV)'' 



abl 



8 



8 



17 



,, 



12' 



a = 7ö' &--=l'2 



3(/4)(3IV)'' 



abl 



8 



8 



18 



j, 



12' 



fl. = 7 8' b = 7'8 



3(/4)(3IV)''' 



abl 



8 



8 



19 



j, 



12' 



a = 7'8 &=1'2 



14 (x 2) (3 IV)'' 



abl 



8 



8 



20 



,, 



12' 



a = 7'8 & = 78' 



3(;t4)(3IV)''" 



4' 



8 



8 



21 



.. 



12' 



b 7'8 

 &' " 7 8' 



3(;f3)(3IV)'7,, 



4' 



8 



8 



22 



„ 



12' 



V 7'8 



^ = 777:7 « = 12 



b 7 8 



4{x2)(3IV)5,, 



abl 



8 



8 



23 



„ 



18' 



= 1' 8 & = 2'7 



3 (x 2) (3 IV')'' 



ab 1 



8 



8 



24 



?) 



18' 



a=l'8 & = 27' 



2(;t2)(3IV')'' 



ah 1 



8 



8 



25 





18' 



rt = 2' 7 6 = 1'8 



3 (x 4) (3 IV')" 



abl 



8 



8 



26 



jj 



18' 



a = 2' 7 = 27' 



3 (/ 4) (3 IV')''' 



abl 



8 



8 



27 



j, 



18' 



a = 2 7' & = 1'8 



14 U 2) (3 IV')" 



abl 



8 



8 



28 



„ 



18' 



a = 27' b = 2'7 



3 ix 4) {3 IV')"" 



4> 



8 



8 



29 



" 



18' 



b 2 7' 

 b' 2' 7 



3 (x 3) (3 IV')', 2- 



4. 



8 



8 



30 



,, 



18' 



^' 2 7' 



ö=2'7 «='^ 



4(x2)(3lV')^2- 



ahl 



8 



8 



31 





1 1' 



a = 7 7' & = 2 2' 



14(xl)(lxIV)" 



abl 



8 



8 



32 



„ 



1 1' 



a = 7 7' ?^ = 8 8' 



14(xl)(lxIV)"' 



abl 



8 



8 



33 



„ 



11' 



a = 2 2' b = 7T 



3te2)(lxIV)" 



abl 



8 



8 



34 



jj 



11' 



a = 8 8' 6 = 77' 



3 U 2) dz IV)"' 



abl 



8 



8 



35 



j, 



1 1' 



a = 2 2' h = 88' 



2(/2)(lxIV)" 



abl 



8 



8 



36 



^, 



1 1' 



a = 8 8' ö = 2 2' 



2U2)(lxIV)"' 



4^ 



8 



8 



37 



„ 



1 1' 



b 2 2' 



b' 7 7' 



2(xl){lzIV)2 7 



4^ 



8 



8 



38 



:7 



1 1' 



b 8 8' 

 &' ~ 7 7' 



2 (/l) dz IV)? 8 



4' 



8 



8 



39 



jj 



1 1' 



l-'4 — «■ 



3{x2)(lzIV)$-7 



4' 



8 



8 



40 



jj 



1 1' 



hn; »--■ 



3(x2)(lzIV)^8 



abl 



8 



8 



41 





18 



a = 2'7' & = 2 7 



3 ix 2) (1 /' IV)" 



abl 



8 



8 



42 



j^ 



18 



a = 2'7' & = 1'8' 



2 ix 4) (1 x' IV)" 



abl 



8 



8 



43 



j, 



18 



a = 27 b = 2'7' 



14^1) dz' IV)" 



abl 



8 



8 



44 



,^ 



18 



«=27 h = 1'8' 



14 UD dz' IV)"' 



abl 



8 



8 



45 



,, 



18 



a = l'B' h = 2'7' 



2 (z 3) dz' IV)" 



abl 



8 



8 



46 



,j 



18 



a = l'B' 6 = 27 



3(zl)dz'IV)" 



^11 

 a 



8 



8 



47 



" 



18 



a 2'7' 

 rt' 1'8' 



4(zl)(lz'IV)i-2' 



^." 



8 



8 



48 



- 



18 



rt' 1'8' 



5(zl)(lz'IV)lV 



4' 



8 



8 



49 



„ 



18 



b 27 

 b' 2'7' 



2 (z 2) dz' IV)!; 2- 



4> 



8 



8 



50 



jj 



18 



b 27 



4Ul)(lz'lV)2'o- 



abl 



8 



8 



51 





12 



fl = 7'8' 6 = 78 



3(x2)d/IV')" 



abl 



8 



8 



52 



,, 



12 



a = 7'8' h = 1'2' 



2 (z 4) dz' IV')" 



abl 



8 



8 



53 



„ 



12 



a = 78 ö = 7'8' 



14 (zD dz' IV')" 



abl 



8 



8 



54 





12 



a = 7 8 b = 1'2' 



uizDdz'iv')"' 



ahl 



8 



8 



55 





12 



rt = l'2' & = 7'8' 



2 (z 3) dz' IV')" 



abl 



8 



8 



56 



" 



12 



a = 1'2' ö = 7 8 



3{zl)dz'IV')'' 



