561 



Ab- 



Sym- 

 metrie- 

 art 



Sym- 

 metrie- 

 grösse 



Nr. 



Typus 

 I. Ordnung 



Charakteristische Zahlen 



Symbol 

 des Systems 



leitungs- 

 form 



Explicite 

 Symmetrie 



Verbandaymmetrie 



« 7. 7 



a 



8 



8 



20 



7 z VII 



18' 



a' 4 5 



5{z2)(3VIl4^, 



^11 

 a 



8 



8 



21 





1 1' 



a 4 4' 

 «' 5 5' 



4(x2)(lz'VII:)45 



abb 



8 



8 



22 



,j 



15 



a = 4 8 b = 4'8' 



3(z4)(3VIl7)<= 



abb 



8 



8 



23 



,, 



15 



a = 4 8 b= 1'5' 



2(z5)(3VII,K 



abb 



8 



8 



24 



n 



15 



a = 1'5' b = 4'8' 



3(z3)(3VII,K 



abb 



8 



8 



25 



)J 



14' 



a = 5'8 ö = 5 8, 



3te3)(3VIl7'r 



abb 



8 



8 



26 



»> 



14' 



a = 5'8 b = 1'4 



3(z3)(3VIl7'r' 



abb 



8 



8 



27 





14' 



a = 1'4 b = 5'8 



3 (/ 4) (3 VI1;'K" 



abb 



8 



8 



28 



,, 



14' 



a = 1'4 b = 58' 



3{z4)(3VlVr' 



abb 



8 



8 



29 



jj 



14 



« = 58 b = 5'8' 



2(z4)(lz'VIl7'K 



abb 



8 



8 



30 



jj 



14 



a = 5 8 b= 1'4' 



14(xl)(lz'Vll7'K 



abb 



8 



8 



81 



„ 



14 



a = 1'4' = 58 



2(z2)(lz'VlVK 



abb 



8 



8 



32 



jj 



14 



a = 1'4' b = 5'8' 



4zl{l;^'VlVK 



ab b 



8 



8 



33 



j^ 



14 



a = 5'8' b = 1'4' 



2(/2)(lz'Vn7'K 



ab b 



8 



8 



34 



,, 



14 



a = 5'8' ö = 5 8 



14(xl)(lz'VIl7r 



a a a 













a 1'5' 





a' a' a' 



8 



8 



35 



" 



15 



a' ~ 4'8' 



5te2){3Vil7)i-4, 



a a' a* 













a 1'5' 





a' a a 



8 



8 



36 



" 



15 



rt'~4W 



5z3(3VII7)^4- 



a «' 













a 5'8 





a' a 



8 



8 



37 



)) 



14' 



n' ^ 5 8' 



5z3(3VII,')|5, 



a a a 













a 1'4' 





a' a' a' 



8 



8 



38 



)> 



14 



a' 5'8' 



2(;t2)(lz'VII/)i-5, 



a a' a' 













rt 1'4' 





a a a 



8 



8 



39 



" 



14 



ö" ~5^ 



4(z2)(lz'VII7')^5, 



a a' 













a 5 8 





1-- 

 a a 



8 



8 



40 



" 



14 



ä^^5¥' 



4(z2)(lz'VlV)^5, 



" 7, 7 



a 



8 



8 



41 



)> 



18 



a' 4'5 



6xl(l/'VIV):,, 



IV. Tetragonale Sy 



9 VI 



9 VII 



9?? VI 

 99^^11 



3jrVII 



Abh. d. II. Cl. d. k. Ak. d. V\^iss. XX. Bd. IL Abth. 



9 



4 



1 



9 



4 



2 



9 



4 



3 



9 



4 



1 



9 



4 



2 



9 



4 



3 



10 

 10 

 10 

 10 

 11 



8 

 8 

 8 

 8 

 4 



1 

 2 

 1 

 2 

 1 



11 



4 



2 



11 



4 



1 



11 



4 



2 



ale by 



ngonie. 









1 



a = 5 



b = 7 



c = 3 



(6) (1 VI) 



1 



b 7 

 F~3 







(15) (1 VD^. 



1 



b _3 



b' 7 







(16) (1 VI)i' 



1 



a = 3 



b = 7 





(6)(1VI1) 



1 



a _ 3 

 a'^7 







(15) (1 VIl)^. 



1 



a __7 

 a' 3 







(16) (1 VII)^ 



18 

 14 

 12 

 16 

 1 



a = 45 

 « = 58 

 a = 34 

 o = 38 

 a = 5 



6 = 67 

 = 27 

 b = 78 

 ö = 47 

 ö = 7' 



c = 23 

 c = 36 



c = 3' 



6((p2)(lz'Vr) 

 6(?>3)(U'VI') 

 6(<p2)(U'VII)« 

 6(<p3)(l/'VII)^ 

 2^(1 VI) 



1 



« = 5 



3 





s^dVDg,,. 



1 



a = 3' 



b = r 





2^(1 VII)« 



1 



a _3' 







3^(lVII)^v 



72 



