535 



Ab- 



Sym- 

 metrie- 

 art 



Sym- 

 metrie- 

 grösse 







•Charakteristische Zahlen 







Nr. 



Typus 

 I. Ordnung 







Symbol 

 des Systems 



leitungs- 

 form 



Explicite 

 Symmetrie 



Verbandsymmetrie 



Ibc 



14 



8 



19 



5(5111 



14' 



& = 2 3' c = 6 7' 



55(3111)« 



Ihc 



14 



8 



20 



„ 



14' 



& = 67' c = 23' 



501(3 111)'^ 



ab c 



14 



8 



21 



„ 



14' 



« = 5 8' ö = 2 3'c = 6 7' 



7(5(3 111) 



ab c 



14 



8 



22 



,, 



14' 



a = 5 8' & = 6 7'c = 2 3' 



7Ö1 (3 III) 



abb 



15 



16 



1 



10;t III 



1 1' 5 5' 



a = 33'7 7' ö = 22'6 6' 



18 ix 1) {2 X 111) 



abb 



15 



16 



2 



,, 



11' 5 5' 



a = 33'7 7' & = 44'8 8' 



18 (z3) (2;. 111) 



abb 



15 



16 



3 



„ 



1 1' 5 5' 



a = 22'6 6' & = 33'7 7' 



7(/l)(2;/III) 



abb 



15 



16 



4 



,, 



11' 5 5' 



a = 2 2' 6 6' ö = 4 4' 8 8' 



18(;.3)(2;.III) 



abb 



15 



16 



5 



„ 



1 1'5 5' 



a = 4 4' 8 8' ö = 3 3' 7 7' 



10;^ 1(2;^ III) 



abb 



15 



16 



6 



„ 



1 1'5 5' 



a = 44'8 8' = 22' 6 6' 



8 (z 2) (2;^ 111) 



Ibc 



15 



16 



7 



„ 



1 4' 5' 8 



& = 2 3 6' 7' c = 2' 3' 6 7 



10/2(3/III)<; 



Ibc 



15 



16 



8 



„ 



1 4' 5' 8 



& = 2'3'67 c = 236'7' 



7(;f2)(3/IIl)« 



ab c 



15 



16 



9 



" 



1 4' 5' 8 



a = 1' 4 5 8' b = 236'T 

 c = 2' 3' 6 7 



1^1(3^111) 



ab c 



15 



16 



10 



" 



1 4' 5' 8 



a=l'458' ?- = 2'3'67 

 c = 2 36'7' 



11/(3/111) 



abb 



15 



16 



11 



„ 



1 2' 5 6' 



a = l'25'6 ö = 34'78' 



7 (/3) (4 III) 



abb 



15 



16 



12 



„ 



1 2' 5 6' 



a=l'25'6 & = 3'47'8 



18 (/3) (4 III) 



abb 



15 



16 



13 



„ 



1 2' 5 6' 



« = 3 4' 7 8' & = 1' 2 5' 6 



8 (/ 3) (4 III) 



abb 



15 



16 



14 



„ 



1 2' 5 6' 



a = 3 4' 7 8' b =3' 4:7' 8 



8 (/ 4) (4 III) 



abb 



15 



16 



15 



„ 



1 2' 5 6' 



(1 = 3' 4 7' 8 & = 1'2 5'6 



18 (/2) (4 111) 



abb 



15 



16 



16 



„ 



1 2' 5 6' 



a = 3'47'8 ö = 34'78' 



7 (/ 4) (4 III) 



ab b 



15 



16 



17 



jj 



1 4' 5 8' 



a = l'45'8 b = 2'3&7 



10/1(5111) 



abb 



15 



16 



18 



jj 



1 4' 5 8' 



«=1'45'8 ö = 23'67' 



8 (/ 2) (5 111) 



abb 



15 



16 



19 



„ 



14' 5 8' 



a = 2'36'7 5 = 1' 4 5' 8 



8 (/ 4) (5 III) 



abb 



15 



16 



20 



„ 



14' 5 8' 



a = 2'36'7 & = 23'67' 



8 (/ 3) (5 III) 



abb 



15 



16 



21 



,, 



1 4' 5 8' 



a = 2 3'67' & = 1'4 5'8 



8 (/ 4) (5 111)' 



abb 



15 



16 



22 



„ 



1 4' 5 8' 



a = 2 3'6 7' Z^ = 2'36'7 



10 ;f 3(5111) 



abb 



15 



16 



23 



„ 



1256 



a = l'2'5'6'& = 3478 



7(^1) (2.^ 111) 



abb 



15 



16 



24 



jj 



1256 



a=l' 2' 5' 6' = 3' 4' 7' 8' 



18(/1)(2(?>1II) 



abb 



15 



16 



25 



jj 



1256 



a = 3 478 b=l'2'b'6' 



18(/2)(2<pIII) 



abb 



15 



16 



26 





1 256 



o = 3 4 7 8 ?> = 3' 4' 7' 8' 



18 (/2) (29, III)' 



abb 



15 



16 



27 



„ 



1256 



a = 3' 4' 7' 8' h = 1' 2' 5' 6' 



8 (/3) (2(^111) 



abb 



15 



16 



28 



„ 



1256 



a = 3'4'7'8'& = 3478 



10/2(29^111) 



--AI 

 a 



15 



16 



29 



>' 



1256 



a 1' 2' 5' 6' 



a' ~ 3' 4' 7' 8' 



8(/2)(2<pIII)t,3- 



> 



15 



16 



30 



„ 



1256 



J = s".W> = "'« 



11/1 (2 <p 111)1,3- 



abb 



15 



16 



31 



)) 



1458 



a = 1' 4' 5' 8' & = 2 3 6 7 



io/(2(p'm) 



abb 



15 



16 



32 





1458 



a=\'4:' 5' 8' b = 2' 3' 6' 7' 



8(/l)(2<?>'III) 



abb 



15 



16 



33 



J? 



1458 



a = 2 3 67 ?^ = 1'4'5'8' 



18 (/4) (2?.' 111) 



abb 



15 



16 



34 





1458 



a = 2367 b = 2'3%'T 



18 {z2] (2g- 111) 



abb 



15 



16 



35 



jj 



1458 



a = 2'b' 6'Tb = 1' 4' 5' 8' 



18(z4)(2(?>'III)' 



abb 



15 



16 



36 



„ 



1458 



rt = 2'3'6'7'& = 2 367 



10/(29^-111)' 



?" 



15 



16 



37 



" 



1458 



a 1'4'5'8' 

 a' ■" 2' 3' 6' 7' 



8 (/l) (2 (p' 111)^2- 



« 7 7 



— bb 

 a 



15 



16 



38 



„ 



1458 



«_i;*;5;8;;,_2367 



a' 2' 3 6 7' 



ll/l(29>'lll)i,2- 



Ibc 



15 



16 



39 





11' 4 4' 



ö = 33'6 6' c = 22'7 7' 



lixDiSfUDo 



1 bc 



15 



16 



40 



jj 



1 1' 4 4' 



& = 2 2' 7 7' c = 3 3' 6 6' 



10/(3 9^111)« 



abc 



16 



16 



41 



" 



11' 4 4' 



a = 5 5'8 8' & = 33'6 6' 

 c = 2 2' 7 7' 



11/1(39^111) 



ab c 



15 



16 



42 



" 



1 1'4 4' 



a=-55'88' & = 22'77' 

 c = 3 3' 6 6' 



11/(3^111) 



abb 



15 



16 



43 



,, 



1357 



a=l'3'5'7'ö = 246 8 



7 (/l) (8 III) 



abb 



15 



16 



44 



jj 



1357 



a = 1'3'5'7'& = 2'4'6'8' 



7 (/ 3) (8 III) 



abb 



15 



16 



45 



j, 



1357 



rt = 2 468 b = l'3'b'T 



7 (/ 4) (8 III) 



abb 



15 



16 



46 



„ 



1357 



« = 2468 Z) = 2' 4' 6' 8' 



7 (/ 4) (8 111)' 



abb 



15 



16 



46 



^j 



1357 



a = 2' A'G'8'b = 1'3'5'7' 



10/8(8111) 



abb 



15 



16 



48 



)) 



1357 



rt = 2' 4' 6' 8' ö = 2 4 6 8 



10/2(8111) 



