공간 그룹 목록

숫자 지수로 주어지는 3차원의 우주 그룹은 230개, 헤르만-마우구인 표기법에는 풀네임이 있고, 짧은 이름(국제적인 짧은 기호)이 있다.긴 이름에는 가독성을 위해 공백이 주어진다.각 그룹은 단위 셀의 점 그룹을 가지고 있다.

기호

헤르만-마우구인 표기법에서 공간 그룹은 격자 유형을 설명하는 대문자와 점 그룹 식별자를 결합한 기호로 명명된다.나사 축과 글라이드 평면 형태의 격자 내 번역도 주목해 완전한 결정학적 공간군을 제공한다.

3차원의 브라바이스 격자:

P원시
I body centered (독일 이넨젠트리에르트로부터)
F 면 중심(독일 플레첸젠트리에르로부터)
A가 A 면에만 집중됨
B 면만을 중심으로 한 B
C 면 중심만
림보헤드랄

점 그룹 내의 반사면 m은 글라이드가 어느 축을 따라 가느냐에 따라 a, b 또는 c로 라벨이 붙여진 글라이드 평면으로 대체될 수 있다.또한 얼굴 대각선 반을 따라 활공하는 n글라이드와 단위 셀의 얼굴 또는 공간 대각선의 1/4을 따라 움직이는 d글라이드가 있다.d 글라이드는 다이아몬드 구조에서 특징지어 흔히 다이아몬드 글라이드 평면이라고 불린다.

$a$ ${\displaystyle a$ b $b$ 또는 $c$ ${\displaystyle c$ 이 면의 격자 벡터 절반을 따라 활공 번역
$n$ $n$ : 이 면의 대각선 반을 따라 활공 번역
$d$ $[\displaystyle d}$ : 대각선의 1/4을 따라 번역된 평면을 활공한다.
$e$ $e$ : 같은 글라이드 평면을 가진 두 개의 글라이드와 두 개의 반격자 벡터를 따라 번역.

회전각은 $\color {Black}{\tfrac {360^{\circ }}{n}}$ ${\$ 번으로 표시된 나사 축으로 교체할 수 있다 $\color {Black}{\tfrac {360^{\circ }}{n}}$ 그런 다음 병렬 격자 벡터의 일부로 번역이 축을 따라 얼마나 멀리 있는지 보여주는 첨자로 번역의 정도를 추가한다.예를 들어, 2는₁ 180°(2배) 회전한 다음 격자 벡터의 ½을 번역한 것이다.3은₁ 120°(3배) 회전 후 격자 벡터 ⅓의 번역이다.

가능한 나사 축은 2₁, 3₁, 4₂₁, 4₂₃, 6₁, 6₂, 6, 6이다₃₄₅.

쇤파리 표기법에서 우주군 기호는 해당 점군 기호로 표시되며 위첨자가 추가된다.위첨자는 우주 그룹의 대칭 원소에 대한 추가 정보를 제공하지 않지만, 그 대신 쇤파리가 우주 그룹을 도출한 순서와 관련이 있다.이는 때때로 브라바이스 격자를 지정하는 $\Gamma _{x}^{y}$ $\Gamma _{x}^{y}$ $\Gamma _{x}^{y}$ $\Gamma _{x}^{y}$ ${\$ 형식의 기호로 보충되기도 한다.여기서 $x\in \{t,m,o,q,rh,h,c\}$ x x $x\in \{t,m,o,q,rh,h,c\}$ t $x\in \{t,m,o,q,rh,h,c\}$ , $x\in \{t,m,o,q,rh,h,c\}$ , $x\in \{t,m,o,q,rh,h,c\}$ , $x\in \{t,m,o,q,rh,h,c\}$ , $x\in \{t,m,o,q,rh,h,c\}$ h $x\in \{t,m,o,q,rh,h,c\}$ , $x\in \{t,m,o,q,rh,h,c\}$ ${\displaystyle x\in \{t,m,o,q,r,$ $y\in \{\emptyset ,b,v,f\}$ $,c\}}}}}$ 는 $x\in \{t,m,o,q,rh,h,c\}$ 격자계통이고 y $y\in \{\emptyset ,b,v,f\}$ { $y\in \{\emptyset ,b,v,f\}$ $f}{\emptysset,v,f\}}$ 는 중심계통형이다 $y\in \{\emptyset ,b,v,f\}$ .^[1]

Fedorov 기호에서 우주군 유형은 s(동형체 ), h(히미형체), a(아시형체)로 표시된다.이 숫자는 페도로프가 우주 그룹을 파생시킨 순서와 관련이 있다.73개의 symmorphic, 54개의 hemisymmorphic, 103개의 점증하지 않는 우주군이 있다.

점형체

73 symmorphic 우주 그룹은 Bravais 격자와 해당 지점 그룹의 조합으로 얻을 수 있다.These groups contain the same symmetry elements as the corresponding point groups, for example, the space groups P4/mmm ( $P{\tfrac {4}{m}}{\tfrac {2}{m}}{\tfrac {2}{m}}$ , 36s) and I4/mmm ( $I{\tfrac {4}{m}}{\tfrac {2}{m}}{\tfrac {2}{m}}$ , 37s).

헤미지모르픽

54개의 혈류형 공간 그룹은 해당 점 그룹에서 대칭 요소의 축 결합만 포함한다.Hemisymmorphic space groups contain the axial combination 422, which are P4/mcc ( $P{\tfrac {4}{m}}{\tfrac {2}{c}}{\tfrac {2}{c}}$ , 35h), P4/nbm ( $P{\tfrac {4}{n}}{\tfrac {2}{b}}{\tfrac {2}{m}}$ , 36h), P4/nnc ( $P{\tfrac {4}{n}}{\tfrac {2}{n}}{\tfrac {2}{c}}$ $P{\tfrac {4}{n}}{\tfrac {2}{n}}{\tfrac {2}{c}}$ , 37h), and I4/mcm ( $I{\tfrac {4}{m}}{\tfrac {2}{c}}{\tfrac {2}{m}}$ , 38h).

점성형

나머지 103개의 공간 그룹은 예를 들어 점 그룹 4/mmm ( ${\tfrac {4}{m}}{\tfrac {2}{m}}{\tfrac {2}{m}}$ ${\tfrac {4}{m}}{\tfrac {2}{m}}{\tfrac {2}{m}}$ ${\tfrac {4}{m}}{\tfrac {2}{m}}{\tfrac {2}{m}}$ ${\tfrac {4}{m}}{\tfrac {2}{m}}{\tfrac {2}{m}}$ ${\$ {2 $}{\tfrac$ { $2}}}}})$ 에서 파생된 것과 같이 점 그룹 4/mmm에서 파생된 점형이다. ${\tfrac {4}{m}}{\tfrac {2}{m}}{\tfrac {2}{m}}$

삼위일체 목록

삼위일체 브라바이스 격자

삼색결정계
숫자	점군	오비폴드	단축명	풀네임	쇤파리	페도로프	슈브니코프	피브리폴드
1	1	$1$	P1	P 1	$\Gamma _{t}C_{1}^{1}:{1}:{1$	1s	${\displaystyle(a/b/c)\cdot 1}$	$(\displaystyle (\displaystyle$
2	1	$\displaystyle \reason }$	P1	P 1	$\감마_{t}C_{i}^{1}:{1$	2s	${\displaystyle(a/b/c)\cdot {\tilde{2}}:}$	$(\displaystyle (2222)}$

단음이의 목록

단색 브라바이스 격자

단순(P)	기준(C)

단결정계
숫자	점군	오비폴드	단축명	전체 이름		쇤파리	페도로프	슈브니코프	피브리폴드(기본)	피브리폴드(2차)
3	2	$(\displaystyle 22)$	P2	P 1 2 1	P 1 1 2	$\Gamma_{m}C_{2}^{1}:{1$	3s	${\displaystyle(b:(c/a)):2}$	${\displaystyle(2_{0}2_{0}2_{0}}}}$	${\displaystyle({}_{0}{}_{0}}})$
4			P2₁	P 1 2₁ 1	P 1 1 2₁	$\Gamma_{m}C_{2}^{2}$	1a	${\displaystyle(b:(c/a)):2_{1}$	$(2_{1}2_{1}2_{1}{1}}$	${\displaystyle({\bar{\bar{\bar {\bar}}}})}$
5			C2	C 1 2 1	B 1 1 2	$\감마 _{m}^{b}C_{2}^{3}}}$	4s	$\left({\tfrac {a+b}{2}}/b:(c/a)\오른쪽):2$	$(2_{0}2_{0}2_{1}{1}}$	$({}_{1}{}_{1})$ 1 $({}_{1}{}_{1})$ 1 ) $({}_{1}{}_{1})$ {\ $displaystyle({}_{1}{}_{$ 1 $({}_{1}{}_{1})$ $({}{\bar {\times }})$ ( × $({}{\bar {\times }})$ $({}{\bar {\times }})$ $({}{\bar {\times }})$ ¯) ${\displaystyle({*}{\bar {\times }}}}}}}})}$
6	m	$*$	PM	P 1m 1	P 1 1m	$\감마_{m}C_{s}^{1}:{1$	5s	${\displaystyle(b:(c/a)\cdot m}$	$[\display _{0}}$	${\displaystyle({}{\cdot }{}{\cdot }}}}$
7			pc	P 1 c 1	P 1 b	$\감마_{m}C_{s}^{2}$	1시간	${\displaystyle(b:(c/a)\cdot {\tilde{c}}}$	${\displaystyle({\bar {\reason }_{0})}$	${\displaystyle({}{:$ $}{}{:}}$ , $({\times }{\times }_{0})$ ( $({\times }{\times }_{0})$ $({\times }{\times }_{0})$ $({\times }{\times }_{0})$ ) ${\displaystyle({\$ displaystyle({\ $display }{\pair$ } $_{0}}}}}})$
8			CM	C 1m 1	B 1 1m	$\감마_{m}^{b}C_{s}^{3}}}$	6s	$\왼쪽 \tfrac {a+b}{2}}/b:(c/a)\오른쪽)\cdot m$	$[\display_{1}]$	$({}{\cdot }{}{:})$ $({}{\cdot }{}{:})$ $({}{\cdot }{}{:})$ : $({}{\cdot }{}{:})$ ) ${\displaystyle({}{\cdot$ }{}{:}}}, $({}{\cdot }{\times })$ ( $({}{\cdot }{\times })$ ⋅ $×$ ) {\ $displaystyle({*}{\$ cdot $}{\cdot }}}}}}}}$
9			참조	C 1 c 1	B 1 1 b	$\감마_{m}^{b}C_{s}^{4}}}$	2시간	$\왼쪽 \tfrac {a+b}{2}}/b:(c/a)\오른쪽)\cdot {\tilde{c}$	${\displaystyle({\bar {\reason }_{1}})$	${\displaystyle({*}{:$ $}{\property },$ $({\times }{\times }_{1})$ ( $({\times }{\times }_{1})$ × $({\times }{\times }_{1})$ × $({\times }{\times }_{1})$ ) ${\displaystyle({\patch }{\property }_{1}}}$
10	2/m	$2*}$	P2/m	P 1 2/m 1	P 1 1 2/m	$\감마_{m}C_{2h}^{1}:{1$	7s	${\displaystyle(b:(c/a)\cdot m:2}$	$[2_{0}2_{0}2_{0}}}$	$[*2{\cdot }22{\cdot }2})$
11			P2₁/m	P 1 2₁/m 1	P 1 1 2₁/m	$\감마_{m}C_{2h}^{2}$	2a	${\displaystyle(b:(c/a)\cdot m:2_{1}$	$[2_{1}2}_{1}2_{1}{1}}$	${\displaystyle(22{*}{\cdot }}}$
12			C2/m	C 1 2/m 1	B 1 1 2/m	$\감마_{m}^{b}C_{2h}^{3}}}$	8s	$\왼쪽 \tfrac {a+b}{2}}/b:(c/a)\오른쪽)\cdot m:2$	$[2_{0}2_{0}2_{1}{1}}$	$(2{\cdot }22{:}2)$ $(2{\cdot }22{:}2)$ $(2{\cdot }22{:}2)$ $(2{\cdot }22{:}2)$ : $(2{\cdot }22{:}2)$ ) ${\displaystyle (2{\cdot }22{:}2$ $(2{\bar {}}2{\cdot }2)$ ( $(2{\bar {}}2{\cdot }2)$ $(2{\bar {}}2{\cdot }2)$ ¯ 2 $(2{\bar {}}2{\cdot }2)$ 2 $(2{\bar {}}2{\cdot }2)$ ) {\ $displaystyle (2{\bar {{2$ }}{\ $cdot }2)}}}$
13			P2/c	P 1 2/c 1	P 1 1 2/b	$\감마_{m}C_{2h}^{4}}$	3시간	${\displaystyle(b:(c/a)\cdot {\tilde{c}:2}}$	${\displaystyle(2_{0}2_{0}22)}$	$(2{:}22{:}2)$ $(2{:}22{:}2)$ : $(2{:}22{:}2)$ : $(2{:}22{:}2)$ ) ${\displaystyle (2{:}22{:}}}}},$ $(22{}_{0})$ ( $(22{}_{0})$ $(22{}_{0})$ 0 $(22{}_{0})$ ) $(22{}_{0}})}$
14			P2₁/c	P 1 2₁/c 1	P 1 1 2₁/b	$\감마_{m}C_{2h}^{5}}$	3a	${\displaystyle(b:(c/a))\cdot {\tilde{c}:2}}:{1}$	${\displaystyle(2_{1}2_{1}22)}$	$(22{}{:})$ $(22{}{:})$ : $(22{}{:})$ ) ${\displaystyle (22{}{:}}},$ $(22{\times })$ ( $(22{\times })$ $(22{\times })$ ) ${\displaystyle (22{\display }}})$
15			C2/c	C 1 2/C 1	B 1 1 2/b	$\감마_{m}^{b}C_{2h}^{6}}}$	4시간	$\왼쪽 \tfrac {a+b}{2}}/b:(c/a)\오른쪽)\cdot {\tilde{c}:2}$	${\displaystyle(2_{0}2_{1}22)}$	$(2{\bar {}}2{:}2)$ ∗ ∗ $(2{\bar {}}2{:}2)$ 2 : 2 $(2{\bar {}}2{:}2)$ ) ${\displaystyle(2{\bar {2}}:}2$ $(22{}_{1})$ ( $(22{}_{1})$ $(22{}_{1})$ $(22{}_{1})$ ) ${\displaystyle(22{*}_{1}}}}$

정형외과 목록

오르토롬빅 브라바이스 격자

단순(P)	신체(I)	면(F)	기준(A 또는 C)

오르토롬브 크리스털 시스템
숫자	점군	오비폴드	단축명	풀네임	쇤파리	페도로프	슈브니코프	피브리폴드(기본)	피브리폴드(2차)
16	222	$(\displaystyle 222}$	P222	P2 2 2	$\Gamma _{o}D_{2}^{1}:{1$	9s	${\displaystyle(c:a:b):2:2}$	$(*2_{0}2_{0}2_{0}}$
17			P222₁	P2₁ 2 2	$\Gamma_{o}D_{2}^{2}$	4a	${\displaystyle(c:a:b):2_{1}:2}$	${\displaystyle(*2_{1}2_{1}{1}2_{1}{1}}}$	${\displaystyle(2_{0}2_{0}{*}})$
18			P2₁2₁2	P2₁ 2 2₁	$\Gamma_{o}D_{2}^{3}}$	7a	${\displaystyle(c:a:b):2}$ $2_{1}:{1$	${\displaystyle(2_{0}2_{0}{\bar {\bar {\reason }})}$	${\displaystyle(2_{1}2_{1}{*}})$
19			P2₁2₁2₁	P2₁₁ 2 2₁	$\Gamma_{o}D_{2}^{4}}$	8a	${\displaystyle(c:a:b):2_{1}$ $2_{1}:{1$	${\displaystyle(2_{1}2_{1}{1}{\bar{\bar{\reason }}}$
20			C222₁	C 2 2 2₁	$\Gamma _{o}^{b}D_{2}^{5}}$	5a	$\left\tfrac {a+b}{2}}}:c:a:b\right):2_{1}:2$	$(2_{1}{*}2_{1}{1}}$	${\displaystyle(2_{0}2_{1}{*}})$
21			C222	C 2 2 2	$\감마 _{o}^{b}D_{2}^{6}}}$	10년대	$\left\tfrac {a+b}{2}}}:c:a:b\right):2:2}$	${\displaystyle(2_{0}{*}2_{0}_{0}}}}$	${\displaystyle(*2_{0}2}_{0}2_{1}{1}}}$
22			F222	F 2 2 2	$\Gamma _{o}^{f}D_{2}^{7}}$	12년대	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:c:a:b\right):2:2}$	${\displaystyle(*2_{0}2_{1}{1}2_{0}2_{1}}}$
23			I222	I 2 2	$\Gamma _{o}^{v}D_{2}^{8}}$	11년대	$\left\tfrac {a+b+c}{2}}/c:a:b\right):2:2$	${\displaystyle(2_{1}{*}2_{0}2_{0}}}}$
24			I2₁2₁2₁	I₁₁₁ 2 2	$\Gamma _{o}^{v}D_{2}^{9}}$	6a	$\left({\tfrac {a+b+c}{2}}/c:a:b\오른쪽):2:2_{1$	${\displaystyle(2_{0}{*}2_{1}{1}}}$
25	mm2	$*22$	Pmm2	P m m 2	$\Gamma_{o}C_{2v}^{1$	13년대	${\displaystyle(c:a:b):m\cdot 2}$	${\displaystyle(*\cdot }2{\cdot }2{\cdot }2{\cdot }2)}$	$[{}_{0}{\cdot }{_{0}{\cdot }}}$
26			Pmc2₁	P m c 2₁	$\Gamma_{o}C_{2v}^{2}$	9a	${\displaystyle(c:a:b):{\tilde{c}\cdot 2_{1}}$	${\displaystyle(*{\cdot }2}{:}2}{\cdot }2})}$	$({\displaystyle({\bar{}{\cdot{}}}}),$ [ × $[{\times _{0}}{\times _{0}}]$ $({\bar {}}{\cdot }{\bar {}}{\cdot })$ × 0 $[{\times _{0}}{\times _{0}}]$ ${\$ displaystyle [{\ $message _{0}{0}}}}}}}$
27			pc2	P c c 2	$\Gamma _{o}C_{2v}^{3}}}$	5시간	${\displaystyle(c:a:b):{\tilde{c}\cdot 2}$	${\displaystyle(*{:}2{:}2}{:}2)}$	${\displaystyle({\bar {{}_{0}{\bar {}}{0}}})$
28			P m a 2	P m a 2	$\Gamma _{o}C_{2v}^{4}}}$	6시간	${\displaystyle(c:a:b):{\tilde{a}\cdot 2}$	${\displaystyle(2_{0}2_{0}{*}{\cdot }}}$	${\displaystyle [{}_{0}}{:$ $}}{}_{0}{:}]}$ , ( $({\cdot }{}_{0})$ ⋅ $({\cdot }{}_{0})$ 0 $({\cdot }{}_{0})$ 0 $({\cdot }{}_{0})$ ) ${\displaystyle(\cdot }{}_{0}}}}}}}}}$
29			피카2₁	P c a 2₁	$\Gamma _{o}C_{2v}^{5}}$	11a	${\displaystyle(c:a:b):{\tilde{a}\cdot 2_{1}}$	${\displaystyle(2_{1}2_{1}{1}{*}{:}}}}$	${\displaystyle({\bar{}}}}{:}}{\bar {}}{:}}$
30			Pnc2	Pn c 2	$\감마_{o}C_{2v}^{6}}$	7시간	${\displaystyle(c:a:b):{\tilde{c}\odot 2}$	${\displaystyle(2_{0}2_{0}{*}{:}}}}$	$({\bar {}}_{1}{\bar {}}_{1})$ 1 $({\bar {}}_{1}{\bar {}}_{1})$ 1 1 $({\bar {}}_{1}{\bar {}}_{1})$ 1 ) ${\displaystyle({\bar {_{1}{\bar {}}{1$ $({}_{0}{\times }_{0})$ ( $({}_{0}{\times }_{0})$ 0 $({}_{0}{\times }_{0})$ × $({}_{0}{\times }_{0})$ ) $({}_{0}{\times }_{0})$ {\ $displaystyle({}_{0}{\put }}}}}}}}}}}{0}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}?$
31			Pmn2₁	P m n 2₁	$\Gamma _{o}C_{2v}^{7}}$	10a	${\displaystyle(c:a:b):{\widetilde{ac}\cdot 2_{1}}$	${\displaystyle(2_{1}2_{1}{1}{*}{\cdot }}}$	$(∗$ $({\cdot }{\bar {\times }})$ × $({\cdot }{\bar {\times }})$ × × × × × × × × × × × × $}{\cdot }{\$ $[{\times }_{0}{\times }_{1}]$ \ $}}}}}},$ [ $[{\times }_{0}{\times }_{1}]$ $[{\times }_{0}{\times }_{1}]$ ${\displaystystyle [{\\ times }_{1}]}}}}$
32			Pba2	P b a 2	$\Gamma _{o}C_{2v}^{8}}$	9시	${\displaystyle(c:a:b):{\tilde{a}\odot 2}$	${\displaystyle(2_{0}2_{0}{\property }_{0}}}}$	${\displaystyle({:}{}_{0})}$
33			Pna2₁	Pn₁ a 2	$\Gamma _{o}C_{2v}^{9}}$	12a	${\displaystyle(c:a:b):{\tilde{a}\odot 2_{1}}$	${\displaystyle(2_{1}2_{1}{1}{\property }}}$	${\displaystyle(*{:$ $}{\property },$ $({\times }{\times }_{1})$ ( $({\times }{\times }_{1})$ × $({\times }{\times }_{1})$ × $({\times }{\times }_{1})$ ) ${\displaystyle({\patch }{\property }_{1}}}$
34			Pnn2	Pn n 2	$\Gamma _{o}C_{2v}^{10}}$	8시간	${\displaystyle(c:a:b):{\widetilde {ac}\odot 2}$	${\displaystyle(2_{0}2_{0}{\properties }_{1}}}$	${\displaystyle(*_{0}{\property }_{1}})$
35			Cmm2	C m m 2	$\감마 _{o}^{b}C_{2v}^{11}}$	14년대	$\left\tfrac {a+b}{2}}}:c:a:b\오른쪽:m\cdot 2$	${\displaystyle(2_{0}{*}{\cdot }2{\cdot }2)}$	$[_{0}{\cdot }{}{0}{:}}}$
36			Cmc2₁	C m c 2₁	$\감마 _{o}^{b}C_{2v}^{12}}$	13a	$\left\tfrac {a+b}{2}}}:c:a:b\오른쪽):{\tilde{c}\cdot 2_{1}$	${\displaystyle(2_{1}{*}{\cdot }2{:}2)}$	$(∗∗$ $({\bar {}}{\cdot }{\bar {}}{:})$ ¯ ¯ $({\bar {}}{\cdot }{\bar {}}{:})$ ¯ ¯ : $({\bar {}}{\cdot }{\bar {}}{:})$ : $:$ :: ) {\bar ${\cdot }{\bar{*}}},$ $[{\times }_{1}{\times }_{1}]$ [ $[{\times }_{1}{\times }_{1}]$ × $[{\times }_{1}{\times }_{1}]$ × $[{\times }_{1}{\times }_{1}]$ $[{\times }_{1}{\times }_{1}]$ {\ $displaysty [{\property }_{1}{\put }_{1}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$
37			Ccc2	C c 2	$\감마_{o}^{b}C_{2v}^{13}}}$	10시간	$\left\tfrac {a+b}{2}}}:c:a:b\오른쪽):{\tilde{c}\cdot 2$	$(2_{0}{*}{:}{:2})$	${\displaystyle({\bar {{}_{0}{\bar {}_{1}})$
38			암m2	A m m 2	$\감마 _{o}^{b}C_{2v}^{14}}$	15년대	$\왼쪽 \tfrac {b+c}{2}}/c:a:b\오른쪽):m\cdot 2$	${\displaystyle(*\cdot }2{\cdot }2{\cdot }{}2})}$	$[{}_{1}{\cdot }{}_{1}{\cdot }]$ $[{}_{1}{\cdot }{}_{1}{\cdot }]$ $[{}_{1}{\cdot }{}_{1}{\cdot }]$ ] $[{}_{1}{\cdot }{}_{1}{\cdot }]$ ] $[{}_{1}{\cdot }{}_{1}{\cdot }]$ ${\displaystyle [{}_{1}{\cdot }{_$ {1 $}{\cdot }}}},$ [ $[{\cdot }{\times }_{0}]$ , $[{\cdot }{\times }_{0}]$ $[{\cdot }{\times }_{0}]$ $[{\cdot }{\times }_{0}]$ $[{\cdot }{\times }_{0}]$ ${\displaystystyle [{\cdot$ }}{\ $cdot$ } $_{0}}}}]}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$
39			애엠2	A b m 2	$\감마_{o}^{b}C_{2v}^{15}}$	11시	$\왼쪽 \tfrac {b+c}{2}}/c:a:b\오른쪽):m\cdot 2_{1}:{1$	${\displaystyle(*{\cdot }2{:}2{:}2{:}2)}$	${\displaystyle [{}_{1}}{:$ $}{}_{1}{:}]},$ ( $({\bar {}}{\cdot }{\bar {}}_{0})$ $({\bar {}}{\cdot }{\bar {}}_{0})$ $({\bar {}}{\cdot }{\bar {}}_{0})$ 0 $({\bar {}}{\cdot }{\bar {}}_{0})$ 0 0 0 $({\bar {}}{\cdot }{\bar {}}_{0})$ 0 ) {\ $displaystyle({\bar{}}{\cdot }{\bar{}}}}}}}}}$
40			아마2	A m a 2	$\감마 _{o}^{b}C_{2v}^{16}}$	12시	$\왼쪽 \tfrac {b+c}{2}}/c:a:b\오른쪽):{\tilde{a}\cdot 2$	${\displaystyle(2_{0}2_{1}{*}{\cdot }}}$	$({\cdot }{}_{1})$ $({\cdot }{}_{1})$ $({\cdot }{}_{1})$ $({\cdot }{}_{1})$ 1 $({\cdot }{}_{1})$ ) ${\displaystyle ({\cdot }{}_{1}},$ $[{:}{\times }_{1}]$ [ $[{:}{\times }_{1}]$ : $[{:}{\times }_{1}]$ $[{:}{\times }_{1}]$ $[{:}{\times }_{1}]$ ${\displaystyle [:$ $}}{\reason }_{1}]}$
41			Aea2	A b a 2	$displaystyle \desplaysty \com _{o}^{b}C_{2v}^{17}}}}}}}}}}}}$	13시간	$\property \tfrac {b+c}{2}}/c:a:b\properties):1}:{tilde{a}\cdot 2_{1}$	$}{1}{1}{1displaystyle(2_{0}2_{1}{1}{*}}{}}}{}}}{}}:}}}}$	${\displaystyle({:$ $}{}_{1}},$ $({\bar {}}{:}{\bar {}}_{1})$ ( $({\bar {}}{:}{\bar {}}_{1})$ $({\bar {}}{:}{\bar {}}_{1})$ 1 $({\bar {}}{:}{\bar {}}_{1})$ 1 ) ${\displaystyle({\bar{}}}{:$ $}}{\bar {}_{1}}$
42			Fmm2	m m m 2	$displaystyle \cH_{f}C_{2v}^{18}}}}}}}}$	17년대	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2} {{}}:c:a:b\b\m\cdot 2$	$displaystyled{\ }2{\cdot }}}}$	$displaystyle [{*}_{1}{\cdot }{1}{1}{1}:}}}$
43				F dd2	$displaystyle \cH_{f}C_{2v}^{19}}}}}}}$	16시	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:c:a:b\오른쪽):}:{2}\}\2}{\tfrac {1}:{1}:{1}:{2}}: {\widetilde {ac}\od 2$	$}{1 }}{\displaystyle(2_{0}2}_{1}{1}{\property }}}}}}}}}$	$displaystyled*}_{1}{\property }}}})$
44				나는 m m 2	$displaystyle \ma_{o}^{o}^{v}C_{2v}^{20}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$	16년대	$2}{\displaystyle \tfrac \a+c}{2}}/c:b\cdot 2}$	$}displaystyle(2_{1}{*}{\cdot }}}}}}}$	${1displaystyle [*{\cdot }}}}}}}}$
45			이바2	I b a 2	$displaystyle \desplaysty \chma _{o}^{v}C_{2v}^{21}}}}}}}$	15시간	$\property \tfrac {a+b+c}{2}}/c:a:b\properties): 2}{\tilde{c}\cdot 2$	$displaystyle (2_{1}{*}{:}{:}}{:}{:2})}$	${\displaystyled\bar{}}}}{:}}}}{\bar {}_{0}}}}}}}$
46			이마2	나는 a 2이다.	$displaystyle \flo_{o}^{v}C_{2v}^{22}}}}}}}}}}}}{22}}}}}}}}}}}}}}}}}}}$	14시간	$\property \tfrac {a+b+c}{2}}/c:a:b\properties): 2}{\tilde{a}\cdot 2$	$displaystyle(2_{0}{*}{\cdot }{{}2)}}}$	$({\bar {}}{\cdot }{\bar {}}_{1})$ 1 1 1 $({\bar {}}{\cdot }{\bar {}}_{1})$ 1 1 1 $({\bar {}}{\cdot }{\bar {}}_{1})$ 1 1 1 $({\bar {}}{\cdot }{\bar {}}_{1})$ 1 1 1 $({{\bar{}{\cdot }{\bar{}}}},$ $[{:}{\times }_{0}]$ : $[{:}{\times }_{0}]$ $[{:}{\times }_{0}]$ $[{:}{\times }_{0}]$ ${\displaystyle [*{:}:$ $}}{\reason }_{0}]}$
47	$displaystyle {\tfrac {2}{m}{\tfrac {2}{\tfrac {2}{m}}}}}}{\tfrac {m}}}}}:{m}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$	$}{\displaystyle *valid$	Pmmm	2/m 2/m 2/m 2/m 2/m 2/m	$}:{1displaystyle \Gamma_{o}D_{2h}^{1}$	18년대	$\left(c:a:b\right)\cdot m:2\cdot m$	$}2}{\ }}{\cdot cdot }}}}}}}}}{\cdot }}}}}}}}}}}}}}}}\displaystystyleannowstypecidestytytyleasestypecidestyprot$
48				2/n 2/n 2/n 2/n 2/n 2/n	$displaystyle \Gamma_{o}D_{2h}^{2}}:$	19시간	$)\displaystyle \eft(c:a:b\right)}{\displaystystyle \cd}}$	$displaystyle (2{\bar {{*}}}_{0}}}}}}}}}}}}{0}}}}}}}}}{0}}}}}}}}}}}}}}$
49				P 2/c 2/c 2/m	$displaystyle \flo_{o}D_{2h}^{3}}}}}}}$	17시간	$right mdisplaystyle \left(c:a:b\right)\cdot m:2\cdot {\tilde{c}}}$	$displaystyle [*:}2}{:}2}{:}2}{:}2}$	$displaystyle2_{0}2_{0}2{\cdot }}}}}}$
50				P 2/b 2/a 2/n	$displaystyle \flo_{o}D_{2h}^{4}}}}}}$	18시간	$)\{\ {displaystyle \reft(c:a:b\right)\ditte {a}}$	$displaystyle (2{\bar{*}_{0}}}}}}}}}}}{0}}}}}}}}}}}}$	${\displaystyled2_{0}2_{0}2}{0}2}{0}{:}2}})}}$
51			펨마	P 2₁/m 2/m 2/a	$5}}{\displaystyle \Gamma _{o}D_{2h}^{5}}}}}}$	14a	$cdot m}{\displaysty \left(c:a:b\right)\cdodte {a:2\cdot m}$	$displaystyle [2_{0}_{0}{*}{\cdot }}}}}}}}$	$[{\cdot }2{:}2{\cdot }2{:}2]$ ∗ $[{\cdot }2{:}2{\cdot }2{:}2]$ $[{\cdot }2{:}2{\cdot }2{:}2]$ : $[{\cdot }2{:}2{\cdot }2{:}2]$ ⋅ $[{\cdot }2{:}2{\cdot }2{:}2]$ : $[{\cdot }2{:}2{\cdot }2{:}2]$ $[{\cdot }2{:}2{\cdot }2{:}2]$ ${\displaystyle [{\cdot }2:}{:}2{\cdot }}{{\$ cdot $[{\cdot }2{:}2{\cdot }2{:}2]$ [ $[2{\cdot }2{\cdot }2{\cdot }2]$ 2 $[2{\cdot }2{\cdot }2{\cdot }2]$ 2 $[2{\cdot }2{\cdot }2{\cdot }2]$ 2 $[2{\cdot }2{\cdot }2{\cdot }2]$ 2 $]$ {\ $displaystystyle [2{\cdot }{\cdot }{\cdot }}}}}}}}}}}}}}}}$
52				P 2/n 2₁/n 2/a	$6}}{\displaystyle \ma_{o}D_{2h}^{6}}}}}}}$	17a	$)\:2 {ac}{\displaysty}{\displaystyle \cd}{a:a:b\right$	$displaystyle(2_{0}2}{\bar {*}_{1}}}}}}}}{1}}}}}}{1}}}}}}}}}}$	$(2_{0}{}2{:}2)$ $(2_{0}{}2{:}2)$ $(2_{0}{}2{:}2)$ $(2_{0}{}2{:}2)$ : 2 $(2_{0}{}2{:}2)$ ) ${\displaystyle (2_{0}{}{2:}2$ $(2{\bar {}}2_{1}2_{1})$ ( $(2{\bar {}}2_{1}2_{1})$ ∗ ¯ 2 $(2{\bar {}}2_{1}2_{1})$ 2 2 2 $(2{\bar {}}2_{1}2_{1})$ $(2{\bar {}}2_{1}2_{1})$ $(2{\bar {}}2_{1}2_{1})$ 1 $(2{\bar {}}2_{1}2_{1})$ 1 $(2{\bar {}}2_{1}2_{1})$ 1 ) {\ $displaystyle ($ 2{\bar $}}{2}}_{1}2_{1}}}}}}}}}}}}}}}}}}$
53			Pmna	P 2/m 2/n 2₁/a	$7}}{\displaystyle \Gamma _{o}D_{2h}^{7}}}}}}$	15a	${1}\displaystyle \reft(c:a:b\lig)\cdot {a:2}}}}$	$}{0}{00}}{0}{0}{0}}}}{0}}}}}$	$(2_{1}2_{1}2{\cdot }2)$ $(2_{1}2_{1}2{\cdot }2)$ $(2_{1}2_{1}2{\cdot }2)$ $(2_{1}2_{1}2{\cdot }2)$ $(2_{1}2_{1}2{\cdot }2)$ $(2_{1}2_{1}2{\cdot }2)$ $(2_{1}2_{1}2{\cdot }2)$ 2 $(2_{1}2_{1}2{\cdot }2)$ ) ${\displaystyle (2_{1}2_{$ 1} $2_{1}{\cdot }2$ $(2_{0}{}2{\cdot }2)$ ( $(2_{0}{}2{\cdot }2)$ $(2_{0}{}2{\cdot }2)$ $(2_{0}{}2{\cdot }2)$ $(2_{0}{}2{\cdot }2)$ $(2_{0}{}2{\cdot }2)$ $(2_{0}{}2{\cdot }2)$ ) ${\displaysty (2_{0}{*}{\cdot }2)}}}}}}}$
54			피카	P 2₁/c 2/c 2/a	$8}}{\displaystyle \Gamma _{o}D_{2h}^{8}}}}}}$	16a	${\ {displaystyle \left(c:a:b\right)\cdot {\tilde {a:2\c}$	$displaystyle(2_{0}2}{\bar{*}}}}{0}}}}}}}$	$(2{:}2{:}2{:}2)$ $(2{:}2{:}2{:}2)$ : $(2{:}2{:}2{:}2)$ : 2 : $(2{:}2{:}2{:}2)$ : 2 $(2{:}2{:}2{:}2)$ ) ${\displaystyle (2:}2{:}2:}}},$ $(2_{1}2_{1}2{:}2)$ ( , 2 $(2_{1}2_{1}2{:}2)$ $(2_{1}2_{1}2{:}2)$ : $(2_{1}2_{1}2{:}2)$ ) ${\displaystyle (*2_{$ 1} $2_{$ 1} $2})}$
55			Pbam	P 2₁/b 2₁/a 2/m	$displaystyle \Gamma _{o}D_{2h}^{9}}}}}$	22a	$)\\odot {adisplaystyle \left(c:a:b\right)\cdot m:2\tilde {a}$	$[2_{0}displaystyle [2_{0}_{0}}{\displaysty }_{0}]}}$	$displaystyle2{\cdot }2}{:}}}{\cdot }2}$
56				P 2₁/c 2₁/c 2/n	$displaystyle \Gamma _{o}D_{2h}^{10}}}}}}}$	27a	$)\{\ { \reft(c:a:b\light)\displaysty \c}{\displaystystystyled}$	$displaystyle (2{\bar{*}}}}}{:}}{{:}2)}$	${1displaystyle(2_{1}2}{\bar {*}_{0}}}}}}}}}}}}$
57			Pbcm	P 2/b 2₁/c 2₁/m	$displaystyle \Gamma _{o}D_{2h}^{11}}}}}}}$	23a	$)\m:displaystyle \left(c:a:b\light){\tilde}{c}}}}$	$displaystyle(2_{0}2}{\bar {*}{\cdot }}}}}}}}}}}}}$	$(2{:}2{\cdot }2{:}2)$ $(2{:}2{\cdot }2{:}2)$ : $(2{:}2{\cdot }2{:}2)$ $(2{:}2{\cdot }2{:}2)$ $(2{:}2{\cdot }2{:}2)$ : $(2{:}2{\cdot }2{:}2)$ ) ${\displaystyle (2:}2{\cdot }}{{:}2$ $[2_{1}2_{1}{}{:}]$ [ 2 $[2_{1}2_{1}{}{:}]$ $[2_{1}2_{1}{}{:}]$ $[2_{1}2_{1}{}{:}]$ $[2_{1}2_{1}{}{:}]$ : $[2_{1}2_{1}{}{:}]$ ${\displaystyle [2_{$ 1} $2_{1}}{}}}}}}}}}$
58			Pnnm	P 2₁/n 2₁/n 2/n 2/m	$displaystyle \Gamma _{o}D_{2h}^{12}}}}}}$	25a	$)\\odot {acdisplaystyle \left(c:a:b\right)\cdot m:2\widetild {ac}}$	$1}{\displaystyle [2_{0}_{0}}{0}{\displaysty }_{1}]}}$	$displaystyle(2_{1}{*2}{\cdot }2)}$
59			Pmmn	P 2₁/m 2₁/m 2/n	$displaystyle \do_{o}D_{2h}^{13}}}}}}}$	24a	$m}{\displaystyle \left(c:a:b\right)\ditte {ab:2\cdot m}$	$displaystyle(2{\bar{*}}}{\cdot }2)}}$	$}{1}{1displaystyle [2_{1}2_{1}{1}{*}{\cdot }}}}}}}}$
60			Pbcn	P 2₁/b 2/c 2₁/n	$displaystyle \Gamma _{o}D_{2h}^{14}}}}}}}$	26a	$}{c}{\displaystyle \refte}}}}$	$displaystyle(2_{0}2}{\bar{*}}}}}}}}}{:}})$	$(2_{1}{}2{:}2)$ $(2_{1}{}2{:}2)$ $(2_{1}{}2{:}2)$ $(2_{1}{}2{:}2)$ : 2 $(2_{1}{}2{:}2)$ ) ${\displaystyle (2_{1}{2}{:}2)},$ $(2_{1}2{\bar {}}_{1})$ ( $(2_{1}2{\bar {}}_{1})$ 1 $(2_{1}2{\bar {}}_{1})$ $(2_{1}2{\bar {}}_{1})$ ∗ $(2_{1}2{\bar {}}_{1})$ 1 $(2_{1}2{\bar {}}_{1})$ ) ${\displaystyle (2_{1}:{$ 1} $2{\bar{*}}{1}}}}}}$
61			핍카	P 2₁/b 2₁/c 2₁/a	$displaystyle \Gamma _{o}D_{2h}^{15}}}}}}$	29a	$displaystyle \reft(c:a:b\right)}{\tilde:2_{c}}$	$1}displaystyle(2_{1}2}{\bar {*}{:}}}}}}{\displaystystyle:}})$
62			Pnma	P 2₁/n 2₁/m 2₁/a	$displaystyle \Gamma _{o}D_{2h}^{16}}}}}}$	28a	$)\1}\m}{\displaystyle \left(c:a:b\right)\cdodte {a:2_{1}\odot m}$	$1}displaystyle(2_{1}2}{\bar {*}{\cdot }}}}}}}}}}$	$(2{\bar {}}{\cdot }2{:}2)$ ∗ $(2{\bar {}}{\cdot }2{:}2)$ $(2{\bar {}}{\cdot }2{:}2)$ $(2{\bar {}}{\cdot }2{:}2)$ : 2 $(2{\bar {}}{\cdot }2{:}2)$ ) ${\displaystyle (2{\bar {}{\}{\cdot }2$ $[2_{1}2_{1}{\times }]$ [ $[2_{1}2_{1}{\times }]$ 1 $[2_{1}2_{1}{\times }]$ 1 $[2_{1}2_{1}{\times }]$ 1 × $[2_{1}2_{1}{\times }]$ {\ $displaystyle$ [ $2_{1}2_{1$ }}{1 $}{\cdisplay }}}}}}}}}}}}}}}}}$
63				C 2/m 2/c 2₁/m	$displaystyle \ma _{o}^{b}D_{2h}^{17}}}}}}}}}$	18a	$\left\tfrac {a+b}{2}\cdot {\c}}:c:a:b\c}}\cdot m:2_{1}\tilde{c}}}}}}$	$}{1displaystyle [2_{0}2}_{1}{*}{\cdot }}}}}}}}}}$	$(2{\cdot }2{\cdot }2{:}2)$ $(2{\cdot }2{\cdot }2{:}2)$ $(2{\cdot }2{\cdot }2{:}2)$ $(2{\cdot }2{\cdot }2{:}2)$ $(2{\cdot }2{\cdot }2{:}2)$ : 2 $(2{\cdot }2{\cdot }2{:}2)$ ) ${\displaystyle (2{\cdot }2{\cdot }{{:}2)},$ $[2_{1}{}{\cdot }2{:}2]$ [ $[2_{1}{}{\cdot }2{:}2]$ 1 $[2_{1}{}{\cdot }2{:}2]$ ⋅ $[2_{1}{}{\cdot }2{:}2]$ $[2_{1}{}{\cdot }2{:}2]$ : 2 $[2_{1}{}{\cdot }2{:}2]$ {\ $displaystyle [2_{$ 1}{}{\ $cdot }}{:}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}?$
64				C 2/m 2/c 2₁/a	$displaystyle \ma _{o}^{b}D_{2h}^{18}}}}}}}}}$	19a	$\left\tfrac {a+b}{2}\c1}}:c:a:b\c}}}\cdot {\\tilde {c$	$1}{1}{1}{11}{1}}}{}}}}{}}}}{*}}}}}}$	$(2{\cdot }2{:}2{:}2)$ $(2{\cdot }2{:}2{:}2)$ $(2{\cdot }2{:}2{:}2)$ $(2{\cdot }2{:}2{:}2)$ : 2 $(2{\cdot }2{:}2{:}2)$ : $(2{\cdot }2{:}2{:}2)$ ) $(2{\cdot }2:{:$ $2$ ( $(2_{1}2{\cdot }2{:}2)$ $(2_{1}2{\cdot }2{:}2)$ $(2_{1}2{\cdot }2{:}2)$ 2 $(2_{1}2{\cdot }2{:}2)$ $(2_{1}2{\cdot }2{:}2)$ : 2 $(2_{1}2{\cdot }2{:}2)$ ) {\ $displaystyle$ ( $2_{1}2}{}}}}}}}}}$
65			Cmmm	2/m 2/m 2/m 2/m 2/m 2/m	$displaystyle \ma _{o}^{b}D_{2h}^{19}}}}}}}}}$	19년대	$\left\tfrac {a+b}{2 m m}}:c:a:b\cdot m}\cdot m:2\cdot m$	$[2_{0}{*}{\cdot }}}}}}}}$	$cdot }{\cdot }}{{\cdot }{:}}}}\displaystystyle [*{\cdot }{:}}}}$
66			cccm	2/mC 2/c 2/c 2/m	$displaystyle \ma_{o}^{b}D_{2h}^{20}}}}}}}}}}}}:{20}}}}}}}}}}}}}}}}}}}}$	20시간	$\left\tfrac {a+b}{2오른쪽}}:{\c}}:c:a:b\cdot{c}}\cdot m:2\cdot{c}}$	$displaystyle [2_{0}{*}}}{:}{:}}{:}}}$	$1}1}{0}2_{1}{\displaystyle2_{0}}}$
67			Cmme	C 2/m 2/m 2/e	$displaystyle \do}^{o}^{b}D_{2h}^{21}}}}}}}}}}$	21시간	$\left\tfrac {a+b}{2 m}:c:a:b\cdot m}\cdot {a:2\cdot m$	$displaystyle2_{0}2{\cdot }}}}}$	$displaystyle [*{\cdot }2}{:}2}{:}{:}{:}{:}}}{:}}}}}{:}:::::}}}{:}}}}}}$
68			씨체	2/e	$displaystyle \ma _{o}^{b}D_{2h}^{22}}}}}}}}}}$	22시간	$\left\tfrac {a+b}{2a}:{\c}}}c:a:b\cdot {\tilde {c$	${\displaystyle*2_{0}2{:}2{:}2)}$	$1}displaystyled2_{0}2_{1}{1}2}{:}2)}}$
69			Fmmm	2/m 2/m 2/m 2/m 2/m 2/m	$displaystyle \flo}^{f}D_{2h}^{23}}}}}}}}$	21년대	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}:c:a:b\cdot m$	$displaystyle [*{\cdot }2}{\cdot }}}}}}}$
70				2/d 2/d 2/d 2/d	$displaystyle \flo}^{f}D_{2h}^{24}}}}}}}}}$	24시간	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2} {}}: {\}:{2c:a:b\c}}}}}}\cdot {\tfrac{1}:{1}:{2}}:\widetildata.{1}{\widetile{ac}}}$	${22_1}}{\displaystyle (2{\bar {}2}}_{0}2}}_{1})$
71			임음	I 2/m 2/m 2/m 2/m 2/m	$displaystyle \do}^{v}D_{2h}^{25}}}}}}}}$	20년대	$m}{\displaystyle \tfrac {a+b+c}{2}}/c:b\cdot m:2\cdot m}$	$displaystyle [2_{1}{*}{\cdot }}}}}}}}$
72			이밤	2/b 2/m	$displaystyle \do}^{v}D_{2h}^{26}}}}}}}}}$	23시간	${a+b+c2}}/c:b\cdot m:2\cdot{c}}}}}}}$	$[2_{1}{*}}{:}{:}}{:}}}$	${:}2displaystyle2_{0}2{\cdot }{:2}}}}}$
73			이크카	I 2/b 2/c 2/a	$displaystyle \do}^{v}D_{2h}^{27}}}}}}}}}$	21a	${\tildedisplaysty \lt\tfrac {a+c}{2}}/c:a:b\cdot {tilde{a:}}}}}}}}}}}}}}}cdot {tildot {tildata.$	${\displaystyled2_{1}2}{:}2{:}2)}$
74			임마	I 2/m 2/m 2/a	$displaystyle \do}^{v}D_{2h}^{28}}}}}}}}$	20a	${오른쪽 {\tilde {displaysty \tfrac \tfrac {a+c}{2}}/c:b\cd}\cdot m}$	$displaystyle2_{1}2}{\cdot }}}}}$	$displaystyle [2_{0}{*}{\cdot }{}{::}}}$

4각형 의

사방형 브라바이스 격자

단순(P)	신체(I)

각결정계
숫자		오비폴드	단축명	풀네임		페도로프	슈브니코프	피브리폴드
75	4	$}(\displaystyle 44)$	P4	P 4	$}:{1displaystyle \Gamma_{q}C_{4}^{1}$	22년대	$}{\displaystyle(c:a:a):4}$	$displaystyle (4_{0}4_{0}_{0}}}}}}}}}}}}}{0}}}}}}}}}$
76			P4₁	P 4₁	$displaystyle \Gamma_{q}C_{4}^{2}}$	30a	$displaystyle(c:a:a):4_{1}$	$displaystyle (4_{1}4_{1}_{1}{1}2}_{1}:{1}:{1}}}}}}}{1}}}}}}{1}}}}}}}}$
77			P4₂	P 4₂	$displaystyle \pair_{q}C_{4}^{3}}}}}}}$	33a	$displaystyle(c:a:a):4_{2}}:$	$displaystyle (4_{2}4_{2}2_{0}}})$
78			P4₃	P 4₃	$4}}}}{\displaystyle \Gamma_{q}C_{4}^{4}}}}}}}}}}}}$	31a	$displaystyle(c:a:a):4_{3}$	$displaystyle (4_{1}4_{1}_{1}{1}2}_{1}:{1}:{1}}}}}}}{1}}}}}}{1}}}}}}}}$
79			I4	I 4	$displaystyle \Gamma _{q}^{v}C_{4}^{5}}}}}}}}}$	23년대	$}{\displaystyle \propert \tfrac {a+b+c}{2}}/c:a:a\c\c):4}$	$displaystyle (4_{2}4_{0}2}}_{1}}}}}{1}}}}{1}}}}}}}{1}$
80			I4₁	I 4₁	$displaystyle \Gamma _{q}^{v}C_{4}^{6}}}}}}}}}$	32a	$1}{displaystyle \preason \tfrac {a+b+c}{2}}/c:a:a\c}}:4_{1}$	$displaystyle (4_{3}4_{1}1}2}}:}}}}}$
81	4	$2 2\display }$	P4	P 4	$}:{1displaystyle \Gamma_{q}S_{4}^{1}$	26년대	${\displaystyle(c:a:a):tilde{4}}{\tilde{4}}}$	$displaystyle(442_{0})}$
82	4	$2 2\display }$	I4	I 4	$}^{2displaystyle \flossma_{q}^{v}S_{4}^{2}}$	27년대	$\property \tfrac {a+b+c}{2}}/c:a:a\properties):tilde{4}}{\tilde{4}}$	$displaystyle (442_{1}){\displaystyle}$
83	4/m	$(\displaystyle 4*})$	P4/m	P 4/m	$}:{1}{11}{\displaystyle \Gamma _{q}C_{4h}^{1}:{1}$	28년대	$)\4}{\displaystyle(c:a:a)\cdot m:4}$	$displaystyle [4_{0}4_{0}_{0}]}}$
84			P4₂/m	P 4₂/m	$displaystyle \Gamma_{q}C_{4h}^{2}}:$	41a	$displaystyle(c:a:a)\cdot m:4_{2}}:$	$displaystyle [4_{2}4_{2}2_{0}]}}$
85			P4/n	P 4/n	$displaystyle \Gamma_{q}C_{4h}^{3}}}}}}}}}}}}}}}}}}$	29시간	$}{\displaystyle(c:a:a)\cdot {\widetilde {ab:4}$	$displaystyle (44_{0}2})}$
86			P4₂/n	P 4₂/n	$4}}}}{\displaystyle \Gamma_{q}C_{4h}^{4}}}}}}}}}}}$	42a	$displaystyle(c:a:a)\cdot {\widetilde {ab:4_{2}}::}:}:$	$displaystyle (44_{2}2)}}$
87			I4/m	I 4/m	$displaystyle \designstyle \{q}^{v}C_{4h}^{5}}}}}}}}}$	29년대	$\tfrac {a+b+c}{2}}/c:a\cdot m:4}$	$displaystyle [4_{2}4_{0}2_{1}]}$
88			I4₁/a	I 4₁/a	$displaystyle \flossma_{q}^{v}C_{4h}^{6}}}}}}}}}}}}}}}{6}}}}}}}}}}}}}$	40a	$tilde{1}{1}{\displaystyle \tfrac {a+c}{2}}/c:a:a\cdot {\\\tilde}:{1}$	$displaystyle (44_{1}2})}$
89	422	$224$	P422	P 4 2 2	$}:{1displaystyle \Gamma_{q}D_{4}^{1}$	30년대	$}{\displaystyle(c:a:a):4:2}$	$displaystyle4_{0}_{0}}}}}}}}}{0}}}}}}}}}}}{0}}}}}$
90			P42₁2	P42₁2	$displaystyle \Gamma_{q}D_{4}^{2}}$	43a	$}{\displaystyle(c:a:a):4}$ $}:{1displaystyle 2_{1}:{1}$	$displaystyle (4_{0}{*}}}{0}}})$
91			P4₁22	P 4₁ 2 2	$displaystyle \Gamma_{q}D_{4}^{3}}}}}}}$	44a	$}{\displaystyle(c:a:a):4_{1}:2}$	$displaystyle4_{1}{1}{1}{1}1}{1}{1}2}}:$
92			P4₁2₁2	P 4₁ 2₁ 2	$4}}}}{\displaystyle \Gamma_{q}D_{4}^{4}}}}}}}}}}}}}}}}}}}}}$	48a	$displaystyle(c:a:a):4_{1}$ $}:{1displaystyle 2_{1}:{1}$	$2}displaystyle (4_{1}{*}}_{1}})$
93			P4₂22	P 4₂ 2 2	$displaystyle \Gamma_{q}D_{4}^{5}}}}}}}$	47a	$}{\displaystyle(c:a:a):4_{2}$	$displaystyle4_{2}4_{2}2_{0}}}}}}}}$
94			P4₂2₁2	P 4₂ 2₁ 2	$displaystyle \Gamma_{q}D_{4}^{6}}}}}}$	50a	$displaystyle(c:a:a):4_{2}}:$ $}:{1displaystyle 2_{1}:{1}$	$2}displaystyle (4_{2}{*}_{0}}})$
95			P4₃22	P 4₃ 2 2	$displaystyle \Gamma_{q}D_{4}^{7}}}}}}$	45a	$}{\displaystyle(c:a:a):4_{3:2}$	$displaystyle4_{1}{1}{1}{1}1}{1}{1}2}}:$
96			P4₃2₁2	P 4₃ 2₁ 2	$displaystyle \Gamma_{q}D_{4}^{8}}}}}}$	49a	$displaystyle(c:a:a):4_{3}$ $}:{1displaystyle 2_{1}:{1}$	$2}displaystyle (4_{1}{*}}_{1}})$
97			I422	4 2I 2 2	$displaystyle \do_{q}^{v}D_{4}^{9}}}}}}}}}$	31년대	$2}{\displaystyle \tfrac \tfrac {a+b+c}{2}}/c:a:a\i1}4:2}$	$displaystyle4_{2}4_{0}2}}:$
98			I4₁22	I 4₁ 2 2	$displaystyle \Gamma _{q}^{v}D_{4}^{10}}}}}}}}}$	46a	$):4displaystyle \property \tfrac {a+b+c}{2}}/c:a:a\1}$	$displaystyle4_{3}4_{1}1}2_{0}}}})$
99	4mm	$(\displaystyle$	P4mm	4m	$}:{1displaystyle \Gamma_{q}C_{4v}^{1}$	24년대	$m}{\displaystyle(c:a:a):4\cdot m}$	$displaystyled\cdot }}{}4}{\cdot }}}}}}$
100			P4bm	P 4 b m	$displaystyle \Gamma_{q}C_{4v}^{2}}:$	26시간	$displaystyle(c:a:a):4\odot {\tilde{a}}$	$displaystyle (4_{0}{*}{\cdot }}}}}}}}$
101			P4₂cm	P 4₂ c m	$displaystyle \Gamma_{q}C_{4v}^{3}}}}}}}}}}}}}}}$	37a	$displaystyle(c:a:a):4_{2}\cdot{\tilde{c}}}}$	$}displaystyled{:}4{\cdot }}}}$
102			P4₂nm	P 4n₂ m	$4}}}{\displaystyle \Gamma_{q}C_{4v}^{4}}}}}}}}}}}$	38a	$displaystyle(c:a:a):4_{2}\odot{\widetilde{ac}}}}}}}}}$	$displaystyle (4_{2}{*}{\cdot }}}}}}}$
103			P4cc	4 4 c c	$5}}{\displaystyle \Gamma_{q}C_{4v}^{5}}}}}}}}}}}}}}}}}$	25시간	$displaystyle(c:a:a):4\cdot {\tilde{c}}$	$displaystyled{:}4{:}}}}}$
104			P4nc	4n c	$6}}{\displaystyle \Gamma_{q}C_{4v}^{6}}}}}}}}}}}}}}$	27시간	$displaystyle(c:a:a):4\odot {\widetilde{ac}}}}}$	$displaystyle (4_{0}{*}{:}2)}}$
105			P4₂mc	P 4m₂ c	$displaystyle \Gamma_{q}C_{4v}^{7}}}}}$	36a	$m}{\displaystyle(c:a:a):4_{2}\cdot m}$	$displaystyled{\cdot }4{:}4{\cdot }}}}}}$
106			P4₂bc	P 4₂ b c	$8}}{\displaystyle \Gamma_{q}C_{4v}^{8}}}}}}$	39a	$displaystyle(c:a:a):4\odot {\tilde{a}}$	$displaystyle (4_{2}{*}{}}{:}}{:}}{:}$
107			I4mm	4 4 m	$displaystyle \designstyle \{q}^{v}C_{4v}^{9}}}}}}}}$	25년대	$\cdot m}{\ \tfrac \a+c}{2}}/c:a\cdot m}$	$displaystyled{\cdot }4{\cdot }{:}}}}}}}$
108			I4cm	4 c 4 m	$C_{displaystyle \flossma_{q}^{v}C_{4v}^{10}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$	28시간	$\cdotcdot {\\displaysty \tfrac{a+b+c}{2}}/c:a\cdot {\\\tilde{c}}}}$	$displaystyled{\cdot }}{:}4{:}2})}$
109			I4₁md	나는 4m₁ d	$displaystyle \Gamma _{q}^{v}C_{4v}^{11}}}}}}}}}$	34a	$1}\ m}{\displaystyle \propert \tfrac {a+b+c}{2}}/c:a\c:a\not m}$	$displaystyle (4_{1}{*}{\cdot }}}}}}}$
110			I4₁cd	I 4₁ c d	$displaystyle \Gamma _{q}^{v}C_{4v}^{12}}}}}}}}}$	35a	$1}\ {\displaysty \tfrac {a+c}{2}}/c:a:a\c}}}}}$	$2)}{\displaystyle ({1}{*}{:}}{:}}{:}2)}$
111	42m	$2{*}2$	P42m	P 4 2m	$}:{1displaystyle \Gamma_{q}D_{2d}^{1}$	32년대	${\displaystyle(c:a:a):}}:{\tilde{4:2}}$	$displaystyle4}{\cdot }42_{0}}}}}}}}}$
112			P42c	P 4 2 c	$displaystyle \Gamma_{q}D_{2d}^{2}}$	30시간	${\displaystyle(c:a:a):tilde{4}}{\tilde{4}}}$ $2$	$displaystyle4}{:}42_{0}}}}}$
113			P42₁m	P 4 2m₁	$displaystyle \Gamma_{q}D_{2d}^{3}}}}}}}}}}}}}}}}}}}$	52a	${\displaystyle(c:a:a):{\tilde {4}\cdot {\widetile {ab}}}$	$displaystyle (4{\bar{*}}{\cdot }2)}$
114			P42₁c	P 4 2₁ c	$displaystyle \Gamma_{q}D_{2d}^{4}}}}}}$	53a	${\displaystyle(c:a:a): {tilde{4}}\cdot {\widetilde { {}$	$)}{\displaystyle (4{\bar{*}}{:}2$
115			P4㎡	P 4m 2	$displaystyle \Gamma_{q}D_{2d}^{5}}}}}}$	33년대	${\displaystyle(c:a:a): m}{\tilde{4}\cdot m}$	$displaystyled\cdot }44{\cdot }}}}$
116			P4c2	P 4 c 2	$6}}{\displaystyle \Gamma_{q}D_{2d}^{6}}}}}}}}}}}}}}}}$	31시간	${\displaystyle(c:a:a):tilde{4}\c}}{\tilde{c}}}$	$displaystyled{:}}}$
117			P4b2	P 4 b 2	$displaystyle \Gamma_{q}D_{2d}^{7}}}}}$	32시간	${\displaystyle(c:a:a):tilde{4}}}\odot {\tilde{a}}$	$displaystyle (4{\bar {{*}}{0}2_{0}}}}}}}}}})$
118			P4n2	P 4n 2	$displaystyle \Gamma_{q}D_{2d}^{8}}}}}}$	33시간	${\displaystyle(c:a:a):tilde {4}\cdot {\widetilde {ac}}}$	$1}{displaystyle (4{\bar{*}_{1}{1}{0})$
119			I4m2	I 4m 2	$displaystyle \Gamma _{q}^{v}D_{2d}^{9}}}}}}}}$	35년대	$\property \tfrac {a+b+c}{2}}/c:a:a\properties): m}{\tilde{4}\cdot m$	$displaystyle4}{\cdot }42_{1}}{1}}{\displaystystyle4}}}}$
120			I4c2	I 4 c 2	$displaystyle \Gamma_{q}^{v}D_{2d}^{10}}}}}}}}}$	34시간	$\property \tfrac {a+b+c}{2}}/c:a:a\properties):tilde{4}\c}}{\tilde{c}}$	$displaystyle4}{:}42_{1}:{1})$
121			I42m	I 4 2m	$displaystyle \Gamma _{q}^{v}D_{2d}^{11}}}}}}}}}$	34년대	$\property \tfrac {a+b+c}{2}}/c:a:a\properties):}}:{\tilde{4:2}$	$displaystyled{\cdot }44{:}}}}}$
122			I42d	I 4 2 d	$displaystyle \Gamma _{q}^{v}D_{2d}^{12}}}}}}}}}$	51a	$\property \tfrac {a+b+c}{2}}/c:a:a\properties):{1}:{2}}: 4}{\tfrac {1}:{1}:{1}:{1}:{\widetile {11}}{\tfild}}}$	$displaystyle (4{\bar{*}}:{2}}_{1}})$
123	/m 2/m 2/m 2/m	${\디스플레이 스타일 *224}$	P4/mmm	4/m 2/m 2/m 2/m	$}:{1displaystyle \Gamma_{q}D_{4h}^{1}$	36년대	$m: m}{\displaystyle(c:a:a)\cdot m:4\cdot m}$	$displaystyle [*{\cdot }4{\cdot }}}}}}}}}}}$
124			P4/mcc	2/cP 4/m 2/c 2/c	$displaystyle \Gamma_{q}D_{4h}^{2}}$	35시간	$displaystyle(c:a:a)\cdot m:4\cdot {\tilde{c}}}}$	$displaystyle [*{:}4{:}4{:}}}}}}}}}$
125			P4/nbm	P 4/n 2/b 2/m	$displaystyle \Gamma_{q}D_{4h}^{3}}}}}}}}}}}}}}}}}}}$	36시간	$a)\{\ {ab {a}{\displaystylec:a:a)\cdot {\widetilde {ab:4\dode {a}$	$displaystyle4_{0}4{\cdot }}}$
126			P4/nnc	P 4/n 2/n 2/c	$4}}}}{4}}}}}}}{\displaystyle \Gamma_{q}D_{4h}^}}}}}}}}}}}}}}}$	37시간	$a)\{\ {ab {ac}}{\displaystyle(c:a:acdot {\widetilde {ab:4\dode {ac}}}$	${\displaystyle*4_{0}4{:}2)}$
127			P4/mbm	P 4/m 2₁/b 2/m	$5}}{\displaystyle \Gamma_{q}D_{4h}^{5}}}}}}}$	54a	$}{\displaystylec:a:a)\cdot m:4\odot{a}}}$	$displaystyle [4_{0}{*}{\cdot }2}}$
128			P4/mnc	P 4/m 2₁/n 2/c	$6}}{\displaystyle \floss마_{q}D_{4h}^{6}}}}}}}}$	56a	$a)\\odot {\ {acdisplaystyle(c:a:a)\cdot m:4\odot {\widetilde{}}}}}}$	$displaystyle [4_{0}{*}}{:}{:}2}}$
129			P4/nmm	P 4/n 2₁/m 2/m	$displaystyle \Gamma_{q}D_{4h}^{7}}}}}}$	55a	$a)\{\ m}{\displaystyle(c:a)\displaystyle {b:4\cdot m}$	$displaystyle4{\cdot }}}{\cdot }}}}$
130			P4/ncc	P 4/n 2₁/c 2/c	$8}}{\displaystyle \Gamma_{q}D_{4h}^{8}}}}}}}$	57a	${\ {c}{\displaystyle(c:a:a)\c}{\displaystyte {ab:4:4\cdot {c}$	$displaystyle4{:}}}}$
131			P4₂/mmc	P 4₂/m 2/m 2/c	$displaystyle \Gamma_{q}D_{4h}^{9}}}}}$	60a	${\displaystyle(c:a:a)\cdot m:4_{2}\cdot m}$	$displaystyle [*{\cdot }4}}}4{:}}}}}{:}}}}}}:}{\cdot }2}$
132			P4₂/mcm	P 4₂/m 2/c 2/m	$displaystyle \Gamma_{q}D_{4h}^{10}}}}}}}$	61a	$mc}{\displaystyle(c:a:a)}{\displaystym m:4_{2}\cdot {\tilde {c}}}}$	$displaystyle [*:}4{}4{\cdot }4:}2}$
133			P4₂/nbc	P 4₂/n 2/b 2/c	$displaystyle \Gamma_{q}D_{4h}^{11}}}}}}}$	63a	$}:displaystyle(c:adisplaystyle(c:a)\diddot {ab:4_{2}\tilde{a}}}}}$	$displaystyle4_{2}4{:}2})}$
134			P4₂/nnm	P 4₂/n 2/n 2/m	$displaystyle \Gamma_{q}D_{4h}^{12}}}}}}$	62a	$displaystyle(c:a)}{\ {ab}}}{displaystyde:4_{2}\dodetile {ac}}}}}}$	$displaystyle4_{2}4{\cdot }2}$
135			P4₂/mbc	P 4₂/m 2₁/b 2/c	$displaystyle \Gamma_{q}D_{4h}^{13}}}}}}}$	66a	$mdisplaystyle(c:a){\displaystyle(c:a)\cdot m:4_{2}\tilde {a}}}$	$displaystyle [4_{2}{*}}{:}}{:}{:}2}}$
136			P4₂/mnm	P 4₂/m 2₁/n 2/m	$displaystyle \Gamma_{q}D_{4h}^{14}}}}}}}$	65a	$mdisplaystyle(c:a:a)}{\cdot m:4_{2}\widetilde{ac}}}}}}}}}$	$displaystyle [4_{2}{*}{\cdot }2}}$
137			P4₂/nmc	P 4₂/n 2₁/m 2/c	$displaystyle \Gamma_{q}D_{4h}^{15}}}}}}$	67a	$a)\{\ {2}\m}{\displaystyle(c:a:a)\cdote {ab:4_{2}\cdot m}$	$displaystyle4{\cdot }}}$
138			P4₂/ncm	P 4₂/n 2₁/c 2/m	$displaystyle \Gamma_{q}D_{4h}^{16}}}}}}$	65a	${\ {2}\c}{\displaystyle(c:a:awidetilde {ab:4}\cdot {c}$	$displaystyle4{:}4{\cdot }2}}$
139			I4/mmm	I 4/m 2/m 2/m	$displaystyle \do_{q}^{v}D_{4h}^{17}}}}}}}}}}$	37년대	$\tfrac {2}}/오른쪽m}{\displaystyle \tfrac \a+c}{2}}/c:a\cdot m:4\cdot m}$	$displaystyle [*{\cdot }4{\cdot }4}{::}}}}$
140			I4/mcm	I 4/m 2/c 2/m	$displaystyle \do_{q}^{v}D_{4h}^{18}}}}}}}}}}$	38시간	$displaysty \tfrac {a+c}{2}}/c:a\cdot m:4\tilde{c}}}}}}}}}}}}}}}$	$displaystyle [*{\cdot }4{:}4{:}}}}}}}}}}}}$
141			I4₁/amd	I 4₁/a 2/m 2/d	$displaystyle \do_{q}^{v}D_{4h}^{19}}}}}}}}}$	59a	$1}{ \tfrac \tfrac {a+c}{2}}/c:a:a\cdot{a}}}}}}}}{a:4_{n1}\odot m}$	$displaystyle4_{1}4{\cdot }2}$
142			I4₁/acd	I 4₁/a 2/c 2/d	$20}}{\displaystyle \감ma_{q}^{v}D_{4h}^{20}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$	58a	$\왼쪽 \tfrac {a+b+c}{2}}/c:a:a\오른쪽)\cdot{a}:4_{1}\odot {\tilde{c}}$	$displaystyle4_{1}4{:}}}$

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숫자		오비폴드	단축명	풀네임		페도로프	슈브니코프	피브리폴드
143	3	$(\displaystyle 33)$	P3	P 3	$}:{11}{\displaystyle \hma_{h}C_{3}^{1}:{1}:{1}$	38년대	$}{\displaystyle(c:(a/a)):3}$	$displaystyle(3_{0}3_{0}3_{0}}}}}}}}}}}}}}:{0}}}}}}}}}}$
144			P3₁	P 3₁	$displaystyle \Gamma_{h}C_{3}^{2}}$	68a	$displaystyle(c:(a/a)):3_{1}$	$displaystyle(3_{1}3_{1}3_{1}}}}}$
145			P3₂	P 3₂	$3}}}}}{\displaystyle \Gamma_{h}C_{3}^}}}}}}}}}}$	69a	$displaystyle(c:(a/a)):3_{2}}:$	$displaystyle(3_{1}3_{1}3_{1}}}}}$
146			R3	R 3	$displaystyle \flossh_{rh}C_{3}^{4}}}}}}}$	39년대	$}{\displaystyle(a/a/a)/3}$	$displaystyle(3_{0}3_{1}3_{2}}:$
147	3	$3 3\displaystyle 3\displays$	P3	P 3	$}:{1}:{1displaystyle \flossh_{h}C_{3i}^{1}:{1}$	51년대	${\displaystyle(c:(a/a)):tilde{6}}{\tilde{6}}}$	${\displaystyle(63_{0}2)}$
148	3	$3 3\displaystyle 3\displays$	R3	R 3	$displaystyle \c_{rh}C_{3i}^{2}}:$	52년대	$displaystyle(a/a/a)/{\tilde{6}}$	$displaystyle(63_{1}2})}$
149	32	$스타일 223}{\디스플레이 223}$	P312	P 3 1 2	$}:{1}:{1displaystyle \Gamma _{H}D_{3}^{1}:{1}$	45년대	$}{\displaystyle(c:(a/a)):2:3}$	$0}3_{0}}}}}{0}}}}}}}{0}}}}}}}}}}}}}}}{0}}}}}}}}$
150			P321	P 3 2 1	$displaystyle \Gamma_{H}D_{3}^{2}}:$	44년대	$}{\displaystyle(c:(a/a)\cdot 2:3}$	$displaystyle(3_{0}{*}}}}{0}}}}}}}}}}}}}}}}}}}}}$
151			P3₁12	P 3₁ 1 2	$displaystyle \Gamma_{}}}{\displaystyleH}D_{3}^{3}}}}}}$	72a	$displaystyle(c:(a/a)):2:3_{1}$	$displaystyle3_{1}3_{1}1}:{1}}}$
152			P3₁21	P 3₁ 2 1	$displaystyle \Gamma_{H}D_{3}^{4}}}}}}}$	70a	$2displaystyle(c:(a/a)\cdot 2:3_{1}$	$displaystyle(3_{1}{*}3_{1}}}}}}}}}}$
153			P3₂12	P 3₂ 1 2	$displaystyle \Gamma_{H}D_{3}^{5}}}}}}}$	73a	$displaystyle(c:(a/a)):2:3_{2}}:$	$displaystyle3_{1}3_{1}1}:{1}}}$
154			P3₂21	P 3₂ 2 1	$3}^{displaystyle \do_{3}^{6}}}}}}}$	71a	$displaystyle(c:(a/a)\cdot 2:3_{2}}:$	$displaystyle(3_{1}{*}3_{1}}}}}}}}}}$
155			R32	R 3 2	$7}{\displaystyle \do_{rh}D_{3}^{7}}}}}}}$	46년대	$}{\displaystyle(a/a/a)/3:2}$	$displaystyle3_{0}3_{1}3_{2}})$
156	3m	$*33$	P3m1	3m 1	$}:{1}:{1}:{1displaystyle \Gamma _{h}C_{3v}^{1}:{1}$	40년대	$3}{\displaystyle(c:(a/a)):m\cdot 3}$	$displaystyled{\cdot }}}{}}}}{\cdot }}}}}}}}$
157			P31m	3 1 3 1 m	$displaystyle \Gamma_{h}C_{3v}^{2}}:$	41년대	$cdot 3}{\displaystyle(c:(a/a)\cdot m\cdot 3}$	$displaystyle(3_{0}{*}{\cdot }3)}}$
158			P3c1	P 3 c 1	$3}}}}}{\displaystyle \Gamma _{h}C_{3v}^{3}}}}}}}}}}}}}}}}}}}$	39시간	${\displaystyle(c:(a/a)):}{\tilde{c:3}$	$displaystyled{:}3{:}}}}}$
159			P31c	P 3 1 c	$4}}{\displaystyle \Gamma _{h}C_{3v}^{4}}}}}}}}}}}}}$	40시간	$}{\displaystyle(c:(a/a)\cdot {\tilde{c:3}}$	$displaystyle(3_{0}{*}{:}3)}$
160			R3m	3m	${3vdisplaystyle \pair_{rh}C_{3v}^{5}}}}}}}$	42년대	$ma/a/a)/3\cdot m}$	$displaystyle(3_{1}{*}{\cdot }3)}}$
161			R3c	R 3 c	${3vdisplaystyle \flossh_{rh}C_{3v}^{6}}}}}}}}}}}}}}}}}$	41시간	$displaystyle(a/a/a)/3\c}$	${\displaystyle(3_{1}{*}{:}3)}$
162	3 2/m	$2{*}3$	P31m	P 3 1 2/m	$}:{1displaystyle \Gamma_{H}D_{3d}^{1}$	56년대	$displaystyle(c:(a/a)\cdot m\cdot {\tilde {6}}}}$	$displaystyled{\cdot }63_{0}2)}}$
163			P31c	P 3 1 2/c	$displaystyle \Gamma_{H}D_{3d}^{2}}:$	46시간	$displaystyle(c:(a/a))\cdot {\tilde {6}}$	${\displaystyle(*{:}63_{0}2)}$
164			P3m1	P 3 2/m 1	$\Gamma_{h}D_{3d}^{3}}}}}$	55년대	${\displaystyle(c:(a/a)):m\cdot {\tilde{6}}$	${\displaystyle(*6{\cdot }3{\cdot }2})}$
165			P3c1	P 3 2/c 1	$\Gamma _{h}D_{3d}^{4}}}$	45시간	${\displaystyle(c:(a/a)):{\tilde{c}\cdot {\tilde{6}}$	${\displaystyle(*6{:}3{:}2})}$
166			R3m	R 3 2/m	$\감마_{rh}D_{3d}^{5}}$	57년대	${\displaystyle(a/a/a)/{\tilde {6}\cdot m}$	${\displaystyle(*{\cdot }63_{1}2})}$
167			R3c	R 3 2/c	$\감마_{rh}D_{3d}^{6}}}$	47시간	${\displaystyle(a/a)/{\tilde {6}\cdot {\tilde {c}}$	${\displaystyle(*{:}63_{1}2})}$

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숫자	점군	오비폴드	단축명	풀네임	쇤파리	페도로프	슈브니코프	피브리폴드
168	6	$(\displaystyle 66)$	P6	P 6	$\감마_{h}C_{6}^{1}:{1$	49년대	${\displaystyle(c:(a/a)):6}$	$(6_{0}3_{0}_{0}}}$
169			P6₁	P 6₁	$\감마_{h}C_{6}^{2}$	74a	${\displaystyle(c:(a/a)):6_{1}$	$(6_{1}3_{1}_{1}2}_{1}$
170			P6₅	P 6₅	$\Gamma_{h}C_{6}^{3}}}$	75a	${\displaystyle(c:(a/a)):6_{5}$	$(6_{1}3_{1}_{1}2}_{1}$
171			P6₂	P 6₂	$\감마_{h}C_{6}^{4}}$	76a	${\displaystyle(c:(a/a)):6_{2}}$	${\displaystyle(6_{2}3_{2}2_{0}}}$
172			P6₄	P 6₄	$\감마_{h}C_{6}^{5}}$	77a	${\displaystyle(c:(a/a)):6_{4}$	${\displaystyle(6_{2}3_{2}2_{0}}}$
173			P6₃	P 6₃	$\Gamma_{h}C_{6}^{6}}}}}$	78a	${\displaystyle(c:(a/a)):6_{3}$	$(6_{3}3_{0}2_{1}$
174	6	$디스플레이 스타일 3*}$	P6	P 6	$\감마_{h}C_{3h}^{1}:{1$	43년대	${\displaystyle(c:(a/a)):3:m}$	$[3_{0}3_{0}3_{0}]$
175	6/m	$6*$	P6/m	P 6/m	$\Gamma_{h}C_{6h}^{1$	53년대	${\displaystyle(c:(a/a)\cdot m:6}$	$[6_{0}3_{0}_{0}]$
176	6/m	$6*$	P6₃/m	P 6₃/m	$\감마_{h}C_{6h}^{2}$	81a	${\displaystyle(c:(a/a)\cdot m:6_{3}}$	$[6_{3}3_{0}2_{1}]$
177	622	$226번 화면 표시$	P622	P 6 2 2	$\감마 _{H}D_{6}^{1}:{1$	54년대	${\displaystyle(c:(a/a)\cdot 2:6}$	${\displaystyle(*6_{0}3_{0}_{0}})$
178			P6₁22	P 6₁ 2 2	$\감마 _{H}D_{6}^{2}$	82a	${\displaystyle(c:(a/a)\cdot 2:6_{1}$	${\displaystyle(*6_{1}3_{1}1}{1}2}_{1}}$
179			P6₅22	P 6₅ 2 2	$\Gamma _{h}D_{6}^{3}}}$	83a	${\displaystyle(c:(a/a)\cdot 2:6_{5}}$	${\displaystyle(*6_{1}3_{1}1}{1}2}_{1}}$
180			P6₂22	P 6₂ 2 2	$\감마 _{H}D_{6}^{4}}$	84a	${\displaystyle(c:(a/a)\cdot 2:6_{2}}$	${\displaystyle(*6_{2}3_{2}2_{0})}$
181			P6₄22	P 6₄ 2 2	$\감마 _{H}D_{6}^{5}}$	85a	${\displaystyle(c:(a/a)\cdot 2:6_{4}}$	${\displaystyle(*6_{2}3_{2}2_{0})}$
182			P6₃22	P 6₃ 2 2	$\Gamma _{h}D_{6}^{6}}}}}$	86a	${\displaystyle(c:(a/a)\cdot 2:6_{3}}$	${\displaystyle(*6_{3}3_{0}2_{1}}$
183	6mm	$*66}$	P6mm	P 6m	$\Gamma_{h}C_{6v}^{1$	50년대	${\displaystyle(c:(a/a)):m\cdot 6}$	${\displaystyle(*\cdot }6{\cdot }3{\cdot }2})}$
184			P6cc	P 6 c c	$\Gamma_{h}C_{6v}^{2}$	44시간	${\displaystyle(c:(a/a)):{\tilde{c}\cdot 6}$	${\displaystyle(*{:}6{:}3{:}2})}$
185			P6₃cm	P 6₃ c m	$\Gamma _{h}C_{6v}^{3}}}$	80a	${\displaystyle(c:(a/a)):{\tilde{c}\cdot 6_{3}}$	${\displaystyle(*{\cdot }6{:}3{:}2})}$
186			P6₃mc	P 6m₃ c	$\Gamma _{h}C_{6v}^{4}}}$	79a	${\displaystyle(c:(a/a)):m\cdot 6_{3}}$	${\displaystyle(*{:}6{\cdot }3{\cdot }2})}$
187	6㎡	$*property$	P6㎡	P 6m 2	$\Gamma _{h}D_{3h}^{1}:{1$	48년대	${\displaystyle(c:(a/a)):m\cdot 3:m}$	$[*{\cdot }3{\cdot }3{\cdot }3]$
188			P6c2	P 6 c 2	$\Gamma_{h}D_{3h}^{2}$	43시간	${\displaystyle(c:(a/a)):{\tilde{c}\cdot 3:m}$	$[*{:}3{:}3{:}3]$
189			P62m	P 6 2m	$\Gamma_{h}D_{3h}^{3}}}}}}}$	47년대	${\displaystyle(c:(a/a)\cdot m:3\cdot m}$	$[3_{0}{*}{\\cdot }3]$
190			P62c	P 6 2 c	$\Gamma _{h}D_{3h}^{4}}}$	42시간	${\displaystyle(c:(a/a))\cdot m:3\cdot {\tilde{c}}$	$[3_{0}{*}{:}3]$
191	6/m 2/m 2/m	$*226$	P6/mmm	P 6/m 2/m 2/m	$\Gamma_{h}D_{6h}^{1$	58년대	${\displaystyle(c:(a/a)\cdot m:6\cdot m}$	$[*{\cdot }6{\cdot }3{\cdot }2}$
192			P6/mcc	P 6/m 2/c 2/c	$\Gamma_{h}D_{6h}^{2}$	48시간	${\displaystyle(c:(a/a)\cdot m:6\cdot {\tilde{c}}}$	$[*{:}6{:}3{:}2}]$
193			P6₃/mcm	P 6₃/m 2/c 2/m	$\Gamma _{h}D_{6h}^{3}}}$	87a	${\displaystyle(c:(a/a))\cdot m:6_{3}\cdot {\tilde{c}}}$	$[*{\cdot }6{:}3{:}2}]$
194			P6₃/mmc	P 6₃/m 2/m 2/c	$\Gamma _{h}D_{6h}^{4}}}$	88a	${\displaystyle(c:(a/a)\cdot m:6_{3}\cdot m}$	$[*{:}6{\cdot }3{\cdot }}{\cdot }2}$

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(223) 웨이어-펠란 구조

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숫자	점군	오비폴드	단축명	풀네임	쇤파리	페도로프	슈브니코프	콘웨이	Fibrifold( $z$ 보존용z {\ $displaystyle z}$ )	Fibrifold( $x$ ${\displaystyle x$ $y$ ${\displaystyle$ y $y$ z $z$ 보존 $z$
195	23	$332$	P23	P2 3	$\감마 _{c}T^{1}:{1$	59년대	$\left(a:a:a:a\right):2/3$	$2^{\put }$	${\displaystyle(*2_{0}2_{0}2_{0}}{0}}{0}}{:}3}$	${\displaystyle(*2_{0}2_{0}2_{0}}{0}}{0}}{:}3}$
196			F23	F 2 3	$\감마 _{c}^{f}T^{2}$	61년대	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a\오른쪽:2/3$	$1^{\displaystyle }$	${\displaystyle(*2_{0}2_{1}{1}2_{0}2_{1}{1}{1}:}3}$	${\displaystyle(*2_{0}2_{1}{1}2_{0}2_{1}{1}{1}:}3}$
197			I23	I 2 3	$\감마_{c}^{v}T^{3}}}$	60년대	$\왼쪽 \tfrac {a+b+c}{2}}/a:a:a\오른쪽):2/3$	${\displaystyle 4^{\cHB \cHB \cH$	${\displaystyle(2_{1}{*}2_{0}2_{0}}{0}}}{:}3}$	${\displaystyle(2_{1}{*}2_{0}2_{0}}{0}}}{:}3}$
198			P2₁3	P2₁ 3	$\감마 _{c}T^{4}}$	89a	$\left(a:a:a:a\right):2_{1}/3$	$1^{\displaystyle }/4}$	${\displaystyle(2_{1}2_{1}{1}{\bar{\bar{\reason }}}{\displaystyle}}{}3}$	${\displaystyle(2_{1}2_{1}{1}{\bar{\bar{\reason }}}{\displaystyle}}{}3}$
199			I2₁3	I 2₁ 3	$\감마_{c}^{v}T^{5}}$	90a	$\왼쪽 \tfrac {a+b+c}{2}}/a:a:a\\오른쪽):2_{1}/3$	$2^{\put }/4$	${\displaystyle(2_{0}{*}2_{1}{1}{1}{1}{1}{1}}{:}3}$	${\displaystyle(2_{0}{*}2_{1}{1}{1}{1}{1}{1}}{:}3}$
200	2/m 3	$3{*}2$	Pm3	P 2/m 3	$\Gamma _{c}T_{h}^{1}:{1$	62년대	$\left(a:a:a\right)\cdot m/{\tilde{6}$	$4^{-}$	$[*{\cdot }2{\cdot }2{\cdot }2{\cdot }2]{:}3$	$[*{\cdot }2{\cdot }2{\cdot }2{\cdot }2]{:}3$
201			Pn3	P 2/n 3	$\Gamma _{c}T_{h}^{2}$	49시간	$\left(a:a:a\right)\cdot {\widetilde {ab}/{\tilde {6}$	$4^{\pair +}$	${\displaystyle(2{\bar {{*}_{1}2_{0}{0}}{:}3}$	${\displaystyle(2{\bar {{*}_{1}2_{0}{0}}{:}3}$
202			Fm3	F 2/m 3	$\감마 _{c}^{f}T_{h}^{3}}$	64년대	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a\오른쪽)\cdot m/{\tilde{6}$	$2^{-}$	$[*{\cdot }2{\cdot }2{:}2}{:}3$	$[*{\cdot }2{\cdot }2{:}2}{:}3$
203			Fd3	F 2/d 3	$\감마 _{c}^{f}T_{h}^{4}}$	50시간	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a\오른쪽)\cdot {\tfrac {1}{1}:{2}}/{\widetilde{ab}/{\tilde{6}}}$	$2^{\pair +}$	${\displaystyle(2{\bar{*}2}}_{0}2_{1}{:}3}$	${\displaystyle(2{\bar{*}2}}_{0}2_{1}{:}3}$
204			임3	I 2/m 3	$\감마_{c}^{v}T_{h}^{5}}}$	63년대	$\왼쪽 \tfrac {a+b+c}{2}}/a:a:a\오른쪽)\cdot m/{\tilde{6}}$	$8^{-\pair }$	$[2_{1}{*}{\cdot }2{\cdot }}{\cdot }}{:}3$	$[2_{1}{*}{\cdot }2{\cdot }}{\cdot }}{:}3$
205			3페이지	P 2₁/a 3	$\Gamma _{c}T_{h}^{6}}$	91a	$\left(a:a:a\오른쪽)\cdot {\tilde {a}/{\tilde {6}$	$2^{-}/4$	${\displaystyle(2_{1}2}{\bar {*}{:}}}{:}3)}$	${\displaystyle(2_{1}2}{\bar {*}{:}}}{:}3)}$
206			Ia3	I 2₁/a 3	$\감마_{c}^{v}T_{h}^{7}}}$	92a	$\leftt\tfrac {a+b+c}{2}}/a:a\a\오른쪽)\cdot {\tilde {a}/{\tilde {6}$	$4^{-}/4$	${\displaystyle(*2_{1}2}{:}2{:}2){:}3}$	${\displaystyle(*2_{1}2}{:}2{:}2){:}3}$
207	432	$432년식 디스플레이$	P432년	P 4 3 2	$\감마_{c}O^{1}:{1$	68년대	$왼쪽(a:a:a:a\오른쪽):4/3}$	$4^{\pair -$	${\displaystyle(*4_{0}4_{0}_{0}}{0}}}{:}3}$	${\displaystyle(*2_{0}2_{0}2_{0}}{0}}{0}}{:}6}$
208			P432년₂	P 4₂ 3 2	$\감마_{c}O^{2}$	98a	$\left(a:a:a:a\right):4_{2}/3$	$4^{+}$	${\displaystyle(*4_{2}4_{2}2_{0}){:}3}$	${\displaystyle(*2_{0}2_{0}2_{0}}{0}}{0}}{:}6}$
209			F432년	F 4 3 2	$\감마 _{c}^{f}O^{3}$	70년대	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a\오른쪽:4/3$	$2^{\pair -$	${\displaystyle(*4_{2}4_{0}2_{1}{:}3}$	${\displaystyle(*2_{0}2_{1}{1}2_{0}2_{1}{1}{1}:}6}$
210			F432년₁	F 4₁ 3 2	$\감마_{c}^{f}O^{4}}$	97a	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a\오른쪽:4_{1}/3$	$2^{+}$	${\displaystyle(*4_{3}4_{1}2}_{0}}{:}3}$	${\displaystyle(*2_{0}2_{1}{1}2_{0}2_{1}{1}{1}:}6}$
211			I432년	I 4 3 2	$\감마_{c}^{v}O^{5}}$	69년대	$\왼쪽 \tfrac {a+b+c}{2}}/a:a:a\오른쪽):4/3$	$8^{+\cHB }$	$(4_{2}4_{0}2_{1}{:3}}$	${\displaystyle(2_{1}{*}2_{0}2_{0}}{0}}}{:}6}$
212			P432년₃	P 4₃ 3 2	$\감마 _{c}O^{6}}$	94a	$\left(a:a:a:a\right):4_{3}/3$	$2^{+}/4$	$(4_{1}{*}2}_{1}{1}:}3$	${\displaystyle(2_{1}2_{1}{1}{\bar{\bar{\reason }}}{\displaystyle}}{}6}$
213			P432년₁	P 4₁ 3 2	$\감마 _{c}O^{7}}$	95a	$\left(a:a:a:a\right):4_{1}/3$	$2^{+}/4$	$(4_{1}{*}2}_{1}{1}:}3$	${\displaystyle(2_{1}2_{1}{1}{\bar{\bar{\reason }}}{\displaystyle}}{}6}$
214			I432년₁	I 4₁ 3 2	$\감마_{c}^{v}O^{8}}$	96a	$\left({\tfrac {a+b+c}{2}}/:a:a:a\\right):4_{1}/3$	$4^{+}/4$	${\displaystyle(*4_{3}4_{1}2}_{0}}{:}3}$	${\displaystyle(2_{0}{*}2_{1}{1}{1}{1}{1}{1}}{:}6}$
215	43m	$*332$	P43m	P 4 3 m	$\Gamma _{c}T_{d}^{1}:{1$	65년대	$왼쪽(a:a:a:a\오른쪽):{\tilde{4}/3}$	$2^{\filename }{:$	${\displaystyle(*4{\cdot }42_{0}){:}3}$	${\displaystyle(*2_{0}2_{0}2_{0}}{0}}{0}}{:}6}$
216			F43m	F 4 3m	$\감마 _{c}^{f}T_{d}^{2}$	67년대	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a\오른쪽):{\tilde{4}/3$	$1^{\filename }{:$	${\displaystyle(*4{\cdot }42_{1}{:}3}$	${\displaystyle(*2_{0}2_{1}{1}2_{0}2_{1}{1}{1}:}6}$
217			I43m	I 4 3m	$\감마_{c}^{v}T_{d}^{3}}}$	66년대	$\왼쪽 \tfrac {a+b+c}{2}}/a:a:a\오른쪽):{\tilde{4}/3$	$4^{\filename }{:$	${\displaystyle(*{\cdot }44{:}2}){:}3}$	${\displaystyle(2_{1}{*}2_{0}2_{0}}{0}}}{:}6}$
218			P43n	P 4 3n	$\Gamma_{c}T_{d}^{4}}$	51시간	$왼쪽(a:a:a:a\오른쪽):{\tilde{4}/3}$	$4^{\put }$	${\displaystyle(*4{:}42_{0}){:}3}$	${\displaystyle(*2_{0}2_{0}2_{0}}{0}}{0}}{:}6}$
219			F43c	F 4 3 c	$\감마 _{c}^{f}T_{d}^{5}}$	52시간	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a\오른쪽):{\tilde{4}/3$	${\displaystyle 2^{\display \cHB \c$	${\displaystyle(*4{:}42_{1}{1}:}3}$	${\displaystyle(*2_{0}2_{1}{1}2_{0}2_{1}{1}{1}:}6}$
220			I43d	I 4 3 d	$\감마_{c}^{v}T_{d}^{6}}}$	93a	$\왼쪽 \tfrac {a+b+c}{2}}/a:a:a\오른쪽):{\tilde{4}/3$	$4^{\put }/4$	$(4{\bar{*}}}}{{1}:}3$	${\displaystyle(2_{0}{*}2_{1}{1}{1}{1}{1}{1}}{:}6}$
221	4/m 3 2/m	$*432$	Pm3m	P 4/m 3 2/m	$\감마_{c}O_{h}^{1}:{1$	71년대	$\left(a:a:a:a\\right):4/{\tilde {6}\cdot m$	$4^{-}{:}{:}2$	$[*{\cdot }4{\cdot }4{\cdot }2]{:}3$	$[*{\cdot }2{\cdot }2{\cdot }2{\cdot }2]{:}6$
222			Pn3n	P 4/n 3 2/n	$\감마_{c}O_{h}^{2}$	53시간	$\left(a:a:a:a\오른쪽):4/{\tilde {6}\cdot {\widetilde {abc}$	${\displaystyle 8^{\cHB \cHB \cH$	${\displaystyle*4_{0}4{:}2){:}3}$	${\displaystyle(2{\bar {{*}_{1}2_{0}{0}}{:}6}$
223			Pm3n	P 4₂/m 3 2/n	$\감마_{c}O_{h}^{3}}}$	102a	$\left(a:a:a:a\right):4_{2}/{\tilde{6}\cdot{\widetilde}}}$	$8^{\displaystyle }$	$[*{\cdot }4{:}4{\cdot }2]{:}3$	$[*{\cdot }2{\cdot }2{\cdot }2{\cdot }2]{:}6$
224			Pn3m	P 4₂/n 3 2/m	$\감마_{c}O_{h}^{4}}$	103a	$\left(a:a:a:a\\right):4_{2}/{\tilde{6}\cdot m$	$4^{+}{:}{:}2$	${\displaystyle(*4_{2}4{\cdot }2){:}3}$	${\displaystyle(2{\bar {{*}_{1}2_{0}{0}}{:}6}$
225			Fm3m	F 4/m 3 2/m	$\감마 _{c}^{f}O_{h}^{5}}$	73년대	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a:a\오른쪽):4/{\tilde {6}\cdot m$	$2^{-}{:}{:}2$	$[*{\cdot }4{\cdot }4{:}{:}2]{:}3$	$[*{\cdot }2{\cdot }2{:}{:}2]{:}6$
226			Fm3c	F 4/m 3 2/c	$\감마 _{c}^{f}O_{h}^{6}}$	54시간	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a\a\오른쪽):4/{\tilde {6}\cdot {\tilde {c}$	$4^{-}$	$[*{\cdot }4{:}4{:}4{:}2]{:}3$	$[*{\cdot }2{\cdot }2{:}{:}2]{:}6$
227			Fd3m	F 4₁/d 3 2/m	$\감마 _{c}^{f}O_{h}^{7}}$	100a	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a\오른쪽):4_{1}/{\tilde{6}\cdot m$	$2^{+}{:}{:}2$	${\displaystyle(*4_{1}4{\cdot }2}){:}3}$	${\displaystyle(2{\bar{*}2}}_{0}2_{1}{:}6}$
228			Fd3c	F 4₁/d 3 2/c	$\감마 _{c}^{f}O_{h}^{8}}$	101a	$\left\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}}}:a:a:a\오른쪽):4_{1}/{\tilde{6}\cdot{\tilde{\c}$	$4^{{+}}$	${\displaystyle(*4_{1}4{:}2}){:}3}$	${\displaystyle(2{\bar{*}2}}_{0}2_{1}{:}6}$
229			임3m	I 4/m 3 2/m	$\감마_{c}^{v}O_{h}^{9}}}$	72년대	$\왼쪽 \tfrac {a+b+c}{2}}/a:a:a\오른쪽):4/{\tilde {6}\cdot m$	$8^{\filename }{:}2$	$[*{\cdot }4{\cdot }4{:}{:}2]{:}3$	$[2_{1}{*}{\cdot }2{\cdot }}{\cdot }}{:}6$
230			Ia3d	I 4₁/a 3 2/d	$\감마_{c}^{v}O_{h}^{10}}}$	99a	$\leftt\tfrac {a+b+c}{2}}/a:a\오른쪽):4_{1}/{\tilde{6}\cdot{\tfrac{1}{1}:{1}{1}:{\widetilde}}}}$	$8^{\displaystyle }/4}$	${\displaystyle(*4_{1}4{:}2}){:}3}$	${\displaystyle(*2_{1}2}{:}2{:}2){:}6}$

참조

^ Bradley, C. J.; Cracknell, A. P. (2010). The mathematical theory of symmetry in solids : representation theory for point groups and space groups. Oxford New York: Clarendon Press. pp. 127–134. ISBN 978-0-19-958258-7. OCLC 859155300.

외부 링크

[1] Bradley, C. J.; Cracknell, A. P. (2010). The mathematical theory of symmetry in solids : representation theory for point groups and space groups. Oxford New York: Clarendon Press. pp. 127–134. ISBN 978-0-19-958258-7. OCLC 859155300.

[1]

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