Daftar grup simetri bola hingga

Grup titik dalam tiga dimensi

Simetri involusi Cs, (*) [ ] =	Simetri siklik Cnv, (*nn) [n] =	Simetri dihedral Dnh, (*n22) [n,2] =
Grup polihedral, [n,3], (*n32)
Simetri tetrahedral Td, (*332) [3,3] =	Simetri oktahedral Oh, (*432) [4,3] =	Simetri ikosahedral Ih, (*532) [5,3] =

Kelompok simetri bola hingga disebut juga kelompok titik dalam tiga dimensi. Terdapat lima kelas simetri fundamental yang memiliki domain fundamental segitiga: simetri dihedral, siklik, tetrahedral, oktahedral, dan ikosahedral.

Simetri konstitusional

Intl	Geo	Orb.	Schön.	Con.	Cox.	Ord.	Dom. dasar
1	1	11	C1	C1	][ [ ]+	1
2	2	22	D1 = C2	D2 = C2	[2]+	2
1	22	×	Ci = S2	CC2	[2+,2+]	2
2 = m	1	*	Cs = C1v = C1h	±C1 = CD2	[ ]	2

Simetri siklik

Intl	Geo	Orb.	Schön.	Con.	Cox.	Ord.	Dom. dasar
4	42	2×	S4	CC4	[2+,4+]	4
2/m	22	2*	C2h = D1d	±C2 = ±D2	[2,2+] [2+,2]	4

Intl	Geo	Orb.	Schön.	Con.	Cox.	Ord.	Dom. dasar
2 3 4 5 6 n	2 3 4 5 6 n	22 33 44 55 66 nn	C2 C3 C4 C5 C6 Cn	C2 C3 C4 C5 C6 Cn	[2]+ [3]+ [4]+ [5]+ [6]+ [n]+	2 3 4 5 6 n
2mm 3m 4mm 5m 6mm nm (n is odd) nmm (n is even)	2 3 4 5 6 n	*22 *33 *44 *55 *66 *nn	C2v C3v C4v C5v C6v Cnv	CD4 CD6 CD8 CD10 CD12 CD2n	[2] [3] [4] [5] [6] [n]	4 6 8 10 12 2n
3 8 5 12 -	62 82 10.2 12.2 2n.2	3× 4× 5× 6× n×	S6 S8 S10 S12 S2n	±C3 CC8 ±C5 CC12 CC2n / ±Cn	[2+,6+] [2+,8+] [2+,10+] [2+,12+] [2+,2n+]	6 8 10 12 2n
3/m=6 4/m 5/m=10 6/m n/m	32 42 52 62 n2	3* 4* 5* 6* n*	C3h C4h C5h C6h Cnh	CC6 ±C4 CC10 ±C6 ±Cn / CC2n	[2,3+] [2,4+] [2,5+] [2,6+] [2,n+]	6 8 10 12 2n