Trigonal Space Groups
$P3$ $(\#143)$
|
A4B6C_hP11_143_ad_2d_b-001
ScRh$_{6}$P$_{4}$ 
|
AB2_hP12_143_ad_bc2d-001
Trigonal MoS$_{2}$ 
|
A4B14C3_hP21_143_ad_bc4d_d-001
Simpsonite (Ta$_{3}$Al$_{4}$O$_{13}$[OH]) 
|
|
AB3C9D_hP28_143_2a_2d_6d_bc-001
$P3$ La$_{3}$BWO$_{9}$ 
|
A5B_hP60_143_7a7b6c10d_3a3b4c-001
Trigonal (h') Al$_{5}$Mo 
|
$P3_1$ $(\#144)$
|
AB_hP6_144_a_a-001
ZnTe (high-pressure) 
|
A4B_hP15_144_4a_a-001
IrGe$_{4}$ 
|
AB3C_hP45_144_3a_9a_3a-001
RbNO$_{3}$ (IV) 
|
$P3_2$ $(\#145)$
|
A2B3C3DE7_hP48_145_2a_3a_3a_a_7a-001
Sheldrickite (NaCa$_{3}$[CO$_{3}$]$_{2}$F$_{3}$[H$_{2}$O]) 
|
$R3$ $(\#146)$
|
A3BC_hR5_146_b_a_a-001
$\gamma$-Ag$_{3}$SI (Low-Temperature) 
|
A2B6CD_hR10_146_2a_2b_a_a-001
Li$_{2}$ZrTeO$_{6}$ 
|
ABC3_hR10_146_2a_2a_2b-001
FePSe$_{3}$ 
|
|
A3B7_hR20_146_2b_2a4b-001
Pd$_{7}$P$_{3}$ 
|
AB2_hR27_146_3a2b_6b-001
Carlinite (Tl$_{2}$S) 
|
AB4CD_hR42_146_2b_8b_2b_2b-001
Rhombohedral LiZnPO$_{4}$ 
|
$P\overline{3}$ $(\#147)$
|
A2B_hP9_147_g_ad-001
$\gamma$-AgZn ($B_{b}$) 
|
A2B_hP9_147_g_ad-002
PtBi$_{2}$ 
|
A2B3C_hP12_147_abd_g_d-001
Na$_{2}$SO$_{3}$ ($G3_{2}$) 
|
|
AB2CD8E2_hP14_147_a_d_b_dg_d-001
Na$_{2}$BaNi(PO$_{4}$)$_{2}$ 
|
A2B3C_hP48_147_2d2g_4g_abef-001
URu$_{3}$B$_{2}$ 
|
$R\overline{3}$ $(\#148)$
|
A_hR6_148_f-001
S$_{6}$ ($\rho$-S) Sulfur 
|
AB3_hR8_148_c_f-001
BiI$_{3}$ ($D0_{5}$) 
|
AB6C_hR8_148_a_f_b-001
$\beta$-CuZrF$_{6}$ 
|
|
A2B3_hR10_148_abc_f-001
Rhombohedral Cr$_{2}$S$_{3}$ 
|
A2BCD6_hR10_148_c_a_b_f-001
Dolomite [MgCa(CO$_{3}$)$_{2}$, $G1_{1}$ 
|
AB3C_hR10_148_c_f_c-001
Ilmenite (FeTiO$_{3}$, $E2_{2}$) 
|
|
ABC3_hR10_148_c_c_f-001
FePSe$_{3}$ 
|
A2BC2D8_hR13_148_c_a_c_cf-001
BaNi$_{2}$As$_{2}$O$_{8}$ 
|
A6B6CD_hR14_148_f_f_a_b-001
Ni(H$_{2}$O)$_{6}$SnCl$_{6}$ ($I6_{1}$) 
|
|
A6B2C6D_hR15_148_f_c_f_a-001
K$_{2}$Sn(OH)$_{6}$ ($H6_{2}$) 
|
A8B6C_hR15_148_cf_f_a-001
Li$_{7}$TaO$_{6}$ 
|
AB6C8_hR15_148_a_f_cf-001
BaMo$_{6}$S$_{8}$ 
|
|
AB_hR16_148_cf_cf-001
Solid Cubane (C$_{8}$H$_{8}$) 
|
A2B15_hR17_148_c_ac2f-001
Pd$_{15}$P$_{2}$ 
|
A2B_hR18_148_2f_f-001
$\beta$-PdCl$_{2}$ 
|
|
A3B6C_hR20_148_f_2f_ab-001
Mg$_{3}$TeO$_{6}$ 
|
A7B12C_hR20_148_ade_2f_b-001
SrMn$_{7}$O$_{12}$ 
|
ABC2_hR24_148_f_f_2f-001
Trechmannite (AgAsS$_{2}$) 
|
|
AB_hR26_148_a2f_b2f-001
PdAl 
|
A2B12C3_hR34_148_2c_4f_f-001
Mikasaite (Rhombohedral Fe$_{2}$(SO$_{4}$)$_{3}$) 
|
A2B4C_hR42_148_2f_4f_f-001
Phenakite (Be$_{2}$SiO$_{4}$, $S1_{3}$) 
|
$P312$ $(\#149)$
|
AB6CD_hP9_149_a_l_d_e-001
PbMnTeO$_{6}$ 
|
AB3_hP24_149_acgi_3l-001
Ti$_{3}$O (Room-Temperature) 
|
$P321$ $(\#150)$
|
A2B_hP9_150_ef_ad-001
Original Fe$_{2}$P ($C22$) 
|
A6B2C_hP9_150_ef_d_a-001
$\beta$-Na$_{2}$ThF$_{6}$ 
|
ABC8D2_hP12_150_a_b_dg_d-001
Steklite [KAl(SO$_{4}$)$_{2}$, $H3_{2}$] 
|
|
AB2CD6_hP30_150_e_c2d_f_3g-001
Paralstonite (BaCa(CO$_{3}$)$_{2}$) 
|
AB3C_hP30_150_ef_3g_c2d-001
KSO$_{3}$ ($K1_{1}$) 
|
$P3_112$ $(\#151)$
|
A3B_hP24_151_3c_2a-001
CrCl$_{3}$ ($D0_{4}$) 
|
A5B6_hP33_151_3a2b_3c-001
V$_{6}$C$_{5}$ 
|
$P3_121$ $(\#152)$
|
A_hP3_152_a-001
$\gamma$-Se ($A8$) 
|
A2B_hP9_152_c_a-001
$\alpha$-Quartz (low Quartz) 
|
A2B3_hP15_152_c_ac-001
Trigonal B$_{2}$O$_{3}$ 
|
|
ABC4_hP18_152_a_b_2c-001
Alarsite (AlAsO$_{4}$) 
|
A3B6C13_hP66_152_ac_3c_a2b5c-001
Ni$_{13}$Ga$_{3}$Ge$_{6}$ 
|
$P3_212$ $(\#153)$
|
A3B_hP24_153_3c_2a-001
CrCl$_{3}$ 
|
$P3_221$ $(\#154)$
|
AB_hP6_154_a_b-001
Cinnabar (HgS, $B9$) 
|
A_hP9_154_ac-001
S-II 
|
AB2C2_hP15_154_a_ab_c-001
EuIr$_{2}$P$_{2}$ 
|
|
A2BC4D_hP24_154_c_a_2c_b-001
RbAg$_{2}$SbS$_{4}$ 
|
$R32$ $(\#155)$
|
A3B2_hR5_155_e_c-001
Hazelwoodite (Ni$_{3}$S$_{2}$, $D5_{e}$) 
|
AB3_hR8_155_c_de-001
AlF$_{3}$ ($D0_{14}$) 
|
AB2C2DE3_hR9_155_a_c_c_b_d-001
KBe$_{2}$BO$_{3}$F$_{2}$ 
|
|
A4BC3D12_hR20_155_ad_b_e_2df-001
Huntite [CaMg$_{3}$(CO$_{3}$)$_{4}$] 
|
A9BC3_hR26_155_3cdef_c_f-001
ErNi$_{3}$Al$_{9}$ 
|
ABC3_hR30_155_de_f_de2f-001
Low Temperature GdBO$_{3}$ 
|
$P3m1$ $(\#156)$
|
AB_hP4_156_ab_ab-001
$\beta$-CuI (Sakuma) 
|
AB2_hP9_156_2ab_a2b3c-001
CdI$_{2}$ (Polytype 6H$_{1}$) 
|
AB_hP12_156_3a2bc_3a2bc-001
$\beta$-CuI (Kurdyumova) 
|
|
ABC4D_hP14_156_ac_bc_ab2d_ab-001
KNaSO$_{4}$ 
|
$P31m$ $(\#157)$
|
A5B6C2_hP13_157_2ac_2c_b-001
Ag$_{5}$Pb$_{2}$O$_{6}$ 
|
$P3c1$ $(\#158)$
|
A3B_hP8_158_d_a-001
$\beta$-RuCl$_{3}$ 
|
$P31c$ $(\#159)$
|
A2B3_hP20_159_bc_2c-001
HP-Bi$_{2}$O$_{3}$ 
|
AB4C7D_hP26_159_b_ac_a2c_b-001
YbBaCo$_{4}$O$_{7}$ 
|
A4B3_hP28_159_ab2c_2c-001
Nierite ($\alpha$-Si$_{3}$N$_{4}$) 
|
$R3m$ $(\#160)$
|
AB_hR2_160_a_a-002
GeTe 
|
AB2_hR3_160_a_2a-001
Rhombohedral MoS$_{2}$ 
|
ABC_hR3_160_a_a_a-001
Carbonyl Sulphide (COS, F0$_{2}$) 
|
|
A3B_hR4_160_b_a-001
H$_{3}$S (130 GPa) 
|
ABC2_hR4_160_a_a_2a-002
Grimaldiite ($\alpha$-CrOOH) 
|
ABC2_hR4_160_a_a_2a-003
CrCuS$_{2}$ 
|
|
AB_hR4_160_2a_2a-001
$\gamma$-GaSe 
|
AB3C_hR5_160_a_b_a-001
Rhombohedral BaTiO$_{3}$ 
|
ABC3_hR5_160_a_a_b-001
KBrO$_{3}$ ($G0_{7}$) 
|
|
ABC3_hR5_160_a_a_b-002
$\gamma$-Potassium Nitrate (KNO$_{3}$) 
|
AB_hR6_160_3a_3a-001
Moissanite 9R (CSi) 
|
AB_hR6_160_b_b-001
Millerite (NiS, $B13$) 
|
|
A3B4_hR7_160_3a_4a-001
Sn$_{4}$As$_{3}$ 
|
AB3C2D_hR7_160_a_b_2a_a-001
Cronstedtite {Fe(Fe,Si)[(OH)$_{2}$O]O$_{3}$OH, $S5_{7}$} 
|
A5BC2_hR8_160_5a_a_2a-001
Fe$_{5-\delta}$GeTe$_{2}$ 
|
|
AB_hR10_160_5a_5a-001
Moissanite-15R (SiC, $B7$) 
|
A3B7C_hR11_160_b_a2b_a-001
Fe$_{3}$PO$_{7}$ 
|
A8B2C3_hR13_160_2a2b_2a_b-001
$\gamma$-Na$_{2}$Ti$_{3}$Cl$_{8}$ 
|
|
AB4C8_hR13_160_a_ab_2a2b-001
Low Temperature GaMo$_{4}$S$_{8}$ 
|
A8B5_hR26_160_a3bc_a3b-001
Cr$_{5}$Al$_{8}$ ($D8_{10}$) 
|
A3B24C_hR28_160_b_2b3c_a-001
SbI$_{3}$S$_{24}$ 
|
$R3c$ $(\#161)$
|
ABC3_hR10_161_a_a_b-001
Ferroelectric LiNbO$_{3}$ 
|
A3BC3_hR14_161_b_a_b-001
Proustite (Ag$_{3}$AsS$_{3}$) 
|
A2BC4_hR42_161_2b_b_4b-001
$\alpha$-BaB$_{2}$O$_{4}$ (Low Temperature) 
|
|
A6BC18DEF21_hR96_161_2b_a_6b_a_a_7b-001
Stepanovite (NaMgFe(C$_{2}$O$_{4}$)$_{3}\cdot$9H$_{2}$O) 
|
$P\overline{3}1m$ $(\#162)$
|
A2B6C_hP9_162_c_k_b-001
$I1_{3}$ [SrCl$_{2}\cdot$(H$_{2}$O)$_{6}$] (Obsolete) 
|
A6BC2_hP9_162_k_a_d-001
Rosiaite (PbSb$_{2}$O$_{6}$) 
|
AB2_hP9_162_ad_k-001
$\beta$-V$_{2}$N ($L'3_{2}$) 
|
|
A7BC10_hP18_162_ceg_a_hk-001
Trigonal Au$_{7}$P$_{10}$I 
|
$P\overline{3}1c$ $(\#163)$
|
A6BC_hP16_163_i_b_c-001
NaSbF$_{4}$(OH)$_{2}$ ($J1_{12}$) 
|
ABC6D_hP18_163_c_b_i_d-001
Colquiriite (LiCaAlF$_{6}$) 
|
AB2C6D_hP20_163_c_f_i_a-001
$\beta$-Na$_{2}$GeTeO$_{6}$ 
|
|
A3B2C6_hP22_163_cf_e_i-001
Mn$_{3}$Si$_{2}$Te$_{6}$ 
|
A5B6_hP22_163_abcf_i-001
Trigonal Cr$_{5}$S$_{6}$ 
|
AB2CD2_hP36_163_h_i_bf_i-001
KAg(CN)$_{2}$ ($F5_{10}$) 
|
|
A7B3_hP40_163_e2i_i-001
Si$_{2}$Te$_{3}$ 
|
$P\overline{3}m1$ $(\#164)$
|
AB2_hP3_164_a_d-001
$\omega$ Phase (CdI$_{2}$, $C6$) 
|
AB3_hP4_164_a_bd-001
$D0_{13}$ (AlCl$_{3}$) (Obsolete) 
|
ABC2_hP4_164_a_b_d-001
Zlatogorite (CuNiSb$_{2}$) 
|
|
A2B2C_hP5_164_d_d_a-002
Ce$_{2}$O$_{2}$S 
|
A2B3_hP5_164_d_ad-001
La$_{2}$O$_{3}$ ($D5_{2}$) 
|
A2BC2_hP5_164_d_a_d-001
Brucite [Mg(OH)$_{2}$] 
|
|
A3B2_hP5_164_ad_d-001
Al$_{3}$Ni$_{2}$ ($D5_{13}$) 
|
A2B_hP6_164_2d_d-001
$\beta$-CuI (Keen-Hull) 
|
ABC2_hP8_164_d_d_cd-001
Nukundamite [(Cu$_{1-x}$Fe$_{x}$)$_{4}$S$_{4}$] 
|
|
A2BC6_hP9_164_d_a_i-001
K$_{2}$Pt(SCN)$_{6}$ ($H6_{3}$) 
|
A6B2C_hP9_164_i_d_a-001
Bararite [Trigonal (NH$_{4}$)$_{2}$SiF$_{6}$, $J1_{6}$] 
|
A6BC2_hP9_164_i_a_d-001
K$_{2}$GeF$_{6}$ (J1$_{13}$) 
|
|
A7B2_hP9_164_ac2d_d-001
Li$_{7}$Pb$_{2}$ 
|
A7B2_hP9_164_ai_d-001
K$_{2}$Hg$_{7}$ 
|
AB2_hP9_164_ad_c2d-001
$\delta_{H}^{II}$-NW$_{2}$ 
|
|
A2B3C6D_hP12_164_d_e_i_a-001
Kapellasite (Cu$_{3}$Zn(OH)$_{6}$Cl$_{2}$) 
|
A4BC7_hP12_164_2d_a_bc2d-001
MnBi$_{4}$Te$_{7}$ 
|
AB2C3_hP12_164_d_ae_i-001
Jacutingaite (Pt$_{2}$HgSe$_{3}$) 
|
|
ABC2_hP12_164_ad_bd_c2d-001
AgBiSe$_{2}$ 
|
AB_hP12_164_c2d_c2d-001
Nevskite (BiSe) 
|
A2B4C_hP14_164_abd_di_d-001
Trigonal $\alpha$-Ca$_{2}$SiO$_{4}$ 
|
|
A3BC8D2_hP14_164_ad_b_di_d-001
Aphthitalite/Glaserite [K$_{3}$Na(SO$_{4}$)$_{2}$] 
|
A3B9CD2_hP15_164_ad_ei_b_d-001
Ba$_{3}$SrTa$_{2}$O$_{9}$ 
|
A13B5_hP18_164_a2c4d_b2d-001
Li$_{13}$Sn$_{5}$ 
|
|
A16B2C_hP19_164_2d2i_d_a-001
Predicted Li$_{2}$MgH$_{16}$ 300 GPa 
|
ABC2D2E_hP21_164_bd_e_i_i_ac-001
YCu$_{3}$(OH)$_{6}$Cl$_{3}$ 
|
$P\overline{3}c1$ $(\#165)$
|
A3B_hP24_165_adg_f-001
H$_{3}$Ho 
|
A3B_hP24_165_bdg_f-001
Cu$_{3}$P ($D0_{21}$) 
|
A4B2C9_hP30_165_2d_c_fg-001
Nb$_{2}$Mn$_{4}$O$_{9}$ 
|
|
A3B9C29D8_hP98_165_f_bdg_df4g_dg-001
Li$_{9}$Al$_{3}$(P$_{2}$O$_{7}$)$_{3}$(PO$_{4}$)$_{2}$ 
|
$R\overline{3}m$ $(\#166)$
|
A_hR1_166_a-001
$\beta$-Po ($A_i$) 
|
A_hR1_166_a-002
$\alpha$-Hg (A10) 
|
AB_hR2_166_a_b-001
Rhombohedral CuPt ($L1_{1}$) 
|
|
AB_hR2_166_a_b-003
KSH ($B22$) 
|
A_hR2_166_c-001
$\alpha$-As ($A7$) 
|
A_hR2_166_c-002
Rhombohedral Graphite 
|
|
A_hR2_166_c-003
$\beta$-O$_{2}$ 
|
AB2_hR3_166_a_c-004
CdCl$_{2}$ 
|
A_hR3_166_ac-001
$\alpha$-Sm ($C19$) 
|
|
ABC2_hR4_166_a_b_c-001
Caswellsilverite (CrNaS$_{2}$, $F5_{1}$) 
|
ABC2_hR4_166_a_b_c-004
Rhombohedral Delafossite (CuFeO$_{2}$) 
|
ABC2_hR4_166_a_b_c-009
$\alpha$-NaFeO$_{2}$ 
|
|
A2B3_hR5_166_c_ac-001
Bi$_{2}$Te$_{3}$ ($C33$) 
|
AB2_hR6_166_c_2c-002
CaSi$_{2}$ ($C12$) 
|
AB4C_hR6_166_a_2c_b-001
CaUO$_{4}$ 
|
|
ABC_hR6_166_c_c_c-001
SmSI 
|
ABC_hR6_166_c_c_c-002
YOF 
|
A2B4C_hR7_166_c_2c_a-001
YbFe$_{2}$O$_{4}$ 
|
|
A2BC4_hR7_166_c_a_2c-002
MnBi$_{2}$Te$_{4}$ 
|
A3B2C2_hR7_166_d_ab_c-001
Shandite (Ni$_{3}$Pb$_{2}$S$_{2}$) 
|
A3B4_hR7_166_ac_2c-001
In$_{3}$Se$_{4}$ 
|
|
A4B3_hR7_166_2c_ac-001
Al$_{4}$C$_{3}$ ($D7_{1}$) 
|
A4B3_hR7_166_2c_ac-002
Bi$_{4}$Te$_{3}$ 
|
A5B2_hR7_166_a2c_c-001
Mo$_{2}$B$_{5}$ ($D8_{i}$) 
|
|
A6B_hR7_166_f_b-001
CaC$_{6}$ 
|
AB2C4_hR7_166_a_c_2c-002
GeSb$_{2}$Te$_{4}$ 
|
AB4C2_hR7_166_a_2c_c-001
CaCu$_{4}$P$_{2}$ 
|
|
A3B_hR8_166_h_c-001
SnP$_{3}$ 
|
ABC6_hR8_166_a_b_h-001
$\beta$-Potassium Nitrate (KNO$_{3}$) 
|
A3B2_hR10_166_h_2c-001
Fe$_{3}$Sn$_{2}$ 
|
|
A6B3C2_hR11_166_3c_ac_c-001
Al$_{6}$C$_{3}$N$_{2}$ 
|
A8B3_hR11_166_4c_ac-001
Li$_{8}$Pb$_{2}$ 
|
A2BC_hR12_166_g_d_ac-001
ThB$_{2}$C 
|
|
A3B_hR12_166_ach_bc-001
NbBe$_{3}$ 
|
AB3_hR12_166_ac_eh-001
BaPb$_{3}$ 
|
A_hR12_166_2h-001
$\alpha$-B (R-12) 
|
|
A3B2C8_hR13_166_ac_c_ch-002
Ba$_{3}$Cr$_{2}$O$_{8}$ 
|
A7B6_hR13_166_ah_3c-001
Fe$_{7}$W$_{6}$ ($D8_{5}$) $\mu$-phase 
|
A8B3C2_hR13_166_ch_e_c-001
Na$_{2}$Mn$_{3}$Cl$_{8}$ 
|
|
A13B2_hR15_166_a2h_c-001
B$_{13}$C$_{2}$ “B$_{4}$C” ($D1_{g}$) 
|
A8B3C4_hR15_166_4c_ac_2c-001
Al$_{8}$C$_{3}$N$_{4}$ 
|
AB7_hR16_166_c_c2h-001
TaTi$_{7}$ (BCC SQS-16) 
|
|
A6BC10_hR17_166_3c_a_5c-001
MnBi$_{6}$Te$_{10}$ 
|
A7B2_hR18_166_a2cdh_2c-001
Er$_{2}$Co$_{7}$ 
|
A17B2_hR19_166_cegh_c-001
Nb$_{2}$Be$_{17}$ 
|
|
A2B17_hR19_166_c_cdfh-001
Th$_{2}$Zn$_{17}$ 
|
A4BC12D3_hR20_166_2c_a_2h_bc-001
Ba$_{4}$NbRu$_{3}$O$_{12}$ 
|
AB6C2D_hR20_166_ab_2h_2c_c-001
High Temperature K$_{2}$LiAlF$_{6}$ 
|
|
A_hR105_166_ac9h4i-001
$\beta$-B (R-105) 
|
$R\overline{3}c$ $(\#167)$
|
A3B_hR8_167_e_b-001
FeF$_{3}$ ($D0_{12}$) 
|
A2B3_hR10_167_c_e-001
Corundum ($\alpha$-alumina, Al$_{2}$O$_{3}$, $D5_{1}$) 
|
AB3C_hR10_167_b_e_a-001
PrNiO$_{3}$ 
|
|
ABC3_hR10_167_a_b_e-001
Paraelectric LiNbO$_{3}$ 
|
ABC3_hR10_167_a_b_e-002
Calcite (CaCO$_{3}$, $G0_{1}$) 
|
A5B_hR12_167_ce_b-001
Rhombohedral Al$_{5}$Mo 
|
|
A3BC6_hR20_167_e_b_f-001
CrCl$_{3}$(H$_{2}$O)$_{6}$ ($J2_{2}$) 
|
AB3C_hR20_167_c_f_c-001
AgRuO$_{3}$ 
|
A3BC7_hR22_167_e_b_af-001
ScRh$_{3}$Si$_{7}$ 
|
|
A6BC3D_hR22_167_f_b_e_a-001
Rinneite (K$_{3}$NaFeCl$_{6}$) 
|
ABC2_hR24_167_e_e_2e-001
KBO$_{2}$ ($F5_{13}$) 
|
A9B3C2_hR28_167_ef_e_c-001
Cs$_{3}$Tl$_{2}$Cl$_{9}$ ($K7_{2}$) 
|
|
A2BC4_hR42_167_f_ac_2f-001
$\beta$-BaB$_{2}$O$_{4}$ (High Temperature) 
|
AB11C3D_hR64_167_c_be3f_f_c-001
MoP$_{3}$SiO$_{11}$ (Rhombohedral Model) 
|
A25B21_hR92_167_b2e3f_e3f-001
Zr$_{21}$Re$_{25}$ 
|