# List of 230 3D symmetry space groups¶

This page presents the list of the 230 3D symmetry space groups with characteristics, and also, if applicable, derivatives of the space group.

This list of symmetry groups is part of the on-line help of the ABINIT code. Besides classical crystallographic information, it provides the values of certain symmetry-related variables used in the input file of the ABINIT code.

The table entries are as follows:

SPGROUP
SPace GROUP number as found in the International Tables of Crystallography, 1983 edition [Hahn1983].
SPGAXOR

SPace Group AXis ORientation, the orientation of the unit cell axis. The allowed values are:

• Trigonal groups:
• 1 represents the hexagonal axes
• 2 represents the rhombohedral axes
• Orthorhombic groups:
• 1 abc -> abc
• 2 abc -> cab
• 3 abc -> bca
• 4 abc -> acb
• 5 abc -> bac
• 6 abc -> cba
• Monoclinic: 3 or 9 possibilities depending on the space group
SPGORIG
SPace Group ORIGin, the position of the origin in the unit cell. The allowed values are 1 and 2. they correspond to the actual choices in the International Tables of Crystallography, 1986 edition.
BRVLTT

BRaVais LaTTice, the type of Bravais lattice. The allowed values are:

• 1 = Primitive with no associated translations
• 2 = Inner centered with (a/2 + b/2 + c/2) associated translation
• 3 = Face centered with (a/2 + b/2; b/2 + c/2; c/2 + a/2) associated translations
• 4 = C - centered with (a/2 + b/2) associated translation
• 5 = A - centered with (b/2 + c/2) associated translation
• 6 = B - centered with (c/2 + a/2) associated translation
• 7 = Rhombohedral lattice
INTERNATIONAL
the INTERNATIONAL notation of the space group
SCHOENFLIES
the equivalent SCHOENFLIES notation of the space group
MULTIPLICITY (x y z)
the maximum multiplicity, after applying Bravais lattice translations, corresponding to a general position (x y z)

## List of 230 3D symmetry space groups¶

This section presents the list of the 230 3D symmetry space groups with characteristics, and also, if applicable, derivatives of the space group.

 SPGROUP SPGAXOR SPGORIG BRVLTT INTERNATIONAL SCHOENFLIES ORDER 1 1 1 1 P1 C11 1 2 1 1 1 P-1 Ci1 2 3 1 1 1 P2_b = P121 C21 2 3 3 1 1 P2_c = P112 C21 2 3 2 1 1 P2_a = P211 C21 2 4 1 1 1 P21_b = P1211 C22 2 4 3 1 1 P21_c = P1121 C22 2 4 2 1 1 P21_a = P2111 C22 2 5 1 1 4 C2_b1 = C121 C23 4 5 5 1 5 C2_b2 = A121 C23 4 5 6 1 2 C2_b3 = I121 C23 4 5 7 1 5 C2_c1 = A112 C23 4 5 8 1 6 C2_c2 = B112 = B2 C23 4 5 9 1 2 C2_c3 = I112 C23 4 5 2 1 6 C2_a1 = B211 C23 4 5 3 1 4 C2_a2 = C211 C23 4 5 4 1 2 C2_a3 = I211 C23 4 6 1 1 1 Pm_b = P1m1 Cs1 2 6 3 1 1 Pm_c = P11m Cs1 2 6 2 1 1 Pm_a = Pm11 Cs1 2 7 1 1 1 Pc_b1 = P1c1 Cs2 2 7 5 1 1 Pc_b2 = P1n1 Cs2 2 7 6 1 1 Pc_b3 = P1a1 Cs2 2 7 7 1 1 Pc_c1 = P11a Cs2 2 7 8 1 1 Pc_c2 = P11n Cs2 2 7 9 1 1 Pc_c3 = P11b = Pb Cs2 2 7 2 1 1 Pc_a1 = Pb11 Cs2 2 7 3 1 1 Pc_a2 = Pn11 Cs2 2 7 4 1 1 Pc_a3 = Pc11 Cs2 2 8 1 1 4 Cm_b1 = C1m1 Cs3 4 8 5 1 5 Cm_b2 = A1m1 Cs3 4 8 6 1 2 Cm_b3 = I1m1 Cs3 4 8 7 1 5 Cm_c1 = A11m Cs3 4 8 8 1 6 Cm_c2 = B11m = Bm Cs3 4 8 9 1 2 Cm_c3 = I11m Cs3 4 8 2 1 6 Cm_a1 = Bm11 Cs3 4 8 3 1 4 Cm_a2 = Cm11 Cs3 4 8 4 1 2 Cm_a3 = Im11 Cs3 4 9 1 1 4 Cc_b1 = C1c1 Cs4 4 9 5 1 5 Cc_b2 = A1n1 Cs4 4 9 6 1 2 Cc_b3 = I1a1 Cs4 4 9 7 1 5 Cc_c1 = A11a Cs4 4 9 8 1 6 Cc_c2 = B11n Cs4 4 9 9 1 2 Cc_c3 = I11b Cs4 4 9 2 1 6 Cc_a1 = Bb11 Cs4 4 9 3 1 4 Cc_a2 = Cn11 Cs4 4 9 4 1 2 Cc_a3 = Ic11 Cs4 4 10 1 1 1 P2/m_b = P12/m1 C2h1 4 10 3 1 1 P2/m_c = P112/m C2h1 4 10 2 1 1 P2/m_a = P2/m11 C2h1 4 11 1 1 1 P21/m_b = P121/m1 C2h2 4 11 3 1 1 P21/m_c = P1121/m C2h2 4 11 2 1 1 P21/m_a = P21/m11 C2h2 4 12 1 1 4 C2/m_b1 = C12/m1 C2h3 8 12 5 1 5 C2/m_b2 = A12/m1 C2h3 8 12 6 1 2 C2/m_b3 = I12/m1 C2h3 8 12 7 1 5 C2/m_c1 = A112/m C2h3 8 12 8 1 6 C2/m_c2 = B112/m = B2/m C2h3 8 12 9 1 2 C2/m_c3 = I112/m C2h3 8 12 2 1 6 C2/m_a1 = B2/m11 C2h3 8 12 3 1 4 C2/m_a2 = C2/m11 C2h3 8 12 4 1 2 C2/m_a3 = I2/m11 C2h3 8 13 1 1 1 P2/c_b1 = P12/c1 C2h4 4 13 5 1 1 P2/c_b2 = P12/n1 C2h4 4 13 6 1 1 P2/c_b3 = P12/a1 C2h4 4 13 7 1 1 P2/c_c1 = P112/a C2h4 4 13 8 1 1 P2/c_c2 = P112/n C2h4 4 13 9 1 1 P2/c_c3 = P112/b = P2/b C2h4 4 13 2 1 1 P2/c_a1 = P2/b11 C2h4 4 13 3 1 1 P2/c_a2 = P2/n11 C2h4 4 13 4 1 1 P2/c_a3 = P2/c11 C2h4 4 14 1 1 1 P21/c_b1 = P121/c1 C2h5 4 14 5 1 1 P21/c_b2 = P121/n1 C2h5 4 14 6 1 1 P21/c_b3 = P121/a1 C2h5 4 14 7 1 1 P21/c_c1 = P1121/a C2h5 4 14 8 1 1 P21/c_c2 = P1121/n C2h5 4 14 9 1 1 P21/c_c3 = P1121/b = P21/b C2h5 4 14 2 1 1 P21/c_a1 = P21/b11 C2h5 4 14 3 1 1 P21/c_a2 = P21/n11 C2h5 4 14 4 1 1 P21/c_a3 = P21/c11 C2h5 4 15 1 1 4 C2/c_b1 = C12/c1 C2h6 8 15 5 1 5 C2/c_b2 = A12/n1 C2h6 8 15 6 1 2 C2/c_b3 = I12/a1 C2h6 8 15 7 1 4 C2/c_c1 = A112/a C2h6 8 15 8 1 6 C2/c_c2 = B112/n C2h6 8 15 9 1 2 C2/c_c3 = I112/b C2h6 8 15 2 1 6 C2/c_a1 = B2/b11 C2h6 8 15 3 1 4 C2/c_a2 = C2/n11 C2h6 8 15 4 1 2 C2/c_a3 = I2/c11 C2h6 8 16 1 1 1 P222 D21 4 17 1 1 1 P2221 D22 4 17 2 1 1 P2122 D22 4 17 3 1 1 P2212 D22 4 18 1 1 1 P21212 D23 4 18 2 1 1 P22121 D23 4 18 3 1 1 P21221 D23 4 19 1 1 1 P212121 D24 4 20 1 1 4 C2221 D25 8 20 2 1 5 A2122 D25 8 20 3 1 6 B2212 D25 8 21 1 1 4 C222 D26 8 21 2 1 5 A222 D26 8 21 3 1 6 B222 D26 8 22 1 1 3 F222 D27 16 23 1 1 2 I222 D28 8 24 1 1 2 I212121 D29 8 25 1 1 1 Pmm2 C2v1 4 25 2 1 1 P2mm C2v1 4 25 3 1 1 Pm2m C2v1 4 26 1 1 1 Pmc21 C2v2 4 26 5 1 1 Pcm21 C2v2 4 26 2 1 1 P21ma C2v2 4 26 6 1 1 P21am C2v2 4 26 3 1 1 Pb21m C2v2 4 26 4 1 1 Pm21b C2v2 4 27 1 1 1 Pcc2 C2v3 4 27 2 1 1 P2aa C2v3 4 27 3 1 1 Pb2b C2v3 4 28 1 1 1 Pma2 C2v4 4 28 5 1 1 Pbm2 C2v4 4 28 2 1 1 P2mb C2v4 4 28 6 1 1 P2cm C2v4 4 28 3 1 1 Pc2m C2v4 4 28 4 1 1 Pm2a C2v4 4 29 1 1 1 Pca21 C2v5 4 29 5 1 1 Pbc21 C2v5 4 29 2 1 1 P21ab C2v5 4 29 6 1 1 P21ca C2v5 4 29 3 1 1 Pc21b C2v5 4 29 4 1 1 Pb21a C2v5 4 30 1 1 1 Pnc2 C2v6 4 30 5 1 1 Pcn2 C2v6 4 30 2 1 1 P2na C2v6 4 30 6 1 1 P2an C2v6 4 30 3 1 1 Pb2n C2v6 4 30 4 1 1 Pn2b C2v6 4 31 1 1 1 Pmn21 C2v7 4 31 5 1 1 Pnm21 C2v7 4 31 2 1 1 P21mn C2v7 4 31 6 1 1 P21nm C2v7 4 31 3 1 1 Pn21m C2v7 4 31 4 1 1 Pm21n C2v7 4 32 1 1 1 Pba2 C2v8 4 32 2 1 1 P2cb C2v8 4 32 3 1 1 Pc2a C2v8 4 33 1 1 1 Pna21 C2v9 4 33 5 1 1 Pbn21 C2v9 4 33 2 1 1 P21nb C2v9 4 33 6 1 1 P21cn C2v9 4 33 3 1 1 Pc21n C2v9 4 33 4 1 1 Pn21a C2v9 4 34 1 1 1 Pnn2 C2v10 4 34 2 1 1 P2nn C2v10 4 34 3 1 1 Pn2n C2v10 4 35 1 1 4 Cmm2 C2v11 8 35 2 1 5 A2mm C2v11 8 35 3 1 6 Bm2m C2v11 8 36 1 1 4 Cmc21 C2v12 8 36 5 1 4 Ccm21 C2v12 8 36 2 1 5 A21ma C2v12 8 36 6 1 5 A21am C2v12 8 36 3 1 6 Bb21m C2v12 8 36 4 1 6 Bm21b C2v12 8 37 1 1 4 Ccc2 C2v13 8 37 2 1 5 A2aa C2v13 8 37 3 1 6 Bb2b C2v13 8 38 1 1 5 Amm2 C2v14 8 38 5 1 6 Bmm2 C2v14 8 38 2 1 6 B2mm C2v14 8 38 6 1 4 C2mm C2v14 8 38 3 1 4 Cm2m C2v14 8 38 4 1 5 Am2m C2v14 8 39 1 1 5 Abm2 C2v15 8 39 5 1 6 Bma2 C2v15 8 39 2 1 6 B2cm C2v15 8 39 6 1 4 C2mb C2v15 8 39 3 1 4 Cm2a C2v15 8 39 4 1 5 Ac2m C2v15 8 40 1 1 5 Ama2 C2v16 8 40 5 1 6 Bbm2 C2v16 8 40 2 1 6 B2mb C2v16 8 40 6 1 4 C2cm C2v16 8 40 3 1 4 Cc2m C2v16 8 40 4 1 5 Am2a C2v16 8 41 1 1 5 Aba2 C2v17 8 41 5 1 6 Bba2 C2v17 8 41 2 1 6 B2cb C2v17 8 41 6 1 4 C2cb C2v17 8 41 3 1 4 Cc2a C2v17 8 41 4 1 5 Ac2a C2v17 8 42 1 1 3 Fmm2 C2v18 16 42 2 1 3 F2mm C2v18 16 42 3 1 3 Fm2m C2v18 16 43 1 1 3 Fdd2 C2v19 16 43 2 1 3 F2dd C2v19 16 43 3 1 3 Fd2d C2v19 16 44 1 1 2 Imm2 C2v20 8 44 2 1 2 I2mm C2v20 8 44 3 1 2 Im2m C2v20 8 45 1 1 2 Iba2 C2v21 8 45 2 1 2 I2cb C2v21 8 45 3 1 2 Ic2a C2v21 8 46 1 1 2 Ima2 C2v22 8 46 5 1 2 Ibm2 C2v22 8 46 2 1 2 I2mb C2v22 8 46 6 1 2 I2cm C2v22 8 46 3 1 2 Ic2m C2v22 8 46 4 1 2 Im2a C2v22 8 47 1 1 1 Pmmm D2h1 8 48 1 1 1 Pnnn_1 D2h2 8 48 1 2 1 Pnnn_2 D2h2 8 49 1 1 1 Pccm D2h3 8 49 2 1 1 Pmaa D2h3 8 49 3 1 1 Pbmb D2h3 8 50 1 1 1 Pban_1 D2h4 8 50 5 2 1 Pban_2 D2h4 8 50 2 1 1 Pncb_1 D2h4 8 50 6 2 1 Pncb_2 D2h4 8 50 3 1 1 Pcna_1 D2h4 8 50 4 2 1 Pcna_2 D2h4 8 51 1 1 1 Pmma D2h5 8 51 5 1 1 Pmmb D2h5 8 51 2 1 1 Pbmm D2h5 8 51 6 1 1 Pcmm D2h5 8 51 3 1 1 Pmcm D2h5 8 51 4 1 1 Pmam D2h5 8 52 1 1 1 Pnna D2h6 8 52 5 1 1 Pnnb D2h6 8 52 2 1 1 Pbnn D2h6 8 52 6 1 1 Pcnn D2h6 8 52 3 1 1 Pncn D2h6 8 52 4 1 1 Pnan D2h6 8 53 1 1 1 Pmna D2h7 8 53 5 1 1 Pnmb D2h7 8 53 2 1 1 Pbmn D2h7 8 53 6 1 1 Pcnm D2h7 8 53 3 1 1 Pncm D2h7 8 53 4 1 1 Pman D2h7 8 54 1 1 1 Pcca D2h8 8 54 5 1 1 Pccb D2h8 8 54 2 1 1 Pbaa D2h8 8 54 6 1 1 Pcaa D2h8 8 54 3 1 1 Pbcb D2h8 8 54 4 1 1 Pbab D2h8 8 55 1 1 1 Pbam D2h9 8 55 2 1 1 Pmcb D2h9 8 55 3 1 1 Pcma D2h9 8 56 1 1 1 Pccn D2h10 8 56 2 1 1 Pnaa D2h10 8 56 3 1 1 Pbnb D2h10 8 57 1 1 1 Pbcm D2h11 8 57 5 1 1 Pcam D2h11 8 57 2 1 1 Pmca D2h11 8 57 6 1 1 Pmab D2h11 8 57 3 1 1 Pbma D2h11 8 57 4 1 1 Pcmb D2h11 8 58 1 1 1 Pnnm D2h12 8 58 2 1 1 Pmnn D2h12 8 58 3 1 1 Pnmn D2h12 8 59 1 1 1 Pmmn_1 D2h13 8 59 5 2 1 Pmmn_2 D2h13 8 59 2 1 1 Pnmm_1 D2h13 8 59 6 2 1 Pnmm_2 D2h13 8 59 3 1 1 Pmnm_1 D2h13 8 59 4 2 1 Pmnm_2 D2h13 8 60 1 1 1 Pbcn D2h14 8 60 5 1 1 Pcan D2h14 8 60 2 1 1 Pnca D2h14 8 60 6 1 1 Pnab D2h14 8 60 3 1 1 Pbna D2h14 8 60 4 1 1 Pcnb D2h14 8 61 1 1 1 Pbca D2h15 8 61 2 1 1 Pcab D2h15 8 62 1 1 1 Pnma D2h16 8 62 5 1 1 Pmnb D2h16 8 62 2 1 1 Pbnm D2h16 8 62 6 1 1 Pcmn D2h16 8 62 3 1 1 Pmcn D2h16 8 62 4 1 1 Pnam D2h16 8 63 1 1 4 Cmcm D2h17 16 63 5 1 4 Ccmm D2h17 16 63 2 1 5 Amma D2h17 16 63 6 1 5 Amam D2h17 16 63 3 1 6 Bbmm D2h17 16 63 4 1 6 Bmmb D2h17 16 64 1 1 4 Cmca D2h18 16 64 5 1 4 Ccmb D2h18 16 64 2 1 5 Abma D2h18 16 64 6 1 5 Acam D2h18 16 64 3 1 6 Bbcm D2h18 16 64 4 1 6 Bmab D2h18 16 65 1 1 4 Cmmm D2h19 16 65 2 1 5 Ammm D2h19 16 65 3 1 6 Bmmm D2h19 16 66 1 1 6 Cccm D2h20 16 66 2 1 5 Amaa D2h20 16 66 3 1 6 Bbmb D2h20 16 67 1 1 4 Cmma D2h21 16 67 5 1 4 Cmmb D2h21 16 67 2 1 5 Abmm D2h21 16 67 6 1 5 Acmm D2h21 16 67 3 1 6 Bmcm D2h21 16 67 4 1 6 Bmam D2h21 16 68 1 1 4 Ccca_1 D2h22 16 68 1 2 4 Ccca_2 D2h22 16 68 5 1 4 Cccb_1 D2h22 16 68 5 2 4 Cccb_2 D2h22 16 68 2 1 5 Abaa_1 D2h22 16 68 2 2 5 Abaa_2 D2h22 16 68 6 1 5 Acaa_1 D2h22 16 68 6 2 5 Acaa_2 D2h22 16 68 3 1 6 Bbcb_1 D2h22 16 68 3 2 6 Bbcb_2 D2h22 16 68 4 1 6 Bbab_1 D2h22 16 68 4 2 6 Bbab_2 D2h22 16 69 1 1 3 Fmmm D2h23 32 70 1 1 3 Fddd_1 D2h24 32 70 1 2 3 Fddd_2 D2h24 32 71 1 1 2 Immm D2h25 16 72 1 1 2 Ibam D2h26 16 72 2 1 2 Imcb D2h26 16 72 3 1 2 Icma D2h26 16 73 1 1 2 Ibca D2h27 16 73 2 1 2 Icab D2h27 16 74 1 1 2 Imma D2h28 16 74 5 1 2 Immb D2h28 16 74 2 1 2 Ibmm D2h28 16 74 6 1 2 Icmm D2h28 16 74 3 1 2 Imcm D2h28 16 74 4 1 2 Imam D2h28 16 75 1 1 1 P4 C41 4 76 1 1 1 P41 C42 4 77 1 1 1 P42 C43 4 78 1 1 1 P43 C44 4 79 1 1 2 I4 C45 8 80 1 1 2 I41 C46 8 81 1 1 1 P-4 S41 4 82 1 1 2 I-4 S42 8 83 1 1 1 P4/m C4h1 8 84 1 1 1 P42/m C4h2 8 85 1 1 1 P4/n_1 C4h3 8 85 1 2 1 P4/n_2 C4h3 8 86 1 1 1 P42/n_1 C4h4 8 86 1 2 1 P42/n_2 C4h4 8 87 1 1 2 I4/m C4h5 16 88 1 1 2 I41/a_1 C4h6 16 88 1 2 2 I41/a_2 C4h6 16 89 1 1 1 P422 D41 8 90 1 1 1 P4212 D42 8 91 1 1 1 P4122 D43 8 92 1 1 1 P41212 D44 8 93 1 1 1 P4222 D45 8 94 1 1 1 P42212 D46 8 95 1 1 1 P4322 D47 8 96 1 1 1 P43212 D48 8 97 1 1 2 I422 D49 16 98 1 1 2 I4122 D410 16 99 1 1 1 P4mm C4v1 8 100 1 1 1 P4bm C4v2 8 101 1 1 1 P42cm C4v3 8 102 1 1 1 P42nm C4v4 8 103 1 1 1 P4cc C4v5 8 104 1 1 1 P4nc C4v6 8 105 1 1 1 P42mc C4v7 8 106 1 1 1 P42bc C4v8 8 107 1 1 2 I4mm C4v9 16 108 1 1 2 I4cm C4v10 16 109 1 1 2 I41md C4v11 16 110 1 1 2 I41cd C4v12 16 111 1 1 1 P-42m D2d1 8 112 1 1 1 P-42c D2d2 8 113 1 1 1 P-421m D2d3 8 114 1 1 1 P-421c D2d4 8 115 1 1 1 P-4m2 D2d5 8 116 1 1 1 P-4c2 D2d6 8 117 1 1 1 P-4b2 D2d7 8 118 1 1 1 P-4n2 D2d8 8 119 1 1 2 I-4m2 D2d9 16 120 1 1 2 I-4c2 D2d10 16 121 1 1 2 I-42m D2d11 16 122 1 1 2 I-42d D2d12 16 123 1 1 1 P4/mmm D4h1 16 124 1 1 1 P4/mcc D4h2 16 125 1 1 1 P4/nbm_1 D4h3 16 125 1 2 1 P4/nbm_2 D4h3 16 126 1 1 1 P4/nnc_1 D4h4 16 126 1 2 1 P4/nnc_2 D4h4 16 127 1 1 1 P4/mbm D4h5 16 128 1 1 1 P4/mnc D4h6 16 129 1 1 1 P4/nmm_1 D4h7 16 129 1 2 1 P4/nmm_2 D4h7 16 130 1 1 1 P4/ncc_1 D4h8 16 130 1 2 1 P4/ncc_2 D4h8 16 131 1 1 1 P42/mmc D4h9 16 132 1 1 1 P42/mcm D4h10 16 133 1 1 1 P42/nbc_1 D4h11 16 133 1 2 1 P42/nbc_2 D4h11 16 134 1 1 1 P42/nnm_1 D4h12 16 134 1 2 1 P42/nnm_2 D4h12 16 135 1 1 1 P42/mbc D4h13 16 136 1 1 1 P42/mnm D4h14 16 137 1 1 1 P42/nmc_1 D4h15 16 137 1 2 1 P42/nmc_2 D4h15 16 138 1 1 1 P42/ncm_1 D4h16 16 138 1 2 1 P42/ncm_2 D4h16 16 139 1 1 2 I4/mmm D4h17 32 140 1 1 2 I4/mcm D4h18 32 141 1 1 2 I41/amd_1 D4h19 32 141 1 2 2 I41/amd_2 D4h19 32 142 1 1 2 I41/acd_1 D4h20 32 142 1 2 2 I41/acd_2 D4h20 32 143 1 1 1 P3 C31 3 144 1 1 1 P31 C32 3 145 1 1 1 P32 C33 3 146 1 1 7 R3_H C34 9 146 2 1 7 R3_R C34 3 147 1 1 1 P-3 C3i1 6 148 1 1 7 R-3_H C3i2 18 148 2 1 7 R-3_R C3i2 6 149 1 1 1 P312 D31 6 150 1 1 1 P321 D32 6 151 1 1 1 P3112 D33 6 152 1 1 1 P3121 D34 6 153 1 1 1 P3212 D35 6 154 1 1 1 P3221 D36 6 155 1 1 7 R32_H D37 18 155 2 1 7 R32_R D37 6 156 1 1 1 P3m1 C3v1 6 157 1 1 1 P31m C3v2 6 158 1 1 1 P3c1 C3v3 6 159 1 1 1 P31c C3v4 6 160 1 1 7 R3m_H C3v5 18 160 2 1 7 R3m_R C3v5 6 161 1 1 7 R3c_H C3v6 18 161 2 1 7 R3c_R C3v6 6 162 1 1 1 P-31m D3d1 12 163 1 1 1 P-31c D3d2 12 164 1 1 1 P-3m1 D3d3 12 165 1 1 1 P-3c1 D3d4 12 166 1 1 7 R-3m_H D3d5 36 166 2 1 7 R-3m_R D3d5 12 167 1 1 7 R-3c_H D3d6 36 167 2 1 7 R-3c_R D3d6 12 168 1 1 1 P6 C61 6 169 1 1 1 P61 C62 6 170 1 1 1 P65 C63 6 171 1 1 1 P62 C64 6 172 1 1 1 P64 C65 6 173 1 1 1 P63 C66 6 174 1 1 1 P-6 C3h1 6 175 1 1 1 P6/m C6h1 12 176 1 1 1 P63/m C6h2 12 177 1 1 1 P622 D61 12 178 1 1 1 P6122 D62 12 179 1 1 1 P6522 D63 12 180 1 1 1 P6222 D64 12 181 1 1 1 P6422 D65 12 182 1 1 1 P6322 D66 12 183 1 1 1 P6mm C6v1 12 184 1 1 1 P6cc C6v2 12 185 1 1 1 P63cm C6v3 12 186 1 1 1 P63mc C6v4 12 187 1 1 1 P-6m2 D3h1 12 188 1 1 1 P-6c2 D3h2 12 189 1 1 1 P-62m D3h3 12 190 1 1 1 P-62c D3h4 12 191 1 1 1 P6/mmm D6h1 24 192 1 1 1 P6/mcc D6h2 24 193 1 1 1 P63/mcm D6h3 24 194 1 1 1 P63/mmc D6h4 24 195 1 1 1 P23 T1 12 196 1 1 3 F23 T2 48 197 1 1 2 I23 T3 24 198 1 1 1 P213 T4 12 199 1 1 2 I213 T5 24 200 1 1 1 Pm-3 Th1 24 201 1 1 1 Pn-3_1 Th2 24 201 1 2 1 Pn-3_2 Th2 24 202 1 1 3 Fm-3 Th3 96 203 1 1 3 Fd-3_1 Th4 96 203 1 2 3 Fd-3_2 Th4 96 204 1 1 2 Im-3 Th5 48 205 1 1 1 Pa-3 Th6 24 206 1 1 2 Ia-3 Th7 48 207 1 1 1 P432 O1 24 208 1 1 1 P4232 O2 24 209 1 1 3 F432 O3 96 210 1 1 3 F4132 O4 96 211 1 1 2 I432 O5 48 212 1 1 1 P4332 O6 24 213 1 1 1 P4132 O7 24 214 1 1 2 I4132 O8 48 215 1 1 1 P-43m Td1 24 216 1 1 3 F-43m Td2 96 217 1 1 2 I-43m Td3 48 218 1 1 1 P-43n Td4 24 219 1 1 3 F-43c Td5 96 220 1 1 2 I-43d Td6 48 221 1 1 1 Pm-3m Oh1 48 222 1 1 1 Pn-3n_1 Oh2 48 222 1 2 1 Pn-3n_2 Oh2 48 223 1 1 1 Pm-3n Oh3 48 224 1 1 1 Pn-3m_1 Oh4 48 224 1 2 1 Pn-3m_2 Oh4 48 225 1 1 3 Fm-3m Oh5 192 226 1 1 3 Fm-3c Oh6 192 227 1 1 3 Fd-3m_1 Oh7 192 227 1 2 3 Fd-3m_2 Oh7 192 228 1 1 3 Fd-3c_1 Oh8 192 228 1 2 3 Fd-3c_2 Oh8 192 229 1 1 2 Im-3m Oh9 96 230 1 1 2 Ia-3d Oh10 96