There are only 230 "official" space groups, but you can write them differently depending on the ordering of the a/b/c/α/β/γ cell parameters.All space groups in the same row on this page refer to the same class of symmetry.
| 1 | P1 | A1 | B1 | C1 | I1 | F1 |
| 2 | P1 | A1 | B1 | C1 | I1 | F1 |
| 3 | P2 |
| 4 | P21 |
| 5 | A2 | A21 | B2 | B21 | C2 | C21 |
| 6 | Pm |
| 7 | Pa | Pb | Pc |
| 8 | Am | Ab | Ac | Bm | Ba | Bc | Cm | Ca | Cb |
| 9 | Aa | An | Bb | Bn | Cc | Cn |
| 10 | P2/m |
| 11 | P21/m |
| 12 | A2/m | A21/b | A21/c | B2/m | B21/a | B21/c | C2/m | C21/a | C21/b |
| 13 | P2/a | P2/b | P2/c |
| 14 | P21/a | P21/b | P21/c | P21/n |
| 15 | A2/a | A21/n | B2/b | B21/n | C2/c | C21/n |
| 16 | P222 |
| 17 | P2221 | P2212 | P2122 |
| 18 | P21212 | P21221 | P22121 |
| 19 | P212121 |
| 20 | A2122 | B2212 | C2221 | A212121 | B212121 | C212121 |
| 21 | A222 | B222 | C222 | A22121 | B21221 | C21212 |
| 22 | F222 | F212121 |
| 23 | I222 |
| 24 | I212121 |
| 25 | P2mm | Pm2m | Pmm2 |
| 26 | Pmc21 | P21ma | Pb21m | Pm21b | Pcm21 | P21am |
| 27 | Pcc2 | P2aa | Pb2b |
| 28 | Pma2 | P2mb | Pc2m | Pm2a | Pbm2 | P2cm |
| 29 | Pca21 | P21ab | Pc21b | Pb21a | Pbc21 | P21ca |
| 30 | Pnc2 | P2na | Pb2n | Pn2b | Pcn2 | P2an |
| 31 | Pmn21 | P21mn | Pn21m | Pm21n | Pnm21 | P21nm |
| 32 | Pba2 | P2cb | Pc2a |
| 33 | Pna21 | P21nb | Pc21n | Pn21a | Pbn21 | P21cn |
| 34 | Pnn2 | P2nn | Pn2n |
| 35 | Cmm2 | A2mm | Bm2m | Cba2 | A2cb | Bc2a |
| 36 | A21am | A21ma | A21cn | A21nb | Bb21m | Bm21b | Bn21a | Bc21n | Ccm21 | Cmc21 | Cbn21 | Cna21 |
| 37 | A2aa | A2nn | Bb2b | Bn2n | Ccc2 | Cnn2; |
| 38 | Amm2 | Am2m | Anc21 | An21b | B2mm | Bmm2 | B21na | Bcn21 | C2mm | Cm2m | Cb21n | C21an |
| 39 | Abm2 | Ac2m | Acc21 | Ab21b | B2cm | Bma2 | B21aa | Bcc21 | Cm2a | C2mb | Cb21b | C21aa |
| 40 | Ama2 | Am2a | Ann21 | An21n | B2mb | Bbm2 | B21nn | Bnn21 | Cc2m | C2cm | Cn21n | C21nn |
| 41 | Aba2 | Ac2a | Acn21 | Ab21n | B2cb | Bba2 | B21an | Bnc21 | Cc2a | C2cb | Cn21b | C21na |
| 42 | Fmm2 | Fbc21 | Fca21 | Fnn2 | Fm2m | Fb21a | Fc21b | Fn2n |
| 43 | Fdd2 | Fdd21 | F2dd | F21dd | Fd2d | Fd21d |
| 44 | Imm2 | Inn21 | I2mm | I21nn | Im2m | In21n |
| 45 | Iba2 | Icc21 | I2cb | I21aa | Ic2a | Ib21b |
| 46 | Ima2 | Inc21 | I2mb | I21na | Ic2m | Ib21n | Im2a | In21b | Ibm2 | Icn21 | I2cm | I21an |
| 47 | Pmmm |
| 48 | Pnnn |
| 49 | Pccm | Pmaa | Pbmb |
| 50 | Pban | Pncb | Pcna |
| 51 | Pmma | Pbmm | Pmcm | Pmam | Pmmb | Pcmm |
| 52 | Pnna | Pbnn | Pncn | Pnan | Pnnb | Pcnn |
| 53 | Pmna | Pbmn | Pncm | Pman | Pnmb | Pcnm |
| 54 | Pcca | Pbaa | Pbcb | Pbab | Pccb | Pcaa |
| 55 | Pbam | Pmcb | Pcma |
| 56 | Pccn | Pnaa | Pbnb |
| 57 | Pbcm | Pmca | Pbma | Pcmb | Pcam | Pmab |
| 58 | Pnnm | Pmnn | Pnmn |
| 59 | Pmmn | Pnmm | Pmnm |
| 60 | Pbcn | Pnca | Pbna | Pcnb | Pcan | Pnab |
| 61 | Pbca | Pcab |
| 62 | Pnma | Pbnm | Pmcn | Pnam | Pmnb | Pcmn |
| 63 | Cmcm | Cbnn | Amma | Ancn | Bbmm | Bnna | Bmmb | Bcnn | Ccmm | Cnan | Amam | Annb |
| 64 | Cmca | Cbnb | Abma | Accn | Bbcm | Bnaa | Bmab | Bccn | Ccmb | Cnaa | Acam | Abnb | Bbam | Bmcb |
| 65 | Cmmm | Cban | Ammm | Ancb | Bmmm | Bcna |
| 66 | Cccm | Cnnn | Amaa | Annn | Bbmb | Bnnn |
| 67 | Cmma | Cbab | Abmm | Accb | Bmcm | Bcaa | Bmam | Bcca | Cmmb | Cbaa | Acmm | Abcb |
| 68 | Ccca | Cnnb | Abaa | Acnn | Bbcb | Anan | Bbab | Bncn | Cccb | Cnna | Acaa | Abnn |
| 69 | Fmmm | Fbca | Fcab | Fnnn |
| 70 | Fddd |
| 71 | Immm | Innn |
| 72 | Ibam | Iccn | Imcb | Inaa | Icma | Ibnb |
| 73 | Ibca | Icab |
| 74 | Imma | Innb | Ibmm | Icnn | Imcm | Inan | Imam | Incn | Immb | Inna | Icmm | Ibnn |
| 75 | P4 | C4 |
| 76 | P41 | C41 |
| 77 | P42 | C42 |
| 78 | P43 | C43 |
| 79 | I4 | F4 |
| 80 | I41 | F41 |
| 81 | P4 | C4 |
| 82 | I4 | F4 |
| 83 | P4/m | C4/m |
| 84 | P42/m | C42/m |
| 85 | P4/n | C4/n |
| 86 | P42/n | C42/n |
| 87 | I4/m | F4/m |
| 88 | I41/a | F41/a |
| 89 | P422 | C422 |
| 90 | P4212 | C4221 |
| 91 | P4122 | C4122 |
| 92 | P41212 | C41221 |
| 93 | P4222 | C4222 |
| 94 | P42212 | C42221 |
| 95 | P4322 | C4322 |
| 96 | P43212 | C43221 |
| 97 | I422 | F422 |
| 98 | I4122 | F4122 |
| 99 | P4mm | C4mm |
| 100 | P4bm | C4mb |
| 101 | P42cm | C42mc |
| 102 | P42nm | C42mn |
| 103 | P4cc | C4cc |
| 104 | P4nc | C4cn |
| 105 | P42mc | C42cm |
| 106 | P42bc | C42cb |
| 107 | I4mm | F4mm |
| 108 | I4cm | F4mc |
| 109 | I41md | F41dm |
| 110 | I41cd | F41dc |
| 111 | P42m | C4m2 |
| 112 | P42c | C4c2 |
| 113 | P421m | C4m21 |
| 114 | P421c | C4c21 |
| 115 | P4m2 | C42m |
| 116 | P4c2 | C42c |
| 117 | P4bc | C42b |
| 118 | P4n2 | C42n |
| 119 | I4m2 | F42m |
| 120 | I4c2 | F42c |
| 121 | I42m | F4m2 |
| 122 | I42d | F4d2 |
| 123 | P4/mmm | C4/mmm | P4/m2/m2/m | C4/m2/m2/m |
| 124 | P4/mcc | C4/mcc | P4/m2/c2/c | C4/m2/c2/c |
| 125 | P4/nbm | C4/nmb | P4/n2/b2/m | C4/n2/m2/b |
| 126 | P4/nnc | C4/ncn | P4/n2/n2/c | C4/n2/c2/n |
| 127 | P4/mbm | C4/mmb | P4/m21/b2/m | C4/m2/m21/b |
| 128 | P4/mnc | C4/mcn | P4/m21/n2/c | C4/m2/c21/n |
| 129 | P4/nmm | C4/nmm | P4/n21/m2/m | C4/n2/m21/m |
| 130 | P4/ncc | C4/ncc | P4/n21/c2/c | C4/n2/c21/c |
| 131 | P42/mmc | C42/mcm | P42/m2/m2/c | C42/m2/c2/m |
| 132 | P42/mcm | C42/mmc | P42/m2/c2/m | C42/m2/m2/c |
| 133 | P42/nbc | C42/ncb | P42/n2/b2/c | C42/n2/c2/b |
| 134 | P42/nnm | C42/nmn | P42/n2/n2/m | C42/n2/m2/n |
| 135 | P42/mbc | C42/mcb | P42/m21/b2/c | C42/m2/c21/b |
| 136 | P42/mnm | C42/mmn | P42/m21/n2/m | C42/m2/m21/n |
| 137 | P42/nmc | C42/ncm | P42/n21/m2/c | C42/n2/c21/m |
| 138 | P42/ncm | C42/nmc | P42/n21/c2/m | C42/n2/m21/c |
| 139 | I4/mmm | F4/mmm | I4/m2/m2/m | F4/m2/m2/m |
| 140 | I4/mcm | F4/mmc | I4/m2/c2/m | F4/m2/m2/c |
| 141 | I41/amd | F41/adm | I41/a2/m2/d | F41/a2/d2/m |
| 142 | I41/acd | F41/adc | I41/a2/c2/d | F41/a2/d2/c |
| 143 | P3 |
| 144 | P31 |
| 145 | P32 |
| 146 | R3 |
| 147 | P3 |
| 148 | R3 |
| 149 | P312 |
| 150 | P321 |
| 151 | P3112 |
| 152 | P3121 |
| 153 | P3212 |
| 154 | P3221 |
| 155 | R32 |
| 156 | P3m1 |
| 157 | P31m |
| 158 | P3c1 |
| 159 | P31c |
| 160 | R3m |
| 161 | R3c |
| 162 | P31m | P312/m |
| 163 | P31c | P312/c |
| 164 | P3m1 | P32/m1 |
| 165 | P3c1 | P32/c1 |
| 166 | R3m | R32/m |
| 167 | R3c | R32/c |
| 168 | P6 |
| 169 | P61 |
| 170 | P65 |
| 171 | P62 |
| 172 | P64 |
| 173 | P63 |
| 174 | P6 |
| 175 | P6/m |
| 176 | P63/m |
| 177 | P622 |
| 178 | P6122 |
| 179 | P6522 |
| 180 | P6222 |
| 181 | P6422 |
| 182 | P6322 |
| 183 | P6mm |
| 184 | P6cc |
| 185 | P63cm |
| 186 | P63mc |
| 187 | P6m2 |
| 188 | P6c2 |
| 189 | P62m |
| 190 | P62c |
| 191 | P6/mmm | P6/m2/m2/m |
| 192 | P6/mcc | P6/m2/c2/c |
| 193 | P63/mcm | P63/m2/c2/m |
| 194 | P63/mmc | P63/m2/m2/c |
| 195 | P23 |
| 196 | F23 |
| 197 | I23 |
| 198 | P213 |
| 199 | I213 |
| 200 | Pm3 | P2/m3 |
| 201 | Pn3 | P2/n3 |
| 202 | Fm3 | F2/m3 |
| 203 | Fd3 | F2/d3 |
| 204 | Im3 | I2/m3 |
| 205 | Pa3 | P21/a3 |
| 206 | Ia3 | I21/a3 |
| 207 | P432 |
| 208 | P4232 |
| 209 | F432 |
| 210 | F4132 |
| 211 | I432 |
| 212 | P4332 |
| 213 | P4132 |
| 214 | I4132 |
| 215 | P43m |
| 216 | F43m |
| 217 | I43m |
| 218 | P43n |
| 219 | F43c |
| 220 | I43d |
| 221 | Pm3m | P4/m32/m |
| 222 | Pn3n | P4/n32/n |
| 223 | Pm3n | P41/m32/n |
| 224 | Pn3m | P41/n32/m |
| 225 | Fm3m | F4/m32/m |
| 226 | Fm3c | F4/m32/c |
| 227 | Fd3m | F41/d32/m |
| 228 | Fd3c | F41/d32/c |
| 229 | Im3m | I4/m32/m |
| 230 | Ia3d | I41/a32/d | Ia3d |
Space Groups in AMCSD but not in RRUFF|
| I2/m | B21/d | C2/a | B21/m | Fm3m | F2/d | I2/c | P2/n | I2/a | Fd3m |
| Pn | F2/m | F2mm | Imab | Pm3m | F2 | I2 | Fd | Im3m | A2/n |
| Ib | Ia | Im | Pm:1 | C21/d | P4b2 | I2/b | B2/n | |
