Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
1464 conjugacy classes of subgroups.
The subgroup lattice has 1084 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11674709 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10950092 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10948201 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10877380 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10714844 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10714843 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10714455 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10714454 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10712635 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10712107 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10711927 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10711923 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10711772 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10711504 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C3×#12934 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #500349 | — | 3 | 1 | no | maximal, Sylow |
| 17 | #85891 | — | 2 | 1 | no | — |
| 18 | C3×#2912 | C22 | 1 | 1 | yes | characteristic |
| 19 | #83799 | C22 | 1 | 1 | yes | characteristic |
| 20 | #83787 | C22 | 1 | 1 | yes | characteristic |
| 21 | #82566 | — | 2 | 1 | no | — |
| 22 | #82007 | C22 | 1 | 1 | yes | characteristic |
| 23 | #79252 | C22 | 1 | 1 | yes | characteristic |
| 24 | #79239 | — | 2 | 1 | no | — |
| 25 | #79227 | — | 2 | 2 | no | — |
| 26 | #79225 | — | 2 | 2 | no | — |
| 27 | #79219 | — | 2 | 1 | no | — |
| 28 | #79192 | — | 2 | 2 | no | — |
| 29 | #79183 | C22 | 1 | 1 | yes | characteristic |
| 30 | #79171 | C22 | 1 | 1 | yes | characteristic |
| 31 | #79127 | — | 2 | 2 | no | — |
| 32 | #79116 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#4869 | C22 | 1 | 1 | yes | characteristic |
| 34 | C3×#2155 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×C3×#365 | C22 | 1 | 1 | yes | characteristic |
| 36 | C3×#2117 | C22 | 1 | 1 | yes | characteristic |
| 37 | C3×#1814 | C22 | 1 | 1 | yes | characteristic |
| 38 | #72013 | C22 | 1 | 1 | yes | characteristic |
| 39 | #72006 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#4516 | C22 | 1 | 1 | yes | characteristic |
| 41 | #71440 | C22 | 1 | 1 | yes | characteristic |
| 42 | #71435 | C22 | 1 | 1 | yes | characteristic |
| 43 | #71427 | C22 | 1 | 1 | yes | characteristic |
| 44 | #70705 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#4495 | C22 | 1 | 1 | yes | characteristic |
| 46 | #70685 | C22 | 1 | 1 | yes | characteristic |
| 47 | #70664 | C22 | 1 | 1 | yes | characteristic |
| 48 | #70663 | C22 | 1 | 1 | yes | characteristic |
| 49 | #70652 | C22 | 1 | 1 | yes | characteristic |
| 50 | #70650 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×#4487 | C22 | 1 | 1 | yes | characteristic |
| 52 | #70417 | — | 2 | 1 | no | — |
| 53 | #70405 | — | 2 | 1 | no | — |
| 54 | #69313 | — | 2 | 2 | no | — |
| 55 | #69313 | — | 2 | 2 | no | — |
| 56 | #69312 | — | 2 | 2 | no | — |
| 57 | D3×#365 | — | 2 | 2 | no | — |
| 58 | #69034 | — | 2 | 1 | no | — |
| 59 | #69024 | — | 2 | 1 | no | — |
| 60 | C3×#1386 | C22 | 1 | 1 | yes | characteristic |
| 61 | C3×#1384 | C22 | 1 | 1 | yes | characteristic |
| 62 | #67818 | C22 | 1 | 1 | yes | characteristic |
| 63 | #67811 | C22 | 1 | 1 | yes | characteristic |
| 64 | #67811 | C22 | 1 | 1 | yes | characteristic |
| 65 | #67725 | C22 | 1 | 1 | yes | characteristic |
| 66 | #67725 | C22 | 1 | 1 | yes | characteristic |
| 67 | #67721 | C22 | 1 | 1 | yes | characteristic |
| 68 | #61293 | — | 3 | 1 | no | — |
| 69 | #33657 | — | 3 | 1 | no | — |
| 70 | #33404 | — | 3 | 1 | no | — |
| 71 | #27694 | — | 3 | 1 | no | — |
| 72 | #13459 | — | 3 | 1 | no | — |
| 73 | #13459 | — | 3 | 1 | no | — |
| 74 | #13396 | — | 3 | 1 | no | — |
| 75 | #13396 | — | 3 | 1 | no | — |
| 76 | #13074 | — | 3 | 1 | no | — |
| 77 | #12988 | — | 3 | 1 | no | — |
| 78 | #12956 | — | 3 | 1 | no | — |
| 79 | #12956 | — | 3 | 1 | no | — |
| 80 | #12934 | — | 3 | 1 | no | — |
| 81 | #12934 | D3 | 1 | 1 | yes | characteristic, complemented |
| 82 | #12873 | — | 3 | 1 | no | — |
| 83 | C2×C3×#131 | C23 | 1 | 1 | yes | characteristic |
| 84 | C3×#520 | — | 2 | 1 | no | — |
| 85 | #5832 | D4 | 1 | 1 | yes | characteristic |
| 86 | #5830 | — | 2 | 1 | no | — |
| 87 | #5745 | — | 2 | 1 | no | — |
| 88 | C22×D24 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×#901 | C23 | 1 | 1 | yes | characteristic |
| 90 | #5585 | — | 4 | 1 | no | — |
| 91 | #5568 | — | 4 | 1 | no | — |
| 92 | #5560 | — | 4 | 2 | no | — |
| 93 | #5559 | — | 4 | 1 | no | — |
| 94 | #5553 | — | 4 | 1 | no | — |
| 95 | #5547 | — | 4 | 2 | no | — |
| 96 | #5532 | — | 2 | 2 | no | — |
| 97 | #5530 | — | 2 | 2 | no | — |
| 98 | #5525 | — | 2 | 1 | no | — |
| 99 | #5517 | — | 2 | 1 | no | — |
| 100 | #5514 | — | 2 | 2 | no | — |
| 101 | #5507 | — | 2 | 2 | no | — |
| 102 | #5504 | — | 2 | 1 | no | — |
| 103 | C2×#893 | — | 2 | 1 | no | — |
| 104 | C2×C3×M32 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×C3×M32 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C3×#108 | C23 | 1 | 1 | yes | characteristic |
| 107 | C3×#428 | — | 2 | 1 | no | — |
| 108 | C3×#428 | — | 2 | 2 | no | — |
| 109 | C3×#427 | — | 2 | 1 | no | — |
| 110 | C3×#427 | C23 | 1 | 1 | yes | characteristic |
| 111 | C3×#427 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×C3×#106 | — | 2 | 1 | no | — |
| 113 | C2×C3×#106 | C23 | 1 | 1 | yes | characteristic |
| 114 | C3×#421 | — | 2 | 1 | no | — |
| 115 | #5236 | — | 2 | 1 | no | — |
| 116 | #5234 | D4 | 1 | 1 | yes | characteristic |
| 117 | #5135 | — | 2 | 1 | no | — |
| 118 | #5135 | — | 2 | 1 | no | — |
| 119 | #5131 | — | 2 | 1 | no | — |
| 120 | #5129 | D4 | 1 | 1 | yes | characteristic |
| 121 | #5127 | — | 2 | 2 | no | — |
| 122 | #5124 | — | 2 | 1 | no | — |
| 123 | #5119 | — | 2 | 1 | no | — |
| 124 | #5118 | D4 | 1 | 1 | yes | characteristic |
| 125 | #5115 | — | 2 | 2 | no | — |
| 126 | #5111 | — | 2 | 2 | no | — |
| 127 | C2×#819 | C23 | 1 | 1 | yes | characteristic |
| 128 | #5106 | C23 | 1 | 1 | yes | characteristic |
| 129 | #5106 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×#815 | C23 | 1 | 1 | yes | characteristic |
| 131 | C2×#812 | C23 | 1 | 1 | yes | characteristic |
| 132 | C2×#812 | C23 | 1 | 1 | yes | characteristic |
| 133 | #5006 | — | 2 | 1 | no | — |
| 134 | #5003 | — | 2 | 2 | no | — |
| 135 | #5003 | — | 2 | 2 | no | — |
| 136 | #5001 | — | 2 | 1 | no | — |
| 137 | #4999 | — | 2 | 1 | no | — |
| 138 | #4998 | — | 2 | 1 | no | — |
| 139 | #4968 | — | 2 | 2 | no | — |
| 140 | #4967 | — | 2 | 2 | no | — |
| 141 | C2×#809 | — | 2 | 1 | no | — |
| 142 | #4964 | — | 2 | 1 | no | — |
| 143 | #4907 | — | 2 | 2 | no | — |
| 144 | D3×M32 | — | 2 | 2 | no | — |
| 145 | #4901 | — | 2 | 2 | no | — |
| 146 | #4893 | — | 2 | 2 | no | — |
| 147 | D3×#108 | — | 2 | 2 | no | — |
| 148 | #4891 | — | 2 | 2 | no | — |
| 149 | #4890 | — | 2 | 2 | no | — |
| 150 | #4885 | — | 2 | 2 | no | — |
| 151 | #4883 | — | 2 | 2 | no | — |
| 152 | #4882 | — | 2 | 2 | no | — |
| 153 | #4876 | — | 2 | 1 | no | — |
| 154 | #4876 | — | 2 | 1 | no | — |
| 155 | #4871 | — | 2 | 2 | no | — |
| 156 | #4870 | — | 2 | 2 | no | — |
| 157 | #4869 | — | 2 | 2 | no | — |
| 158 | #4869 | — | 2 | 2 | no | — |
| 159 | #4866 | — | 2 | 2 | no | — |
| 160 | #4865 | D4 | 1 | 2 | yes | — |
| 161 | #4865 | D4 | 1 | 2 | yes | — |
| 162 | #4863 | — | 2 | 2 | no | — |
| 163 | #4861 | — | 2 | 2 | no | — |
| 164 | #4860 | D4 | 1 | 2 | yes | — |
| 165 | D3×#106 | D4 | 1 | 2 | yes | — |
| 166 | #4856 | — | 2 | 1 | no | — |
| 167 | #4856 | — | 2 | 1 | no | — |
| 168 | C3×#365 | — | 2 | 2 | no | — |
| 169 | C3×#365 | — | 2 | 1 | no | — |
| 170 | C3×#365 | — | 2 | 1 | no | — |
| 171 | C3×#350 | — | 2 | 2 | no | — |
| 172 | C3×#344 | — | 2 | 1 | no | — |
| 173 | #4561 | — | 2 | 2 | no | — |
| 174 | #4559 | — | 2 | 1 | no | — |
| 175 | #4555 | — | 2 | 1 | no | — |
| 176 | #4532 | — | 2 | 1 | no | — |
| 177 | #4531 | — | 2 | 1 | no | — |
| 178 | #4516 | — | 2 | 2 | no | — |
| 179 | #4514 | — | 2 | 2 | no | — |
| 180 | #4513 | — | 2 | 1 | no | — |
| 181 | #4513 | — | 2 | 1 | no | — |
| 182 | #4509 | — | 2 | 2 | no | — |
| 183 | #4495 | — | 2 | 2 | no | — |
| 184 | #4494 | — | 2 | 1 | no | — |
| 185 | #4494 | — | 2 | 1 | no | — |
| 186 | #4491 | — | 2 | 2 | no | — |
| 187 | #4487 | — | 2 | 2 | no | — |
| 188 | #4487 | — | 2 | 1 | no | — |
| 189 | #4487 | — | 2 | 1 | no | — |
| 190 | #3506 | — | 6 | 1 | no | — |
| 191 | #3407 | — | 3 | 1 | no | — |
| 192 | #3347 | — | 6 | 2 | no | — |
| 193 | #3347 | — | 6 | 2 | no | — |
| 194 | #3345 | — | 6 | 2 | no | — |
| 195 | #3345 | — | 6 | 2 | no | — |
| 196 | #3162 | — | 3 | 1 | no | — |
| 197 | #3096 | — | 6 | 1 | no | — |
| 198 | #3096 | — | 6 | 1 | no | — |
| 199 | #3077 | — | 6 | 1 | no | — |
| 200 | #3058 | — | 3 | 1 | no | — |
| 201 | #3058 | — | 3 | 1 | no | — |
| 202 | C2×#442 | — | 3 | 1 | no | — |
| 203 | #2932 | — | 3 | 1 | no | — |
| 204 | #2916 | — | 3 | 1 | no | — |
| 205 | #2912 | — | 3 | 1 | no | — |
| 206 | #2912 | C2×D3 | 1 | 1 | yes | characteristic |
| 207 | #2238 | — | 6 | 2 | no | — |
| 208 | #2238 | — | 6 | 2 | no | — |
| 209 | #2155 | — | 3 | 1 | no | — |
| 210 | #2155 | — | 3 | 1 | no | — |
| 211 | #2155 | — | 3 | 1 | no | — |
| 212 | #2155 | — | 6 | 2 | no | — |
| 213 | #2155 | C2×D3 | 1 | 1 | yes | characteristic |
| 214 | C2×#365 | — | 3 | 1 | no | — |
| 215 | C2×#365 | — | 6 | 2 | no | — |
| 216 | C2×#365 | C2×D3 | 1 | 1 | yes | characteristic |
| 217 | C2×#361 | — | 3 | 1 | no | — |
| 218 | C2×#361 | — | 3 | 1 | no | — |
| 219 | #2140 | — | 3 | 1 | no | — |
| 220 | #2140 | — | 3 | 1 | no | — |
| 221 | #2117 | — | 3 | 1 | no | — |
| 222 | #2117 | C2×D3 | 1 | 1 | yes | characteristic |
| 223 | #2115 | — | 3 | 1 | no | — |
| 224 | #2102 | — | 6 | 1 | no | — |
| 225 | #2098 | — | 6 | 1 | no | — |
| 226 | #1946 | — | 3 | 1 | no | — |
| 227 | #1946 | — | 3 | 1 | no | — |
| 228 | #1884 | — | 6 | 1 | no | — |
| 229 | #1868 | — | 6 | 1 | no | — |
| 230 | #1814 | — | 3 | 1 | no | — |
| 231 | #1814 | C2×D3 | 1 | 1 | yes | characteristic |
| 232 | #1812 | — | 3 | 1 | no | — |
| 233 | #1386 | — | 3 | 1 | no | — |
| 234 | #1386 | C2×D3 | 1 | 1 | yes | characteristic |
| 235 | #1384 | — | 3 | 1 | no | — |
| 236 | #1384 | — | 3 | 1 | no | — |
| 237 | #1384 | — | 3 | 1 | no | — |
| 238 | #1384 | C2×D3 | 1 | 1 | yes | characteristic |
| 239 | #1375 | — | 3 | 1 | no | — |
| 240 | #1375 | — | 3 | 1 | no | — |
| 241 | C2×C3×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C2×#235 | — | 4 | 2 | no | — |
| 243 | C2×#235 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C22×D12 | — | 2 | 1 | no | — |
| 245 | C22×C4×D3 | — | 4 | 1 | no | — |
| 246 | C3×#131 | — | 2 | 1 | no | — |
| 247 | C3×#131 | — | 2 | 1 | no | — |
| 248 | C3×#131 | — | 2 | 1 | no | — |
| 249 | C3×#131 | — | 2 | 1 | no | — |
| 250 | C2×C3×M16 | — | 2 | 1 | no | — |
| 251 | C2×C3×M16 | — | 2 | 1 | no | — |
| 252 | C2×C3×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C22×C3×C8 | — | 2 | 1 | no | — |
| 254 | C22×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 255 | C3×C4×Q8 | — | 4 | 1 | no | — |
| 256 | C3×C4×D4 | — | 4 | 2 | no | — |
| 257 | C3×C4×D4 | — | 4 | 1 | no | — |
| 258 | C3×#117 | — | 2 | 2 | no | — |
| 259 | C3×#117 | — | 2 | 1 | no | — |
| 260 | C3×#117 | — | 2 | 1 | no | — |
| 261 | C2×C3×C4⋊C4 | — | 2 | 2 | no | — |
| 262 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 263 | #947 | — | 4 | 1 | no | — |
| 264 | #947 | SD16 | 1 | 1 | yes | characteristic |
| 265 | #944 | SD16 | 1 | 1 | yes | characteristic |
| 266 | #940 | — | 4 | 1 | no | — |
| 267 | #940 | SD16 | 1 | 1 | yes | characteristic |
| 268 | #939 | — | 2 | 2 | no | — |
| 269 | #937 | — | 4 | 2 | no | — |
| 270 | #936 | SD16 | 1 | 1 | yes | characteristic |
| 271 | #930 | — | 2 | 2 | no | — |
| 272 | #930 | — | 2 | 2 | no | — |
| 273 | #930 | — | 4 | 2 | no | — |
| 274 | #929 | — | 4 | 2 | no | — |
| 275 | C4×#67 | — | 2 | 2 | no | — |
| 276 | C4×#67 | — | 4 | 2 | no | — |
| 277 | C4×#67 | — | 4 | 2 | no | — |
| 278 | C2×(C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 279 | #926 | — | 2 | 1 | no | — |
| 280 | #926 | — | 2 | 1 | no | — |
| 281 | C2×C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 282 | C2×#208 | — | 2 | 1 | no | — |
| 283 | C2×#208 | C2×D4 | 1 | 1 | yes | characteristic |
| 284 | C22×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 285 | #907 | — | 8 | 1 | no | — |
| 286 | D3×M16 | — | 4 | 2 | no | — |
| 287 | C2×D24 | — | 2 | 1 | no | — |
| 288 | C2×D24 | — | 2 | 1 | no | — |
| 289 | C2×D24 | — | 2 | 1 | no | — |
| 290 | C2×D24 | — | 2 | 1 | no | — |
| 291 | C2×D24 | — | 2 | 1 | no | — |
| 292 | C2×D24 | C2×D4 | 1 | 2 | yes | — |
| 293 | #901 | — | 2 | 1 | no | — |
| 294 | #901 | — | 2 | 1 | no | — |
| 295 | #901 | — | 2 | 1 | no | — |
| 296 | #901 | — | 2 | 1 | no | — |
| 297 | #901 | — | 8 | 1 | no | — |
| 298 | C2×ΓL(1,𝔽25) | C2×D4 | 1 | 2 | yes | — |
| 299 | C2×D3×C8 | C2×D4 | 1 | 2 | yes | — |
| 300 | #898 | — | 4 | 2 | no | — |
| 301 | #896 | — | 4 | 2 | no | — |
| 302 | #895 | — | 2 | 2 | no | — |
| 303 | #895 | — | 2 | 2 | no | — |
| 304 | #894 | — | 4 | 2 | no | — |
| 305 | #894 | — | 4 | 2 | no | — |
| 306 | #893 | — | 2 | 2 | no | — |
| 307 | #893 | — | 2 | 2 | no | — |
| 308 | #893 | — | 4 | 1 | no | — |
| 309 | #893 | — | 4 | 1 | no | — |
| 310 | #893 | — | 4 | 1 | no | — |
| 311 | #892 | — | 2 | 2 | no | — |
| 312 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 313 | #890 | — | 2 | 1 | no | — |
| 314 | #890 | — | 2 | 1 | no | — |
| 315 | #888 | — | 2 | 1 | no | — |
| 316 | #888 | — | 2 | 1 | no | — |
| 317 | #887 | — | 4 | 1 | no | — |
| 318 | #885 | — | 4 | 2 | no | — |
| 319 | #884 | — | 4 | 2 | no | — |
| 320 | #884 | — | 4 | 2 | no | — |
| 321 | #883 | — | 4 | 2 | no | — |
| 322 | #882 | — | 4 | 2 | no | — |
| 323 | #878 | — | 4 | 1 | no | — |
| 324 | #878 | — | 4 | 1 | no | — |
| 325 | #876 | — | 4 | 2 | no | — |
| 326 | #875 | — | 4 | 2 | no | — |
| 327 | #875 | — | 4 | 1 | no | — |
| 328 | #874 | — | 4 | 1 | no | — |
| 329 | C4×D12 | — | 4 | 2 | no | — |
| 330 | #872 | — | 4 | 2 | no | — |
| 331 | C4×Dic6 | — | 4 | 1 | no | — |
| 332 | C4×Dic6 | — | 4 | 1 | no | — |
| 333 | C3×M32 | — | 2 | 1 | no | — |
| 334 | C3×M32 | — | 2 | 1 | no | — |
| 335 | C3×M32 | — | 2 | 1 | no | — |
| 336 | C3×M32 | — | 2 | 1 | no | — |
| 337 | C2×C3×C16 | — | 2 | 1 | no | — |
| 338 | C2×C3×C16 | #41 | 1 | 2 | yes | complemented |
| 339 | C3×#108 | — | 2 | 1 | no | — |
| 340 | C3×#108 | — | 2 | 1 | no | — |
| 341 | C3×#107 | — | 2 | 2 | no | — |
| 342 | C3×#107 | — | 2 | 1 | no | — |
| 343 | C3×#107 | — | 2 | 1 | no | — |
| 344 | C3×#106 | — | 2 | 2 | no | — |
| 345 | C3×#106 | — | 2 | 1 | no | — |
| 346 | C3×#106 | — | 2 | 1 | no | — |
| 347 | C3×#106 | C2×D4 | 1 | 1 | yes | characteristic |
| 348 | C3×#106 | C2×D4 | 1 | 1 | yes | characteristic |
| 349 | C3×#106 | C2×D4 | 1 | 2 | yes | — |
| 350 | C3×#104 | — | 8 | 1 | no | — |
| 351 | #837 | — | 8 | 1 | no | — |
| 352 | #830 | — | 2 | 2 | no | — |
| 353 | #822 | — | 4 | 2 | no | — |
| 354 | #821 | — | 2 | 2 | no | — |
| 355 | #821 | — | 2 | 2 | no | — |
| 356 | (C2×D3)⋊C8 | — | 2 | 2 | no | — |
| 357 | #819 | — | 2 | 1 | no | — |
| 358 | #819 | — | 2 | 1 | no | — |
| 359 | #818 | — | 2 | 1 | no | — |
| 360 | #818 | — | 2 | 1 | no | — |
| 361 | #817 | — | 2 | 1 | no | — |
| 362 | #817 | C2×D4 | 1 | 1 | yes | characteristic |
| 363 | #817 | C2×D4 | 1 | 1 | yes | characteristic |
| 364 | #815 | — | 2 | 1 | no | — |
| 365 | #815 | — | 2 | 1 | no | — |
| 366 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 367 | Dic3⋊C8 | — | 8 | 1 | no | — |
| 368 | #812 | — | 2 | 1 | no | — |
| 369 | #812 | — | 2 | 1 | no | — |
| 370 | #812 | — | 2 | 1 | no | — |
| 371 | #812 | — | 2 | 1 | no | — |
| 372 | C2×C3⋊C16 | — | 2 | 1 | no | — |
| 373 | C2×C3⋊C16 | #41 | 1 | 2 | yes | complemented |
| 374 | #809 | — | 2 | 2 | no | — |
| 375 | #809 | — | 2 | 2 | no | — |
| 376 | #809 | — | 2 | 2 | no | — |
| 377 | #809 | — | 2 | 2 | no | — |
| 378 | #808 | — | 2 | 1 | no | — |
| 379 | #808 | — | 2 | 1 | no | — |
| 380 | #808 | — | 2 | 2 | no | — |
| 381 | #807 | — | 2 | 1 | no | — |
| 382 | #807 | — | 2 | 1 | no | — |
| 383 | #807 | — | 2 | 2 | no | — |
| 384 | #806 | — | 4 | 2 | no | — |
| 385 | C4⋊(C3⋊C8) | — | 8 | 1 | no | — |
| 386 | #798 | — | 2 | 4 | no | — |
| 387 | D3×C16 | — | 2 | 4 | no | — |
| 388 | C22×D8 | — | 3 | 1 | no | — |
| 389 | #568 | — | 6 | 1 | no | — |
| 390 | C2×#131 | — | 3 | 1 | no | — |
| 391 | C2×#131 | C22×D3 | 1 | 1 | yes | characteristic |
| 392 | #559 | — | 12 | 1 | no | — |
| 393 | #559 | — | 12 | 1 | no | — |
| 394 | #556 | — | 12 | 1 | no | — |
| 395 | #555 | — | 6 | 2 | no | — |
| 396 | #553 | — | 6 | 2 | no | — |
| 397 | #553 | — | 6 | 2 | no | — |
| 398 | #550 | — | 12 | 1 | no | — |
| 399 | #547 | — | 6 | 2 | no | — |
| 400 | #538 | — | 12 | 2 | no | — |
| 401 | #535 | — | 6 | 1 | no | — |
| 402 | #535 | — | 6 | 1 | no | — |
| 403 | #533 | — | 6 | 1 | no | — |
| 404 | #532 | — | 3 | 1 | no | — |
| 405 | #525 | — | 12 | 2 | no | — |
| 406 | #520 | — | 2 | 1 | no | — |
| 407 | #520 | — | 6 | 1 | no | — |
| 408 | C2×C4×D4 | — | 6 | 1 | no | — |
| 409 | #504 | — | 6 | 2 | no | — |
| 410 | #504 | — | 6 | 2 | no | — |
| 411 | C2×M32 | — | 3 | 1 | no | — |
| 412 | C2×M32 | — | 3 | 1 | no | — |
| 413 | C2×M32 | — | 6 | 2 | no | — |
| 414 | C2×M32 | C22×D3 | 1 | 1 | yes | characteristic |
| 415 | C2×M32 | C22×D3 | 1 | 1 | yes | characteristic |
| 416 | #501 | — | 6 | 1 | no | — |
| 417 | #501 | — | 6 | 1 | no | — |
| 418 | #501 | — | 6 | 1 | no | — |
| 419 | #501 | — | 6 | 1 | no | — |
| 420 | #482 | — | 6 | 2 | no | — |
| 421 | #482 | — | 6 | 2 | no | — |
| 422 | #482 | — | 6 | 2 | no | — |
| 423 | #482 | — | 6 | 2 | no | — |
| 424 | #481 | — | 6 | 2 | no | — |
| 425 | #481 | — | 6 | 2 | no | — |
| 426 | #480 | — | 6 | 2 | no | — |
| 427 | #480 | — | 6 | 2 | no | — |
| 428 | #478 | — | 6 | 2 | no | — |
| 429 | #478 | — | 6 | 2 | no | — |
| 430 | #476 | — | 6 | 2 | no | — |
| 431 | #474 | — | 6 | 2 | no | — |
| 432 | #469 | — | 3 | 2 | no | — |
| 433 | #469 | — | 3 | 2 | no | — |
| 434 | #469 | — | 6 | 1 | no | — |
| 435 | #469 | — | 6 | 1 | no | — |
| 436 | #466 | — | 6 | 2 | no | — |
| 437 | #466 | — | 6 | 2 | no | — |
| 438 | #442 | — | 6 | 2 | no | — |
| 439 | #442 | — | 6 | 2 | no | — |
| 440 | #435 | — | 6 | 2 | no | — |
| 441 | #435 | — | 6 | 2 | no | — |
| 442 | #430 | — | 6 | 2 | no | — |
| 443 | #430 | — | 6 | 1 | no | — |
| 444 | C2×#108 | — | 3 | 1 | no | — |
| 445 | C2×#108 | — | 6 | 2 | no | — |
| 446 | C2×#108 | C22×D3 | 1 | 1 | yes | characteristic |
| 447 | #428 | — | 2 | 1 | no | — |
| 448 | #428 | — | 2 | 2 | no | — |
| 449 | #428 | — | 6 | 2 | no | — |
| 450 | #428 | — | 6 | 1 | no | — |
| 451 | #427 | — | 2 | 1 | no | — |
| 452 | #427 | — | 3 | 1 | no | — |
| 453 | #427 | — | 3 | 2 | no | — |
| 454 | #427 | — | 3 | 1 | no | — |
| 455 | #427 | — | 6 | 1 | no | — |
| 456 | #427 | C22×D3 | 1 | 1 | yes | characteristic |
| 457 | #427 | C22×D3 | 1 | 1 | yes | characteristic |
| 458 | C2×#106 | — | 2 | 1 | no | — |
| 459 | C2×#106 | — | 3 | 2 | no | — |
| 460 | C2×#106 | C22×D3 | 1 | 1 | yes | characteristic |
| 461 | #424 | — | 6 | 1 | no | — |
| 462 | #424 | — | 6 | 1 | no | — |
| 463 | #423 | — | 3 | 1 | no | — |
| 464 | #421 | — | 2 | 1 | no | — |
| 465 | #421 | — | 6 | 1 | no | — |
| 466 | #418 | — | 6 | 1 | no | — |
| 467 | #418 | — | 6 | 1 | no | — |
| 468 | C2×#102 | — | 6 | 1 | no | — |
| 469 | #410 | — | 6 | 1 | no | — |
| 470 | #408 | — | 3 | 1 | no | — |
| 471 | #408 | — | 3 | 1 | no | — |
| 472 | C2×#97 | — | 3 | 1 | no | — |
| 473 | #365 | — | 2 | 2 | no | — |
| 474 | #365 | — | 2 | 1 | no | — |
| 475 | #365 | — | 2 | 1 | no | — |
| 476 | #365 | — | 6 | 1 | no | — |
| 477 | #365 | — | 6 | 1 | no | — |
| 478 | #365 | — | 6 | 1 | no | — |
| 479 | #365 | — | 6 | 1 | no | — |
| 480 | #365 | — | 6 | 2 | no | — |
| 481 | #365 | — | 6 | 1 | no | — |
| 482 | #365 | — | 6 | 1 | no | — |
| 483 | #361 | — | 6 | 2 | no | — |
| 484 | #361 | — | 6 | 2 | no | — |
| 485 | #357 | — | 6 | 2 | no | — |
| 486 | #357 | — | 6 | 2 | no | — |
| 487 | #350 | — | 2 | 2 | no | — |
| 488 | #350 | — | 6 | 2 | no | — |
| 489 | #349 | — | 6 | 2 | no | — |
| 490 | #344 | — | 2 | 1 | no | — |
| 491 | #344 | — | 6 | 1 | no | — |
| 492 | #339 | — | 6 | 1 | no | — |
| 493 | #339 | — | 6 | 1 | no | — |
| 494 | H(3,ℤ/4) | — | 6 | 1 | no | — |
| 495 | C23×D3 | — | 4 | 1 | no | — |
| 496 | C3×#41 | — | 2 | 1 | no | — |
| 497 | C3×#41 | — | 2 | 1 | no | — |
| 498 | C3×#41 | — | 2 | 1 | no | — |
| 499 | C3×#41 | — | 2 | 1 | no | — |
| 500 | C2×C3×Q8 | C2×SD16 | 1 | 1 | yes | characteristic |
| 501 | C2×C3×D4 | — | 2 | 1 | no | — |
| 502 | C2×C3×D4 | C2×SD16 | 1 | 1 | yes | characteristic |
| 503 | C22×C3×C4 | — | 2 | 1 | no | — |
| 504 | C22×C3×C4 | — | 4 | 2 | no | — |
| 505 | C22×C3×C4 | — | 4 | 1 | no | — |
| 506 | C22×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 507 | C2×#67 | — | 2 | 2 | no | — |
| 508 | C2×#67 | — | 4 | 2 | no | — |
| 509 | C2×#67 | — | 4 | 2 | no | — |
| 510 | C2×#67 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 511 | C22×Dic3 | — | 2 | 1 | no | — |
| 512 | #235 | — | 2 | 1 | no | — |
| 513 | #235 | — | 2 | 1 | no | — |
| 514 | #235 | — | 2 | 1 | no | — |
| 515 | #235 | — | 2 | 1 | no | — |
| 516 | #235 | — | 16 | 4 | no | — |
| 517 | C2×D12 | — | 2 | 2 | no | — |
| 518 | C2×D12 | — | 4 | 1 | no | — |
| 519 | C2×D12 | — | 4 | 1 | no | — |
| 520 | C2×D12 | — | 4 | 1 | no | — |
| 521 | C2×D12 | — | 4 | 1 | no | — |
| 522 | C2×D12 | — | 4 | 1 | no | — |
| 523 | C2×D12 | — | 4 | 2 | no | — |
| 524 | C2×D12 | — | 4 | 2 | no | — |
| 525 | C2×D12 | C2×SD16 | 1 | 1 | yes | characteristic |
| 526 | C2×C4×D3 | — | 4 | 2 | no | — |
| 527 | C2×C4×D3 | — | 4 | 2 | no | — |
| 528 | C2×C4×D3 | — | 4 | 2 | no | — |
| 529 | C2×C4×D3 | — | 16 | 2 | no | — |
| 530 | C2×C4×D3 | #120 | 1 | 2 | yes | — |
| 531 | C2×Dic6 | — | 4 | 1 | no | — |
| 532 | C2×Dic6 | — | 4 | 1 | no | — |
| 533 | C2×Dic6 | C2×SD16 | 1 | 1 | yes | characteristic |
| 534 | C3×M16 | — | 2 | 1 | no | — |
| 535 | C3×M16 | — | 2 | 1 | no | — |
| 536 | C3×M16 | — | 4 | 1 | no | — |
| 537 | C3×M16 | — | 4 | 1 | no | — |
| 538 | C3×M16 | — | 4 | 1 | no | — |
| 539 | C3×M16 | — | 4 | 1 | no | — |
| 540 | C2×C3×C8 | — | 2 | 1 | no | — |
| 541 | C2×C3×C8 | — | 4 | 1 | no | — |
| 542 | C2×C3×C8 | — | 4 | 1 | no | — |
| 543 | C2×C3×C8 | — | 4 | 1 | no | — |
| 544 | C2×C3×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 545 | C2×C3×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 546 | C2×C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 547 | C2×C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 548 | C2×C3×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 549 | C2×C3×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 550 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 551 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 552 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 553 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 554 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 555 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 556 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 557 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 558 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 559 | C3×C42 | — | 4 | 2 | no | — |
| 560 | C3×C42 | — | 4 | 1 | no | — |
| 561 | C3×C42 | — | 4 | 1 | no | — |
| 562 | #217 | — | 2 | 2 | no | — |
| 563 | #217 | — | 4 | 1 | no | — |
| 564 | #217 | — | 4 | 1 | no | — |
| 565 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 566 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 567 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 568 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 569 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 570 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 571 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 572 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 573 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 574 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 575 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 576 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 577 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 578 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 579 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 580 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 581 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 582 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 583 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 584 | C4×Dic3 | — | 2 | 1 | no | — |
| 585 | C4×Dic3 | — | 4 | 1 | no | — |
| 586 | C4×Dic3 | — | 4 | 2 | no | — |
| 587 | C4×Dic3 | — | 4 | 1 | no | — |
| 588 | C4×Dic3 | C2×SD16 | 1 | 1 | yes | characteristic |
| 589 | C4×Dic3 | C2×SD16 | 1 | 1 | yes | characteristic |
| 590 | #208 | — | 2 | 1 | no | — |
| 591 | #208 | — | 2 | 1 | no | — |
| 592 | #208 | — | 4 | 1 | no | — |
| 593 | #208 | — | 4 | 1 | no | — |
| 594 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 595 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 596 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 597 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 598 | C2×C3⋊C8 | #120 | 1 | 2 | yes | — |
| 599 | D24 | — | 2 | 2 | no | — |
| 600 | D24 | — | 2 | 2 | no | — |
| 601 | D24 | — | 4 | 1 | no | — |
| 602 | D24 | — | 4 | 1 | no | — |
| 603 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 604 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 605 | ΓL(1,𝔽25) | — | 8 | 2 | no | — |
| 606 | D3×C8 | — | 2 | 2 | no | — |
| 607 | D3×C8 | — | 2 | 2 | no | — |
| 608 | D3×C8 | — | 8 | 2 | no | — |
| 609 | C3×C16 | — | 2 | 2 | no | — |
| 610 | C3×C16 | — | 4 | 1 | no | — |
| 611 | C3⋊C16 | — | 2 | 2 | no | — |
| 612 | C3⋊C16 | — | 4 | 1 | no | — |
| 613 | C2×#41 | — | 3 | 1 | no | — |
| 614 | C2×#41 | — | 12 | 2 | no | — |
| 615 | C2×#41 | D3×D4 | 1 | 1 | yes | characteristic |
| 616 | C22×D4 | — | 6 | 1 | no | — |
| 617 | C23×C4 | — | 12 | 1 | no | — |
| 618 | C2×D8 | — | 3 | 2 | no | — |
| 619 | C2×D8 | — | 6 | 1 | no | — |
| 620 | C2×D8 | — | 6 | 1 | no | — |
| 621 | C2×D8 | — | 6 | 1 | no | — |
| 622 | C2×D8 | — | 6 | 1 | no | — |
| 623 | C2×D8 | — | 6 | 1 | no | — |
| 624 | #131 | — | 2 | 1 | no | — |
| 625 | #131 | — | 2 | 1 | no | — |
| 626 | #131 | — | 2 | 1 | no | — |
| 627 | #131 | — | 2 | 1 | no | — |
| 628 | #131 | — | 6 | 1 | no | — |
| 629 | #131 | — | 6 | 1 | no | — |
| 630 | #131 | — | 6 | 1 | no | — |
| 631 | #131 | — | 6 | 1 | no | — |
| 632 | #131 | — | 24 | 1 | no | — |
| 633 | #131 | — | 24 | 1 | no | — |
| 634 | C2×M16 | — | 2 | 1 | no | — |
| 635 | C2×M16 | — | 2 | 1 | no | — |
| 636 | C2×M16 | — | 3 | 1 | no | — |
| 637 | C2×M16 | — | 3 | 2 | no | — |
| 638 | C2×M16 | — | 6 | 1 | no | — |
| 639 | C2×M16 | — | 12 | 2 | no | — |
| 640 | C2×M16 | D3×D4 | 1 | 1 | yes | characteristic |
| 641 | C22×C8 | — | 2 | 1 | no | — |
| 642 | C22×C8 | — | 3 | 2 | no | — |
| 643 | C22×C8 | — | 3 | 1 | no | — |
| 644 | C22×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 645 | C4⋊Q8 | — | 3 | 1 | no | — |
| 646 | C4⋊Q8 | — | 6 | 1 | no | — |
| 647 | C4⋊Q8 | — | 6 | 1 | no | — |
| 648 | #127 | — | 3 | 1 | no | — |
| 649 | #127 | — | 12 | 1 | no | — |
| 650 | #127 | — | 12 | 1 | no | — |
| 651 | #126 | — | 12 | 2 | no | — |
| 652 | #126 | — | 12 | 2 | no | — |
| 653 | #125 | — | 6 | 1 | no | — |
| 654 | #125 | — | 6 | 1 | no | — |
| 655 | #124 | — | 3 | 1 | no | — |
| 656 | #124 | — | 3 | 1 | no | — |
| 657 | #124 | — | 12 | 2 | no | — |
| 658 | #124 | — | 12 | 1 | no | — |
| 659 | #124 | — | 12 | 2 | no | — |
| 660 | #124 | — | 12 | 1 | no | — |
| 661 | #123 | — | 12 | 2 | no | — |
| 662 | #123 | — | 12 | 2 | no | — |
| 663 | #123 | — | 12 | 2 | no | — |
| 664 | #123 | — | 12 | 2 | no | — |
| 665 | C22⋊Q8 | — | 12 | 1 | no | — |
| 666 | C22⋊Q8 | — | 12 | 1 | no | — |
| 667 | C22⋊Q8 | — | 12 | 2 | no | — |
| 668 | #121 | — | 6 | 2 | no | — |
| 669 | #121 | — | 6 | 2 | no | — |
| 670 | #121 | — | 6 | 2 | no | — |
| 671 | #121 | — | 6 | 2 | no | — |
| 672 | #121 | — | 6 | 2 | no | — |
| 673 | #121 | — | 12 | 2 | no | — |
| 674 | #121 | — | 12 | 2 | no | — |
| 675 | #121 | — | 12 | 2 | no | — |
| 676 | #120 | — | 12 | 2 | no | — |
| 677 | #120 | — | 12 | 2 | no | — |
| 678 | C4×Q8 | — | 4 | 1 | no | — |
| 679 | C4×Q8 | — | 12 | 1 | no | — |
| 680 | C4×Q8 | — | 12 | 1 | no | — |
| 681 | C4×Q8 | — | 12 | 1 | no | — |
| 682 | C4×D4 | — | 4 | 2 | no | — |
| 683 | C4×D4 | — | 4 | 1 | no | — |
| 684 | C4×D4 | — | 6 | 2 | no | — |
| 685 | C4×D4 | — | 6 | 2 | no | — |
| 686 | C4×D4 | — | 6 | 2 | no | — |
| 687 | C4×D4 | — | 12 | 1 | no | — |
| 688 | C4×D4 | — | 12 | 1 | no | — |
| 689 | C4×D4 | — | 12 | 2 | no | — |
| 690 | C4×D4 | — | 12 | 2 | no | — |
| 691 | C4×D4 | — | 12 | 1 | no | — |
| 692 | C4×D4 | — | 12 | 2 | no | — |
| 693 | #117 | — | 2 | 2 | no | — |
| 694 | #117 | — | 2 | 1 | no | — |
| 695 | #117 | — | 2 | 1 | no | — |
| 696 | #117 | — | 6 | 2 | no | — |
| 697 | #117 | — | 6 | 1 | no | — |
| 698 | #117 | — | 6 | 1 | no | — |
| 699 | #117 | — | 12 | 2 | no | — |
| 700 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 701 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 702 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 703 | C2×C22⋊C4 | — | 12 | 1 | no | — |
| 704 | C2×C42 | — | 3 | 1 | no | — |
| 705 | M32 | — | 2 | 1 | no | — |
| 706 | M32 | — | 2 | 1 | no | — |
| 707 | M32 | — | 2 | 1 | no | — |
| 708 | M32 | — | 2 | 1 | no | — |
| 709 | M32 | — | 6 | 4 | no | — |
| 710 | M32 | — | 6 | 1 | no | — |
| 711 | M32 | — | 6 | 1 | no | — |
| 712 | M32 | — | 6 | 1 | no | — |
| 713 | M32 | — | 6 | 1 | no | — |
| 714 | C2×C16 | — | 2 | 1 | no | — |
| 715 | C2×C16 | — | 3 | 2 | no | — |
| 716 | C2×C16 | — | 6 | 4 | no | — |
| 717 | C2×C16 | — | 6 | 1 | no | — |
| 718 | C2×C16 | #235 | 1 | 2 | yes | complemented |
| 719 | #108 | — | 2 | 1 | no | — |
| 720 | #108 | — | 2 | 1 | no | — |
| 721 | #108 | — | 6 | 1 | no | — |
| 722 | #108 | — | 6 | 1 | no | — |
| 723 | #108 | — | 12 | 2 | no | — |
| 724 | #107 | — | 2 | 2 | no | — |
| 725 | #107 | — | 2 | 1 | no | — |
| 726 | #107 | — | 2 | 1 | no | — |
| 727 | #107 | — | 6 | 2 | no | — |
| 728 | #107 | — | 6 | 1 | no | — |
| 729 | #107 | — | 6 | 1 | no | — |
| 730 | #107 | — | 6 | 1 | no | — |
| 731 | #107 | — | 6 | 1 | no | — |
| 732 | #106 | — | 2 | 2 | no | — |
| 733 | #106 | — | 2 | 1 | no | — |
| 734 | #106 | — | 2 | 1 | no | — |
| 735 | #106 | — | 3 | 1 | no | — |
| 736 | #106 | — | 3 | 1 | no | — |
| 737 | #106 | — | 6 | 2 | no | — |
| 738 | #106 | — | 6 | 1 | no | — |
| 739 | #106 | — | 6 | 1 | no | — |
| 740 | #106 | — | 6 | 1 | no | — |
| 741 | #106 | D3×D4 | 1 | 1 | yes | characteristic |
| 742 | #106 | D3×D4 | 1 | 2 | yes | — |
| 743 | #106 | D3×D4 | 1 | 1 | yes | characteristic |
| 744 | C4⋊C8 | — | 6 | 2 | no | — |
| 745 | C4⋊C8 | — | 24 | 1 | no | — |
| 746 | C4⋊C8 | — | 24 | 1 | no | — |
| 747 | #104 | — | 8 | 1 | no | — |
| 748 | #104 | — | 24 | 1 | no | — |
| 749 | #102 | — | 6 | 2 | no | — |
| 750 | #102 | — | 6 | 2 | no | — |
| 751 | #102 | — | 6 | 2 | no | — |
| 752 | #102 | — | 6 | 2 | no | — |
| 753 | #102 | — | 6 | 2 | no | — |
| 754 | #102 | — | 6 | 2 | no | — |
| 755 | #99 | — | 12 | 2 | no | — |
| 756 | C22⋊C8 | — | 6 | 2 | no | — |
| 757 | C22⋊C8 | — | 6 | 2 | no | — |
| 758 | #97 | — | 6 | 1 | no | — |
| 759 | #97 | — | 6 | 1 | no | — |
| 760 | C23×C3 | — | 2 | 1 | no | — |
| 761 | C23×C3 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 762 | C22×D3 | — | 4 | 2 | no | — |
| 763 | C22×D3 | — | 8 | 1 | no | — |
| 764 | C22×D3 | — | 8 | 1 | no | — |
| 765 | C22×D3 | — | 16 | 1 | no | — |
| 766 | C22×D3 | — | 16 | 1 | no | — |
| 767 | C22×D3 | #450 | 1 | 2 | yes | — |
| 768 | C3×Q8 | — | 2 | 1 | no | — |
| 769 | C3×Q8 | — | 2 | 1 | no | — |
| 770 | C3×D4 | — | 2 | 1 | no | — |
| 771 | C3×D4 | — | 2 | 1 | no | — |
| 772 | C3×D4 | — | 4 | 1 | no | — |
| 773 | C3×D4 | — | 4 | 1 | no | — |
| 774 | C2×C3×C4 | — | 2 | 1 | no | — |
| 775 | C2×C3×C4 | — | 4 | 1 | no | — |
| 776 | C2×C3×C4 | — | 4 | 1 | no | — |
| 777 | C2×C3×C4 | — | 4 | 2 | no | — |
| 778 | C2×C3×C4 | — | 4 | 1 | no | — |
| 779 | C2×C3×C4 | — | 4 | 1 | no | — |
| 780 | C2×C3×C4 | — | 8 | 1 | no | — |
| 781 | C2×C3×C4 | — | 16 | 1 | no | — |
| 782 | C2×C3×C4 | — | 16 | 2 | no | — |
| 783 | C2×C3×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 784 | C2×C3×C4 | #547 | 1 | 1 | yes | characteristic |
| 785 | C2×C3×C4 | #547 | 1 | 1 | yes | characteristic |
| 786 | C2×C3×C4 | C22×SD16 | 1 | 1 | yes | characteristic |
| 787 | C2×C3×C4 | #577 | 1 | 1 | yes | characteristic |
| 788 | C2×C3×C4 | #577 | 1 | 1 | yes | characteristic |
| 789 | #67 | — | 2 | 2 | no | — |
| 790 | #67 | — | 2 | 2 | no | — |
| 791 | #67 | — | 8 | 2 | no | — |
| 792 | #67 | — | 16 | 2 | no | — |
| 793 | #67 | — | 16 | 2 | no | — |
| 794 | C2×Dic3 | — | 2 | 1 | no | — |
| 795 | C2×Dic3 | — | 2 | 1 | no | — |
| 796 | C2×Dic3 | — | 4 | 1 | no | — |
| 797 | C2×Dic3 | — | 4 | 1 | no | — |
| 798 | C2×Dic3 | — | 8 | 1 | no | — |
| 799 | C2×Dic3 | — | 8 | 1 | no | — |
| 800 | C2×Dic3 | #450 | 1 | 2 | yes | — |
| 801 | D12 | — | 2 | 1 | no | — |
| 802 | D12 | — | 2 | 1 | no | — |
| 803 | D12 | — | 4 | 2 | no | — |
| 804 | D12 | — | 4 | 2 | no | — |
| 805 | D12 | — | 8 | 1 | no | — |
| 806 | D12 | — | 8 | 1 | no | — |
| 807 | D12 | — | 16 | 2 | no | — |
| 808 | D12 | — | 16 | 2 | no | — |
| 809 | C4×D3 | — | 2 | 2 | no | — |
| 810 | C4×D3 | — | 2 | 2 | no | — |
| 811 | C4×D3 | — | 8 | 4 | no | — |
| 812 | C4×D3 | — | 16 | 2 | no | — |
| 813 | C4×D3 | — | 16 | 2 | no | — |
| 814 | Dic6 | — | 2 | 1 | no | — |
| 815 | Dic6 | — | 2 | 1 | no | — |
| 816 | Dic6 | — | 8 | 2 | no | — |
| 817 | Dic6 | — | 16 | 1 | no | — |
| 818 | C3×C8 | — | 4 | 1 | no | — |
| 819 | C3×C8 | — | 8 | 1 | no | — |
| 820 | C3×C8 | #525 | 1 | 1 | yes | characteristic |
| 821 | C3×C8 | #536 | 1 | 1 | yes | characteristic |
| 822 | C3×C8 | #547 | 1 | 1 | yes | characteristic |
| 823 | C3×C8 | #547 | 1 | 1 | yes | characteristic |
| 824 | C3⋊C8 | — | 2 | 2 | no | — |
| 825 | C3⋊C8 | — | 4 | 1 | no | — |
| 826 | C3⋊C8 | — | 8 | 1 | no | — |
| 827 | C24 | — | 12 | 1 | no | — |
| 828 | #41 | — | 2 | 1 | no | — |
| 829 | #41 | — | 2 | 1 | no | — |
| 830 | #41 | — | 2 | 1 | no | — |
| 831 | #41 | — | 2 | 1 | no | — |
| 832 | #41 | — | 6 | 1 | no | — |
| 833 | #41 | — | 6 | 1 | no | — |
| 834 | #41 | — | 6 | 1 | no | — |
| 835 | #41 | — | 6 | 1 | no | — |
| 836 | #41 | — | 48 | 4 | no | — |
| 837 | C2×Q8 | — | 3 | 1 | no | — |
| 838 | C2×Q8 | — | 12 | 1 | no | — |
| 839 | C2×Q8 | — | 12 | 1 | no | — |
| 840 | C2×Q8 | D3×SD16 | 1 | 1 | yes | characteristic |
| 841 | C2×D4 | — | 2 | 1 | no | — |
| 842 | C2×D4 | — | 3 | 2 | no | — |
| 843 | C2×D4 | — | 3 | 1 | no | — |
| 844 | C2×D4 | — | 6 | 2 | no | — |
| 845 | C2×D4 | — | 6 | 2 | no | — |
| 846 | C2×D4 | — | 12 | 2 | no | — |
| 847 | C2×D4 | — | 12 | 2 | no | — |
| 848 | C2×D4 | — | 12 | 2 | no | — |
| 849 | C2×D4 | — | 12 | 2 | no | — |
| 850 | C2×D4 | — | 12 | 1 | no | — |
| 851 | C2×D4 | — | 12 | 1 | no | — |
| 852 | C2×D4 | — | 12 | 1 | no | — |
| 853 | C2×D4 | — | 12 | 1 | no | — |
| 854 | C2×D4 | — | 12 | 1 | no | — |
| 855 | C2×D4 | D3×SD16 | 1 | 1 | yes | characteristic |
| 856 | C22×C4 | — | 2 | 1 | no | — |
| 857 | C22×C4 | — | 3 | 2 | no | — |
| 858 | C22×C4 | — | 4 | 2 | no | — |
| 859 | C22×C4 | — | 4 | 1 | no | — |
| 860 | C22×C4 | — | 6 | 1 | no | — |
| 861 | C22×C4 | — | 12 | 2 | no | — |
| 862 | C22×C4 | — | 12 | 2 | no | — |
| 863 | C22×C4 | — | 12 | 2 | no | — |
| 864 | C22×C4 | — | 48 | 2 | no | — |
| 865 | C22×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 866 | D8 | — | 6 | 2 | no | — |
| 867 | D8 | — | 6 | 2 | no | — |
| 868 | D8 | — | 12 | 1 | no | — |
| 869 | D8 | — | 12 | 1 | no | — |
| 870 | M16 | — | 2 | 1 | no | — |
| 871 | M16 | — | 2 | 1 | no | — |
| 872 | M16 | — | 4 | 1 | no | — |
| 873 | M16 | — | 4 | 1 | no | — |
| 874 | M16 | — | 4 | 1 | no | — |
| 875 | M16 | — | 4 | 1 | no | — |
| 876 | M16 | — | 6 | 1 | no | — |
| 877 | M16 | — | 6 | 1 | no | — |
| 878 | M16 | — | 6 | 2 | no | — |
| 879 | M16 | — | 6 | 2 | no | — |
| 880 | M16 | — | 12 | 1 | no | — |
| 881 | M16 | — | 12 | 1 | no | — |
| 882 | M16 | — | 24 | 2 | no | — |
| 883 | C2×C8 | — | 2 | 1 | no | — |
| 884 | C2×C8 | — | 3 | 2 | no | — |
| 885 | C2×C8 | — | 4 | 1 | no | — |
| 886 | C2×C8 | — | 4 | 1 | no | — |
| 887 | C2×C8 | — | 4 | 1 | no | — |
| 888 | C2×C8 | — | 6 | 2 | no | — |
| 889 | C2×C8 | — | 6 | 2 | no | — |
| 890 | C2×C8 | — | 6 | 1 | no | — |
| 891 | C2×C8 | — | 6 | 1 | no | — |
| 892 | C2×C8 | — | 6 | 1 | no | — |
| 893 | C2×C8 | — | 12 | 1 | no | — |
| 894 | C2×C8 | — | 24 | 2 | no | — |
| 895 | C2×C8 | C2×#235 | 1 | 1 | yes | characteristic |
| 896 | C2×C8 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 897 | C2×C8 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 898 | C2×C8 | #1007 | 1 | 1 | yes | characteristic |
| 899 | C2×C8 | D3×#41 | 1 | 1 | yes | characteristic |
| 900 | C2×C8 | #1010 | 1 | 1 | yes | characteristic |
| 901 | C4⋊C4 | — | 2 | 2 | no | — |
| 902 | C4⋊C4 | — | 2 | 1 | no | — |
| 903 | C4⋊C4 | — | 2 | 1 | no | — |
| 904 | C4⋊C4 | — | 4 | 2 | no | — |
| 905 | C4⋊C4 | — | 4 | 1 | no | — |
| 906 | C4⋊C4 | — | 4 | 1 | no | — |
| 907 | C4⋊C4 | — | 6 | 2 | no | — |
| 908 | C4⋊C4 | — | 6 | 1 | no | — |
| 909 | C4⋊C4 | — | 6 | 1 | no | — |
| 910 | C4⋊C4 | — | 12 | 2 | no | — |
| 911 | C4⋊C4 | — | 12 | 1 | no | — |
| 912 | C4⋊C4 | — | 12 | 1 | no | — |
| 913 | C4⋊C4 | — | 12 | 1 | no | — |
| 914 | C4⋊C4 | — | 12 | 1 | no | — |
| 915 | C4⋊C4 | — | 12 | 1 | no | — |
| 916 | C4⋊C4 | — | 12 | 1 | no | — |
| 917 | C4⋊C4 | — | 12 | 1 | no | — |
| 918 | C22⋊C4 | — | 4 | 2 | no | — |
| 919 | C22⋊C4 | — | 4 | 1 | no | — |
| 920 | C22⋊C4 | — | 4 | 1 | no | — |
| 921 | C22⋊C4 | — | 6 | 2 | no | — |
| 922 | C22⋊C4 | — | 6 | 2 | no | — |
| 923 | C22⋊C4 | — | 12 | 2 | no | — |
| 924 | C22⋊C4 | — | 12 | 2 | no | — |
| 925 | C22⋊C4 | — | 12 | 2 | no | — |
| 926 | C22⋊C4 | — | 12 | 2 | no | — |
| 927 | C22⋊C4 | — | 12 | 2 | no | — |
| 928 | C22⋊C4 | — | 12 | 2 | no | — |
| 929 | C22⋊C4 | — | 12 | 2 | no | — |
| 930 | C22⋊C4 | — | 12 | 1 | no | — |
| 931 | C22⋊C4 | — | 12 | 1 | no | — |
| 932 | C42 | — | 3 | 1 | no | — |
| 933 | C42 | — | 3 | 1 | no | — |
| 934 | C42 | — | 4 | 2 | no | — |
| 935 | C42 | — | 4 | 1 | no | — |
| 936 | C42 | — | 4 | 1 | no | — |
| 937 | C42 | — | 6 | 1 | no | — |
| 938 | C42 | — | 12 | 2 | no | — |
| 939 | C42 | — | 12 | 1 | no | — |
| 940 | C42 | — | 12 | 1 | no | — |
| 941 | C16 | — | 2 | 2 | no | — |
| 942 | C16 | — | 4 | 1 | no | — |
| 943 | C16 | — | 6 | 2 | no | — |
| 944 | C16 | — | 12 | 1 | no | — |
| 945 | C22×C3 | — | 4 | 1 | no | — |
| 946 | C22×C3 | — | 4 | 2 | no | — |
| 947 | C22×C3 | — | 4 | 1 | no | — |
| 948 | C22×C3 | C2×#450 | 1 | 1 | yes | characteristic |
| 949 | C22×C3 | #3345 | 1 | 1 | yes | characteristic |
| 950 | C22×C3 | #3345 | 1 | 1 | yes | characteristic |
| 951 | C2×D3 | — | 2 | 2 | no | — |
| 952 | C2×D3 | — | 4 | 2 | no | — |
| 953 | C2×D3 | — | 8 | 2 | no | — |
| 954 | C2×D3 | — | 8 | 2 | no | — |
| 955 | C2×D3 | — | 8 | 2 | no | — |
| 956 | C2×D3 | — | 16 | 2 | no | — |
| 957 | C2×D3 | — | 16 | 2 | no | — |
| 958 | C3×C4 | — | 4 | 1 | no | — |
| 959 | C3×C4 | — | 8 | 1 | no | — |
| 960 | C3×C4 | — | 8 | 1 | no | — |
| 961 | C3×C4 | — | 8 | 2 | no | — |
| 962 | C3×C4 | — | 16 | 1 | no | — |
| 963 | C3×C4 | #2406 | 1 | 1 | yes | characteristic |
| 964 | C3×C4 | #3010 | 1 | 1 | yes | characteristic |
| 965 | C3×C4 | #3335 | 1 | 1 | yes | characteristic |
| 966 | C3×C4 | #3335 | 1 | 1 | yes | characteristic |
| 967 | Dic3 | — | 2 | 2 | no | — |
| 968 | Dic3 | — | 4 | 1 | no | — |
| 969 | Dic3 | — | 4 | 1 | no | — |
| 970 | Dic3 | — | 8 | 1 | no | — |
| 971 | Dic3 | — | 8 | 1 | no | — |
| 972 | Dic3 | — | 16 | 1 | no | — |
| 973 | C23 | — | 2 | 1 | no | — |
| 974 | C23 | — | 3 | 2 | no | — |
| 975 | C23 | — | 12 | 2 | no | — |
| 976 | C23 | — | 24 | 1 | no | — |
| 977 | C23 | — | 24 | 1 | no | — |
| 978 | C23 | — | 48 | 1 | no | — |
| 979 | C23 | — | 48 | 1 | no | — |
| 980 | C23 | D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 981 | Q8 | — | 2 | 1 | no | — |
| 982 | Q8 | — | 2 | 1 | no | — |
| 983 | Q8 | — | 6 | 1 | no | — |
| 984 | Q8 | — | 6 | 1 | no | — |
| 985 | Q8 | — | 24 | 2 | no | — |
| 986 | Q8 | — | 48 | 1 | no | — |
| 987 | D4 | — | 2 | 1 | no | — |
| 988 | D4 | — | 2 | 1 | no | — |
| 989 | D4 | — | 4 | 1 | no | — |
| 990 | D4 | — | 4 | 1 | no | — |
| 991 | D4 | — | 6 | 2 | no | — |
| 992 | D4 | — | 6 | 2 | no | — |
| 993 | D4 | — | 6 | 1 | no | — |
| 994 | D4 | — | 6 | 1 | no | — |
| 995 | D4 | — | 12 | 2 | no | — |
| 996 | D4 | — | 12 | 2 | no | — |
| 997 | D4 | — | 24 | 2 | no | — |
| 998 | D4 | — | 24 | 1 | no | — |
| 999 | D4 | — | 24 | 1 | no | — |
| 1000 | D4 | — | 48 | 2 | no | — |
| 1001 | D4 | — | 48 | 2 | no | — |
| 1002 | D4 | — | 48 | 2 | no | — |
| 1003 | D4 | — | 48 | 2 | no | — |
| 1004 | C2×C4 | — | 2 | 1 | no | — |
| 1005 | C2×C4 | — | 3 | 2 | no | — |
| 1006 | C2×C4 | — | 4 | 1 | no | — |
| 1007 | C2×C4 | — | 4 | 1 | no | — |
| 1008 | C2×C4 | — | 4 | 1 | no | — |
| 1009 | C2×C4 | — | 4 | 2 | no | — |
| 1010 | C2×C4 | — | 4 | 1 | no | — |
| 1011 | C2×C4 | — | 6 | 2 | no | — |
| 1012 | C2×C4 | — | 6 | 2 | no | — |
| 1013 | C2×C4 | — | 6 | 1 | no | — |
| 1014 | C2×C4 | — | 6 | 1 | no | — |
| 1015 | C2×C4 | — | 8 | 1 | no | — |
| 1016 | C2×C4 | — | 12 | 1 | no | — |
| 1017 | C2×C4 | — | 12 | 1 | no | — |
| 1018 | C2×C4 | — | 16 | 1 | no | — |
| 1019 | C2×C4 | — | 16 | 2 | no | — |
| 1020 | C2×C4 | — | 24 | 4 | no | — |
| 1021 | C2×C4 | — | 24 | 1 | no | — |
| 1022 | C2×C4 | — | 24 | 1 | no | — |
| 1023 | C2×C4 | — | 48 | 2 | no | — |
| 1024 | C2×C4 | — | 48 | 2 | no | — |
| 1025 | C2×C4 | #5507 | 1 | 1 | yes | characteristic |
| 1026 | C2×C4 | D3×#120 | 1 | 1 | yes | characteristic |
| 1027 | C2×C4 | #5655 | 1 | 1 | yes | characteristic |
| 1028 | C2×C4 | C2×D3×SD16 | 1 | 1 | yes | characteristic |
| 1029 | C2×C4 | #5762 | 1 | 1 | yes | characteristic |
| 1030 | C2×C4 | #5778 | 1 | 1 | yes | characteristic |
| 1031 | C8 | — | 4 | 1 | no | — |
| 1032 | C8 | — | 6 | 2 | no | — |
| 1033 | C8 | — | 8 | 1 | no | — |
| 1034 | C8 | — | 12 | 1 | no | — |
| 1035 | C8 | — | 24 | 1 | no | — |
| 1036 | C8 | #5547 | 1 | 1 | yes | characteristic |
| 1037 | C8 | #5551 | 1 | 1 | yes | characteristic |
| 1038 | C8 | #5628 | 1 | 1 | yes | characteristic |
| 1039 | C8 | #5631 | 1 | 1 | yes | characteristic |
| 1040 | C2×C3 | — | 2 | 1 | no | — |
| 1041 | C2×C3 | — | 2 | 1 | no | — |
| 1042 | C2×C3 | — | 2 | 1 | no | — |
| 1043 | C2×C3 | — | 8 | 1 | no | — |
| 1044 | C2×C3 | #24089 | 1 | 1 | yes | characteristic |
| 1045 | D3 | — | 4 | 2 | no | — |
| 1046 | D3 | — | 16 | 2 | no | — |
| 1047 | C22 | — | 4 | 1 | no | — |
| 1048 | C22 | — | 4 | 2 | no | — |
| 1049 | C22 | — | 4 | 1 | no | — |
| 1050 | C22 | — | 6 | 2 | no | — |
| 1051 | C22 | — | 12 | 2 | no | — |
| 1052 | C22 | — | 24 | 2 | no | — |
| 1053 | C22 | — | 24 | 2 | no | — |
| 1054 | C22 | — | 24 | 2 | no | — |
| 1055 | C22 | — | 48 | 2 | no | — |
| 1056 | C22 | — | 48 | 2 | no | — |
| 1057 | C22 | #79225 | 1 | 1 | yes | characteristic |
| 1058 | C22 | D3×#450 | 1 | 1 | yes | characteristic |
| 1059 | C22 | #81335 | 1 | 1 | yes | characteristic |
| 1060 | C4 | — | 4 | 1 | no | — |
| 1061 | C4 | — | 6 | 2 | no | — |
| 1062 | C4 | — | 8 | 2 | no | — |
| 1063 | C4 | — | 8 | 1 | no | — |
| 1064 | C4 | — | 8 | 1 | no | — |
| 1065 | C4 | — | 12 | 1 | no | — |
| 1066 | C4 | — | 12 | 1 | no | — |
| 1067 | C4 | — | 16 | 1 | no | — |
| 1068 | C4 | — | 24 | 1 | no | — |
| 1069 | C4 | — | 24 | 1 | no | — |
| 1070 | C4 | — | 48 | 1 | no | — |
| 1071 | C4 | #74600 | 1 | 1 | yes | characteristic |
| 1072 | C4 | #79124 | 1 | 1 | yes | characteristic |
| 1073 | C4 | #80041 | 1 | 1 | yes | characteristic |
| 1074 | C4 | #81435 | 1 | 1 | yes | characteristic |
| 1075 | C3 | #500349 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1076 | C2 | — | 2 | 1 | no | — |
| 1077 | C2 | — | 2 | 1 | no | — |
| 1078 | C2 | — | 2 | 1 | no | — |
| 1079 | C2 | — | 8 | 1 | no | — |
| 1080 | C2 | — | 12 | 2 | no | — |
| 1081 | C2 | — | 48 | 2 | no | — |
| 1082 | C2 | #10828765 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10950092 | C2 | semidirect |
| 3. #10948201 | C2 | semidirect |
| 4. #10877380 | C2 | semidirect |
| 5. #10714844 | C2 | semidirect |
| 6. #10714843 | C2 | semidirect |
| 7. #10714455 | C2 | semidirect |
| 8. #10714454 | C2 | semidirect |
| 9. #10712635 | C2 | semidirect |
| 10. #10712107 | C2 | semidirect |
| 11. #10711927 | C2 | semidirect |
| 12. #10711923 | C2 | semidirect |
| 13. #10711772 | C2 | semidirect |
| 14. #10711504 | C2 | semidirect |
| 15. C3×#12934 | C2 | semidirect |
| 81. #12934 | D3 | semidirect |
| 338. C2×C3×C16 | #41 | semidirect |
| 373. C2×C3⋊C16 | #41 | semidirect |
| 718. C2×C16 | #235 | semidirect |
| 1075. C3 | #500349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11674709 | 2 |
| #10950092 | 2 |
| #10948201 | 2 |
| #10877380 | 2 |
| #10714844 | 2 |
| #10714843 | 2 |
| #10714455 | 2 |
| #10714454 | 2 |
| #10712635 | 2 |
| #10712107 | 2 |
| #10711927 | 2 |
| #10711923 | 2 |
| #10711772 | 2 |
| #10711504 | 2 |
| C3×#12934 | 2 |
| #500349 | 3 |