| 1 | #78468 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C8×M16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #70769 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #70761 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #69862 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #69859 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | C4×#819 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #9723 | — | 3 | 1 | no | maximal, Sylow |
| 9 | #5477 | C22 | 1 | 1 | yes | characteristic |
| 10 | #5470 | C22 | 1 | 1 | yes | characteristic |
| 11 | C3×#431 | C22 | 1 | 1 | yes | characteristic |
| 12 | C3×C4×M16 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C3×C4×C8 | C22 | 1 | 1 | yes | characteristic |
| 14 | #5114 | — | 2 | 1 | no | — |
| 15 | #5114 | — | 2 | 1 | no | — |
| 16 | C2×#819 | — | 2 | 1 | no | — |
| 17 | C4×#208 | C22 | 1 | 1 | yes | characteristic |
| 18 | C4×#208 | C22 | 1 | 1 | yes | characteristic |
| 19 | #4694 | C4 | 1 | 1 | yes | characteristic |
| 20 | #4693 | C4 | 1 | 1 | yes | characteristic |
| 21 | C4×#204 | — | 2 | 1 | no | — |
| 22 | C4×#204 | — | 2 | 1 | no | — |
| 23 | #4681 | C4 | 1 | 1 | yes | characteristic |
| 24 | #4680 | C4 | 1 | 1 | yes | characteristic |
| 25 | C3×#322 | — | 2 | 1 | no | — |
| 26 | C3×C82 | — | 2 | 1 | no | — |
| 27 | #4552 | — | 2 | 1 | no | — |
| 28 | #4484 | — | 2 | 2 | no | — |
| 29 | #4483 | — | 2 | 2 | no | — |
| 30 | #4465 | — | 2 | 2 | no | — |
| 31 | #4464 | — | 2 | 2 | no | — |
| 32 | #3167 | — | 3 | 1 | no | — |
| 33 | C4×#108 | — | 3 | 1 | no | — |
| 34 | #1526 | — | 3 | 1 | no | — |
| 35 | #1525 | — | 3 | 1 | no | — |
| 36 | #1485 | — | 3 | 1 | no | — |
| 37 | #1484 | — | 3 | 1 | no | — |
| 38 | C8×M16 | D3 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×#235 | — | 2 | 1 | no | — |
| 40 | C2×C3×M16 | — | 2 | 1 | no | — |
| 41 | C22×C3×C8 | D4 | 1 | 1 | yes | characteristic |
| 42 | C22×C3×C8 | D4 | 1 | 1 | yes | characteristic |
| 43 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 44 | #930 | — | 2 | 1 | no | — |
| 45 | #930 | — | 2 | 1 | no | — |
| 46 | #926 | — | 2 | 1 | no | — |
| 47 | #924 | — | 2 | 1 | no | — |
| 48 | #924 | — | 2 | 1 | no | — |
| 49 | C2×#208 | — | 2 | 1 | no | — |
| 50 | C2×#208 | — | 2 | 1 | no | — |
| 51 | C2×#204 | — | 2 | 1 | no | — |
| 52 | C2×#204 | — | 2 | 1 | no | — |
| 53 | #875 | — | 2 | 1 | no | — |
| 54 | #874 | C2×C4 | 1 | 1 | yes | characteristic |
| 55 | C4×D12 | — | 2 | 1 | no | — |
| 56 | C4×D12 | — | 2 | 1 | no | — |
| 57 | #870 | — | 2 | 1 | no | — |
| 58 | #869 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | #869 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | #869 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | C4×Dic6 | — | 2 | 1 | no | — |
| 62 | C4×Dic6 | — | 2 | 1 | no | — |
| 63 | C3×C4⋊C8 | D4 | 1 | 2 | yes | — |
| 64 | C3×C22⋊C8 | — | 2 | 1 | no | — |
| 65 | C3×#97 | D4 | 1 | 2 | yes | — |
| 66 | C3×C4×C8 | — | 2 | 1 | no | — |
| 67 | C3×C4×C8 | — | 2 | 1 | no | — |
| 68 | C3×C4×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | C3×C4×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | C3×C4×C8 | D4 | 1 | 1 | yes | characteristic |
| 71 | C3×C4×C8 | D4 | 1 | 1 | yes | characteristic |
| 72 | #821 | — | 2 | 1 | no | — |
| 73 | #821 | — | 2 | 1 | no | — |
| 74 | #819 | — | 2 | 4 | no | — |
| 75 | #817 | — | 2 | 1 | no | — |
| 76 | #817 | — | 2 | 1 | no | — |
| 77 | #816 | — | 2 | 1 | no | — |
| 78 | #816 | — | 2 | 1 | no | — |
| 79 | #803 | — | 2 | 1 | no | — |
| 80 | #803 | — | 2 | 1 | no | — |
| 81 | C4×C3⋊C8 | — | 2 | 1 | no | — |
| 82 | C4×C3⋊C8 | — | 2 | 1 | no | — |
| 83 | #533 | — | 3 | 1 | no | — |
| 84 | #532 | — | 3 | 1 | no | — |
| 85 | #498 | — | 3 | 1 | no | — |
| 86 | #492 | — | 3 | 1 | no | — |
| 87 | #487 | — | 3 | 1 | no | — |
| 88 | #486 | — | 3 | 1 | no | — |
| 89 | #465 | — | 6 | 1 | no | — |
| 90 | #465 | — | 6 | 1 | no | — |
| 91 | C4×SD16 | — | 6 | 1 | no | — |
| 92 | C4×SD16 | — | 6 | 1 | no | — |
| 93 | #431 | C2×D3 | 1 | 1 | yes | characteristic |
| 94 | C2×#108 | — | 6 | 1 | no | — |
| 95 | C4×M16 | — | 3 | 1 | no | — |
| 96 | C4×M16 | — | 3 | 1 | no | — |
| 97 | C4×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 98 | C2×C4×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 99 | #341 | — | 6 | 1 | no | — |
| 100 | #330 | — | 6 | 2 | no | — |
| 101 | #329 | — | 6 | 2 | no | — |
| 102 | Q8⋊C8 | — | 6 | 2 | no | — |
| 103 | D4⋊C8 | — | 6 | 2 | no | — |
| 104 | #322 | — | 2 | 1 | no | — |
| 105 | C82 | — | 2 | 1 | no | — |
| 106 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C22×C3×C4 | #41 | 1 | 1 | yes | characteristic |
| 108 | C22×C3×C4 | #41 | 1 | 1 | yes | characteristic |
| 109 | C2×#67 | — | 4 | 1 | no | — |
| 110 | #235 | — | 8 | 2 | no | — |
| 111 | C2×D12 | — | 2 | 1 | no | — |
| 112 | C2×D12 | — | 2 | 1 | no | — |
| 113 | C2×D12 | — | 2 | 1 | no | — |
| 114 | C2×C4×D3 | — | 4 | 1 | no | — |
| 115 | C2×Dic6 | — | 2 | 1 | no | — |
| 116 | C2×Dic6 | — | 2 | 1 | no | — |
| 117 | C2×Dic6 | — | 2 | 1 | no | — |
| 118 | C3×M16 | — | 2 | 4 | no | — |
| 119 | C2×C3×C8 | — | 2 | 2 | no | — |
| 120 | C2×C3×C8 | — | 2 | 2 | no | — |
| 121 | C2×C3×C8 | — | 2 | 2 | no | — |
| 122 | C2×C3×C8 | — | 4 | 1 | no | — |
| 123 | C2×C3×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 124 | C2×C3×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 125 | C2×C3×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 126 | C2×C3×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 127 | C3×C42 | C22×C4 | 1 | 1 | yes | characteristic |
| 128 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 130 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | #217 | — | 4 | 1 | no | — |
| 132 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 133 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 134 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 135 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 136 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 137 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 138 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 139 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 140 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 141 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 142 | C4×Dic3 | — | 4 | 1 | no | — |
| 143 | #208 | — | 2 | 2 | no | — |
| 144 | #208 | — | 2 | 2 | no | — |
| 145 | #208 | — | 4 | 1 | no | — |
| 146 | #208 | — | 4 | 1 | no | — |
| 147 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 148 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 149 | #204 | — | 4 | 2 | no | — |
| 150 | #204 | — | 4 | 2 | no | — |
| 151 | C2×#41 | — | 6 | 1 | no | — |
| 152 | C2×SD16 | — | 6 | 1 | no | — |
| 153 | C2×SD16 | — | 6 | 1 | no | — |
| 154 | C2×M16 | — | 2 | 1 | no | — |
| 155 | C2×M16 | — | 6 | 1 | no | — |
| 156 | C2×M16 | — | 6 | 1 | no | — |
| 157 | C22×C8 | D12 | 1 | 1 | yes | characteristic |
| 158 | C22×C8 | D12 | 1 | 1 | yes | characteristic |
| 159 | C4⋊Q8 | — | 3 | 1 | no | — |
| 160 | C4⋊Q8 | — | 3 | 1 | no | — |
| 161 | C4⋊Q8 | — | 3 | 1 | no | — |
| 162 | #127 | — | 3 | 1 | no | — |
| 163 | #125 | — | 6 | 1 | no | — |
| 164 | #124 | — | 6 | 1 | no | — |
| 165 | C22⋊Q8 | — | 6 | 1 | no | — |
| 166 | C22⋊Q8 | — | 6 | 1 | no | — |
| 167 | #121 | — | 6 | 1 | no | — |
| 168 | #121 | — | 6 | 1 | no | — |
| 169 | C4×Q8 | — | 6 | 1 | no | — |
| 170 | C4×Q8 | — | 6 | 1 | no | — |
| 171 | C4×D4 | — | 6 | 1 | no | — |
| 172 | C4×D4 | — | 6 | 1 | no | — |
| 173 | #117 | — | 6 | 1 | no | — |
| 174 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 175 | #108 | — | 6 | 4 | no | — |
| 176 | #106 | — | 6 | 1 | no | — |
| 177 | #106 | — | 6 | 1 | no | — |
| 178 | C4⋊C8 | D12 | 1 | 2 | yes | — |
| 179 | #103 | — | 6 | 1 | no | — |
| 180 | #103 | — | 6 | 1 | no | — |
| 181 | #102 | — | 6 | 1 | no | — |
| 182 | #102 | — | 6 | 1 | no | — |
| 183 | C22⋊C8 | — | 2 | 1 | no | — |
| 184 | #97 | — | 6 | 1 | no | — |
| 185 | #97 | — | 6 | 1 | no | — |
| 186 | #97 | D12 | 1 | 2 | yes | — |
| 187 | C4×C8 | — | 2 | 1 | no | — |
| 188 | C4×C8 | — | 2 | 1 | no | — |
| 189 | C4×C8 | — | 6 | 1 | no | — |
| 190 | C4×C8 | — | 6 | 1 | no | — |
| 191 | C4×C8 | C4×D3 | 1 | 1 | yes | characteristic |
| 192 | C4×C8 | C4×D3 | 1 | 1 | yes | characteristic |
| 193 | C4×C8 | #67 | 1 | 1 | yes | characteristic |
| 194 | C4×C8 | #67 | 1 | 1 | yes | characteristic |
| 195 | C23×C3 | #124 | 1 | 1 | yes | characteristic |
| 196 | C22×D3 | — | 4 | 1 | no | — |
| 197 | C2×C3×C4 | — | 2 | 1 | no | — |
| 198 | C2×C3×C4 | — | 2 | 1 | no | — |
| 199 | C2×C3×C4 | — | 2 | 2 | no | — |
| 200 | C2×C3×C4 | — | 2 | 2 | no | — |
| 201 | C2×C3×C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 202 | C2×C3×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 203 | C2×C3×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×C3×C4 | #121 | 1 | 1 | yes | characteristic |
| 205 | C2×C3×C4 | #121 | 1 | 1 | yes | characteristic |
| 206 | C2×C3×C4 | #127 | 1 | 1 | yes | characteristic |
| 207 | #67 | — | 8 | 2 | no | — |
| 208 | C2×Dic3 | — | 4 | 1 | no | — |
| 209 | C2×Dic3 | — | 4 | 1 | no | — |
| 210 | C2×Dic3 | — | 4 | 1 | no | — |
| 211 | D12 | — | 4 | 1 | no | — |
| 212 | D12 | — | 4 | 1 | no | — |
| 213 | D12 | — | 4 | 2 | no | — |
| 214 | D12 | — | 8 | 1 | no | — |
| 215 | C4×D3 | — | 8 | 2 | no | — |
| 216 | Dic6 | — | 4 | 1 | no | — |
| 217 | Dic6 | — | 4 | 1 | no | — |
| 218 | Dic6 | — | 4 | 2 | no | — |
| 219 | Dic6 | — | 8 | 1 | no | — |
| 220 | C3×C8 | — | 2 | 4 | no | — |
| 221 | C3×C8 | — | 2 | 1 | no | — |
| 222 | C3×C8 | — | 2 | 1 | no | — |
| 223 | C3×C8 | — | 2 | 1 | no | — |
| 224 | C3×C8 | — | 4 | 2 | no | — |
| 225 | C3×C8 | #104 | 1 | 2 | yes | — |
| 226 | C3⋊C8 | — | 4 | 2 | no | — |
| 227 | C3⋊C8 | — | 4 | 2 | no | — |
| 228 | #41 | — | 24 | 2 | no | — |
| 229 | C2×Q8 | — | 6 | 1 | no | — |
| 230 | C2×Q8 | — | 6 | 1 | no | — |
| 231 | C2×Q8 | — | 6 | 1 | no | — |
| 232 | C2×D4 | — | 6 | 1 | no | — |
| 233 | C2×D4 | — | 6 | 1 | no | — |
| 234 | C2×D4 | — | 6 | 1 | no | — |
| 235 | C2×D4 | — | 12 | 1 | no | — |
| 236 | C22×C4 | — | 12 | 1 | no | — |
| 237 | C22×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 238 | C22×C4 | #235 | 1 | 1 | yes | characteristic |
| 239 | C22×C4 | #235 | 1 | 1 | yes | characteristic |
| 240 | SD16 | — | 12 | 2 | no | — |
| 241 | SD16 | — | 12 | 2 | no | — |
| 242 | M16 | — | 2 | 4 | no | — |
| 243 | M16 | — | 6 | 2 | no | — |
| 244 | M16 | — | 6 | 2 | no | — |
| 245 | M16 | — | 12 | 1 | no | — |
| 246 | M16 | — | 12 | 1 | no | — |
| 247 | C2×C8 | — | 2 | 2 | no | — |
| 248 | C2×C8 | — | 2 | 2 | no | — |
| 249 | C2×C8 | — | 2 | 2 | no | — |
| 250 | C2×C8 | — | 4 | 1 | no | — |
| 251 | C2×C8 | — | 12 | 1 | no | — |
| 252 | C2×C8 | — | 12 | 1 | no | — |
| 253 | C2×C8 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 254 | C2×C8 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 255 | C2×C8 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 256 | C2×C8 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 257 | C4⋊C4 | — | 6 | 1 | no | — |
| 258 | C4⋊C4 | — | 6 | 1 | no | — |
| 259 | C4⋊C4 | — | 6 | 1 | no | — |
| 260 | C4⋊C4 | — | 6 | 1 | no | — |
| 261 | C4⋊C4 | — | 6 | 1 | no | — |
| 262 | C4⋊C4 | — | 6 | 1 | no | — |
| 263 | C4⋊C4 | — | 12 | 1 | no | — |
| 264 | C4⋊C4 | — | 12 | 1 | no | — |
| 265 | C22⋊C4 | — | 12 | 1 | no | — |
| 266 | C22⋊C4 | — | 12 | 1 | no | — |
| 267 | C22⋊C4 | — | 12 | 1 | no | — |
| 268 | C42 | — | 12 | 1 | no | — |
| 269 | C42 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 270 | C42 | C2×D12 | 1 | 1 | yes | characteristic |
| 271 | C42 | C2×D12 | 1 | 1 | yes | characteristic |
| 272 | C42 | C2×#67 | 1 | 1 | yes | characteristic |
| 273 | C22×C3 | — | 2 | 1 | no | — |
| 274 | C22×C3 | — | 2 | 1 | no | — |
| 275 | C22×C3 | — | 2 | 1 | no | — |
| 276 | C22×C3 | #390 | 1 | 1 | yes | characteristic |
| 277 | C2×D3 | — | 8 | 1 | no | — |
| 278 | C2×D3 | — | 8 | 1 | no | — |
| 279 | C2×D3 | — | 8 | 1 | no | — |
| 280 | C3×C4 | — | 2 | 1 | no | — |
| 281 | C3×C4 | — | 2 | 1 | no | — |
| 282 | C3×C4 | — | 2 | 1 | no | — |
| 283 | C3×C4 | C2×#104 | 1 | 1 | yes | characteristic |
| 284 | C3×C4 | #421 | 1 | 1 | yes | characteristic |
| 285 | C3×C4 | #443 | 1 | 2 | yes | — |
| 286 | C3×C4 | #471 | 1 | 2 | yes | — |
| 287 | Dic3 | — | 8 | 1 | no | — |
| 288 | Dic3 | — | 8 | 1 | no | — |
| 289 | Dic3 | — | 8 | 1 | no | — |
| 290 | C23 | — | 12 | 1 | no | — |
| 291 | C23 | #875 | 1 | 1 | yes | characteristic |
| 292 | Q8 | — | 12 | 1 | no | — |
| 293 | Q8 | — | 12 | 1 | no | — |
| 294 | Q8 | — | 12 | 2 | no | — |
| 295 | Q8 | — | 24 | 1 | no | — |
| 296 | D4 | — | 12 | 1 | no | — |
| 297 | D4 | — | 12 | 1 | no | — |
| 298 | D4 | — | 12 | 2 | no | — |
| 299 | D4 | — | 24 | 1 | no | — |
| 300 | D4 | — | 24 | 2 | no | — |
| 301 | C2×C4 | — | 2 | 1 | no | — |
| 302 | C2×C4 | — | 2 | 1 | no | — |
| 303 | C2×C4 | — | 2 | 2 | no | — |
| 304 | C2×C4 | — | 2 | 2 | no | — |
| 305 | C2×C4 | — | 12 | 1 | no | — |
| 306 | C2×C4 | — | 12 | 1 | no | — |
| 307 | C2×C4 | — | 12 | 1 | no | — |
| 308 | C2×C4 | — | 24 | 2 | no | — |
| 309 | C2×C4 | C4×D12 | 1 | 1 | yes | characteristic |
| 310 | C2×C4 | C4×D12 | 1 | 1 | yes | characteristic |
| 311 | C2×C4 | #874 | 1 | 1 | yes | characteristic |
| 312 | C2×C4 | C2×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 313 | C2×C4 | #930 | 1 | 1 | yes | characteristic |
| 314 | C2×C4 | #930 | 1 | 1 | yes | characteristic |
| 315 | C8 | — | 2 | 4 | no | — |
| 316 | C8 | — | 2 | 1 | no | — |
| 317 | C8 | — | 2 | 1 | no | — |
| 318 | C8 | — | 2 | 1 | no | — |
| 319 | C8 | — | 4 | 2 | no | — |
| 320 | C8 | — | 12 | 2 | no | — |
| 321 | C8 | — | 12 | 2 | no | — |
| 322 | C8 | #825 | 1 | 2 | yes | — |
| 323 | C2×C3 | — | 4 | 1 | no | — |
| 324 | C2×C3 | #1974 | 1 | 1 | yes | characteristic |
| 325 | C2×C3 | #1977 | 1 | 1 | yes | characteristic |
| 326 | C2×C3 | #1980 | 1 | 1 | yes | characteristic |
| 327 | D3 | — | 16 | 1 | no | — |
| 328 | C22 | — | 2 | 1 | no | — |
| 329 | C22 | — | 2 | 1 | no | — |
| 330 | C22 | — | 2 | 1 | no | — |
| 331 | C22 | — | 24 | 1 | no | — |
| 332 | C22 | — | 24 | 1 | no | — |
| 333 | C22 | — | 24 | 1 | no | — |
| 334 | C22 | #4939 | 1 | 1 | yes | characteristic |
| 335 | C4 | — | 2 | 1 | no | — |
| 336 | C4 | — | 2 | 1 | no | — |
| 337 | C4 | — | 2 | 1 | no | — |
| 338 | C4 | — | 24 | 1 | no | — |
| 339 | C4 | — | 24 | 1 | no | — |
| 340 | C4 | — | 24 | 1 | no | — |
| 341 | C4 | #4700 | 1 | 2 | yes | — |
| 342 | C4 | C2×#825 | 1 | 1 | yes | characteristic |
| 343 | C4 | #5139 | 1 | 1 | yes | characteristic |
| 344 | C4 | #5141 | 1 | 2 | yes | — |
| 345 | C3 | #9723 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 346 | C2 | — | 4 | 1 | no | — |
| 347 | C2 | — | 48 | 1 | no | — |
| 348 | C2 | #69795 | 1 | 1 | yes | characteristic |
| 349 | C2 | #69867 | 1 | 1 | yes | characteristic |
| 350 | C2 | #69902 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta