| 1 | C2×#490 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#478 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#459 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#442 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #2566 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #2541 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #2094 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #2092 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #2011 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #2011 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #1972 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #1970 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #1961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #1957 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #1771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C22×D8 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×D8 | C22 | 1 | 1 | yes | characteristic |
| 18 | C22×D8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#127 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#127 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#127 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#125 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#121 | — | 2 | 2 | no | — |
| 24 | C2×C4×D4 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×C4×D4 | C22 | 1 | 1 | yes | characteristic |
| 26 | #490 | — | 2 | 4 | no | — |
| 27 | #478 | — | 2 | 4 | no | — |
| 28 | #459 | — | 2 | 4 | no | — |
| 29 | #442 | — | 2 | 4 | no | — |
| 30 | C2×#107 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#106 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#106 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#102 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#102 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#102 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#102 | C22 | 1 | 1 | yes | characteristic |
| 38 | C2×#102 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#102 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#102 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#102 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#102 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#102 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#97 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#97 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×C4×C8 | C22 | 1 | 1 | yes | characteristic |
| 47 | #396 | — | 2 | 2 | no | — |
| 48 | #392 | — | 2 | 2 | no | — |
| 49 | #390 | C22 | 1 | 1 | yes | characteristic |
| 50 | #390 | C22 | 1 | 1 | yes | characteristic |
| 51 | #390 | C22 | 1 | 1 | yes | characteristic |
| 52 | #390 | C22 | 1 | 1 | yes | characteristic |
| 53 | #385 | — | 2 | 2 | no | — |
| 54 | #384 | C22 | 1 | 1 | yes | characteristic |
| 55 | #382 | C22 | 1 | 1 | yes | characteristic |
| 56 | C4×C4⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 57 | #336 | C22 | 1 | 1 | yes | characteristic |
| 58 | #336 | C22 | 1 | 1 | yes | characteristic |
| 59 | C22×D4 | — | 2 | 1 | no | — |
| 60 | C22×D4 | — | 2 | 2 | no | — |
| 61 | C22×D4 | — | 2 | 2 | no | — |
| 62 | C22×D4 | — | 2 | 1 | no | — |
| 63 | C22×D4 | C23 | 1 | 1 | yes | characteristic |
| 64 | C22×D4 | C23 | 1 | 1 | yes | characteristic |
| 65 | C22×D4 | C23 | 1 | 1 | yes | characteristic |
| 66 | C22×D4 | C23 | 1 | 1 | yes | characteristic |
| 67 | C23×C4 | — | 2 | 1 | no | — |
| 68 | C23×C4 | — | 2 | 1 | no | — |
| 69 | C2×D8 | — | 2 | 2 | no | — |
| 70 | C2×D8 | — | 2 | 2 | no | — |
| 71 | C2×D8 | — | 2 | 2 | no | — |
| 72 | C2×D8 | — | 2 | 2 | no | — |
| 73 | C2×D8 | — | 2 | 2 | no | — |
| 74 | C2×D8 | — | 2 | 2 | no | — |
| 75 | C2×D8 | — | 2 | 2 | no | — |
| 76 | C2×D8 | — | 4 | 1 | no | — |
| 77 | C2×D8 | — | 4 | 1 | no | — |
| 78 | C22×C8 | C23 | 1 | 1 | yes | characteristic |
| 79 | C22×C8 | C23 | 1 | 1 | yes | characteristic |
| 80 | C22×C8 | C23 | 1 | 1 | yes | characteristic |
| 81 | C22×C8 | C23 | 1 | 1 | yes | characteristic |
| 82 | #127 | — | 2 | 2 | no | — |
| 83 | #127 | — | 2 | 2 | no | — |
| 84 | #127 | — | 2 | 2 | no | — |
| 85 | #127 | — | 2 | 2 | no | — |
| 86 | #127 | — | 4 | 1 | no | — |
| 87 | #127 | — | 4 | 1 | no | — |
| 88 | #125 | — | 2 | 2 | no | — |
| 89 | #125 | — | 2 | 2 | no | — |
| 90 | #121 | — | 4 | 8 | no | — |
| 91 | C4×D4 | — | 2 | 2 | no | — |
| 92 | C4×D4 | — | 2 | 2 | no | — |
| 93 | C4×D4 | — | 2 | 2 | no | — |
| 94 | C4×D4 | — | 2 | 2 | no | — |
| 95 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 96 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 97 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 98 | C2×C4⋊C4 | D4 | 1 | 2 | yes | — |
| 99 | C2×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 104 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 105 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 106 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 107 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 108 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 109 | C2×C42 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×C42 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×C42 | C23 | 1 | 1 | yes | characteristic |
| 112 | #107 | — | 2 | 2 | no | — |
| 113 | #106 | — | 2 | 2 | no | — |
| 114 | #106 | — | 2 | 2 | no | — |
| 115 | C4⋊C8 | D4 | 1 | 4 | yes | complemented |
| 116 | #102 | — | 2 | 2 | no | — |
| 117 | #102 | — | 2 | 2 | no | — |
| 118 | #102 | — | 2 | 2 | no | — |
| 119 | #102 | — | 2 | 2 | no | — |
| 120 | #102 | — | 2 | 2 | no | — |
| 121 | #102 | — | 2 | 2 | no | — |
| 122 | #102 | — | 2 | 2 | no | — |
| 123 | #102 | — | 2 | 2 | no | — |
| 124 | #102 | — | 2 | 2 | no | — |
| 125 | #102 | — | 2 | 2 | no | — |
| 126 | #97 | — | 4 | 1 | no | — |
| 127 | #97 | D4 | 1 | 4 | yes | complemented |
| 128 | C4×C8 | — | 4 | 1 | no | — |
| 129 | #95 | — | 2 | 2 | no | — |
| 130 | #95 | D4 | 1 | 2 | yes | — |
| 131 | C24 | — | 2 | 1 | no | — |
| 132 | C24 | — | 2 | 1 | no | — |
| 133 | C24 | — | 2 | 1 | no | — |
| 134 | C24 | — | 2 | 1 | no | — |
| 135 | C2×D4 | — | 2 | 1 | no | — |
| 136 | C2×D4 | — | 2 | 1 | no | — |
| 137 | C2×D4 | — | 2 | 1 | no | — |
| 138 | C2×D4 | — | 2 | 1 | no | — |
| 139 | C2×D4 | — | 2 | 1 | no | — |
| 140 | C2×D4 | — | 2 | 1 | no | — |
| 141 | C2×D4 | — | 2 | 1 | no | — |
| 142 | C2×D4 | — | 2 | 1 | no | — |
| 143 | C2×D4 | — | 2 | 1 | no | — |
| 144 | C2×D4 | — | 2 | 1 | no | — |
| 145 | C2×D4 | — | 2 | 1 | no | — |
| 146 | C2×D4 | — | 2 | 1 | no | — |
| 147 | C2×D4 | — | 2 | 1 | no | — |
| 148 | C2×D4 | — | 2 | 1 | no | — |
| 149 | C2×D4 | — | 2 | 1 | no | — |
| 150 | C2×D4 | — | 2 | 1 | no | — |
| 151 | C2×D4 | — | 2 | 1 | no | — |
| 152 | C2×D4 | — | 2 | 1 | no | — |
| 153 | C2×D4 | — | 2 | 1 | no | — |
| 154 | C2×D4 | — | 2 | 1 | no | — |
| 155 | C2×D4 | — | 2 | 1 | no | — |
| 156 | C2×D4 | — | 2 | 1 | no | — |
| 157 | C2×D4 | — | 4 | 4 | no | — |
| 158 | C2×D4 | — | 4 | 4 | no | — |
| 159 | C2×D4 | — | 4 | 4 | no | — |
| 160 | C2×D4 | — | 4 | 4 | no | — |
| 161 | C2×D4 | — | 4 | 2 | no | — |
| 162 | C2×D4 | — | 4 | 2 | no | — |
| 163 | C2×D4 | — | 4 | 4 | no | — |
| 164 | C2×D4 | — | 8 | 2 | no | — |
| 165 | C2×D4 | — | 8 | 2 | no | — |
| 166 | C2×D4 | — | 8 | 2 | no | — |
| 167 | C2×D4 | #41 | 1 | 2 | yes | — |
| 168 | C2×D4 | #41 | 1 | 2 | yes | — |
| 169 | C22×C4 | — | 2 | 1 | no | — |
| 170 | C22×C4 | — | 2 | 1 | no | — |
| 171 | C22×C4 | — | 2 | 1 | no | — |
| 172 | C22×C4 | — | 2 | 1 | no | — |
| 173 | C22×C4 | — | 4 | 4 | no | — |
| 174 | C22×C4 | — | 4 | 2 | no | — |
| 175 | C22×C4 | — | 4 | 2 | no | — |
| 176 | C22×C4 | — | 8 | 2 | no | — |
| 177 | C22×C4 | C2×D4 | 1 | 2 | yes | — |
| 178 | C22×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 179 | C22×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C22×C4 | C2×D4 | 1 | 2 | yes | — |
| 181 | C22×C4 | C24 | 1 | 1 | yes | characteristic |
| 182 | D8 | — | 2 | 8 | no | — |
| 183 | D8 | — | 4 | 4 | no | — |
| 184 | D8 | — | 4 | 4 | no | — |
| 185 | C2×C8 | — | 2 | 1 | no | — |
| 186 | C2×C8 | — | 2 | 1 | no | — |
| 187 | C2×C8 | — | 2 | 1 | no | — |
| 188 | C2×C8 | — | 2 | 1 | no | — |
| 189 | C2×C8 | — | 2 | 1 | no | — |
| 190 | C2×C8 | — | 2 | 1 | no | — |
| 191 | C2×C8 | — | 2 | 1 | no | — |
| 192 | C2×C8 | — | 2 | 1 | no | — |
| 193 | C2×C8 | C2×D4 | 1 | 2 | yes | — |
| 194 | C2×C8 | C2×D4 | 1 | 2 | yes | — |
| 195 | C2×C8 | C2×D4 | 1 | 2 | yes | — |
| 196 | C2×C8 | C2×D4 | 1 | 2 | yes | — |
| 197 | C4⋊C4 | — | 2 | 4 | no | — |
| 198 | C4⋊C4 | — | 2 | 1 | no | — |
| 199 | C4⋊C4 | — | 2 | 1 | no | — |
| 200 | C4⋊C4 | — | 2 | 1 | no | — |
| 201 | C4⋊C4 | — | 2 | 1 | no | — |
| 202 | C4⋊C4 | — | 2 | 1 | no | — |
| 203 | C4⋊C4 | — | 2 | 1 | no | — |
| 204 | C4⋊C4 | — | 2 | 1 | no | — |
| 205 | C4⋊C4 | — | 2 | 1 | no | — |
| 206 | C4⋊C4 | — | 4 | 2 | no | — |
| 207 | C4⋊C4 | — | 4 | 2 | no | — |
| 208 | C4⋊C4 | — | 8 | 2 | no | — |
| 209 | C22⋊C4 | — | 4 | 4 | no | — |
| 210 | C22⋊C4 | — | 4 | 2 | no | — |
| 211 | C22⋊C4 | — | 4 | 2 | no | — |
| 212 | C22⋊C4 | — | 4 | 4 | no | — |
| 213 | C22⋊C4 | — | 4 | 4 | no | — |
| 214 | C22⋊C4 | — | 8 | 2 | no | — |
| 215 | C42 | — | 2 | 1 | no | — |
| 216 | C42 | — | 2 | 1 | no | — |
| 217 | C42 | — | 2 | 1 | no | — |
| 218 | C42 | — | 2 | 1 | no | — |
| 219 | C42 | C2×D4 | 1 | 2 | yes | — |
| 220 | C42 | C2×D4 | 1 | 2 | yes | — |
| 221 | C23 | — | 2 | 2 | no | — |
| 222 | C23 | — | 2 | 2 | no | — |
| 223 | C23 | — | 4 | 1 | no | — |
| 224 | C23 | — | 4 | 1 | no | — |
| 225 | C23 | — | 4 | 1 | no | — |
| 226 | C23 | — | 4 | 1 | no | — |
| 227 | C23 | — | 4 | 2 | no | — |
| 228 | C23 | — | 4 | 2 | no | — |
| 229 | C23 | — | 4 | 2 | no | — |
| 230 | C23 | — | 4 | 2 | no | — |
| 231 | C23 | — | 4 | 1 | no | — |
| 232 | C23 | — | 4 | 1 | no | — |
| 233 | C23 | — | 4 | 1 | no | — |
| 234 | C23 | — | 4 | 1 | no | — |
| 235 | C23 | — | 4 | 1 | no | — |
| 236 | C23 | — | 4 | 1 | no | — |
| 237 | C23 | — | 4 | 2 | no | — |
| 238 | C23 | — | 4 | 2 | no | — |
| 239 | C23 | — | 4 | 2 | no | — |
| 240 | C23 | — | 4 | 2 | no | — |
| 241 | C23 | C22×D4 | 1 | 1 | yes | characteristic |
| 242 | D4 | — | 2 | 2 | no | — |
| 243 | D4 | — | 2 | 2 | no | — |
| 244 | D4 | — | 2 | 2 | no | — |
| 245 | D4 | — | 2 | 2 | no | — |
| 246 | D4 | — | 4 | 1 | no | — |
| 247 | D4 | — | 4 | 1 | no | — |
| 248 | D4 | — | 4 | 1 | no | — |
| 249 | D4 | — | 4 | 1 | no | — |
| 250 | D4 | — | 4 | 1 | no | — |
| 251 | D4 | — | 4 | 1 | no | — |
| 252 | D4 | — | 4 | 1 | no | — |
| 253 | D4 | — | 4 | 1 | no | — |
| 254 | D4 | — | 4 | 1 | no | — |
| 255 | D4 | — | 4 | 1 | no | — |
| 256 | D4 | — | 4 | 1 | no | — |
| 257 | D4 | — | 4 | 1 | no | — |
| 258 | D4 | — | 8 | 8 | no | — |
| 259 | D4 | — | 8 | 4 | no | — |
| 260 | D4 | — | 8 | 4 | no | — |
| 261 | D4 | — | 8 | 8 | no | — |
| 262 | C2×C4 | — | 2 | 2 | no | — |
| 263 | C2×C4 | — | 2 | 2 | no | — |
| 264 | C2×C4 | — | 2 | 2 | no | — |
| 265 | C2×C4 | — | 2 | 2 | no | — |
| 266 | C2×C4 | — | 2 | 2 | no | — |
| 267 | C2×C4 | — | 2 | 2 | no | — |
| 268 | C2×C4 | — | 2 | 2 | no | — |
| 269 | C2×C4 | — | 4 | 1 | no | — |
| 270 | C2×C4 | — | 4 | 1 | no | — |
| 271 | C2×C4 | — | 4 | 1 | no | — |
| 272 | C2×C4 | — | 4 | 1 | no | — |
| 273 | C2×C4 | — | 4 | 2 | no | — |
| 274 | C2×C4 | — | 4 | 2 | no | — |
| 275 | C2×C4 | — | 4 | 2 | no | — |
| 276 | C2×C4 | — | 4 | 2 | no | — |
| 277 | C2×C4 | — | 8 | 4 | no | — |
| 278 | C2×C4 | — | 8 | 4 | no | — |
| 279 | C2×C4 | #127 | 1 | 2 | yes | — |
| 280 | C2×C4 | #127 | 1 | 2 | yes | — |
| 281 | C2×C4 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 282 | C2×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 283 | C2×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 284 | C2×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 285 | C2×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 286 | C2×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 287 | C2×C4 | 2−1+4 | 1 | 1 | yes | characteristic |
| 288 | C8 | — | 2 | 2 | no | — |
| 289 | C8 | — | 2 | 2 | no | — |
| 290 | C8 | — | 2 | 2 | no | — |
| 291 | C8 | — | 2 | 2 | no | — |
| 292 | C22 | — | 4 | 4 | no | — |
| 293 | C22 | — | 4 | 2 | no | — |
| 294 | C22 | — | 4 | 2 | no | — |
| 295 | C22 | — | 4 | 4 | no | — |
| 296 | C22 | — | 8 | 2 | no | — |
| 297 | C22 | — | 8 | 1 | no | — |
| 298 | C22 | — | 8 | 1 | no | — |
| 299 | C22 | — | 8 | 1 | no | — |
| 300 | C22 | — | 8 | 1 | no | — |
| 301 | C22 | — | 8 | 2 | no | — |
| 302 | C22 | — | 8 | 2 | no | — |
| 303 | C22 | — | 8 | 2 | no | — |
| 304 | C22 | — | 8 | 1 | no | — |
| 305 | C22 | — | 8 | 1 | no | — |
| 306 | C22 | — | 8 | 1 | no | — |
| 307 | C22 | — | 8 | 1 | no | — |
| 308 | C22 | — | 8 | 1 | no | — |
| 309 | C22 | — | 8 | 1 | no | — |
| 310 | C22 | — | 8 | 2 | no | — |
| 311 | C22 | — | 8 | 2 | no | — |
| 312 | C22 | C2×#127 | 1 | 1 | yes | characteristic |
| 313 | C22 | #546 | 1 | 1 | yes | characteristic |
| 314 | C22 | #548 | 1 | 1 | yes | characteristic |
| 315 | C22 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 316 | C22 | #576 | 1 | 2 | yes | — |
| 317 | C4 | — | 2 | 2 | no | — |
| 318 | C4 | — | 2 | 2 | no | — |
| 319 | C4 | — | 2 | 4 | no | — |
| 320 | C4 | — | 4 | 2 | no | — |
| 321 | C4 | — | 8 | 1 | no | — |
| 322 | C4 | — | 8 | 1 | no | — |
| 323 | C4 | — | 8 | 1 | no | — |
| 324 | C4 | — | 8 | 1 | no | — |
| 325 | C4 | #525 | 1 | 1 | yes | characteristic |
| 326 | C4 | #537 | 1 | 1 | yes | characteristic |
| 327 | C4 | #546 | 1 | 1 | yes | characteristic |
| 328 | C4 | #548 | 1 | 1 | yes | characteristic |
| 329 | C2 | — | 8 | 2 | no | — |
| 330 | C2 | — | 8 | 2 | no | — |
| 331 | C2 | — | 16 | 1 | no | — |
| 332 | C2 | — | 16 | 1 | no | — |
| 333 | C2 | #2540 | 1 | 1 | yes | characteristic |
| 334 | C2 | #3151 | 1 | 1 | yes | characteristic |
| 335 | C2 | #3155 | 1 | 1 | yes | characteristic |
| 336 | C2 | #3318 | 1 | 2 | yes | — |
| 337 | C2 | #3366 | 1 | 2 | yes | — |
Finite Group Databasebeta