| 1 | Q8×Q16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #3369 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #3362 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #3304 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #1719 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #1698 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #1684 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #1682 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #1675 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #1645 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #1638 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #1631 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #1623 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #1584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | SD16⋊C8 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | Q82 | C22 | 1 | 1 | yes | characteristic |
| 17 | Q82 | C22 | 1 | 1 | yes | characteristic |
| 18 | #556 | C22 | 1 | 1 | yes | characteristic |
| 19 | #550 | C22 | 1 | 1 | yes | characteristic |
| 20 | #500 | — | 2 | 1 | no | — |
| 21 | #500 | C22 | 1 | 1 | yes | characteristic |
| 22 | #492 | C22 | 1 | 1 | yes | characteristic |
| 23 | #489 | — | 2 | 1 | no | — |
| 24 | #487 | C22 | 1 | 1 | yes | characteristic |
| 25 | #487 | C22 | 1 | 1 | yes | characteristic |
| 26 | #486 | — | 2 | 1 | no | — |
| 27 | #486 | C22 | 1 | 1 | yes | characteristic |
| 28 | #486 | C22 | 1 | 1 | yes | characteristic |
| 29 | #482 | — | 2 | 1 | no | — |
| 30 | #477 | — | 2 | 1 | no | — |
| 31 | #477 | — | 2 | 1 | no | — |
| 32 | #477 | C22 | 1 | 1 | yes | characteristic |
| 33 | #477 | C22 | 1 | 1 | yes | characteristic |
| 34 | #476 | — | 2 | 1 | no | — |
| 35 | #476 | C22 | 1 | 1 | yes | characteristic |
| 36 | #476 | C22 | 1 | 1 | yes | characteristic |
| 37 | #475 | — | 2 | 1 | no | — |
| 38 | #475 | C22 | 1 | 1 | yes | characteristic |
| 39 | #465 | — | 2 | 1 | no | — |
| 40 | #464 | — | 2 | 1 | no | — |
| 41 | #462 | C22 | 1 | 1 | yes | characteristic |
| 42 | #460 | — | 2 | 1 | no | — |
| 43 | #460 | C22 | 1 | 1 | yes | characteristic |
| 44 | #460 | C22 | 1 | 1 | yes | characteristic |
| 45 | #452 | — | 2 | 1 | no | — |
| 46 | #446 | C22 | 1 | 1 | yes | characteristic |
| 47 | C8×Q8 | C22 | 1 | 1 | yes | characteristic |
| 48 | C8×Q8 | C22 | 1 | 1 | yes | characteristic |
| 49 | #441 | — | 2 | 1 | no | — |
| 50 | C4×Q16 | — | 2 | 1 | no | — |
| 51 | C4×Q16 | C22 | 1 | 1 | yes | characteristic |
| 52 | C4×SD16 | — | 2 | 1 | no | — |
| 53 | C4×SD16 | C22 | 1 | 1 | yes | characteristic |
| 54 | C8×D4 | C22 | 1 | 1 | yes | characteristic |
| 55 | #416 | — | 2 | 1 | no | — |
| 56 | #335 | C22 | 1 | 1 | yes | characteristic |
| 57 | #335 | C22 | 1 | 1 | yes | characteristic |
| 58 | #333 | C22 | 1 | 1 | yes | characteristic |
| 59 | #333 | C22 | 1 | 1 | yes | characteristic |
| 60 | #332 | C22 | 1 | 1 | yes | characteristic |
| 61 | #331 | C22 | 1 | 1 | yes | characteristic |
| 62 | Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 63 | Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 64 | Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 65 | D4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 66 | #322 | C22 | 1 | 1 | yes | characteristic |
| 67 | C2×#41 | — | 2 | 1 | no | — |
| 68 | C2×Q16 | — | 2 | 1 | no | — |
| 69 | C2×Q16 | D4 | 1 | 1 | yes | characteristic |
| 70 | C2×SD16 | — | 2 | 1 | no | — |
| 71 | C2×SD16 | — | 2 | 1 | no | — |
| 72 | C2×SD16 | — | 4 | 1 | no | — |
| 73 | C2×SD16 | D4 | 1 | 1 | yes | characteristic |
| 74 | C22×C8 | — | 2 | 1 | no | — |
| 75 | C4⋊Q8 | — | 2 | 1 | no | — |
| 76 | C4⋊Q8 | — | 2 | 1 | no | — |
| 77 | C4⋊Q8 | — | 2 | 1 | no | — |
| 78 | C4⋊Q8 | — | 2 | 1 | no | — |
| 79 | C4⋊Q8 | — | 4 | 1 | no | — |
| 80 | C4⋊Q8 | — | 4 | 1 | no | — |
| 81 | C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 82 | C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 83 | C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 84 | #127 | — | 2 | 1 | no | — |
| 85 | #127 | C23 | 1 | 1 | yes | characteristic |
| 86 | #126 | — | 4 | 1 | no | — |
| 87 | #124 | — | 2 | 1 | no | — |
| 88 | C22⋊Q8 | — | 2 | 1 | no | — |
| 89 | #121 | — | 2 | 1 | no | — |
| 90 | #121 | — | 4 | 1 | no | — |
| 91 | C4×Q8 | — | 2 | 1 | no | — |
| 92 | C4×Q8 | — | 2 | 1 | no | — |
| 93 | C4×Q8 | — | 2 | 1 | no | — |
| 94 | C4×Q8 | — | 2 | 1 | no | — |
| 95 | C4×Q8 | — | 2 | 1 | no | — |
| 96 | C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 97 | C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 98 | C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 99 | C4×D4 | — | 2 | 1 | no | — |
| 100 | C4×D4 | C23 | 1 | 1 | yes | characteristic |
| 101 | #117 | — | 2 | 1 | no | — |
| 102 | #107 | — | 2 | 1 | no | — |
| 103 | #107 | — | 2 | 1 | no | — |
| 104 | #107 | — | 2 | 1 | no | — |
| 105 | #107 | — | 2 | 1 | no | — |
| 106 | #107 | D4 | 1 | 1 | yes | characteristic |
| 107 | #106 | — | 2 | 1 | no | — |
| 108 | #106 | — | 2 | 1 | no | — |
| 109 | #106 | — | 2 | 1 | no | — |
| 110 | #106 | D4 | 1 | 1 | yes | characteristic |
| 111 | C4⋊C8 | — | 2 | 1 | no | — |
| 112 | C4⋊C8 | — | 2 | 1 | no | — |
| 113 | C4⋊C8 | — | 2 | 1 | no | — |
| 114 | C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 115 | C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 116 | C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 117 | C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 118 | #103 | — | 2 | 1 | no | — |
| 119 | #103 | — | 2 | 1 | no | — |
| 120 | #103 | — | 2 | 1 | no | — |
| 121 | #103 | — | 2 | 1 | no | — |
| 122 | #103 | — | 2 | 1 | no | — |
| 123 | #103 | — | 2 | 1 | no | — |
| 124 | #103 | — | 4 | 1 | no | — |
| 125 | #103 | D4 | 1 | 1 | yes | characteristic |
| 126 | #103 | D4 | 1 | 1 | yes | characteristic |
| 127 | #103 | D4 | 1 | 1 | yes | characteristic |
| 128 | #102 | — | 2 | 1 | no | — |
| 129 | #102 | — | 2 | 1 | no | — |
| 130 | #102 | — | 2 | 1 | no | — |
| 131 | #102 | — | 2 | 1 | no | — |
| 132 | #102 | — | 2 | 1 | no | — |
| 133 | #102 | — | 2 | 1 | no | — |
| 134 | #102 | — | 2 | 1 | no | — |
| 135 | #102 | — | 2 | 1 | no | — |
| 136 | #102 | D4 | 1 | 1 | yes | characteristic |
| 137 | C22⋊C8 | — | 2 | 1 | no | — |
| 138 | #97 | — | 2 | 1 | no | — |
| 139 | C4×C8 | — | 2 | 1 | no | — |
| 140 | C4×C8 | — | 2 | 1 | no | — |
| 141 | C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 142 | C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 143 | C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 144 | #41 | — | 4 | 2 | no | — |
| 145 | #41 | — | 8 | 1 | no | — |
| 146 | C2×Q8 | — | 2 | 1 | no | — |
| 147 | C2×Q8 | — | 2 | 1 | no | — |
| 148 | C2×Q8 | — | 2 | 1 | no | — |
| 149 | C2×Q8 | — | 4 | 1 | no | — |
| 150 | C2×Q8 | — | 4 | 1 | no | — |
| 151 | C2×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 152 | C2×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | C2×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×D4 | — | 2 | 1 | no | — |
| 155 | C2×D4 | — | 2 | 1 | no | — |
| 156 | C2×D4 | — | 2 | 1 | no | — |
| 157 | C2×D4 | — | 4 | 1 | no | — |
| 158 | C2×D4 | — | 4 | 1 | no | — |
| 159 | C2×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C22×C4 | — | 2 | 1 | no | — |
| 161 | C22×C4 | — | 4 | 1 | no | — |
| 162 | Q16 | — | 2 | 2 | no | — |
| 163 | Q16 | — | 4 | 2 | no | — |
| 164 | SD16 | — | 2 | 2 | no | — |
| 165 | SD16 | — | 4 | 2 | no | — |
| 166 | SD16 | — | 8 | 1 | no | — |
| 167 | SD16 | — | 8 | 2 | no | — |
| 168 | C2×C8 | — | 2 | 1 | no | — |
| 169 | C2×C8 | — | 2 | 1 | no | — |
| 170 | C2×C8 | — | 2 | 1 | no | — |
| 171 | C2×C8 | — | 2 | 1 | no | — |
| 172 | C2×C8 | — | 2 | 1 | no | — |
| 173 | C2×C8 | — | 8 | 1 | no | — |
| 174 | C2×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | C2×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C2×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 177 | C2×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | C4⋊C4 | — | 2 | 1 | no | — |
| 179 | C4⋊C4 | — | 2 | 1 | no | — |
| 180 | C4⋊C4 | — | 2 | 1 | no | — |
| 181 | C4⋊C4 | — | 2 | 1 | no | — |
| 182 | C4⋊C4 | — | 2 | 1 | no | — |
| 183 | C4⋊C4 | — | 2 | 1 | no | — |
| 184 | C4⋊C4 | — | 2 | 1 | no | — |
| 185 | C4⋊C4 | — | 2 | 1 | no | — |
| 186 | C4⋊C4 | — | 2 | 1 | no | — |
| 187 | C4⋊C4 | — | 4 | 1 | no | — |
| 188 | C4⋊C4 | — | 4 | 1 | no | — |
| 189 | C4⋊C4 | — | 4 | 1 | no | — |
| 190 | C4⋊C4 | — | 4 | 1 | no | — |
| 191 | C4⋊C4 | — | 4 | 1 | no | — |
| 192 | C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C22⋊C4 | — | 2 | 1 | no | — |
| 197 | C22⋊C4 | — | 4 | 1 | no | — |
| 198 | C22⋊C4 | — | 4 | 1 | no | — |
| 199 | C22⋊C4 | — | 4 | 1 | no | — |
| 200 | C42 | — | 2 | 1 | no | — |
| 201 | C42 | — | 2 | 1 | no | — |
| 202 | C42 | — | 2 | 1 | no | — |
| 203 | C42 | — | 4 | 1 | no | — |
| 204 | C42 | — | 4 | 1 | no | — |
| 205 | C42 | — | 4 | 1 | no | — |
| 206 | C42 | C24 | 1 | 1 | yes | characteristic |
| 207 | C23 | — | 2 | 1 | no | — |
| 208 | C23 | — | 4 | 1 | no | — |
| 209 | Q8 | — | 2 | 1 | no | — |
| 210 | Q8 | — | 2 | 1 | no | — |
| 211 | Q8 | — | 2 | 1 | no | — |
| 212 | Q8 | — | 2 | 1 | no | — |
| 213 | Q8 | — | 4 | 1 | no | — |
| 214 | Q8 | — | 4 | 1 | no | — |
| 215 | Q8 | — | 8 | 1 | no | — |
| 216 | Q8 | — | 8 | 1 | no | — |
| 217 | Q8 | — | 16 | 1 | no | — |
| 218 | Q8 | — | 16 | 1 | no | — |
| 219 | Q8 | #135 | 1 | 2 | yes | — |
| 220 | Q8 | #137 | 1 | 2 | yes | — |
| 221 | D4 | — | 2 | 1 | no | — |
| 222 | D4 | — | 2 | 1 | no | — |
| 223 | D4 | — | 4 | 1 | no | — |
| 224 | D4 | — | 4 | 1 | no | — |
| 225 | D4 | — | 4 | 1 | no | — |
| 226 | D4 | — | 4 | 1 | no | — |
| 227 | D4 | — | 8 | 2 | no | — |
| 228 | D4 | — | 8 | 1 | no | — |
| 229 | D4 | — | 16 | 1 | no | — |
| 230 | C2×C4 | — | 2 | 1 | no | — |
| 231 | C2×C4 | — | 2 | 1 | no | — |
| 232 | C2×C4 | — | 2 | 1 | no | — |
| 233 | C2×C4 | — | 2 | 1 | no | — |
| 234 | C2×C4 | — | 2 | 1 | no | — |
| 235 | C2×C4 | — | 2 | 1 | no | — |
| 236 | C2×C4 | — | 2 | 1 | no | — |
| 237 | C2×C4 | — | 4 | 1 | no | — |
| 238 | C2×C4 | — | 4 | 1 | no | — |
| 239 | C2×C4 | — | 4 | 1 | no | — |
| 240 | C2×C4 | — | 4 | 1 | no | — |
| 241 | C2×C4 | — | 4 | 1 | no | — |
| 242 | C2×C4 | — | 8 | 2 | no | — |
| 243 | C2×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 244 | C2×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 245 | C2×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 246 | C8 | — | 2 | 1 | no | — |
| 247 | C8 | — | 2 | 1 | no | — |
| 248 | C8 | — | 2 | 1 | no | — |
| 249 | C8 | — | 2 | 1 | no | — |
| 250 | C8 | — | 4 | 1 | no | — |
| 251 | C8 | — | 4 | 1 | no | — |
| 252 | C8 | — | 4 | 1 | no | — |
| 253 | C8 | — | 4 | 1 | no | — |
| 254 | C8 | — | 4 | 1 | no | — |
| 255 | C22 | — | 4 | 1 | no | — |
| 256 | C22 | — | 4 | 1 | no | — |
| 257 | C22 | — | 4 | 1 | no | — |
| 258 | C22 | — | 8 | 1 | no | — |
| 259 | C22 | — | 8 | 1 | no | — |
| 260 | C22 | — | 8 | 1 | no | — |
| 261 | C22 | D42 | 1 | 1 | yes | characteristic |
| 262 | C4 | — | 2 | 2 | no | — |
| 263 | C4 | — | 2 | 2 | no | — |
| 264 | C4 | — | 2 | 1 | no | — |
| 265 | C4 | — | 4 | 1 | no | — |
| 266 | C4 | — | 4 | 1 | no | — |
| 267 | C4 | — | 4 | 1 | no | — |
| 268 | C4 | — | 4 | 1 | no | — |
| 269 | C4 | — | 4 | 1 | no | — |
| 270 | C4 | — | 8 | 1 | no | — |
| 271 | C4 | — | 8 | 1 | no | — |
| 272 | C4 | — | 8 | 1 | no | — |
| 273 | C4 | C2×#135 | 1 | 1 | yes | characteristic |
| 274 | C4 | C2×#137 | 1 | 1 | yes | characteristic |
| 275 | C4 | #577 | 1 | 1 | yes | characteristic |
| 276 | C4 | #578 | 1 | 1 | yes | characteristic |
| 277 | C2 | — | 8 | 1 | no | — |
| 278 | C2 | — | 16 | 1 | no | — |
| 279 | C2 | #3266 | 1 | 1 | yes | characteristic |
| 280 | C2 | #3285 | 1 | 1 | yes | characteristic |
| 281 | C2 | #3288 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta