| 1 | #33963 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #33947 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13723 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13722 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13721 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13708 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13707 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13703 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13689 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13689 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13685 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #13660 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13654 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #13652 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C4×D32 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #3396 | — | 2 | 1 | no | — |
| 17 | #3380 | — | 2 | 1 | no | — |
| 18 | C2×SD64 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×D32 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×D32 | C22 | 1 | 1 | yes | characteristic |
| 21 | #2253 | C22 | 1 | 1 | yes | characteristic |
| 22 | #2253 | C22 | 1 | 1 | yes | characteristic |
| 23 | #2252 | C22 | 1 | 1 | yes | characteristic |
| 24 | #2249 | C22 | 1 | 1 | yes | characteristic |
| 25 | #2249 | C22 | 1 | 1 | yes | characteristic |
| 26 | #2246 | C22 | 1 | 1 | yes | characteristic |
| 27 | #2228 | — | 2 | 1 | no | — |
| 28 | #2228 | — | 2 | 1 | no | — |
| 29 | #2226 | — | 2 | 1 | no | — |
| 30 | #2210 | — | 2 | 1 | no | — |
| 31 | #2210 | — | 2 | 1 | no | — |
| 32 | #2207 | — | 2 | 1 | no | — |
| 33 | Q8×C16 | C22 | 1 | 1 | yes | characteristic |
| 34 | C4×Q32 | C22 | 1 | 1 | yes | characteristic |
| 35 | C4×D16 | C22 | 1 | 1 | yes | characteristic |
| 36 | C4×D16 | C22 | 1 | 1 | yes | characteristic |
| 37 | C4×D16 | C22 | 1 | 1 | yes | characteristic |
| 38 | C4×D16 | C22 | 1 | 1 | yes | characteristic |
| 39 | C4×D16 | C22 | 1 | 1 | yes | characteristic |
| 40 | #1424 | C22 | 1 | 1 | yes | characteristic |
| 41 | #1423 | C22 | 1 | 1 | yes | characteristic |
| 42 | #1423 | C22 | 1 | 1 | yes | characteristic |
| 43 | C4⋊C32 | C22 | 1 | 1 | yes | characteristic |
| 44 | C4⋊C32 | C22 | 1 | 1 | yes | characteristic |
| 45 | C4⋊C32 | C22 | 1 | 1 | yes | characteristic |
| 46 | #1416 | C22 | 1 | 1 | yes | characteristic |
| 47 | #1416 | C22 | 1 | 1 | yes | characteristic |
| 48 | #1416 | C22 | 1 | 1 | yes | characteristic |
| 49 | #1415 | C22 | 1 | 1 | yes | characteristic |
| 50 | #1415 | C22 | 1 | 1 | yes | characteristic |
| 51 | #1415 | C22 | 1 | 1 | yes | characteristic |
| 52 | #1415 | C22 | 1 | 1 | yes | characteristic |
| 53 | #1415 | C22 | 1 | 1 | yes | characteristic |
| 54 | #1415 | C22 | 1 | 1 | yes | characteristic |
| 55 | #1415 | C22 | 1 | 1 | yes | characteristic |
| 56 | #1397 | C22 | 1 | 1 | yes | characteristic |
| 57 | #1397 | C22 | 1 | 1 | yes | characteristic |
| 58 | C4×C32 | C22 | 1 | 1 | yes | characteristic |
| 59 | #559 | — | 4 | 1 | no | — |
| 60 | #554 | — | 4 | 1 | no | — |
| 61 | C2×Q32 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×SD32 | — | 2 | 1 | no | — |
| 63 | C2×SD32 | — | 2 | 1 | no | — |
| 64 | C2×D16 | — | 2 | 1 | no | — |
| 65 | C2×D16 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×D16 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×D16 | C23 | 1 | 1 | yes | characteristic |
| 68 | #500 | — | 2 | 1 | no | — |
| 69 | #499 | — | 2 | 1 | no | — |
| 70 | #499 | — | 2 | 1 | no | — |
| 71 | #495 | — | 2 | 1 | no | — |
| 72 | #495 | — | 2 | 1 | no | — |
| 73 | #493 | — | 2 | 1 | no | — |
| 74 | #478 | — | 4 | 1 | no | — |
| 75 | #478 | — | 4 | 1 | no | — |
| 76 | #476 | — | 4 | 1 | no | — |
| 77 | #463 | — | 4 | 1 | no | — |
| 78 | #463 | — | 4 | 1 | no | — |
| 79 | #460 | — | 4 | 1 | no | — |
| 80 | C8×Q8 | D4 | 1 | 1 | yes | characteristic |
| 81 | C4×Q16 | — | 2 | 1 | no | — |
| 82 | C4×D8 | — | 2 | 1 | no | — |
| 83 | C4×D8 | — | 2 | 1 | no | — |
| 84 | C4×D8 | — | 2 | 1 | no | — |
| 85 | C4×D8 | — | 2 | 1 | no | — |
| 86 | C4×D8 | — | 2 | 1 | no | — |
| 87 | SD64 | — | 2 | 2 | no | — |
| 88 | D32 | — | 2 | 2 | no | — |
| 89 | D32 | — | 2 | 2 | no | — |
| 90 | C2×C32 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C32 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C32 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C32 | C23 | 1 | 1 | yes | characteristic |
| 94 | #367 | — | 2 | 1 | no | — |
| 95 | #367 | — | 2 | 1 | no | — |
| 96 | #366 | — | 2 | 1 | no | — |
| 97 | #366 | C23 | 1 | 1 | yes | characteristic |
| 98 | #366 | C23 | 1 | 1 | yes | characteristic |
| 99 | #366 | C23 | 1 | 1 | yes | characteristic |
| 100 | #366 | C23 | 1 | 1 | yes | characteristic |
| 101 | C4⋊C16 | D4 | 1 | 1 | yes | characteristic |
| 102 | C4⋊C16 | D4 | 1 | 1 | yes | characteristic |
| 103 | C4⋊C16 | D4 | 1 | 1 | yes | characteristic |
| 104 | #358 | — | 2 | 1 | no | — |
| 105 | #357 | — | 2 | 1 | no | — |
| 106 | #357 | — | 2 | 1 | no | — |
| 107 | #357 | — | 2 | 1 | no | — |
| 108 | #357 | — | 2 | 1 | no | — |
| 109 | #357 | — | 2 | 1 | no | — |
| 110 | C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 111 | C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 112 | C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×Q16 | — | 2 | 1 | no | — |
| 114 | C2×SD16 | — | 4 | 1 | no | — |
| 115 | C2×SD16 | — | 4 | 1 | no | — |
| 116 | C2×D8 | — | 2 | 1 | no | — |
| 117 | C2×D8 | — | 2 | 1 | no | — |
| 118 | C2×D8 | — | 2 | 1 | no | — |
| 119 | C2×D8 | — | 4 | 1 | no | — |
| 120 | C4⋊Q8 | — | 4 | 1 | no | — |
| 121 | #127 | — | 4 | 1 | no | — |
| 122 | #125 | — | 4 | 1 | no | — |
| 123 | #125 | — | 4 | 1 | no | — |
| 124 | #124 | — | 4 | 1 | no | — |
| 125 | #124 | — | 4 | 1 | no | — |
| 126 | #124 | — | 8 | 1 | no | — |
| 127 | #123 | — | 8 | 1 | no | — |
| 128 | #123 | — | 8 | 1 | no | — |
| 129 | C22⋊Q8 | — | 8 | 1 | no | — |
| 130 | C22⋊Q8 | — | 8 | 1 | no | — |
| 131 | C22⋊Q8 | — | 8 | 1 | no | — |
| 132 | C4×Q8 | — | 4 | 1 | no | — |
| 133 | C4×Q8 | D8 | 1 | 1 | yes | characteristic |
| 134 | C4×D4 | — | 4 | 1 | no | — |
| 135 | C4×D4 | — | 4 | 1 | no | — |
| 136 | C4×D4 | — | 4 | 1 | no | — |
| 137 | C4×D4 | — | 4 | 1 | no | — |
| 138 | C4×D4 | — | 4 | 1 | no | — |
| 139 | C4×D4 | — | 8 | 1 | no | — |
| 140 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 141 | Q32 | — | 2 | 1 | no | — |
| 142 | Q32 | — | 2 | 1 | no | — |
| 143 | SD32 | — | 8 | 1 | no | — |
| 144 | SD32 | — | 8 | 1 | no | — |
| 145 | D16 | — | 2 | 1 | no | — |
| 146 | D16 | — | 2 | 1 | no | — |
| 147 | D16 | — | 2 | 1 | no | — |
| 148 | D16 | — | 2 | 1 | no | — |
| 149 | D16 | — | 2 | 1 | no | — |
| 150 | D16 | — | 8 | 1 | no | — |
| 151 | D16 | #41 | 1 | 2 | yes | — |
| 152 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 155 | C2×C16 | C24 | 1 | 1 | yes | characteristic |
| 156 | #107 | — | 2 | 1 | no | — |
| 157 | #107 | — | 2 | 1 | no | — |
| 158 | #107 | — | 2 | 1 | no | — |
| 159 | #107 | — | 2 | 1 | no | — |
| 160 | #107 | — | 4 | 1 | no | — |
| 161 | #106 | — | 4 | 1 | no | — |
| 162 | #106 | — | 4 | 1 | no | — |
| 163 | C4⋊C8 | D8 | 1 | 1 | yes | characteristic |
| 164 | C4⋊C8 | D8 | 1 | 1 | yes | characteristic |
| 165 | C4⋊C8 | D8 | 1 | 1 | yes | characteristic |
| 166 | #103 | — | 4 | 1 | no | — |
| 167 | #102 | — | 4 | 1 | no | — |
| 168 | #102 | — | 4 | 1 | no | — |
| 169 | #102 | — | 4 | 1 | no | — |
| 170 | #102 | — | 4 | 1 | no | — |
| 171 | #102 | — | 4 | 1 | no | — |
| 172 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 173 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | C32 | — | 2 | 1 | no | — |
| 176 | C32 | — | 2 | 1 | no | — |
| 177 | C32 | — | 2 | 1 | no | — |
| 178 | C32 | — | 2 | 1 | no | — |
| 179 | C2×Q8 | — | 4 | 1 | no | — |
| 180 | C2×Q8 | — | 8 | 1 | no | — |
| 181 | C2×Q8 | D16 | 1 | 1 | yes | characteristic |
| 182 | C2×D4 | — | 4 | 1 | no | — |
| 183 | C2×D4 | — | 4 | 1 | no | — |
| 184 | C2×D4 | — | 4 | 1 | no | — |
| 185 | C2×D4 | — | 8 | 1 | no | — |
| 186 | C2×D4 | — | 8 | 1 | no | — |
| 187 | C22×C4 | — | 8 | 1 | no | — |
| 188 | C22×C4 | — | 8 | 1 | no | — |
| 189 | C22×C4 | — | 8 | 1 | no | — |
| 190 | C22×C4 | — | 8 | 1 | no | — |
| 191 | C22×C4 | — | 8 | 1 | no | — |
| 192 | Q16 | — | 4 | 1 | no | — |
| 193 | Q16 | — | 4 | 1 | no | — |
| 194 | SD16 | — | 16 | 1 | no | — |
| 195 | SD16 | — | 16 | 1 | no | — |
| 196 | D8 | — | 2 | 2 | no | — |
| 197 | D8 | — | 4 | 1 | no | — |
| 198 | D8 | — | 4 | 1 | no | — |
| 199 | D8 | — | 4 | 1 | no | — |
| 200 | D8 | — | 4 | 1 | no | — |
| 201 | D8 | — | 4 | 1 | no | — |
| 202 | D8 | — | 16 | 1 | no | — |
| 203 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 204 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 205 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 206 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 207 | C4⋊C4 | — | 4 | 1 | no | — |
| 208 | C4⋊C4 | — | 4 | 1 | no | — |
| 209 | C4⋊C4 | — | 4 | 1 | no | — |
| 210 | C4⋊C4 | — | 4 | 1 | no | — |
| 211 | C4⋊C4 | — | 8 | 1 | no | — |
| 212 | C4⋊C4 | — | 8 | 1 | no | — |
| 213 | C4⋊C4 | — | 8 | 1 | no | — |
| 214 | C4⋊C4 | — | 8 | 1 | no | — |
| 215 | C4⋊C4 | — | 8 | 1 | no | — |
| 216 | C4⋊C4 | — | 8 | 1 | no | — |
| 217 | C4⋊C4 | D16 | 1 | 1 | yes | characteristic |
| 218 | C4⋊C4 | D16 | 1 | 1 | yes | characteristic |
| 219 | C4⋊C4 | D16 | 1 | 1 | yes | characteristic |
| 220 | C22⋊C4 | — | 8 | 1 | no | — |
| 221 | C22⋊C4 | — | 8 | 1 | no | — |
| 222 | C22⋊C4 | — | 8 | 1 | no | — |
| 223 | C22⋊C4 | — | 8 | 1 | no | — |
| 224 | C22⋊C4 | — | 8 | 1 | no | — |
| 225 | C22⋊C4 | — | 8 | 1 | no | — |
| 226 | C22⋊C4 | — | 8 | 1 | no | — |
| 227 | C22⋊C4 | — | 8 | 1 | no | — |
| 228 | C22⋊C4 | — | 8 | 1 | no | — |
| 229 | C42 | — | 8 | 1 | no | — |
| 230 | C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 231 | C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 232 | C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 233 | C16 | — | 2 | 1 | no | — |
| 234 | C16 | — | 2 | 1 | no | — |
| 235 | C16 | — | 2 | 1 | no | — |
| 236 | C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 237 | C16 | 2−1+4 | 1 | 1 | yes | characteristic |
| 238 | C23 | — | 8 | 1 | no | — |
| 239 | C23 | — | 8 | 1 | no | — |
| 240 | C23 | — | 8 | 1 | no | — |
| 241 | Q8 | — | 4 | 1 | no | — |
| 242 | Q8 | — | 8 | 1 | no | — |
| 243 | Q8 | — | 8 | 1 | no | — |
| 244 | Q8 | — | 32 | 1 | no | — |
| 245 | D4 | — | 4 | 2 | no | — |
| 246 | D4 | — | 8 | 1 | no | — |
| 247 | D4 | — | 8 | 1 | no | — |
| 248 | D4 | — | 8 | 1 | no | — |
| 249 | D4 | — | 8 | 1 | no | — |
| 250 | D4 | — | 8 | 1 | no | — |
| 251 | D4 | — | 16 | 2 | no | — |
| 252 | D4 | — | 32 | 1 | no | — |
| 253 | C2×C4 | — | 8 | 1 | no | — |
| 254 | C2×C4 | — | 8 | 1 | no | — |
| 255 | C2×C4 | — | 8 | 1 | no | — |
| 256 | C2×C4 | — | 8 | 1 | no | — |
| 257 | C2×C4 | — | 8 | 1 | no | — |
| 258 | C2×C4 | — | 16 | 2 | no | — |
| 259 | C2×C4 | — | 32 | 1 | no | — |
| 260 | C2×C4 | — | 32 | 1 | no | — |
| 261 | C2×C4 | — | 32 | 1 | no | — |
| 262 | C2×C4 | — | 32 | 1 | no | — |
| 263 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 264 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 265 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 266 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 267 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 268 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 269 | C2×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 270 | C8 | — | 2 | 1 | no | — |
| 271 | C8 | — | 2 | 1 | no | — |
| 272 | C8 | — | 2 | 1 | no | — |
| 273 | C8 | #548 | 1 | 1 | yes | characteristic |
| 274 | C8 | #577 | 1 | 1 | yes | characteristic |
| 275 | C22 | — | 8 | 2 | no | — |
| 276 | C22 | — | 16 | 1 | no | — |
| 277 | C22 | — | 16 | 1 | no | — |
| 278 | C22 | — | 16 | 1 | no | — |
| 279 | C22 | — | 16 | 1 | no | — |
| 280 | C22 | — | 16 | 1 | no | — |
| 281 | C22 | — | 16 | 1 | no | — |
| 282 | C22 | — | 16 | 1 | no | — |
| 283 | C22 | — | 16 | 1 | no | — |
| 284 | C22 | C22×D16 | 1 | 1 | yes | characteristic |
| 285 | C4 | — | 2 | 1 | no | — |
| 286 | C4 | — | 2 | 1 | no | — |
| 287 | C4 | — | 2 | 1 | no | — |
| 288 | C4 | — | 2 | 1 | no | — |
| 289 | C4 | — | 2 | 1 | no | — |
| 290 | C4 | — | 2 | 1 | no | — |
| 291 | C4 | — | 16 | 1 | no | — |
| 292 | C4 | — | 16 | 1 | no | — |
| 293 | C4 | — | 16 | 1 | no | — |
| 294 | C4 | — | 16 | 1 | no | — |
| 295 | C4 | — | 16 | 1 | no | — |
| 296 | C4 | #3358 | 1 | 1 | yes | characteristic |
| 297 | C4 | #3416 | 1 | 1 | yes | characteristic |
| 298 | C2 | — | 16 | 2 | no | — |
| 299 | C2 | — | 32 | 1 | no | — |
| 300 | C2 | — | 32 | 1 | no | — |
| 301 | C2 | #33925 | 1 | 1 | yes | characteristic |
| 302 | C2 | #33981 | 1 | 1 | yes | characteristic |
| 303 | C2 | #33982 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta