| 1 | C2×#13658 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #483601 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#7390 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #150071 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #140747 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #94031 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #93995 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#2263 | C4 | 1 | 1 | yes | characteristic |
| 9 | C2×#2179 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#2177 | C22 | 1 | 1 | yes | characteristic |
| 11 | #33443 | — | 2 | 1 | no | — |
| 12 | #13658 | — | 2 | 2 | no | — |
| 13 | #13658 | — | 2 | 2 | no | — |
| 14 | C2×#1426 | C4 | 1 | 1 | yes | characteristic |
| 15 | C2×#1419 | C4 | 1 | 1 | yes | characteristic |
| 16 | C2×#1418 | C4 | 1 | 1 | yes | characteristic |
| 17 | C2×#1398 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#1398 | C22 | 1 | 1 | yes | characteristic |
| 19 | #12068 | — | 2 | 2 | no | — |
| 20 | #12068 | — | 2 | 2 | no | — |
| 21 | C2×#1369 | C22 | 1 | 1 | yes | characteristic |
| 22 | #11999 | C22 | 1 | 1 | yes | characteristic |
| 23 | #11604 | — | 2 | 1 | no | — |
| 24 | #11593 | — | 2 | 1 | no | — |
| 25 | #11405 | C22 | 1 | 1 | yes | characteristic |
| 26 | #9668 | — | 2 | 1 | no | — |
| 27 | #7390 | — | 2 | 2 | no | — |
| 28 | #7389 | — | 2 | 2 | no | — |
| 29 | C2×#508 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C22×D16 | C2×C4 | 1 | 1 | yes | characteristic |
| 31 | #3407 | — | 4 | 1 | no | — |
| 32 | C2×#443 | — | 2 | 1 | no | — |
| 33 | C2×C4×D8 | — | 2 | 1 | no | — |
| 34 | #2263 | — | 2 | 2 | no | — |
| 35 | #2263 | — | 2 | 2 | no | — |
| 36 | C2×SD64 | C8 | 1 | 2 | yes | complemented |
| 37 | C2×D32 | C8 | 1 | 2 | yes | complemented |
| 38 | C2×M64 | — | 2 | 1 | no | — |
| 39 | C2×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 40 | C2×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | #2179 | — | 2 | 1 | no | — |
| 42 | #2179 | — | 2 | 1 | no | — |
| 43 | #2179 | D4 | 1 | 2 | yes | — |
| 44 | #2179 | D4 | 1 | 2 | yes | — |
| 45 | #2177 | — | 2 | 1 | no | — |
| 46 | #2177 | — | 2 | 1 | no | — |
| 47 | #2177 | — | 2 | 1 | no | — |
| 48 | #2177 | — | 2 | 1 | no | — |
| 49 | #2171 | — | 2 | 4 | no | — |
| 50 | #2170 | — | 4 | 2 | no | — |
| 51 | C2×#368 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | C2×#367 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | C2×#364 | — | 2 | 1 | no | — |
| 54 | C2×#359 | — | 2 | 1 | no | — |
| 55 | C2×#357 | — | 2 | 1 | no | — |
| 56 | #2117 | — | 4 | 1 | no | — |
| 57 | C4×M32 | D4 | 1 | 1 | yes | characteristic |
| 58 | C2×#346 | C23 | 1 | 1 | yes | characteristic |
| 59 | #1564 | — | 2 | 1 | no | — |
| 60 | #1478 | — | 4 | 1 | no | — |
| 61 | #1460 | — | 4 | 1 | no | — |
| 62 | #1450 | D4 | 1 | 1 | yes | characteristic |
| 63 | #1426 | — | 2 | 2 | no | — |
| 64 | #1419 | — | 2 | 2 | no | — |
| 65 | #1418 | — | 2 | 2 | no | — |
| 66 | #1398 | — | 2 | 1 | no | — |
| 67 | #1398 | — | 2 | 1 | no | — |
| 68 | #1398 | — | 2 | 1 | no | — |
| 69 | #1398 | — | 2 | 1 | no | — |
| 70 | #1369 | — | 2 | 1 | no | — |
| 71 | #1369 | D4 | 1 | 2 | yes | — |
| 72 | #1368 | — | 2 | 1 | no | — |
| 73 | #1368 | — | 2 | 1 | no | — |
| 74 | #1336 | — | 2 | 4 | no | — |
| 75 | #1331 | — | 4 | 2 | no | — |
| 76 | #1313 | — | 2 | 1 | no | — |
| 77 | #1313 | — | 2 | 1 | no | — |
| 78 | C2×#135 | — | 2 | 1 | no | — |
| 79 | C22×D8 | — | 2 | 1 | no | — |
| 80 | C2×#131 | — | 4 | 1 | no | — |
| 81 | C2×C4×D4 | — | 4 | 1 | no | — |
| 82 | #508 | — | 2 | 1 | no | — |
| 83 | #508 | — | 2 | 1 | no | — |
| 84 | #508 | C22⋊C4 | 1 | 2 | yes | — |
| 85 | #508 | M16 | 1 | 2 | yes | — |
| 86 | C2×Q32 | C2×C8 | 1 | 1 | yes | characteristic |
| 87 | C2×SD32 | — | 2 | 1 | no | — |
| 88 | C2×D16 | — | 2 | 1 | no | — |
| 89 | C2×D16 | — | 2 | 1 | no | — |
| 90 | C2×D16 | — | 2 | 1 | no | — |
| 91 | C2×D16 | — | 2 | 1 | no | — |
| 92 | C2×D16 | — | 2 | 1 | no | — |
| 93 | C2×D16 | C2×C8 | 1 | 2 | yes | — |
| 94 | C2×D16 | C2×C8 | 1 | 1 | yes | characteristic |
| 95 | #504 | — | 4 | 4 | no | — |
| 96 | #504 | — | 8 | 2 | no | — |
| 97 | C2×M32 | — | 2 | 1 | no | — |
| 98 | C2×M32 | — | 4 | 1 | no | — |
| 99 | C2×M32 | — | 8 | 2 | no | — |
| 100 | C22×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 101 | C22×C16 | #41 | 1 | 1 | yes | characteristic |
| 102 | #443 | — | 2 | 2 | no | — |
| 103 | #443 | — | 2 | 2 | no | — |
| 104 | #443 | — | 4 | 1 | no | — |
| 105 | #443 | — | 4 | 1 | no | — |
| 106 | C4×D8 | — | 4 | 1 | no | — |
| 107 | C4×D8 | — | 4 | 1 | no | — |
| 108 | C4×D8 | — | 4 | 1 | no | — |
| 109 | C4×D8 | — | 4 | 1 | no | — |
| 110 | #431 | — | 2 | 1 | no | — |
| 111 | #431 | — | 4 | 1 | no | — |
| 112 | C2×#108 | — | 2 | 1 | no | — |
| 113 | C2×#107 | — | 2 | 1 | no | — |
| 114 | C2×#104 | — | 4 | 1 | no | — |
| 115 | C2×#102 | — | 4 | 1 | no | — |
| 116 | C2×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | SD64 | — | 2 | 4 | no | — |
| 118 | D32 | — | 2 | 4 | no | — |
| 119 | M64 | — | 2 | 1 | no | — |
| 120 | M64 | — | 2 | 1 | no | — |
| 121 | M64 | — | 2 | 1 | no | — |
| 122 | M64 | — | 2 | 1 | no | — |
| 123 | M64 | — | 4 | 1 | no | — |
| 124 | M64 | — | 4 | 1 | no | — |
| 125 | C2×C32 | — | 2 | 2 | no | — |
| 126 | C2×C32 | — | 2 | 1 | no | — |
| 127 | C2×C32 | C2×C8 | 1 | 2 | yes | — |
| 128 | #368 | — | 2 | 1 | no | — |
| 129 | #368 | C22⋊C4 | 1 | 2 | yes | — |
| 130 | #367 | — | 2 | 1 | no | — |
| 131 | #367 | — | 2 | 1 | no | — |
| 132 | #364 | — | 2 | 2 | no | — |
| 133 | #364 | — | 4 | 1 | no | — |
| 134 | #359 | — | 2 | 2 | no | — |
| 135 | #359 | — | 2 | 2 | no | — |
| 136 | #357 | — | 4 | 1 | no | — |
| 137 | #357 | — | 4 | 1 | no | — |
| 138 | #350 | — | 4 | 4 | no | — |
| 139 | #346 | — | 2 | 1 | no | — |
| 140 | #346 | C2×D4 | 1 | 1 | yes | characteristic |
| 141 | #346 | C2×D4 | 1 | 1 | yes | characteristic |
| 142 | #346 | C2×D4 | 1 | 1 | yes | characteristic |
| 143 | #346 | #41 | 1 | 1 | yes | characteristic |
| 144 | C4×C16 | D8 | 1 | 2 | yes | — |
| 145 | #335 | — | 4 | 1 | no | — |
| 146 | #334 | — | 4 | 1 | no | — |
| 147 | D4⋊C8 | — | 8 | 2 | no | — |
| 148 | #323 | — | 8 | 2 | no | — |
| 149 | #322 | — | 2 | 1 | no | — |
| 150 | C82 | — | 2 | 1 | no | — |
| 151 | C2×#41 | — | 4 | 1 | no | — |
| 152 | C22×D4 | — | 4 | 1 | no | — |
| 153 | C23×C4 | — | 8 | 1 | no | — |
| 154 | #135 | — | 2 | 2 | no | — |
| 155 | #135 | — | 2 | 2 | no | — |
| 156 | #135 | — | 4 | 1 | no | — |
| 157 | #135 | — | 4 | 1 | no | — |
| 158 | C2×Q16 | — | 2 | 1 | no | — |
| 159 | C2×SD16 | — | 4 | 1 | no | — |
| 160 | C2×D8 | — | 2 | 1 | no | — |
| 161 | C2×D8 | — | 2 | 2 | no | — |
| 162 | C2×D8 | — | 4 | 1 | no | — |
| 163 | C2×D8 | — | 4 | 1 | no | — |
| 164 | C2×D8 | — | 4 | 1 | no | — |
| 165 | C2×D8 | — | 4 | 1 | no | — |
| 166 | C2×D8 | — | 4 | 1 | no | — |
| 167 | #131 | — | 4 | 2 | no | — |
| 168 | #131 | — | 4 | 2 | no | — |
| 169 | #131 | — | 8 | 1 | no | — |
| 170 | #131 | — | 8 | 1 | no | — |
| 171 | C2×M16 | — | 4 | 1 | no | — |
| 172 | C2×M16 | — | 8 | 1 | no | — |
| 173 | C22×C8 | — | 8 | 1 | no | — |
| 174 | C22×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 175 | C22×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 176 | C4×D4 | — | 8 | 1 | no | — |
| 177 | C4×D4 | — | 8 | 1 | no | — |
| 178 | C4×D4 | — | 8 | 1 | no | — |
| 179 | C4×D4 | — | 8 | 1 | no | — |
| 180 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 181 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 182 | C2×C42 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 183 | Q32 | — | 2 | 1 | no | — |
| 184 | Q32 | C22⋊C8 | 1 | 2 | yes | — |
| 185 | SD32 | — | 2 | 2 | no | — |
| 186 | SD32 | — | 2 | 2 | no | — |
| 187 | D16 | — | 2 | 2 | no | — |
| 188 | D16 | — | 2 | 1 | no | — |
| 189 | D16 | — | 2 | 2 | no | — |
| 190 | D16 | — | 4 | 1 | no | — |
| 191 | D16 | — | 4 | 1 | no | — |
| 192 | D16 | C22⋊C8 | 1 | 2 | yes | — |
| 193 | M32 | — | 4 | 1 | no | — |
| 194 | M32 | — | 4 | 1 | no | — |
| 195 | M32 | — | 4 | 2 | no | — |
| 196 | M32 | — | 8 | 4 | no | — |
| 197 | M32 | — | 8 | 1 | no | — |
| 198 | C2×C16 | — | 2 | 1 | no | — |
| 199 | C2×C16 | — | 2 | 1 | no | — |
| 200 | C2×C16 | — | 2 | 2 | no | — |
| 201 | C2×C16 | — | 8 | 4 | no | — |
| 202 | C2×C16 | — | 8 | 1 | no | — |
| 203 | C2×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 204 | C2×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 205 | C2×C16 | #121 | 1 | 1 | yes | characteristic |
| 206 | C2×C16 | #123 | 1 | 1 | yes | characteristic |
| 207 | C2×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 208 | C2×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 209 | C2×C16 | #131 | 1 | 1 | yes | characteristic |
| 210 | C2×C16 | #131 | 1 | 1 | yes | characteristic |
| 211 | #108 | — | 2 | 2 | no | — |
| 212 | #108 | — | 4 | 1 | no | — |
| 213 | #107 | — | 4 | 1 | no | — |
| 214 | #107 | — | 4 | 1 | no | — |
| 215 | C4⋊C8 | — | 4 | 1 | no | — |
| 216 | C4⋊C8 | — | 8 | 1 | no | — |
| 217 | #104 | — | 4 | 2 | no | — |
| 218 | #104 | — | 4 | 2 | no | — |
| 219 | #102 | — | 8 | 1 | no | — |
| 220 | #102 | — | 8 | 1 | no | — |
| 221 | C22⋊C8 | — | 4 | 1 | no | — |
| 222 | C22⋊C8 | — | 8 | 1 | no | — |
| 223 | C4×C8 | — | 4 | 1 | no | — |
| 224 | C4×C8 | — | 8 | 1 | no | — |
| 225 | C4×C8 | #120 | 1 | 1 | yes | characteristic |
| 226 | C4×C8 | #121 | 1 | 1 | yes | characteristic |
| 227 | C4×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 228 | C4×C8 | #135 | 1 | 1 | yes | characteristic |
| 229 | C32 | — | 2 | 2 | no | — |
| 230 | C32 | — | 4 | 2 | no | — |
| 231 | C32 | — | 4 | 1 | no | — |
| 232 | C24 | — | 8 | 1 | no | — |
| 233 | #41 | — | 4 | 2 | no | — |
| 234 | #41 | — | 4 | 2 | no | — |
| 235 | #41 | — | 8 | 1 | no | — |
| 236 | #41 | — | 8 | 1 | no | — |
| 237 | C2×Q8 | — | 4 | 1 | no | — |
| 238 | C2×D4 | — | 4 | 1 | no | — |
| 239 | C2×D4 | — | 4 | 2 | no | — |
| 240 | C2×D4 | — | 8 | 1 | no | — |
| 241 | C2×D4 | — | 8 | 1 | no | — |
| 242 | C2×D4 | — | 8 | 1 | no | — |
| 243 | C2×D4 | — | 8 | 1 | no | — |
| 244 | C2×D4 | — | 8 | 1 | no | — |
| 245 | C2×D4 | — | 8 | 1 | no | — |
| 246 | C22×C4 | — | 2 | 1 | no | — |
| 247 | C22×C4 | — | 8 | 1 | no | — |
| 248 | C22×C4 | — | 8 | 1 | no | — |
| 249 | C22×C4 | — | 16 | 1 | no | — |
| 250 | C22×C4 | — | 16 | 1 | no | — |
| 251 | C22×C4 | — | 32 | 2 | no | — |
| 252 | C22×C4 | #442 | 1 | 1 | yes | characteristic |
| 253 | Q16 | — | 2 | 2 | no | — |
| 254 | Q16 | — | 4 | 1 | no | — |
| 255 | SD16 | — | 4 | 2 | no | — |
| 256 | SD16 | — | 4 | 2 | no | — |
| 257 | D8 | — | 2 | 2 | no | — |
| 258 | D8 | — | 4 | 1 | no | — |
| 259 | D8 | — | 4 | 2 | no | — |
| 260 | D8 | — | 4 | 2 | no | — |
| 261 | D8 | — | 8 | 1 | no | — |
| 262 | D8 | — | 8 | 1 | no | — |
| 263 | M16 | — | 4 | 2 | no | — |
| 264 | M16 | — | 8 | 2 | no | — |
| 265 | M16 | — | 8 | 2 | no | — |
| 266 | M16 | — | 8 | 1 | no | — |
| 267 | C2×C8 | — | 2 | 1 | no | — |
| 268 | C2×C8 | — | 2 | 1 | no | — |
| 269 | C2×C8 | — | 8 | 2 | no | — |
| 270 | C2×C8 | — | 8 | 2 | no | — |
| 271 | C2×C8 | — | 8 | 1 | no | — |
| 272 | C2×C8 | — | 8 | 1 | no | — |
| 273 | C2×C8 | — | 16 | 1 | no | — |
| 274 | C2×C8 | #386 | 1 | 1 | yes | characteristic |
| 275 | C2×C8 | C8×D4 | 1 | 1 | yes | characteristic |
| 276 | C2×C8 | #435 | 1 | 1 | yes | characteristic |
| 277 | C2×C8 | C4×D8 | 1 | 1 | yes | characteristic |
| 278 | C2×C8 | #443 | 1 | 1 | yes | characteristic |
| 279 | C2×C8 | #444 | 1 | 1 | yes | characteristic |
| 280 | C2×C8 | #447 | 1 | 1 | yes | characteristic |
| 281 | C2×C8 | #463 | 1 | 1 | yes | characteristic |
| 282 | C4⋊C4 | — | 8 | 1 | no | — |
| 283 | C4⋊C4 | — | 8 | 1 | no | — |
| 284 | C22⋊C4 | — | 16 | 1 | no | — |
| 285 | C22⋊C4 | — | 16 | 1 | no | — |
| 286 | C42 | — | 2 | 1 | no | — |
| 287 | C42 | #449 | 1 | 1 | yes | characteristic |
| 288 | C42 | #459 | 1 | 1 | yes | characteristic |
| 289 | C16 | — | 2 | 1 | no | — |
| 290 | C16 | — | 2 | 1 | no | — |
| 291 | C16 | — | 4 | 2 | no | — |
| 292 | C16 | — | 8 | 2 | no | — |
| 293 | C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 294 | C16 | #408 | 1 | 1 | yes | characteristic |
| 295 | C16 | C8×D4 | 1 | 1 | yes | characteristic |
| 296 | C16 | #435 | 1 | 1 | yes | characteristic |
| 297 | C23 | — | 8 | 1 | no | — |
| 298 | C23 | — | 8 | 2 | no | — |
| 299 | C23 | — | 16 | 1 | no | — |
| 300 | C23 | — | 16 | 1 | no | — |
| 301 | C23 | — | 32 | 1 | no | — |
| 302 | C23 | — | 32 | 1 | no | — |
| 303 | C23 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 304 | Q8 | — | 4 | 2 | no | — |
| 305 | Q8 | — | 8 | 1 | no | — |
| 306 | D4 | — | 4 | 2 | no | — |
| 307 | D4 | — | 8 | 2 | no | — |
| 308 | D4 | — | 8 | 2 | no | — |
| 309 | D4 | — | 8 | 1 | no | — |
| 310 | D4 | — | 8 | 2 | no | — |
| 311 | D4 | — | 8 | 2 | no | — |
| 312 | D4 | — | 16 | 1 | no | — |
| 313 | D4 | — | 16 | 1 | no | — |
| 314 | C2×C4 | — | 2 | 1 | no | — |
| 315 | C2×C4 | — | 2 | 1 | no | — |
| 316 | C2×C4 | — | 8 | 1 | no | — |
| 317 | C2×C4 | — | 8 | 1 | no | — |
| 318 | C2×C4 | — | 8 | 2 | no | — |
| 319 | C2×C4 | — | 8 | 2 | no | — |
| 320 | C2×C4 | — | 16 | 1 | no | — |
| 321 | C2×C4 | — | 32 | 2 | no | — |
| 322 | C2×C4 | — | 32 | 2 | no | — |
| 323 | C2×C4 | — | 32 | 1 | no | — |
| 324 | C2×C4 | #1580 | 1 | 1 | yes | characteristic |
| 325 | C2×C4 | #1586 | 1 | 1 | yes | characteristic |
| 326 | C2×C4 | #1879 | 1 | 1 | yes | characteristic |
| 327 | C2×C4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 328 | C2×C4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 329 | C2×C4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 330 | C8 | — | 2 | 1 | no | — |
| 331 | C8 | — | 2 | 1 | no | — |
| 332 | C8 | — | 8 | 2 | no | — |
| 333 | C8 | — | 16 | 1 | no | — |
| 334 | C8 | — | 32 | 1 | no | — |
| 335 | C8 | C8×D8 | 1 | 1 | yes | characteristic |
| 336 | C8 | #1581 | 1 | 1 | yes | characteristic |
| 337 | C8 | #1869 | 1 | 1 | yes | characteristic |
| 338 | C8 | #1876 | 1 | 1 | yes | characteristic |
| 339 | C22 | — | 4 | 1 | no | — |
| 340 | C22 | — | 8 | 2 | no | — |
| 341 | C22 | — | 16 | 2 | no | — |
| 342 | C22 | — | 32 | 1 | no | — |
| 343 | C22 | — | 32 | 2 | no | — |
| 344 | C22 | — | 32 | 1 | no | — |
| 345 | C22 | — | 32 | 1 | no | — |
| 346 | C22 | — | 32 | 2 | no | — |
| 347 | C22 | #12067 | 1 | 1 | yes | characteristic |
| 348 | C22 | #12078 | 1 | 1 | yes | characteristic |
| 349 | C22 | #13040 | 1 | 1 | yes | characteristic |
| 350 | C4 | — | 4 | 1 | no | — |
| 351 | C4 | — | 4 | 1 | no | — |
| 352 | C4 | — | 8 | 2 | no | — |
| 353 | C4 | — | 32 | 1 | no | — |
| 354 | C4 | #8947 | 1 | 1 | yes | characteristic |
| 355 | C4 | #12067 | 1 | 1 | yes | characteristic |
| 356 | C4 | #12078 | 1 | 1 | yes | characteristic |
| 357 | C4 | #13037 | 1 | 1 | yes | characteristic |
| 358 | C2 | — | 2 | 1 | no | — |
| 359 | C2 | — | 2 | 1 | no | — |
| 360 | C2 | — | 2 | 1 | no | — |
| 361 | C2 | — | 16 | 2 | no | — |
| 362 | C2 | — | 32 | 2 | no | — |
| 363 | C2 | #136707 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta