| 1 | C2×#2221 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#2221 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #33441 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #33414 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #24809 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13472 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13389 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13245 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13173 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13007 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #12840 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C22×D16 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#504 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#504 | C22 | 1 | 1 | yes | characteristic |
| 15 | #3068 | — | 2 | 2 | no | — |
| 16 | C2×#472 | C22 | 1 | 2 | yes | — |
| 17 | C2×#472 | C22 | 1 | 2 | yes | — |
| 18 | #2955 | C22 | 1 | 1 | yes | characteristic |
| 19 | #2916 | C22 | 1 | 2 | yes | — |
| 20 | #2221 | — | 2 | 2 | no | — |
| 21 | #2221 | — | 2 | 2 | no | — |
| 22 | #2221 | — | 2 | 2 | no | — |
| 23 | #2221 | — | 2 | 2 | no | — |
| 24 | #2171 | — | 2 | 2 | no | — |
| 25 | #2170 | — | 2 | 2 | no | — |
| 26 | #2161 | — | 2 | 2 | no | — |
| 27 | #2161 | C22 | 1 | 2 | yes | — |
| 28 | C2×#368 | — | 2 | 2 | no | — |
| 29 | C2×#368 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#368 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#368 | C22 | 1 | 1 | yes | characteristic |
| 32 | #2153 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#361 | C22 | 1 | 2 | yes | — |
| 34 | C2×#361 | C22 | 1 | 2 | yes | — |
| 35 | C2×#361 | C22 | 1 | 2 | yes | — |
| 36 | #2117 | C22 | 1 | 1 | yes | characteristic |
| 37 | #2117 | C22 | 1 | 1 | yes | characteristic |
| 38 | #2108 | C22 | 1 | 1 | yes | characteristic |
| 39 | #2069 | — | 2 | 2 | no | — |
| 40 | #2048 | — | 2 | 2 | no | — |
| 41 | #1978 | C22 | 1 | 2 | yes | — |
| 42 | #1953 | C22 | 1 | 2 | yes | — |
| 43 | #1903 | — | 2 | 2 | no | — |
| 44 | #1813 | C22 | 1 | 2 | yes | — |
| 45 | #1388 | C22 | 1 | 2 | yes | — |
| 46 | #1385 | C22 | 1 | 2 | yes | — |
| 47 | #575 | D4 | 1 | 1 | yes | characteristic |
| 48 | C2×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 49 | C2×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 50 | C22×D8 | C23 | 1 | 2 | yes | — |
| 51 | #568 | — | 2 | 2 | no | — |
| 52 | C2×#131 | C23 | 1 | 1 | yes | characteristic |
| 53 | C2×#131 | C23 | 1 | 1 | yes | characteristic |
| 54 | C2×D16 | — | 2 | 1 | no | — |
| 55 | C2×D16 | — | 2 | 1 | no | — |
| 56 | C2×D16 | — | 2 | 1 | no | — |
| 57 | C2×D16 | — | 2 | 1 | no | — |
| 58 | C2×D16 | — | 2 | 1 | no | — |
| 59 | C2×D16 | — | 2 | 1 | no | — |
| 60 | #504 | — | 2 | 1 | no | — |
| 61 | #504 | — | 2 | 1 | no | — |
| 62 | #504 | — | 2 | 1 | no | — |
| 63 | #504 | — | 2 | 1 | no | — |
| 64 | #504 | — | 2 | 1 | no | — |
| 65 | #504 | — | 2 | 1 | no | — |
| 66 | #504 | D4 | 1 | 2 | yes | — |
| 67 | #504 | D4 | 1 | 2 | yes | — |
| 68 | C2×M32 | — | 2 | 1 | no | — |
| 69 | C2×M32 | — | 2 | 1 | no | — |
| 70 | C2×M32 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×M32 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×M32 | C23 | 1 | 1 | yes | characteristic |
| 73 | C22×C16 | — | 2 | 1 | no | — |
| 74 | C22×C16 | — | 2 | 1 | no | — |
| 75 | C22×C16 | C23 | 1 | 1 | yes | characteristic |
| 76 | #472 | — | 2 | 4 | no | — |
| 77 | #472 | — | 2 | 4 | no | — |
| 78 | #472 | — | 2 | 4 | no | — |
| 79 | #472 | — | 4 | 2 | no | — |
| 80 | #472 | — | 4 | 4 | no | — |
| 81 | #471 | — | 4 | 4 | no | — |
| 82 | #444 | — | 2 | 2 | no | — |
| 83 | #443 | — | 2 | 2 | no | — |
| 84 | #430 | — | 2 | 2 | no | — |
| 85 | #430 | — | 2 | 2 | no | — |
| 86 | #430 | — | 4 | 2 | no | — |
| 87 | #430 | D4 | 1 | 1 | yes | characteristic |
| 88 | C2×#108 | — | 2 | 4 | no | — |
| 89 | C2×#108 | C23 | 1 | 2 | yes | — |
| 90 | C2×#108 | C23 | 1 | 2 | yes | — |
| 91 | C2×#108 | C23 | 1 | 2 | yes | — |
| 92 | #421 | D4 | 1 | 1 | yes | characteristic |
| 93 | #421 | D4 | 1 | 1 | yes | characteristic |
| 94 | #418 | — | 2 | 2 | no | — |
| 95 | #413 | — | 2 | 2 | no | — |
| 96 | C2×#100 | — | 2 | 2 | no | — |
| 97 | C2×#100 | — | 2 | 2 | no | — |
| 98 | C2×#100 | — | 2 | 2 | no | — |
| 99 | #405 | C23 | 1 | 1 | yes | characteristic |
| 100 | #368 | — | 2 | 1 | no | — |
| 101 | #368 | — | 2 | 1 | no | — |
| 102 | #368 | — | 2 | 1 | no | — |
| 103 | #368 | — | 2 | 1 | no | — |
| 104 | #368 | — | 2 | 4 | no | — |
| 105 | #368 | D4 | 1 | 2 | yes | — |
| 106 | #368 | D4 | 1 | 2 | yes | — |
| 107 | #364 | — | 2 | 2 | no | — |
| 108 | #361 | — | 2 | 4 | no | — |
| 109 | #361 | — | 2 | 4 | no | — |
| 110 | #361 | — | 4 | 2 | no | — |
| 111 | #350 | — | 2 | 2 | no | — |
| 112 | #350 | — | 2 | 2 | no | — |
| 113 | #346 | — | 2 | 1 | no | — |
| 114 | C4×C16 | — | 2 | 1 | no | — |
| 115 | #344 | — | 2 | 2 | no | — |
| 116 | #338 | — | 2 | 2 | no | — |
| 117 | C2×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C2×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C22×D4 | — | 2 | 2 | no | — |
| 120 | #137 | — | 2 | 1 | no | — |
| 121 | #137 | D8 | 1 | 2 | yes | — |
| 122 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 123 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 124 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 125 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 126 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 127 | AGL(1,ℤ/8) | D8 | 1 | 2 | yes | — |
| 128 | #135 | — | 2 | 2 | no | — |
| 129 | C2×SD16 | — | 4 | 2 | no | — |
| 130 | C2×SD16 | — | 4 | 2 | no | — |
| 131 | C2×D8 | — | 2 | 2 | no | — |
| 132 | C2×D8 | — | 2 | 2 | no | — |
| 133 | C2×D8 | — | 2 | 2 | no | — |
| 134 | C2×D8 | — | 2 | 2 | no | — |
| 135 | C2×D8 | — | 2 | 2 | no | — |
| 136 | C2×D8 | — | 2 | 2 | no | — |
| 137 | C2×D8 | — | 4 | 2 | no | — |
| 138 | C2×D8 | — | 4 | 2 | no | — |
| 139 | #131 | — | 2 | 1 | no | — |
| 140 | #131 | — | 2 | 1 | no | — |
| 141 | #131 | — | 2 | 1 | no | — |
| 142 | #131 | — | 2 | 1 | no | — |
| 143 | #131 | — | 2 | 1 | no | — |
| 144 | #131 | — | 2 | 1 | no | — |
| 145 | #131 | — | 4 | 4 | no | — |
| 146 | #131 | — | 8 | 2 | no | — |
| 147 | #131 | C2×D4 | 1 | 2 | yes | — |
| 148 | #131 | #41 | 1 | 2 | yes | — |
| 149 | C2×M16 | — | 2 | 1 | no | — |
| 150 | C2×M16 | — | 2 | 1 | no | — |
| 151 | C2×M16 | — | 2 | 2 | no | — |
| 152 | C2×M16 | — | 2 | 2 | no | — |
| 153 | C2×M16 | — | 2 | 2 | no | — |
| 154 | C2×M16 | — | 4 | 4 | no | — |
| 155 | C2×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 156 | C2×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 157 | C2×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 158 | C22×C8 | — | 2 | 1 | no | — |
| 159 | C22×C8 | — | 2 | 1 | no | — |
| 160 | C22×C8 | C24 | 1 | 1 | yes | characteristic |
| 161 | #117 | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | D16 | — | 4 | 1 | no | — |
| 163 | D16 | — | 4 | 1 | no | — |
| 164 | D16 | — | 4 | 1 | no | — |
| 165 | D16 | — | 4 | 1 | no | — |
| 166 | M32 | — | 2 | 1 | no | — |
| 167 | M32 | — | 2 | 2 | no | — |
| 168 | M32 | — | 2 | 2 | no | — |
| 169 | M32 | — | 2 | 1 | no | — |
| 170 | M32 | — | 2 | 1 | no | — |
| 171 | M32 | — | 2 | 1 | no | — |
| 172 | M32 | — | 2 | 1 | no | — |
| 173 | M32 | — | 4 | 1 | no | — |
| 174 | M32 | — | 4 | 1 | no | — |
| 175 | M32 | C2×D4 | 1 | 2 | yes | — |
| 176 | C2×C16 | — | 2 | 1 | no | — |
| 177 | C2×C16 | — | 2 | 2 | no | — |
| 178 | C2×C16 | — | 2 | 2 | no | — |
| 179 | C2×C16 | — | 2 | 1 | no | — |
| 180 | C2×C16 | — | 2 | 1 | no | — |
| 181 | C2×C16 | — | 4 | 1 | no | — |
| 182 | C2×C16 | — | 4 | 1 | no | — |
| 183 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 186 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C2×C16 | #41 | 1 | 1 | yes | characteristic |
| 188 | C2×C16 | #41 | 1 | 1 | yes | characteristic |
| 189 | #108 | — | 2 | 2 | no | — |
| 190 | #108 | — | 2 | 2 | no | — |
| 191 | #108 | — | 2 | 2 | no | — |
| 192 | #108 | — | 2 | 2 | no | — |
| 193 | #108 | — | 2 | 2 | no | — |
| 194 | #108 | — | 2 | 2 | no | — |
| 195 | #108 | — | 4 | 4 | no | — |
| 196 | #108 | — | 4 | 4 | no | — |
| 197 | #108 | C2×D4 | 1 | 4 | yes | — |
| 198 | #104 | — | 2 | 2 | no | — |
| 199 | #104 | — | 2 | 2 | no | — |
| 200 | #102 | — | 8 | 2 | no | — |
| 201 | #101 | — | 4 | 2 | no | — |
| 202 | #100 | — | 4 | 4 | no | — |
| 203 | #100 | — | 4 | 2 | no | — |
| 204 | #100 | — | 4 | 4 | no | — |
| 205 | #100 | — | 4 | 4 | no | — |
| 206 | #97 | — | 2 | 1 | no | — |
| 207 | C4×C8 | — | 2 | 1 | no | — |
| 208 | C24 | — | 4 | 2 | no | — |
| 209 | #41 | — | 2 | 1 | no | — |
| 210 | #41 | — | 2 | 1 | no | — |
| 211 | #41 | — | 2 | 1 | no | — |
| 212 | #41 | — | 2 | 1 | no | — |
| 213 | #41 | — | 2 | 1 | no | — |
| 214 | #41 | — | 2 | 1 | no | — |
| 215 | #41 | #121 | 1 | 2 | yes | — |
| 216 | #41 | C2×D8 | 1 | 2 | yes | — |
| 217 | C2×Q8 | C2×D8 | 1 | 1 | yes | characteristic |
| 218 | C2×Q8 | #135 | 1 | 1 | yes | characteristic |
| 219 | C2×D4 | — | 2 | 1 | no | — |
| 220 | C2×D4 | — | 2 | 1 | no | — |
| 221 | C2×D4 | — | 4 | 2 | no | — |
| 222 | C2×D4 | — | 4 | 2 | no | — |
| 223 | C2×D4 | — | 4 | 2 | no | — |
| 224 | C2×D4 | — | 4 | 2 | no | — |
| 225 | C2×D4 | — | 4 | 2 | no | — |
| 226 | C2×D4 | — | 4 | 2 | no | — |
| 227 | C2×D4 | C2×D8 | 1 | 1 | yes | characteristic |
| 228 | C2×D4 | #135 | 1 | 1 | yes | characteristic |
| 229 | C22×C4 | — | 2 | 1 | no | — |
| 230 | C22×C4 | — | 2 | 1 | no | — |
| 231 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 232 | Q16 | — | 2 | 2 | no | — |
| 233 | SD16 | — | 2 | 2 | no | — |
| 234 | SD16 | — | 2 | 2 | no | — |
| 235 | SD16 | — | 8 | 4 | no | — |
| 236 | SD16 | — | 8 | 4 | no | — |
| 237 | D8 | — | 2 | 2 | no | — |
| 238 | D8 | — | 4 | 2 | no | — |
| 239 | D8 | — | 4 | 2 | no | — |
| 240 | D8 | — | 4 | 2 | no | — |
| 241 | D8 | — | 4 | 2 | no | — |
| 242 | D8 | — | 8 | 4 | no | — |
| 243 | D8 | — | 8 | 4 | no | — |
| 244 | M16 | — | 2 | 1 | no | — |
| 245 | M16 | — | 2 | 1 | no | — |
| 246 | M16 | — | 2 | 2 | no | — |
| 247 | M16 | — | 2 | 2 | no | — |
| 248 | M16 | — | 2 | 1 | no | — |
| 249 | M16 | — | 2 | 1 | no | — |
| 250 | M16 | — | 2 | 4 | no | — |
| 251 | M16 | — | 4 | 2 | no | — |
| 252 | M16 | — | 4 | 1 | no | — |
| 253 | M16 | — | 4 | 1 | no | — |
| 254 | M16 | — | 4 | 2 | no | — |
| 255 | M16 | — | 4 | 2 | no | — |
| 256 | M16 | — | 4 | 2 | no | — |
| 257 | M16 | — | 4 | 2 | no | — |
| 258 | M16 | — | 8 | 4 | no | — |
| 259 | M16 | #121 | 1 | 2 | yes | — |
| 260 | M16 | C2×D8 | 1 | 2 | yes | — |
| 261 | C2×C8 | — | 2 | 1 | no | — |
| 262 | C2×C8 | — | 2 | 1 | no | — |
| 263 | C2×C8 | — | 2 | 2 | no | — |
| 264 | C2×C8 | — | 2 | 2 | no | — |
| 265 | C2×C8 | — | 2 | 1 | no | — |
| 266 | C2×C8 | — | 4 | 2 | no | — |
| 267 | C2×C8 | — | 4 | 1 | no | — |
| 268 | C2×C8 | — | 4 | 1 | no | — |
| 269 | C2×C8 | — | 4 | 2 | no | — |
| 270 | C2×C8 | — | 4 | 2 | no | — |
| 271 | C2×C8 | — | 8 | 4 | no | — |
| 272 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 273 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 274 | C2×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 275 | C2×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 276 | C2×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 277 | C2×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 278 | C4⋊C4 | — | 2 | 1 | no | — |
| 279 | C22⋊C4 | — | 2 | 1 | no | — |
| 280 | C42 | — | 2 | 1 | no | — |
| 281 | C16 | — | 2 | 2 | no | — |
| 282 | C16 | — | 4 | 1 | no | — |
| 283 | C16 | — | 4 | 1 | no | — |
| 284 | C16 | #121 | 1 | 1 | yes | characteristic |
| 285 | C16 | #121 | 1 | 1 | yes | characteristic |
| 286 | C16 | #121 | 1 | 1 | yes | characteristic |
| 287 | C16 | #121 | 1 | 1 | yes | characteristic |
| 288 | C23 | — | 2 | 1 | no | — |
| 289 | C23 | — | 2 | 1 | no | — |
| 290 | C23 | — | 8 | 2 | no | — |
| 291 | C23 | — | 8 | 2 | no | — |
| 292 | C23 | — | 8 | 2 | no | — |
| 293 | C23 | — | 32 | 2 | no | — |
| 294 | C23 | #578 | 1 | 1 | yes | characteristic |
| 295 | Q8 | — | 2 | 1 | no | — |
| 296 | Q8 | — | 2 | 1 | no | — |
| 297 | Q8 | — | 2 | 1 | no | — |
| 298 | Q8 | #466 | 1 | 2 | yes | — |
| 299 | D4 | — | 2 | 2 | no | — |
| 300 | D4 | — | 2 | 2 | no | — |
| 301 | D4 | — | 2 | 1 | no | — |
| 302 | D4 | — | 2 | 1 | no | — |
| 303 | D4 | — | 2 | 1 | no | — |
| 304 | D4 | — | 4 | 1 | no | — |
| 305 | D4 | — | 4 | 1 | no | — |
| 306 | D4 | — | 8 | 2 | no | — |
| 307 | D4 | — | 8 | 2 | no | — |
| 308 | D4 | — | 8 | 2 | no | — |
| 309 | D4 | — | 8 | 2 | no | — |
| 310 | D4 | #466 | 1 | 2 | yes | — |
| 311 | C2×C4 | — | 2 | 1 | no | — |
| 312 | C2×C4 | — | 2 | 2 | no | — |
| 313 | C2×C4 | — | 2 | 2 | no | — |
| 314 | C2×C4 | — | 2 | 1 | no | — |
| 315 | C2×C4 | — | 4 | 1 | no | — |
| 316 | C2×C4 | — | 4 | 1 | no | — |
| 317 | C2×C4 | — | 4 | 1 | no | — |
| 318 | C2×C4 | C2×#121 | 1 | 1 | yes | characteristic |
| 319 | C2×C4 | D42 | 1 | 1 | yes | characteristic |
| 320 | C2×C4 | #547 | 1 | 1 | yes | characteristic |
| 321 | C2×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 322 | C2×C4 | C2×#135 | 1 | 1 | yes | characteristic |
| 323 | C2×C4 | #576 | 1 | 1 | yes | characteristic |
| 324 | C8 | — | 2 | 2 | no | — |
| 325 | C8 | — | 2 | 2 | no | — |
| 326 | C8 | — | 4 | 1 | no | — |
| 327 | C8 | — | 4 | 4 | no | — |
| 328 | C8 | — | 8 | 2 | no | — |
| 329 | C8 | — | 8 | 2 | no | — |
| 330 | C8 | C2×#121 | 1 | 1 | yes | characteristic |
| 331 | C8 | #537 | 1 | 1 | yes | characteristic |
| 332 | C8 | #548 | 1 | 1 | yes | characteristic |
| 333 | C8 | #553 | 1 | 1 | yes | characteristic |
| 334 | C22 | — | 2 | 2 | no | — |
| 335 | C22 | — | 4 | 1 | no | — |
| 336 | C22 | — | 4 | 1 | no | — |
| 337 | C22 | — | 8 | 1 | no | — |
| 338 | C22 | — | 8 | 1 | no | — |
| 339 | C22 | — | 16 | 2 | no | — |
| 340 | C22 | — | 32 | 2 | no | — |
| 341 | C22 | — | 32 | 2 | no | — |
| 342 | C22 | — | 32 | 2 | no | — |
| 343 | C22 | #3061 | 1 | 1 | yes | characteristic |
| 344 | C22 | #3285 | 1 | 1 | yes | characteristic |
| 345 | C22 | #3334 | 1 | 1 | yes | characteristic |
| 346 | C4 | — | 2 | 2 | no | — |
| 347 | C4 | — | 4 | 1 | no | — |
| 348 | C4 | — | 8 | 1 | no | — |
| 349 | C4 | #2416 | 1 | 1 | yes | characteristic |
| 350 | C4 | C2×#466 | 1 | 1 | yes | characteristic |
| 351 | C4 | D4×D8 | 1 | 1 | yes | characteristic |
| 352 | C4 | #3339 | 1 | 1 | yes | characteristic |
| 353 | C2 | — | 2 | 1 | no | — |
| 354 | C2 | — | 2 | 1 | no | — |
| 355 | C2 | — | 2 | 1 | no | — |
| 356 | C2 | — | 4 | 2 | no | — |
| 357 | C2 | — | 8 | 1 | no | — |
| 358 | C2 | — | 32 | 2 | no | — |
| 359 | C2 | #24780 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta