| 1 | #29270 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #28700 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13545 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13522 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13512 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13469 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #13457 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13371 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #13270 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13175 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13156 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #13137 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #13117 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #12952 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #12948 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | #3165 | — | 2 | 1 | no | — |
| 17 | C2×#498 | C22 | 1 | 1 | yes | characteristic |
| 18 | #2960 | C22 | 1 | 1 | yes | characteristic |
| 19 | #2957 | C22 | 1 | 1 | yes | characteristic |
| 20 | #2161 | C22 | 1 | 1 | yes | characteristic |
| 21 | #2155 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#365 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#365 | C22 | 1 | 1 | yes | characteristic |
| 24 | #2153 | C22 | 1 | 1 | yes | characteristic |
| 25 | #2148 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#360 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#360 | C22 | 1 | 1 | yes | characteristic |
| 28 | #2143 | C22 | 1 | 1 | yes | characteristic |
| 29 | #2110 | C22 | 1 | 1 | yes | characteristic |
| 30 | #2098 | — | 2 | 1 | no | — |
| 31 | #2090 | — | 2 | 1 | no | — |
| 32 | #2090 | — | 2 | 1 | no | — |
| 33 | #2031 | — | 2 | 1 | no | — |
| 34 | #1997 | — | 2 | 1 | no | — |
| 35 | #1976 | C22 | 1 | 1 | yes | characteristic |
| 36 | #1974 | C22 | 1 | 1 | yes | characteristic |
| 37 | #1953 | C22 | 1 | 1 | yes | characteristic |
| 38 | #1951 | C22 | 1 | 1 | yes | characteristic |
| 39 | #1951 | C22 | 1 | 1 | yes | characteristic |
| 40 | #1951 | C22 | 1 | 1 | yes | characteristic |
| 41 | #1951 | C22 | 1 | 1 | yes | characteristic |
| 42 | #1945 | C22 | 1 | 1 | yes | characteristic |
| 43 | #1868 | — | 2 | 1 | no | — |
| 44 | #1861 | — | 2 | 1 | no | — |
| 45 | #1833 | C22 | 1 | 1 | yes | characteristic |
| 46 | C4×#108 | C22 | 1 | 1 | yes | characteristic |
| 47 | #1389 | C22 | 1 | 1 | yes | characteristic |
| 48 | #1388 | C22 | 1 | 1 | yes | characteristic |
| 49 | #1388 | C22 | 1 | 1 | yes | characteristic |
| 50 | #1386 | C22 | 1 | 1 | yes | characteristic |
| 51 | #1386 | C22 | 1 | 1 | yes | characteristic |
| 52 | #1385 | C22 | 1 | 1 | yes | characteristic |
| 53 | #1383 | C22 | 1 | 1 | yes | characteristic |
| 54 | #1383 | C22 | 1 | 1 | yes | characteristic |
| 55 | #1378 | C22 | 1 | 1 | yes | characteristic |
| 56 | #1378 | C22 | 1 | 1 | yes | characteristic |
| 57 | #1376 | C22 | 1 | 1 | yes | characteristic |
| 58 | #1376 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×#135 | C23 | 1 | 1 | yes | characteristic |
| 60 | #568 | — | 2 | 1 | no | — |
| 61 | #533 | D4 | 1 | 1 | yes | characteristic |
| 62 | C2×C4⋊Q8 | — | 2 | 1 | no | — |
| 63 | C2×M32 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×M32 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×M32 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×M32 | C23 | 1 | 1 | yes | characteristic |
| 67 | #501 | — | 4 | 1 | no | — |
| 68 | #501 | — | 4 | 1 | no | — |
| 69 | #500 | — | 4 | 1 | no | — |
| 70 | #498 | — | 4 | 1 | no | — |
| 71 | #498 | — | 4 | 1 | no | — |
| 72 | #498 | — | 4 | 1 | no | — |
| 73 | #446 | — | 4 | 1 | no | — |
| 74 | C8×Q8 | — | 4 | 1 | no | — |
| 75 | #444 | — | 4 | 1 | no | — |
| 76 | #443 | — | 4 | 1 | no | — |
| 77 | #430 | — | 2 | 1 | no | — |
| 78 | C2×#108 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×#108 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×#108 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×#108 | C23 | 1 | 1 | yes | characteristic |
| 82 | #428 | — | 2 | 1 | no | — |
| 83 | #428 | — | 2 | 1 | no | — |
| 84 | #428 | — | 2 | 1 | no | — |
| 85 | #428 | — | 2 | 1 | no | — |
| 86 | #427 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#106 | — | 2 | 1 | no | — |
| 88 | C2×#106 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×#106 | C23 | 1 | 1 | yes | characteristic |
| 90 | #424 | — | 2 | 1 | no | — |
| 91 | #424 | D4 | 1 | 1 | yes | characteristic |
| 92 | #424 | D4 | 1 | 1 | yes | characteristic |
| 93 | #423 | D4 | 1 | 1 | yes | characteristic |
| 94 | #421 | — | 2 | 1 | no | — |
| 95 | #421 | — | 2 | 1 | no | — |
| 96 | C2×#104 | — | 2 | 1 | no | — |
| 97 | #410 | — | 2 | 1 | no | — |
| 98 | #408 | — | 2 | 1 | no | — |
| 99 | #405 | C23 | 1 | 1 | yes | characteristic |
| 100 | #405 | C23 | 1 | 1 | yes | characteristic |
| 101 | C4×M16 | — | 2 | 1 | no | — |
| 102 | C2×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 103 | #368 | — | 2 | 2 | no | — |
| 104 | #365 | — | 2 | 2 | no | — |
| 105 | #365 | — | 4 | 1 | no | — |
| 106 | #365 | — | 4 | 1 | no | — |
| 107 | #364 | — | 4 | 1 | no | — |
| 108 | #362 | Q8 | 1 | 2 | yes | complemented |
| 109 | #361 | Q8 | 1 | 2 | yes | complemented |
| 110 | #360 | — | 4 | 1 | no | — |
| 111 | #360 | — | 4 | 1 | no | — |
| 112 | #359 | — | 2 | 2 | no | — |
| 113 | #347 | — | 4 | 1 | no | — |
| 114 | #344 | — | 2 | 1 | no | — |
| 115 | #344 | — | 2 | 1 | no | — |
| 116 | #343 | — | 2 | 1 | no | — |
| 117 | #343 | — | 2 | 1 | no | — |
| 118 | #343 | — | 2 | 1 | no | — |
| 119 | #343 | — | 2 | 1 | no | — |
| 120 | #341 | — | 2 | 1 | no | — |
| 121 | #339 | — | 2 | 1 | no | — |
| 122 | H(3,ℤ/4) | — | 2 | 1 | no | — |
| 123 | C2×#41 | — | 2 | 1 | no | — |
| 124 | C22×Q8 | — | 4 | 1 | no | — |
| 125 | #135 | — | 2 | 1 | no | — |
| 126 | #135 | — | 2 | 1 | no | — |
| 127 | #135 | — | 2 | 1 | no | — |
| 128 | #135 | — | 2 | 1 | no | — |
| 129 | C2×Q16 | C2×Q8 | 1 | 1 | yes | characteristic |
| 130 | C2×SD16 | — | 2 | 1 | no | — |
| 131 | C2×D8 | C2×Q8 | 1 | 1 | yes | characteristic |
| 132 | #131 | — | 4 | 2 | no | — |
| 133 | #131 | — | 8 | 1 | no | — |
| 134 | C2×M16 | — | 2 | 1 | no | — |
| 135 | C2×M16 | — | 2 | 1 | no | — |
| 136 | C2×M16 | — | 2 | 1 | no | — |
| 137 | C2×M16 | — | 2 | 1 | no | — |
| 138 | C2×M16 | — | 8 | 1 | no | — |
| 139 | C2×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | C2×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 141 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 142 | C22×C8 | C24 | 1 | 1 | yes | characteristic |
| 143 | C4⋊Q8 | — | 2 | 1 | no | — |
| 144 | C4⋊Q8 | — | 4 | 1 | no | — |
| 145 | C4⋊Q8 | — | 4 | 1 | no | — |
| 146 | C4⋊Q8 | — | 4 | 1 | no | — |
| 147 | C4⋊Q8 | — | 4 | 1 | no | — |
| 148 | #125 | — | 2 | 1 | no | — |
| 149 | C22⋊Q8 | — | 4 | 1 | no | — |
| 150 | C4×Q8 | — | 4 | 1 | no | — |
| 151 | #117 | — | 2 | 1 | no | — |
| 152 | #117 | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | #117 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 155 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 156 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 157 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 158 | M32 | — | 2 | 1 | no | — |
| 159 | M32 | — | 2 | 1 | no | — |
| 160 | M32 | — | 2 | 1 | no | — |
| 161 | M32 | — | 2 | 1 | no | — |
| 162 | M32 | — | 2 | 1 | no | — |
| 163 | M32 | — | 2 | 1 | no | — |
| 164 | M32 | — | 2 | 1 | no | — |
| 165 | M32 | C2×Q8 | 1 | 2 | yes | — |
| 166 | C2×C16 | — | 2 | 1 | no | — |
| 167 | C2×C16 | — | 2 | 1 | no | — |
| 168 | C2×C16 | — | 2 | 1 | no | — |
| 169 | C2×C16 | — | 2 | 1 | no | — |
| 170 | #108 | — | 2 | 1 | no | — |
| 171 | #108 | — | 2 | 1 | no | — |
| 172 | #108 | — | 2 | 1 | no | — |
| 173 | #108 | — | 2 | 1 | no | — |
| 174 | #108 | — | 2 | 1 | no | — |
| 175 | #108 | — | 2 | 1 | no | — |
| 176 | #108 | — | 8 | 1 | no | — |
| 177 | #108 | C2×Q8 | 1 | 2 | yes | — |
| 178 | #108 | #41 | 1 | 2 | yes | — |
| 179 | #107 | — | 2 | 1 | no | — |
| 180 | #107 | — | 4 | 1 | no | — |
| 181 | #107 | — | 4 | 1 | no | — |
| 182 | #107 | — | 4 | 1 | no | — |
| 183 | #107 | — | 4 | 1 | no | — |
| 184 | #106 | — | 2 | 1 | no | — |
| 185 | #106 | — | 2 | 1 | no | — |
| 186 | #106 | — | 2 | 1 | no | — |
| 187 | #106 | — | 2 | 1 | no | — |
| 188 | #106 | — | 2 | 1 | no | — |
| 189 | #106 | — | 4 | 1 | no | — |
| 190 | #106 | — | 4 | 1 | no | — |
| 191 | #106 | — | 4 | 1 | no | — |
| 192 | #106 | — | 4 | 1 | no | — |
| 193 | #106 | — | 4 | 2 | no | — |
| 194 | C4⋊C8 | — | 4 | 1 | no | — |
| 195 | C4⋊C8 | — | 4 | 1 | no | — |
| 196 | C4⋊C8 | — | 4 | 1 | no | — |
| 197 | C4⋊C8 | — | 8 | 1 | no | — |
| 198 | #104 | — | 4 | 2 | no | — |
| 199 | #104 | — | 4 | 1 | no | — |
| 200 | #104 | — | 4 | 1 | no | — |
| 201 | #104 | — | 8 | 1 | no | — |
| 202 | #99 | — | 4 | 2 | no | — |
| 203 | C22⋊C8 | — | 8 | 1 | no | — |
| 204 | #97 | — | 2 | 1 | no | — |
| 205 | #97 | — | 2 | 1 | no | — |
| 206 | #97 | — | 4 | 1 | no | — |
| 207 | C4×C8 | — | 2 | 1 | no | — |
| 208 | C4×C8 | — | 2 | 1 | no | — |
| 209 | C4×C8 | — | 2 | 1 | no | — |
| 210 | C4×C8 | — | 2 | 1 | no | — |
| 211 | C4×C8 | — | 4 | 1 | no | — |
| 212 | #41 | — | 4 | 1 | no | — |
| 213 | #41 | — | 4 | 1 | no | — |
| 214 | #41 | — | 4 | 1 | no | — |
| 215 | #41 | — | 4 | 1 | no | — |
| 216 | C2×Q8 | — | 2 | 1 | no | — |
| 217 | C2×Q8 | — | 4 | 1 | no | — |
| 218 | C2×Q8 | — | 8 | 1 | no | — |
| 219 | C2×Q8 | — | 8 | 1 | no | — |
| 220 | C2×Q8 | — | 16 | 2 | no | — |
| 221 | C2×D4 | — | 2 | 1 | no | — |
| 222 | C2×D4 | — | 4 | 1 | no | — |
| 223 | C22×C4 | — | 2 | 1 | no | — |
| 224 | C22×C4 | — | 4 | 1 | no | — |
| 225 | C22×C4 | — | 4 | 1 | no | — |
| 226 | C22×C4 | — | 4 | 1 | no | — |
| 227 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 228 | Q16 | — | 2 | 1 | no | — |
| 229 | Q16 | — | 2 | 1 | no | — |
| 230 | SD16 | — | 4 | 1 | no | — |
| 231 | SD16 | — | 4 | 1 | no | — |
| 232 | D8 | — | 2 | 1 | no | — |
| 233 | D8 | — | 2 | 1 | no | — |
| 234 | M16 | — | 2 | 2 | no | — |
| 235 | M16 | — | 2 | 2 | no | — |
| 236 | M16 | — | 2 | 1 | no | — |
| 237 | M16 | — | 2 | 1 | no | — |
| 238 | M16 | — | 2 | 1 | no | — |
| 239 | M16 | — | 2 | 1 | no | — |
| 240 | M16 | — | 4 | 1 | no | — |
| 241 | M16 | — | 4 | 1 | no | — |
| 242 | M16 | — | 4 | 1 | no | — |
| 243 | M16 | — | 4 | 1 | no | — |
| 244 | M16 | — | 4 | 1 | no | — |
| 245 | M16 | — | 4 | 1 | no | — |
| 246 | M16 | — | 8 | 2 | no | — |
| 247 | C2×C8 | — | 2 | 1 | no | — |
| 248 | C2×C8 | — | 2 | 1 | no | — |
| 249 | C2×C8 | — | 2 | 1 | no | — |
| 250 | C2×C8 | — | 2 | 1 | no | — |
| 251 | C2×C8 | — | 2 | 1 | no | — |
| 252 | C2×C8 | — | 4 | 1 | no | — |
| 253 | C2×C8 | — | 4 | 1 | no | — |
| 254 | C2×C8 | — | 4 | 1 | no | — |
| 255 | C2×C8 | — | 4 | 1 | no | — |
| 256 | C2×C8 | — | 8 | 2 | no | — |
| 257 | C2×C8 | C22×Q8 | 1 | 1 | yes | characteristic |
| 258 | C2×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 259 | C2×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 260 | C2×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 261 | C2×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 262 | C2×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 263 | C4⋊C4 | — | 2 | 1 | no | — |
| 264 | C4⋊C4 | — | 2 | 1 | no | — |
| 265 | C4⋊C4 | — | 4 | 2 | no | — |
| 266 | C4⋊C4 | — | 4 | 1 | no | — |
| 267 | C4⋊C4 | — | 4 | 1 | no | — |
| 268 | C4⋊C4 | — | 4 | 1 | no | — |
| 269 | C4⋊C4 | — | 4 | 1 | no | — |
| 270 | C4⋊C4 | — | 4 | 1 | no | — |
| 271 | C4⋊C4 | — | 4 | 1 | no | — |
| 272 | C4⋊C4 | — | 8 | 1 | no | — |
| 273 | C4⋊C4 | — | 8 | 1 | no | — |
| 274 | C22⋊C4 | — | 2 | 1 | no | — |
| 275 | C22⋊C4 | — | 2 | 1 | no | — |
| 276 | C22⋊C4 | — | 4 | 1 | no | — |
| 277 | C42 | — | 2 | 1 | no | — |
| 278 | C42 | — | 2 | 1 | no | — |
| 279 | C42 | — | 2 | 1 | no | — |
| 280 | C42 | — | 4 | 1 | no | — |
| 281 | C42 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 282 | C42 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 283 | C16 | — | 2 | 2 | no | — |
| 284 | C16 | — | 4 | 1 | no | — |
| 285 | C16 | — | 4 | 1 | no | — |
| 286 | C16 | — | 4 | 1 | no | — |
| 287 | C23 | — | 4 | 1 | no | — |
| 288 | C23 | #575 | 1 | 1 | yes | characteristic |
| 289 | Q8 | — | 4 | 1 | no | — |
| 290 | Q8 | — | 4 | 1 | no | — |
| 291 | Q8 | — | 8 | 2 | no | — |
| 292 | Q8 | — | 16 | 2 | no | — |
| 293 | Q8 | — | 16 | 2 | no | — |
| 294 | D4 | — | 4 | 1 | no | — |
| 295 | D4 | — | 4 | 1 | no | — |
| 296 | D4 | — | 8 | 1 | no | — |
| 297 | D4 | — | 8 | 1 | no | — |
| 298 | C2×C4 | — | 2 | 1 | no | — |
| 299 | C2×C4 | — | 2 | 1 | no | — |
| 300 | C2×C4 | — | 4 | 2 | no | — |
| 301 | C2×C4 | — | 4 | 1 | no | — |
| 302 | C2×C4 | — | 4 | 1 | no | — |
| 303 | C2×C4 | — | 4 | 1 | no | — |
| 304 | C2×C4 | — | 8 | 1 | no | — |
| 305 | C2×C4 | — | 8 | 1 | no | — |
| 306 | C2×C4 | — | 8 | 1 | no | — |
| 307 | C2×C4 | — | 8 | 1 | no | — |
| 308 | C2×C4 | — | 8 | 1 | no | — |
| 309 | C2×C4 | — | 16 | 1 | no | — |
| 310 | C2×C4 | — | 16 | 1 | no | — |
| 311 | C2×C4 | #534 | 1 | 1 | yes | characteristic |
| 312 | C2×C4 | #548 | 1 | 1 | yes | characteristic |
| 313 | C2×C4 | D4×Q8 | 1 | 1 | yes | characteristic |
| 314 | C2×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 315 | C2×C4 | #577 | 1 | 1 | yes | characteristic |
| 316 | C2×C4 | #577 | 1 | 1 | yes | characteristic |
| 317 | C8 | — | 4 | 2 | no | — |
| 318 | C8 | — | 4 | 2 | no | — |
| 319 | C8 | — | 4 | 1 | no | — |
| 320 | C8 | — | 4 | 1 | no | — |
| 321 | C8 | — | 4 | 1 | no | — |
| 322 | C8 | — | 8 | 1 | no | — |
| 323 | C8 | — | 8 | 1 | no | — |
| 324 | C8 | #542 | 1 | 1 | yes | characteristic |
| 325 | C8 | #544 | 1 | 1 | yes | characteristic |
| 326 | C8 | #554 | 1 | 1 | yes | characteristic |
| 327 | C8 | #563 | 1 | 1 | yes | characteristic |
| 328 | C22 | — | 4 | 1 | no | — |
| 329 | C22 | — | 8 | 1 | no | — |
| 330 | C22 | — | 16 | 1 | no | — |
| 331 | C22 | #3194 | 1 | 1 | yes | characteristic |
| 332 | C22 | #3371 | 1 | 1 | yes | characteristic |
| 333 | C22 | #3388 | 1 | 1 | yes | characteristic |
| 334 | C4 | — | 2 | 2 | no | — |
| 335 | C4 | — | 4 | 1 | no | — |
| 336 | C4 | — | 8 | 1 | no | — |
| 337 | C4 | — | 8 | 1 | no | — |
| 338 | C4 | — | 8 | 1 | no | — |
| 339 | C4 | — | 16 | 1 | no | — |
| 340 | C4 | — | 16 | 1 | no | — |
| 341 | C4 | — | 16 | 1 | no | — |
| 342 | C4 | #2729 | 1 | 1 | yes | characteristic |
| 343 | C4 | #3200 | 1 | 1 | yes | characteristic |
| 344 | C4 | #3373 | 1 | 1 | yes | characteristic |
| 345 | C4 | #3384 | 1 | 1 | yes | characteristic |
| 346 | C2 | — | 2 | 1 | no | — |
| 347 | C2 | — | 2 | 1 | no | — |
| 348 | C2 | — | 2 | 1 | no | — |
| 349 | C2 | — | 16 | 1 | no | — |
| 350 | C2 | #32584 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta