| 1 | #14521745 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #14521448 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #14521387 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #14521377 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #14521373 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #14521367 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #14521356 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #14521346 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #14521297 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #14521297 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C4×#92481 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #14521127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #14521092 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #14521089 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C31×#552 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C31×#126 | — | 2 | 1 | no | — |
| 17 | C31×#125 | — | 2 | 1 | no | — |
| 18 | C31×#125 | C22 | 1 | 1 | yes | characteristic |
| 19 | C31×#123 | — | 2 | 1 | no | — |
| 20 | C31×C22⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 21 | C31×C22⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 22 | C4×Q8×C31 | C22 | 1 | 1 | yes | characteristic |
| 23 | C4×D4×C31 | C22 | 1 | 1 | yes | characteristic |
| 24 | C31×#117 | — | 2 | 1 | no | — |
| 25 | C31×#117 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×C4⋊C4×C31 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#92481 | C22 | 1 | 1 | yes | characteristic |
| 28 | #11758516 | — | 2 | 1 | no | — |
| 29 | #11758507 | C22 | 1 | 1 | yes | characteristic |
| 30 | #11758507 | C22 | 1 | 1 | yes | characteristic |
| 31 | #11758503 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×C4⋊Dic31 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#92474 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#92474 | C22 | 1 | 1 | yes | characteristic |
| 35 | #11758475 | — | 2 | 1 | no | — |
| 36 | #11758460 | — | 2 | 1 | no | — |
| 37 | (C22⋊D31)⋊C4 | — | 2 | 1 | no | — |
| 38 | C4×D124 | C22 | 1 | 1 | yes | characteristic |
| 39 | #11758447 | C22 | 1 | 1 | yes | characteristic |
| 40 | #11758423 | C22 | 1 | 1 | yes | characteristic |
| 41 | #11758423 | C22 | 1 | 1 | yes | characteristic |
| 42 | #11758423 | C22 | 1 | 1 | yes | characteristic |
| 43 | C22⋊(C31⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 44 | C22⋊(C31⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 45 | #11758397 | C22 | 1 | 1 | yes | characteristic |
| 46 | #11758397 | C22 | 1 | 1 | yes | characteristic |
| 47 | #11758397 | C22 | 1 | 1 | yes | characteristic |
| 48 | #11758396 | C22 | 1 | 1 | yes | characteristic |
| 49 | #11758396 | C22 | 1 | 1 | yes | characteristic |
| 50 | #11758396 | C22 | 1 | 1 | yes | characteristic |
| 51 | #11758396 | C22 | 1 | 1 | yes | characteristic |
| 52 | #11758396 | C22 | 1 | 1 | yes | characteristic |
| 53 | #11758395 | C22 | 1 | 1 | yes | characteristic |
| 54 | #11758395 | C22 | 1 | 1 | yes | characteristic |
| 55 | #11758395 | C22 | 1 | 1 | yes | characteristic |
| 56 | #11758395 | C22 | 1 | 1 | yes | characteristic |
| 57 | C4⋊(C31⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 58 | C4×C31⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×Q8×C31 | C23 | 1 | 1 | yes | characteristic |
| 60 | C2×D4×C31 | D4 | 1 | 1 | yes | characteristic |
| 61 | C22×C4×C31 | — | 2 | 1 | no | — |
| 62 | C22×C4×C31 | C23 | 1 | 1 | yes | characteristic |
| 63 | C22×C4×C31 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×C22⋊D31 | — | 2 | 1 | no | — |
| 65 | C2×C22⋊D31 | — | 2 | 1 | no | — |
| 66 | C22×Dic31 | — | 2 | 1 | no | — |
| 67 | C2×D124 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C4×D31 | — | 2 | 1 | no | — |
| 69 | C4⋊C4×C31 | — | 2 | 1 | no | — |
| 70 | C4⋊C4×C31 | — | 2 | 1 | no | — |
| 71 | C4⋊C4×C31 | — | 2 | 1 | no | — |
| 72 | C4⋊C4×C31 | — | 2 | 1 | no | — |
| 73 | C4⋊C4×C31 | — | 2 | 1 | no | — |
| 74 | C4⋊C4×C31 | — | 2 | 1 | no | — |
| 75 | C4⋊C4×C31 | D4 | 1 | 1 | yes | characteristic |
| 76 | C4⋊C4×C31 | C23 | 1 | 1 | yes | characteristic |
| 77 | C4⋊C4×C31 | C23 | 1 | 1 | yes | characteristic |
| 78 | C4⋊C4×C31 | C23 | 1 | 1 | yes | characteristic |
| 79 | C22⋊C4×C31 | — | 2 | 1 | no | — |
| 80 | C22⋊C4×C31 | — | 2 | 1 | no | — |
| 81 | C22⋊C4×C31 | — | 2 | 1 | no | — |
| 82 | C22⋊C4×C31 | D4 | 1 | 1 | yes | characteristic |
| 83 | C22⋊C4×C31 | D4 | 1 | 1 | yes | characteristic |
| 84 | C42×C31 | — | 2 | 1 | no | — |
| 85 | C42×C31 | — | 2 | 1 | no | — |
| 86 | C42×C31 | C23 | 1 | 1 | yes | characteristic |
| 87 | C22⋊Dic31 | — | 2 | 1 | no | — |
| 88 | #92481 | — | 2 | 2 | no | — |
| 89 | (C2×D31)⋊C4 | — | 2 | 1 | no | — |
| 90 | (C2×D31)⋊C4 | — | 2 | 1 | no | — |
| 91 | (C2×D31)⋊C4 | — | 2 | 1 | no | — |
| 92 | C4⋊Dic31 | — | 2 | 1 | no | — |
| 93 | C4⋊Dic31 | C23 | 1 | 1 | yes | characteristic |
| 94 | C4⋊Dic31 | C23 | 1 | 1 | yes | characteristic |
| 95 | C4⋊Dic31 | C23 | 1 | 1 | yes | characteristic |
| 96 | Dic31⋊C4 | — | 2 | 1 | no | — |
| 97 | Dic31⋊C4 | — | 2 | 1 | no | — |
| 98 | C4×Dic31 | — | 2 | 1 | no | — |
| 99 | #92474 | — | 2 | 2 | no | — |
| 100 | #92474 | — | 2 | 2 | no | — |
| 101 | C2×C31⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×C31⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×C31⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×C31⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 105 | C23×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C23×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C22×D31 | — | 2 | 1 | no | — |
| 108 | Q8×C31 | — | 2 | 1 | no | — |
| 109 | Q8×C31 | — | 2 | 1 | no | — |
| 110 | D4×C31 | — | 4 | 1 | no | — |
| 111 | C2×C4×C31 | — | 2 | 1 | no | — |
| 112 | C2×C4×C31 | — | 2 | 1 | no | — |
| 113 | C2×C4×C31 | — | 2 | 1 | no | — |
| 114 | C2×C4×C31 | — | 2 | 1 | no | — |
| 115 | C2×C4×C31 | — | 2 | 1 | no | — |
| 116 | C2×C4×C31 | — | 2 | 1 | no | — |
| 117 | C2×C4×C31 | — | 2 | 1 | no | — |
| 118 | C2×C4×C31 | — | 2 | 1 | no | — |
| 119 | C2×C4×C31 | — | 4 | 2 | no | — |
| 120 | C2×C4×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C2×C4×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C2×C4×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C2×C4×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | C2×C4×C31 | C24 | 1 | 1 | yes | characteristic |
| 125 | C22⋊D31 | — | 4 | 2 | no | — |
| 126 | C22⋊D31 | — | 8 | 1 | no | — |
| 127 | C2×Dic31 | — | 2 | 1 | no | — |
| 128 | C2×Dic31 | — | 2 | 1 | no | — |
| 129 | C2×Dic31 | — | 2 | 1 | no | — |
| 130 | C2×Dic31 | — | 8 | 1 | no | — |
| 131 | D124 | — | 2 | 1 | no | — |
| 132 | D124 | — | 2 | 1 | no | — |
| 133 | C4×D31 | — | 8 | 1 | no | — |
| 134 | C31⋊C8 | — | 2 | 1 | no | — |
| 135 | C31⋊C8 | — | 2 | 1 | no | — |
| 136 | C31⋊C8 | — | 2 | 1 | no | — |
| 137 | C31⋊C8 | #41 | 1 | 2 | yes | — |
| 138 | #3351 | — | 31 | 1 | no | maximal, Sylow |
| 139 | C22×C31 | — | 2 | 1 | no | — |
| 140 | C22×C31 | — | 2 | 1 | no | — |
| 141 | C22×C31 | — | 2 | 1 | no | — |
| 142 | C22×C31 | — | 2 | 1 | no | — |
| 143 | C22×C31 | — | 2 | 1 | no | — |
| 144 | C22×C31 | — | 2 | 1 | no | — |
| 145 | C22×C31 | C22×D4 | 1 | 1 | yes | characteristic |
| 146 | C2×D31 | — | 4 | 1 | no | — |
| 147 | C2×D31 | — | 4 | 1 | no | — |
| 148 | C2×D31 | — | 4 | 1 | no | — |
| 149 | C4×C31 | — | 2 | 1 | no | — |
| 150 | C4×C31 | — | 2 | 1 | no | — |
| 151 | C4×C31 | — | 2 | 1 | no | — |
| 152 | C4×C31 | — | 2 | 1 | no | — |
| 153 | C4×C31 | — | 4 | 1 | no | — |
| 154 | C4×C31 | — | 4 | 1 | no | — |
| 155 | C4×C31 | — | 4 | 1 | no | — |
| 156 | C4×C31 | — | 4 | 1 | no | — |
| 157 | C4×C31 | C2×#41 | 1 | 1 | yes | characteristic |
| 158 | C4×C31 | 2−1+4 | 1 | 1 | yes | characteristic |
| 159 | Dic31 | — | 4 | 1 | no | — |
| 160 | Dic31 | — | 4 | 1 | no | — |
| 161 | Dic31 | — | 4 | 1 | no | — |
| 162 | #553 | — | 31 | 1 | no | — |
| 163 | #552 | D31 | 1 | 1 | yes | characteristic, complemented |
| 164 | #499 | — | 31 | 1 | no | — |
| 165 | #485 | — | 31 | 1 | no | — |
| 166 | #483 | — | 31 | 1 | no | — |
| 167 | #482 | — | 31 | 1 | no | — |
| 168 | #481 | — | 31 | 1 | no | — |
| 169 | #479 | — | 31 | 1 | no | — |
| 170 | #478 | — | 31 | 1 | no | — |
| 171 | #468 | — | 31 | 1 | no | — |
| 172 | #468 | — | 31 | 1 | no | — |
| 173 | C4×SD16 | — | 31 | 1 | no | — |
| 174 | #436 | — | 31 | 1 | no | — |
| 175 | #428 | — | 31 | 1 | no | — |
| 176 | #428 | — | 31 | 1 | no | — |
| 177 | C2×C31 | — | 4 | 1 | no | — |
| 178 | C2×C31 | — | 4 | 1 | no | — |
| 179 | C2×C31 | #547 | 1 | 1 | yes | characteristic |
| 180 | C2×C31 | #575 | 1 | 1 | yes | characteristic |
| 181 | C2×C31 | #577 | 1 | 1 | yes | characteristic |
| 182 | D31 | — | 8 | 1 | no | — |
| 183 | C2×SD16 | — | 31 | 1 | no | — |
| 184 | C2×M16 | — | 31 | 1 | no | — |
| 185 | C2×M16 | — | 31 | 1 | no | — |
| 186 | #126 | — | 2 | 1 | no | — |
| 187 | #126 | — | 62 | 1 | no | — |
| 188 | #125 | — | 2 | 1 | no | — |
| 189 | #125 | — | 31 | 1 | no | — |
| 190 | #125 | C2×D31 | 1 | 1 | yes | characteristic |
| 191 | #123 | — | 2 | 1 | no | — |
| 192 | #123 | — | 62 | 1 | no | — |
| 193 | C22⋊Q8 | C2×D31 | 1 | 1 | yes | characteristic |
| 194 | C22⋊Q8 | C2×D31 | 1 | 1 | yes | characteristic |
| 195 | #121 | — | 31 | 1 | no | — |
| 196 | #121 | — | 31 | 1 | no | — |
| 197 | #121 | — | 62 | 1 | no | — |
| 198 | C4×Q8 | C2×D31 | 1 | 1 | yes | characteristic |
| 199 | C4×D4 | — | 31 | 1 | no | — |
| 200 | C4×D4 | — | 62 | 1 | no | — |
| 201 | C4×D4 | C2×D31 | 1 | 1 | yes | characteristic |
| 202 | #117 | — | 2 | 1 | no | — |
| 203 | #117 | — | 31 | 1 | no | — |
| 204 | #117 | C2×D31 | 1 | 1 | yes | characteristic |
| 205 | C2×C4⋊C4 | — | 31 | 1 | no | — |
| 206 | C2×C4⋊C4 | C2×D31 | 1 | 1 | yes | characteristic |
| 207 | #107 | — | 31 | 1 | no | — |
| 208 | #107 | — | 31 | 1 | no | — |
| 209 | #107 | — | 31 | 1 | no | — |
| 210 | #107 | — | 31 | 1 | no | — |
| 211 | #106 | — | 31 | 1 | no | — |
| 212 | #106 | — | 31 | 1 | no | — |
| 213 | #106 | — | 31 | 1 | no | — |
| 214 | #106 | — | 31 | 1 | no | — |
| 215 | #106 | — | 31 | 1 | no | — |
| 216 | C4⋊C8 | — | 31 | 1 | no | — |
| 217 | #103 | — | 31 | 1 | no | — |
| 218 | #103 | — | 31 | 1 | no | — |
| 219 | #103 | — | 31 | 1 | no | — |
| 220 | #102 | — | 31 | 1 | no | — |
| 221 | #102 | — | 31 | 1 | no | — |
| 222 | #102 | — | 31 | 1 | no | — |
| 223 | C22⋊C8 | — | 31 | 1 | no | — |
| 224 | C22⋊C8 | — | 31 | 1 | no | — |
| 225 | C4×C8 | — | 31 | 1 | no | — |
| 226 | C31 | #3351 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 227 | C2×Q8 | C22×D31 | 1 | 1 | yes | characteristic |
| 228 | C2×D4 | — | 31 | 1 | no | — |
| 229 | C2×D4 | — | 62 | 1 | no | — |
| 230 | C2×D4 | — | 62 | 1 | no | — |
| 231 | C2×D4 | C22⋊D31 | 1 | 1 | yes | characteristic |
| 232 | C22×C4 | — | 2 | 1 | no | — |
| 233 | C22×C4 | — | 62 | 1 | no | — |
| 234 | C22×C4 | — | 62 | 1 | no | — |
| 235 | C22×C4 | C22×D31 | 1 | 1 | yes | characteristic |
| 236 | C22×C4 | C22×D31 | 1 | 1 | yes | characteristic |
| 237 | SD16 | — | 62 | 2 | no | — |
| 238 | M16 | — | 62 | 2 | no | — |
| 239 | M16 | — | 62 | 2 | no | — |
| 240 | C2×C8 | — | 31 | 1 | no | — |
| 241 | C2×C8 | — | 31 | 1 | no | — |
| 242 | C2×C8 | — | 31 | 1 | no | — |
| 243 | C2×C8 | — | 31 | 1 | no | — |
| 244 | C4⋊C4 | — | 2 | 1 | no | — |
| 245 | C4⋊C4 | — | 2 | 1 | no | — |
| 246 | C4⋊C4 | — | 2 | 1 | no | — |
| 247 | C4⋊C4 | — | 2 | 1 | no | — |
| 248 | C4⋊C4 | — | 2 | 1 | no | — |
| 249 | C4⋊C4 | — | 2 | 1 | no | — |
| 250 | C4⋊C4 | — | 31 | 1 | no | — |
| 251 | C4⋊C4 | — | 31 | 1 | no | — |
| 252 | C4⋊C4 | — | 31 | 1 | no | — |
| 253 | C4⋊C4 | — | 62 | 1 | no | — |
| 254 | C4⋊C4 | — | 62 | 1 | no | — |
| 255 | C4⋊C4 | — | 62 | 1 | no | — |
| 256 | C4⋊C4 | C22⋊D31 | 1 | 1 | yes | characteristic |
| 257 | C4⋊C4 | C22×D31 | 1 | 1 | yes | characteristic |
| 258 | C4⋊C4 | C22×D31 | 1 | 1 | yes | characteristic |
| 259 | C4⋊C4 | C22×D31 | 1 | 1 | yes | characteristic |
| 260 | C22⋊C4 | — | 2 | 1 | no | — |
| 261 | C22⋊C4 | — | 2 | 1 | no | — |
| 262 | C22⋊C4 | — | 2 | 1 | no | — |
| 263 | C22⋊C4 | — | 62 | 1 | no | — |
| 264 | C22⋊C4 | — | 62 | 1 | no | — |
| 265 | C22⋊C4 | — | 62 | 1 | no | — |
| 266 | C22⋊C4 | — | 62 | 1 | no | — |
| 267 | C22⋊C4 | C22⋊D31 | 1 | 1 | yes | characteristic |
| 268 | C22⋊C4 | C22⋊D31 | 1 | 1 | yes | characteristic |
| 269 | C42 | — | 2 | 1 | no | — |
| 270 | C42 | — | 2 | 1 | no | — |
| 271 | C42 | — | 62 | 1 | no | — |
| 272 | C42 | C22×D31 | 1 | 1 | yes | characteristic |
| 273 | C23 | — | 62 | 1 | no | — |
| 274 | C23 | C2×C22⋊D31 | 1 | 1 | yes | characteristic |
| 275 | C23 | C2×C22⋊D31 | 1 | 1 | yes | characteristic |
| 276 | Q8 | — | 2 | 1 | no | — |
| 277 | Q8 | — | 2 | 1 | no | — |
| 278 | D4 | — | 4 | 1 | no | — |
| 279 | D4 | — | 62 | 1 | no | — |
| 280 | D4 | — | 62 | 1 | no | — |
| 281 | D4 | — | 124 | 2 | no | — |
| 282 | D4 | — | 248 | 1 | no | — |
| 283 | C2×C4 | — | 2 | 1 | no | — |
| 284 | C2×C4 | — | 2 | 1 | no | — |
| 285 | C2×C4 | — | 2 | 1 | no | — |
| 286 | C2×C4 | — | 2 | 1 | no | — |
| 287 | C2×C4 | — | 2 | 1 | no | — |
| 288 | C2×C4 | — | 2 | 1 | no | — |
| 289 | C2×C4 | — | 2 | 1 | no | — |
| 290 | C2×C4 | — | 2 | 1 | no | — |
| 291 | C2×C4 | — | 4 | 2 | no | — |
| 292 | C2×C4 | — | 62 | 1 | no | — |
| 293 | C2×C4 | — | 62 | 1 | no | — |
| 294 | C2×C4 | — | 62 | 1 | no | — |
| 295 | C2×C4 | — | 248 | 1 | no | — |
| 296 | C2×C4 | — | 248 | 1 | no | — |
| 297 | C2×C4 | C2×C22⋊D31 | 1 | 1 | yes | characteristic |
| 298 | C2×C4 | C2×C22⋊D31 | 1 | 1 | yes | characteristic |
| 299 | C2×C4 | C2×C22⋊D31 | 1 | 1 | yes | characteristic |
| 300 | C2×C4 | C2×C22⋊D31 | 1 | 1 | yes | characteristic |
| 301 | C2×C4 | C23×D31 | 1 | 1 | yes | characteristic |
| 302 | C8 | — | 31 | 2 | no | — |
| 303 | C8 | — | 62 | 1 | no | — |
| 304 | C8 | — | 62 | 1 | no | — |
| 305 | C8 | — | 62 | 1 | no | — |
| 306 | C22 | — | 2 | 1 | no | — |
| 307 | C22 | — | 2 | 1 | no | — |
| 308 | C22 | — | 2 | 1 | no | — |
| 309 | C22 | — | 2 | 1 | no | — |
| 310 | C22 | — | 2 | 1 | no | — |
| 311 | C22 | — | 2 | 1 | no | — |
| 312 | C22 | — | 124 | 1 | no | — |
| 313 | C22 | — | 124 | 1 | no | — |
| 314 | C22 | — | 124 | 1 | no | — |
| 315 | C22 | C22×C22⋊D31 | 1 | 1 | yes | characteristic |
| 316 | C4 | — | 2 | 1 | no | — |
| 317 | C4 | — | 2 | 1 | no | — |
| 318 | C4 | — | 2 | 1 | no | — |
| 319 | C4 | — | 2 | 1 | no | — |
| 320 | C4 | — | 4 | 1 | no | — |
| 321 | C4 | — | 4 | 1 | no | — |
| 322 | C4 | — | 4 | 1 | no | — |
| 323 | C4 | — | 4 | 1 | no | — |
| 324 | C4 | — | 124 | 1 | no | — |
| 325 | C4 | — | 124 | 1 | no | — |
| 326 | C4 | — | 124 | 1 | no | — |
| 327 | C4 | #41×D31 | 1 | 1 | yes | characteristic |
| 328 | C4 | #11758567 | 1 | 1 | yes | characteristic |
| 329 | C2 | — | 4 | 1 | no | — |
| 330 | C2 | — | 4 | 1 | no | — |
| 331 | C2 | — | 248 | 1 | no | — |
| 332 | C2 | #14521698 | 1 | 1 | yes | characteristic |
| 333 | C2 | #14521847 | 1 | 1 | yes | characteristic |
| 334 | C2 | #14521857 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta