| 1 | #20287689 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #20287584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #20276955 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #20276940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20276871 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #20276751 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20276749 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #20276620 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20276590 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C4×#13133158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C53×#2226 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #16811334 | — | 2 | 1 | no | — |
| 13 | #16811294 | — | 2 | 1 | no | — |
| 14 | C2×D848 | C22 | 1 | 2 | yes | — |
| 15 | C2×#13133158 | C22 | 1 | 1 | yes | characteristic |
| 16 | #16811024 | C22 | 1 | 2 | yes | — |
| 17 | #16811000 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16810998 | C22 | 1 | 2 | yes | — |
| 19 | #16810926 | — | 2 | 2 | no | — |
| 20 | #16810910 | — | 2 | 1 | no | — |
| 21 | #16810818 | — | 2 | 1 | no | — |
| 22 | #16810817 | — | 2 | 2 | no | — |
| 23 | C8×Dic106 | C22 | 1 | 1 | yes | characteristic |
| 24 | C4×D424 | C22 | 1 | 1 | yes | characteristic |
| 25 | #16810705 | C22 | 1 | 2 | yes | — |
| 26 | #16810705 | C22 | 1 | 2 | yes | — |
| 27 | #16810448 | C22 | 1 | 1 | yes | characteristic |
| 28 | #16810441 | C22 | 1 | 2 | yes | — |
| 29 | #16810425 | C22 | 1 | 2 | yes | — |
| 30 | #16810424 | C22 | 1 | 1 | yes | characteristic |
| 31 | #16810423 | C22 | 1 | 2 | yes | — |
| 32 | #16810423 | C22 | 1 | 1 | yes | characteristic |
| 33 | #16810423 | C22 | 1 | 2 | yes | — |
| 34 | #16810398 | C22 | 1 | 2 | yes | — |
| 35 | C4×#11719908 | C22 | 1 | 1 | yes | characteristic |
| 36 | C53×#500 | C22 | 1 | 1 | yes | characteristic |
| 37 | C4×D8×C53 | C22 | 1 | 1 | yes | characteristic |
| 38 | C53×#367 | C22 | 1 | 2 | yes | — |
| 39 | C53×C4⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 40 | C53×#357 | C22 | 1 | 2 | yes | — |
| 41 | C2×#11719945 | — | 4 | 1 | no | — |
| 42 | C2×D424 | — | 2 | 1 | no | — |
| 43 | C2×D424 | C23 | 1 | 2 | yes | — |
| 44 | C2×D424 | C23 | 1 | 1 | yes | characteristic |
| 45 | C2×#11719922 | — | 2 | 2 | no | — |
| 46 | #13133214 | — | 2 | 1 | no | — |
| 47 | #13133213 | — | 2 | 2 | no | — |
| 48 | #13133208 | — | 2 | 2 | no | — |
| 49 | #13133197 | — | 4 | 1 | no | — |
| 50 | #13133193 | — | 4 | 2 | no | — |
| 51 | #13133191 | — | 4 | 1 | no | — |
| 52 | #13133190 | — | 4 | 2 | no | — |
| 53 | C4×Dic106 | D4 | 1 | 1 | yes | characteristic |
| 54 | C4×D212 | — | 2 | 1 | no | — |
| 55 | #13133179 | — | 2 | 2 | no | — |
| 56 | #13133179 | — | 2 | 2 | no | — |
| 57 | C4⋊C4×D53 | — | 4 | 1 | no | — |
| 58 | D848 | — | 2 | 4 | no | — |
| 59 | #13133158 | — | 2 | 2 | no | — |
| 60 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 62 | #13133151 | C23 | 1 | 1 | yes | characteristic |
| 63 | #13133148 | — | 2 | 2 | no | — |
| 64 | C4⋊#88322 | D4 | 1 | 1 | yes | characteristic |
| 65 | #13133146 | D4 | 1 | 2 | yes | — |
| 66 | #13133139 | — | 2 | 1 | no | — |
| 67 | #13133137 | — | 2 | 2 | no | — |
| 68 | #13133137 | — | 2 | 2 | no | — |
| 69 | C8×Dic53 | C23 | 1 | 2 | yes | — |
| 70 | C2×D8×C53 | C23 | 1 | 1 | yes | characteristic |
| 71 | C4⋊Q8×C53 | — | 2 | 1 | no | — |
| 72 | C4×D4×C53 | — | 2 | 1 | no | — |
| 73 | C2×C16×C53 | C23 | 1 | 2 | yes | — |
| 74 | #107×C53 | — | 2 | 1 | no | — |
| 75 | #107×C53 | C23 | 1 | 2 | yes | — |
| 76 | #107×C53 | C23 | 1 | 1 | yes | characteristic |
| 77 | #102×C53 | — | 2 | 1 | no | — |
| 78 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×Q8×C53 | — | 4 | 1 | no | — |
| 80 | C2×D4×C53 | — | 2 | 1 | no | — |
| 81 | C22×C4×C53 | — | 4 | 1 | no | — |
| 82 | C2×C22⋊D53 | — | 4 | 2 | no | — |
| 83 | C2×C22⋊D53 | — | 4 | 2 | no | — |
| 84 | #11719945 | — | 8 | 4 | no | — |
| 85 | C2×D212 | — | 2 | 1 | no | — |
| 86 | C2×D212 | — | 2 | 2 | no | — |
| 87 | C2×D212 | — | 4 | 1 | no | — |
| 88 | C2×D212 | — | 4 | 1 | no | — |
| 89 | C2×C4×D53 | — | 4 | 1 | no | — |
| 90 | C2×C4×D53 | — | 4 | 2 | no | — |
| 91 | C2×C4×D53 | — | 4 | 2 | no | — |
| 92 | C2×Dic106 | D8 | 1 | 1 | yes | characteristic |
| 93 | D8×C53 | — | 2 | 1 | no | — |
| 94 | D8×C53 | — | 2 | 1 | no | — |
| 95 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 96 | C2×C8×C53 | C24 | 1 | 1 | yes | characteristic |
| 97 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 98 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 99 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 100 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 101 | C42×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 102 | #11719922 | — | 8 | 2 | no | — |
| 103 | #11719921 | — | 4 | 1 | no | — |
| 104 | #11719921 | — | 4 | 2 | no | — |
| 105 | #11719921 | — | 4 | 2 | no | — |
| 106 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 107 | C4⋊Dic53 | — | 4 | 2 | no | — |
| 108 | C4⋊Dic53 | D8 | 1 | 1 | yes | characteristic |
| 109 | #11719919 | — | 4 | 2 | no | — |
| 110 | #11719919 | D8 | 1 | 2 | yes | — |
| 111 | C4×Dic53 | C2×D4 | 1 | 2 | yes | — |
| 112 | C2×#88322 | C2×D4 | 1 | 2 | yes | — |
| 113 | D424 | — | 2 | 2 | no | — |
| 114 | D424 | — | 2 | 1 | no | — |
| 115 | D424 | — | 2 | 2 | no | — |
| 116 | D424 | — | 8 | 1 | no | — |
| 117 | D424 | #41 | 1 | 2 | yes | complemented |
| 118 | C16×C53 | — | 2 | 2 | no | — |
| 119 | #11719908 | — | 2 | 1 | no | — |
| 120 | #11719908 | — | 2 | 1 | no | — |
| 121 | C23×C53 | — | 4 | 1 | no | — |
| 122 | C22×D53 | — | 4 | 1 | no | — |
| 123 | C22×D53 | — | 4 | 2 | no | — |
| 124 | Q8×C53 | — | 16 | 1 | no | — |
| 125 | D4×C53 | — | 4 | 1 | no | — |
| 126 | D4×C53 | — | 4 | 1 | no | — |
| 127 | C2×C4×C53 | — | 4 | 1 | no | — |
| 128 | C2×C4×C53 | — | 4 | 2 | no | — |
| 129 | C2×C4×C53 | — | 8 | 2 | no | — |
| 130 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 131 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 132 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 133 | C22⋊D53 | — | 8 | 4 | no | — |
| 134 | C22⋊D53 | — | 16 | 2 | no | — |
| 135 | C2×Dic53 | — | 4 | 1 | no | — |
| 136 | C2×Dic53 | C2×D8 | 1 | 2 | yes | — |
| 137 | C2×Dic53 | C2×D8 | 1 | 2 | yes | — |
| 138 | D212 | — | 2 | 2 | no | — |
| 139 | D212 | — | 4 | 2 | no | — |
| 140 | D212 | — | 4 | 1 | no | — |
| 141 | D212 | — | 4 | 2 | no | — |
| 142 | D212 | — | 8 | 2 | no | — |
| 143 | D212 | — | 16 | 1 | no | — |
| 144 | C4×D53 | — | 8 | 4 | no | — |
| 145 | C4×D53 | — | 8 | 2 | no | — |
| 146 | C4×D53 | — | 16 | 2 | no | — |
| 147 | Dic106 | — | 2 | 2 | no | — |
| 148 | C8×C53 | — | 2 | 1 | no | — |
| 149 | C8×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 150 | C8×C53 | 2−1+4 | 1 | 1 | yes | characteristic |
| 151 | #88322 | — | 2 | 2 | no | — |
| 152 | #33933 | — | 53 | 1 | no | maximal, Sylow |
| 153 | C22×C53 | — | 8 | 1 | no | — |
| 154 | C22×C53 | — | 8 | 1 | no | — |
| 155 | C22×C53 | — | 8 | 1 | no | — |
| 156 | C22×C53 | C22×D8 | 1 | 1 | yes | characteristic |
| 157 | C2×D53 | — | 4 | 2 | no | — |
| 158 | C2×D53 | — | 8 | 1 | no | — |
| 159 | C2×D53 | — | 8 | 1 | no | — |
| 160 | C2×D53 | — | 8 | 2 | no | — |
| 161 | C2×D53 | — | 8 | 2 | no | — |
| 162 | C2×D53 | — | 8 | 2 | no | — |
| 163 | C4×C53 | — | 2 | 1 | no | — |
| 164 | C4×C53 | — | 8 | 1 | no | — |
| 165 | C4×C53 | — | 8 | 2 | no | — |
| 166 | C4×C53 | #509 | 1 | 2 | yes | — |
| 167 | C4×C53 | #548 | 1 | 1 | yes | characteristic |
| 168 | C4×C53 | #577 | 1 | 1 | yes | characteristic |
| 169 | Dic53 | — | 2 | 2 | no | — |
| 170 | Dic53 | — | 2 | 2 | no | — |
| 171 | Dic53 | — | 8 | 1 | no | — |
| 172 | #3391 | — | 53 | 1 | no | — |
| 173 | #3380 | — | 53 | 1 | no | — |
| 174 | #2244 | — | 53 | 2 | no | — |
| 175 | #2240 | — | 53 | 1 | no | — |
| 176 | #2228 | — | 53 | 2 | no | — |
| 177 | #2226 | D53 | 1 | 1 | yes | characteristic, complemented |
| 178 | #2206 | — | 53 | 1 | no | — |
| 179 | #2206 | — | 53 | 2 | no | — |
| 180 | #2183 | — | 53 | 1 | no | — |
| 181 | #2177 | — | 53 | 2 | no | — |
| 182 | C4×D16 | — | 53 | 1 | no | — |
| 183 | C2×C53 | — | 16 | 1 | no | — |
| 184 | C2×C53 | #3358 | 1 | 1 | yes | characteristic |
| 185 | C2×C53 | C2×#509 | 1 | 1 | yes | characteristic |
| 186 | C2×C53 | #3415 | 1 | 1 | yes | characteristic |
| 187 | D53 | — | 8 | 2 | no | — |
| 188 | D53 | — | 16 | 2 | no | — |
| 189 | #554 | — | 106 | 1 | no | — |
| 190 | #550 | — | 106 | 1 | no | — |
| 191 | C2×D16 | — | 53 | 1 | no | — |
| 192 | C2×D16 | — | 53 | 2 | no | — |
| 193 | #500 | C2×D53 | 1 | 1 | yes | characteristic |
| 194 | #499 | — | 53 | 2 | no | — |
| 195 | #493 | — | 53 | 2 | no | — |
| 196 | #493 | — | 53 | 1 | no | — |
| 197 | #478 | — | 106 | 2 | no | — |
| 198 | #476 | — | 106 | 1 | no | — |
| 199 | #459 | — | 106 | 2 | no | — |
| 200 | #459 | — | 106 | 1 | no | — |
| 201 | C8×Q8 | — | 53 | 1 | no | — |
| 202 | C4×D8 | — | 53 | 2 | no | — |
| 203 | C4×D8 | — | 53 | 2 | no | — |
| 204 | C4×D8 | — | 53 | 1 | no | — |
| 205 | C4×D8 | C2×D53 | 1 | 1 | yes | characteristic |
| 206 | #367 | C2×D53 | 1 | 2 | yes | — |
| 207 | #366 | — | 53 | 1 | no | — |
| 208 | C4⋊C16 | — | 53 | 2 | no | — |
| 209 | C4⋊C16 | C2×D53 | 1 | 1 | yes | characteristic |
| 210 | #357 | — | 53 | 1 | no | — |
| 211 | #357 | — | 53 | 2 | no | — |
| 212 | #357 | — | 53 | 1 | no | — |
| 213 | #357 | — | 53 | 2 | no | — |
| 214 | #357 | — | 53 | 2 | no | — |
| 215 | #357 | C2×D53 | 1 | 2 | yes | — |
| 216 | #346 | — | 53 | 2 | no | — |
| 217 | C4×C16 | — | 53 | 1 | no | — |
| 218 | C53 | #33933 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 219 | C2×#41 | — | 212 | 1 | no | — |
| 220 | C2×D8 | — | 53 | 1 | no | — |
| 221 | C2×D8 | — | 53 | 2 | no | — |
| 222 | C2×D8 | — | 106 | 2 | no | — |
| 223 | C2×D8 | — | 106 | 1 | no | — |
| 224 | C2×D8 | C22×D53 | 1 | 1 | yes | characteristic |
| 225 | C4⋊Q8 | — | 2 | 1 | no | — |
| 226 | #127 | — | 106 | 2 | no | — |
| 227 | #127 | — | 106 | 1 | no | — |
| 228 | #125 | — | 106 | 2 | no | — |
| 229 | C22⋊Q8 | — | 212 | 1 | no | — |
| 230 | C22⋊Q8 | — | 212 | 2 | no | — |
| 231 | #121 | — | 212 | 2 | no | — |
| 232 | #121 | — | 212 | 1 | no | — |
| 233 | C4×Q8 | — | 53 | 1 | no | — |
| 234 | C4×D4 | — | 2 | 1 | no | — |
| 235 | C4×D4 | — | 106 | 2 | no | — |
| 236 | C4×D4 | — | 106 | 2 | no | — |
| 237 | C4×D4 | — | 106 | 1 | no | — |
| 238 | C2×C4⋊C4 | — | 212 | 1 | no | — |
| 239 | D16 | — | 106 | 4 | no | — |
| 240 | D16 | — | 106 | 2 | no | — |
| 241 | C2×C16 | — | 53 | 1 | no | — |
| 242 | C2×C16 | — | 53 | 1 | no | — |
| 243 | C2×C16 | C22×D53 | 1 | 2 | yes | — |
| 244 | #107 | — | 2 | 1 | no | — |
| 245 | #107 | — | 53 | 1 | no | — |
| 246 | #107 | C22×D53 | 1 | 2 | yes | — |
| 247 | #107 | C22×D53 | 1 | 1 | yes | characteristic |
| 248 | #106 | — | 106 | 2 | no | — |
| 249 | C4⋊C8 | — | 53 | 2 | no | — |
| 250 | C4⋊C8 | — | 53 | 1 | no | — |
| 251 | #102 | — | 2 | 1 | no | — |
| 252 | #102 | — | 106 | 2 | no | — |
| 253 | #102 | — | 106 | 2 | no | — |
| 254 | #102 | — | 106 | 1 | no | — |
| 255 | C4×C8 | — | 53 | 2 | no | — |
| 256 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 257 | #41 | — | 424 | 4 | no | — |
| 258 | C2×Q8 | — | 4 | 1 | no | — |
| 259 | C2×Q8 | — | 53 | 1 | no | — |
| 260 | C2×D4 | — | 2 | 1 | no | — |
| 261 | C2×D4 | — | 106 | 1 | no | — |
| 262 | C2×D4 | — | 106 | 2 | no | — |
| 263 | C2×D4 | — | 212 | 2 | no | — |
| 264 | C2×D4 | — | 212 | 2 | no | — |
| 265 | C2×D4 | — | 212 | 1 | no | — |
| 266 | C2×D4 | — | 212 | 1 | no | — |
| 267 | C22×C4 | — | 4 | 1 | no | — |
| 268 | C22×C4 | — | 212 | 2 | no | — |
| 269 | C22×C4 | — | 212 | 2 | no | — |
| 270 | C22×C4 | — | 212 | 1 | no | — |
| 271 | D8 | — | 2 | 1 | no | — |
| 272 | D8 | — | 2 | 1 | no | — |
| 273 | D8 | — | 53 | 2 | no | — |
| 274 | D8 | — | 106 | 2 | no | — |
| 275 | D8 | — | 106 | 1 | no | — |
| 276 | D8 | — | 106 | 2 | no | — |
| 277 | D8 | — | 424 | 1 | no | — |
| 278 | D8 | — | 424 | 2 | no | — |
| 279 | C2×C8 | — | 53 | 2 | no | — |
| 280 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 281 | C2×C8 | C23×D53 | 1 | 1 | yes | characteristic |
| 282 | C4⋊C4 | — | 2 | 1 | no | — |
| 283 | C4⋊C4 | — | 2 | 2 | no | — |
| 284 | C4⋊C4 | — | 4 | 1 | no | — |
| 285 | C4⋊C4 | — | 53 | 1 | no | — |
| 286 | C4⋊C4 | — | 53 | 2 | no | — |
| 287 | C4⋊C4 | — | 106 | 1 | no | — |
| 288 | C4⋊C4 | — | 212 | 2 | no | — |
| 289 | C4⋊C4 | — | 212 | 2 | no | — |
| 290 | C22⋊C4 | — | 4 | 1 | no | — |
| 291 | C22⋊C4 | — | 212 | 2 | no | — |
| 292 | C22⋊C4 | — | 212 | 2 | no | — |
| 293 | C22⋊C4 | — | 212 | 1 | no | — |
| 294 | C42 | — | 53 | 2 | no | — |
| 295 | C42 | D4×D53 | 1 | 1 | yes | characteristic |
| 296 | C16 | — | 2 | 2 | no | — |
| 297 | C16 | — | 106 | 1 | no | — |
| 298 | C16 | — | 106 | 1 | no | — |
| 299 | C23 | — | 4 | 1 | no | — |
| 300 | C23 | — | 212 | 2 | no | — |
| 301 | C23 | — | 212 | 1 | no | — |
| 302 | Q8 | — | 16 | 1 | no | — |
| 303 | Q8 | — | 106 | 2 | no | — |
| 304 | D4 | — | 4 | 1 | no | — |
| 305 | D4 | — | 4 | 1 | no | — |
| 306 | D4 | — | 848 | 1 | no | — |
| 307 | D4 | — | 848 | 2 | no | — |
| 308 | D4 | — | 106 | 2 | no | — |
| 309 | D4 | — | 424 | 4 | no | — |
| 310 | D4 | — | 424 | 2 | no | — |
| 311 | D4 | — | 212 | 2 | no | — |
| 312 | D4 | — | 212 | 2 | no | — |
| 313 | D4 | — | 212 | 1 | no | — |
| 314 | C2×C4 | — | 4 | 1 | no | — |
| 315 | C2×C4 | — | 4 | 2 | no | — |
| 316 | C2×C4 | — | 8 | 2 | no | — |
| 317 | C2×C4 | — | 53 | 2 | no | — |
| 318 | C2×C4 | — | 53 | 2 | no | — |
| 319 | C2×C4 | — | 848 | 2 | no | — |
| 320 | C2×C4 | — | 424 | 4 | no | — |
| 321 | C2×C4 | — | 424 | 2 | no | — |
| 322 | C2×C4 | — | 212 | 1 | no | — |
| 323 | C2×C4 | D8×D53 | 1 | 1 | yes | characteristic |
| 324 | C2×C4 | D8×D53 | 1 | 1 | yes | characteristic |
| 325 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 326 | C8 | — | 2 | 1 | no | — |
| 327 | C8 | — | 106 | 2 | no | — |
| 328 | C8 | #41×D53 | 1 | 1 | yes | characteristic |
| 329 | C8 | #13133265 | 1 | 1 | yes | characteristic |
| 330 | C22 | — | 8 | 1 | no | — |
| 331 | C22 | — | 8 | 1 | no | — |
| 332 | C22 | — | 8 | 1 | no | — |
| 333 | C22 | — | 424 | 2 | no | — |
| 334 | C22 | — | 424 | 2 | no | — |
| 335 | C22 | — | 424 | 2 | no | — |
| 336 | C22 | — | 424 | 1 | no | — |
| 337 | C22 | — | 424 | 1 | no | — |
| 338 | C22 | — | 212 | 2 | no | — |
| 339 | C22 | C2×D8×D53 | 1 | 1 | yes | characteristic |
| 340 | C4 | — | 2 | 1 | no | — |
| 341 | C4 | — | 8 | 1 | no | — |
| 342 | C4 | — | 8 | 2 | no | — |
| 343 | C4 | — | 106 | 2 | no | — |
| 344 | C4 | — | 106 | 2 | no | — |
| 345 | C4 | — | 424 | 1 | no | — |
| 346 | C4 | #16811060 | 1 | 2 | yes | — |
| 347 | C4 | #16811283 | 1 | 1 | yes | characteristic |
| 348 | C4 | #16811432 | 1 | 1 | yes | characteristic |
| 349 | C2 | — | 16 | 1 | no | — |
| 350 | C2 | — | 848 | 2 | no | — |
| 351 | C2 | — | 424 | 2 | no | — |
| 352 | C2 | #20287349 | 1 | 1 | yes | characteristic |
| 353 | C2 | C2×#16811060 | 1 | 1 | yes | characteristic |
| 354 | C2 | #20287855 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta