| 1 | #22622361 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22621652 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #22612160 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22612141 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22612023 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #22611982 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22611872 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C4×#14556535 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22611750 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22611635 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C73×#2224 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#14556610 | C22 | 1 | 2 | yes | — |
| 13 | #17989311 | — | 2 | 1 | no | — |
| 14 | #17989241 | — | 2 | 1 | no | — |
| 15 | C2×Dic584 | C22 | 1 | 2 | yes | — |
| 16 | C2×#14556535 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C16×D73 | C22 | 1 | 2 | yes | — |
| 18 | #17988967 | C22 | 1 | 1 | yes | characteristic |
| 19 | #17988930 | — | 2 | 2 | no | — |
| 20 | #17988869 | — | 2 | 1 | no | — |
| 21 | #17988829 | C22 | 1 | 2 | yes | — |
| 22 | #17988829 | C22 | 1 | 2 | yes | — |
| 23 | #17988792 | — | 2 | 1 | no | — |
| 24 | #17988750 | — | 2 | 2 | no | — |
| 25 | C4×Dic292 | C22 | 1 | 1 | yes | characteristic |
| 26 | C8×D292 | C22 | 1 | 1 | yes | characteristic |
| 27 | #17988624 | C22 | 1 | 2 | yes | — |
| 28 | #17988414 | C22 | 1 | 1 | yes | characteristic |
| 29 | #17988392 | C22 | 1 | 2 | yes | — |
| 30 | #17988390 | C22 | 1 | 1 | yes | characteristic |
| 31 | #17988390 | C22 | 1 | 2 | yes | — |
| 32 | #17988390 | C22 | 1 | 2 | yes | — |
| 33 | #17988388 | C22 | 1 | 1 | yes | characteristic |
| 34 | #17988366 | C22 | 1 | 2 | yes | — |
| 35 | C4×#11924003 | C22 | 1 | 1 | yes | characteristic |
| 36 | #500×C73 | C22 | 1 | 1 | yes | characteristic |
| 37 | C4×D8×C73 | C22 | 1 | 1 | yes | characteristic |
| 38 | #366×C73 | C22 | 1 | 2 | yes | — |
| 39 | C4⋊C16×C73 | C22 | 1 | 1 | yes | characteristic |
| 40 | #357×C73 | C22 | 1 | 2 | yes | — |
| 41 | C2×#11924027 | — | 2 | 2 | no | — |
| 42 | #14556610 | — | 2 | 4 | no | — |
| 43 | #14556610 | — | 4 | 2 | no | — |
| 44 | C2×Dic292 | — | 2 | 1 | no | — |
| 45 | C2×Dic292 | C23 | 1 | 2 | yes | — |
| 46 | C2×Dic292 | C23 | 1 | 1 | yes | characteristic |
| 47 | C2×#11924016 | — | 2 | 2 | no | — |
| 48 | C2×C8×D73 | C23 | 1 | 2 | yes | — |
| 49 | #14556591 | — | 2 | 1 | no | — |
| 50 | #14556586 | — | 4 | 2 | no | — |
| 51 | #14556580 | — | 4 | 1 | no | — |
| 52 | #14556575 | — | 4 | 2 | no | — |
| 53 | #14556571 | — | 2 | 2 | no | — |
| 54 | #14556571 | — | 2 | 2 | no | — |
| 55 | #14556565 | — | 4 | 1 | no | — |
| 56 | Q8×Dic73 | — | 4 | 1 | no | — |
| 57 | C4×Dic146 | — | 2 | 1 | no | — |
| 58 | C4×D292 | D4 | 1 | 1 | yes | characteristic |
| 59 | #14556549 | — | 2 | 2 | no | — |
| 60 | C2×C4⋊Dic73 | — | 4 | 1 | no | — |
| 61 | Dic584 | — | 4 | 2 | no | — |
| 62 | #14556535 | — | 2 | 2 | no | — |
| 63 | C2×#11924003 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×#11924003 | C23 | 1 | 1 | yes | characteristic |
| 65 | C16×D73 | — | 4 | 2 | no | — |
| 66 | #14556525 | C23 | 1 | 1 | yes | characteristic |
| 67 | #14556522 | — | 2 | 2 | no | — |
| 68 | C4⋊#10596831 | D4 | 1 | 1 | yes | characteristic |
| 69 | #14556516 | — | 2 | 1 | no | — |
| 70 | #14556514 | — | 2 | 2 | no | — |
| 71 | #14556514 | — | 2 | 2 | no | — |
| 72 | #14556503 | D4 | 1 | 2 | yes | — |
| 73 | C2×D8×C73 | C23 | 1 | 1 | yes | characteristic |
| 74 | C4⋊Q8×C73 | — | 2 | 1 | no | — |
| 75 | C4×D4×C73 | — | 2 | 1 | no | — |
| 76 | C2×C16×C73 | C23 | 1 | 2 | yes | — |
| 77 | #107×C73 | — | 2 | 1 | no | — |
| 78 | #107×C73 | C23 | 1 | 2 | yes | — |
| 79 | #107×C73 | C23 | 1 | 1 | yes | characteristic |
| 80 | #102×C73 | — | 2 | 1 | no | — |
| 81 | C4×C8×C73 | C23 | 1 | 1 | yes | characteristic |
| 82 | #11924027 | — | 4 | 4 | no | — |
| 83 | #11924027 | — | 8 | 2 | no | — |
| 84 | C2×Dic146 | — | 2 | 1 | no | — |
| 85 | C2×Dic146 | — | 2 | 2 | no | — |
| 86 | C2×D292 | D8 | 1 | 1 | yes | characteristic |
| 87 | C2×C22⋊D73 | — | 4 | 2 | no | — |
| 88 | C22×Dic73 | — | 4 | 2 | no | — |
| 89 | C2×C4×D73 | C2×D4 | 1 | 2 | yes | — |
| 90 | Dic292 | — | 2 | 1 | no | — |
| 91 | Dic292 | — | 2 | 2 | no | — |
| 92 | Dic292 | — | 2 | 1 | no | — |
| 93 | Dic292 | — | 2 | 2 | no | — |
| 94 | Dic292 | — | 8 | 1 | no | — |
| 95 | #11924016 | — | 4 | 4 | no | — |
| 96 | C2×#10596831 | C2×D4 | 1 | 2 | yes | — |
| 97 | C8×D73 | — | 2 | 2 | no | — |
| 98 | C8×D73 | — | 2 | 2 | no | — |
| 99 | C4⋊Dic73 | — | 2 | 1 | no | — |
| 100 | C4⋊Dic73 | — | 4 | 1 | no | — |
| 101 | C4⋊Dic73 | — | 4 | 1 | no | — |
| 102 | C4⋊Dic73 | — | 4 | 2 | no | — |
| 103 | C4⋊Dic73 | — | 4 | 2 | no | — |
| 104 | C4⋊Dic73 | D8 | 1 | 1 | yes | characteristic |
| 105 | #11924007 | — | 4 | 1 | no | — |
| 106 | #11924005 | — | 4 | 2 | no | — |
| 107 | #11924005 | — | 4 | 2 | no | — |
| 108 | #11924005 | — | 4 | 2 | no | — |
| 109 | #11924005 | D8 | 1 | 2 | yes | — |
| 110 | C4×Dic73 | — | 4 | 1 | no | — |
| 111 | C4×Dic73 | — | 4 | 2 | no | — |
| 112 | #11924003 | — | 2 | 1 | no | — |
| 113 | #11924003 | — | 2 | 1 | no | — |
| 114 | C2×Q8×C73 | — | 4 | 1 | no | — |
| 115 | C2×D4×C73 | — | 2 | 1 | no | — |
| 116 | C22×C4×C73 | — | 4 | 1 | no | — |
| 117 | D8×C73 | — | 2 | 1 | no | — |
| 118 | D8×C73 | #41 | 1 | 2 | yes | — |
| 119 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 120 | C2×C8×C73 | C24 | 1 | 1 | yes | characteristic |
| 121 | C4⋊C4×C73 | — | 2 | 1 | no | — |
| 122 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 123 | C4⋊C4×C73 | — | 4 | 1 | no | — |
| 124 | C22⋊C4×C73 | — | 4 | 1 | no | — |
| 125 | C42×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | C16×C73 | — | 2 | 2 | no | — |
| 127 | C23×C73 | — | 4 | 1 | no | — |
| 128 | C22×D73 | C2×D8 | 1 | 2 | yes | — |
| 129 | Q8×C73 | — | 8 | 2 | no | — |
| 130 | D4×C73 | — | 2 | 2 | no | — |
| 131 | D4×C73 | — | 4 | 1 | no | — |
| 132 | C2×C4×C73 | — | 4 | 1 | no | — |
| 133 | C2×C4×C73 | — | 4 | 2 | no | — |
| 134 | C2×C4×C73 | — | 8 | 2 | no | — |
| 135 | C2×C4×C73 | C2×D8 | 1 | 1 | yes | characteristic |
| 136 | C2×C4×C73 | C2×D8 | 1 | 1 | yes | characteristic |
| 137 | C2×C4×C73 | C22×D4 | 1 | 1 | yes | characteristic |
| 138 | C22⋊D73 | — | 8 | 4 | no | — |
| 139 | C2×Dic73 | — | 4 | 1 | no | — |
| 140 | C2×Dic73 | — | 4 | 1 | no | — |
| 141 | C2×Dic73 | — | 4 | 2 | no | — |
| 142 | C2×Dic73 | — | 8 | 4 | no | — |
| 143 | C2×Dic73 | C2×D8 | 1 | 2 | yes | — |
| 144 | D292 | — | 2 | 2 | no | — |
| 145 | C4×D73 | — | 2 | 2 | no | — |
| 146 | C4×D73 | — | 2 | 2 | no | — |
| 147 | Dic146 | — | 4 | 2 | no | — |
| 148 | Dic146 | — | 4 | 1 | no | — |
| 149 | Dic146 | — | 4 | 2 | no | — |
| 150 | Dic146 | — | 4 | 1 | no | — |
| 151 | C8×C73 | — | 2 | 1 | no | — |
| 152 | C8×C73 | C2×#41 | 1 | 1 | yes | characteristic |
| 153 | C8×C73 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 154 | #10596831 | — | 2 | 2 | no | — |
| 155 | C22×C73 | — | 4 | 2 | no | — |
| 156 | C22×C73 | — | 8 | 1 | no | — |
| 157 | C22×C73 | — | 8 | 1 | no | — |
| 158 | C22×C73 | C22×D8 | 1 | 1 | yes | characteristic |
| 159 | C2×D73 | — | 2 | 2 | no | — |
| 160 | C2×D73 | — | 2 | 2 | no | — |
| 161 | C2×D73 | — | 2 | 2 | no | — |
| 162 | C4×C73 | — | 2 | 1 | no | — |
| 163 | C4×C73 | — | 8 | 1 | no | — |
| 164 | C4×C73 | — | 8 | 2 | no | — |
| 165 | C4×C73 | #508 | 1 | 2 | yes | — |
| 166 | C4×C73 | #546 | 1 | 1 | yes | characteristic |
| 167 | C4×C73 | #577 | 1 | 1 | yes | characteristic |
| 168 | Dic73 | — | 2 | 2 | no | — |
| 169 | Dic73 | — | 8 | 1 | no | — |
| 170 | Dic73 | — | 8 | 1 | no | — |
| 171 | Dic73 | — | 8 | 2 | no | — |
| 172 | #33869 | — | 73 | 1 | no | maximal, Sylow |
| 173 | C2×C73 | — | 8 | 2 | no | — |
| 174 | C2×C73 | #3294 | 1 | 1 | yes | characteristic |
| 175 | C2×C73 | C2×#508 | 1 | 1 | yes | characteristic |
| 176 | C2×C73 | #3417 | 1 | 1 | yes | characteristic |
| 177 | D73 | — | 4 | 2 | no | — |
| 178 | #3342 | — | 73 | 1 | no | — |
| 179 | #3283 | — | 73 | 1 | no | — |
| 180 | #2241 | — | 73 | 1 | no | — |
| 181 | #2237 | — | 73 | 2 | no | — |
| 182 | #2224 | D73 | 1 | 1 | yes | characteristic, complemented |
| 183 | #2216 | — | 73 | 2 | no | — |
| 184 | #2209 | — | 73 | 1 | no | — |
| 185 | #2189 | — | 73 | 2 | no | — |
| 186 | C4×SD32 | — | 73 | 1 | no | — |
| 187 | D4×C16 | — | 73 | 1 | no | — |
| 188 | #2138 | — | 73 | 2 | no | — |
| 189 | C73 | #33869 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 190 | C2×#135 | — | 73 | 2 | no | — |
| 191 | #556 | — | 146 | 1 | no | — |
| 192 | #547 | — | 146 | 1 | no | — |
| 193 | C2×Q32 | — | 73 | 2 | no | — |
| 194 | C2×SD32 | — | 73 | 1 | no | — |
| 195 | C22×C16 | — | 73 | 2 | no | — |
| 196 | #500 | C2×D73 | 1 | 1 | yes | characteristic |
| 197 | #494 | — | 73 | 1 | no | — |
| 198 | #485 | — | 146 | 2 | no | — |
| 199 | #475 | — | 146 | 1 | no | — |
| 200 | #467 | — | 73 | 2 | no | — |
| 201 | #467 | — | 73 | 2 | no | — |
| 202 | #461 | — | 146 | 1 | no | — |
| 203 | #452 | — | 146 | 2 | no | — |
| 204 | C4×Q16 | — | 73 | 1 | no | — |
| 205 | C4×D8 | C2×D73 | 1 | 1 | yes | characteristic |
| 206 | C8×D4 | — | 73 | 1 | no | — |
| 207 | #427 | — | 73 | 2 | no | — |
| 208 | #367 | — | 73 | 1 | no | — |
| 209 | #366 | C2×D73 | 1 | 2 | yes | — |
| 210 | C4⋊C16 | C2×D73 | 1 | 1 | yes | characteristic |
| 211 | #358 | — | 73 | 2 | no | — |
| 212 | #358 | — | 73 | 2 | no | — |
| 213 | #358 | — | 73 | 1 | no | — |
| 214 | #358 | — | 73 | 2 | no | — |
| 215 | #357 | — | 73 | 1 | no | — |
| 216 | #357 | C2×D73 | 1 | 2 | yes | — |
| 217 | C22⋊C16 | — | 73 | 2 | no | — |
| 218 | C4×C16 | — | 73 | 1 | no | — |
| 219 | C2×#41 | — | 146 | 2 | no | — |
| 220 | #135 | — | 292 | 2 | no | — |
| 221 | #135 | — | 146 | 4 | no | — |
| 222 | C2×Q16 | — | 73 | 2 | no | — |
| 223 | C2×Q16 | — | 73 | 1 | no | — |
| 224 | C2×Q16 | — | 146 | 1 | no | — |
| 225 | C2×SD16 | — | 146 | 2 | no | — |
| 226 | C2×D8 | C22×D73 | 1 | 1 | yes | characteristic |
| 227 | C22×C8 | — | 73 | 2 | no | — |
| 228 | C4⋊Q8 | — | 2 | 1 | no | — |
| 229 | C4⋊Q8 | — | 146 | 1 | no | — |
| 230 | #126 | — | 292 | 2 | no | — |
| 231 | #124 | — | 292 | 1 | no | — |
| 232 | #123 | — | 292 | 2 | no | — |
| 233 | C22⋊Q8 | — | 146 | 2 | no | — |
| 234 | C22⋊Q8 | — | 146 | 2 | no | — |
| 235 | #121 | — | 292 | 1 | no | — |
| 236 | C4×Q8 | — | 292 | 1 | no | — |
| 237 | C4×Q8 | — | 146 | 1 | no | — |
| 238 | C4×D4 | — | 2 | 1 | no | — |
| 239 | C4×D4 | — | 73 | 1 | no | — |
| 240 | #117 | — | 146 | 2 | no | — |
| 241 | C2×C4⋊C4 | — | 292 | 1 | no | — |
| 242 | Q32 | — | 292 | 2 | no | — |
| 243 | SD32 | — | 146 | 2 | no | — |
| 244 | C2×C16 | — | 292 | 2 | no | — |
| 245 | C2×C16 | — | 73 | 1 | no | — |
| 246 | C2×C16 | — | 73 | 1 | no | — |
| 247 | C2×C16 | C22×D73 | 1 | 2 | yes | — |
| 248 | #107 | — | 2 | 1 | no | — |
| 249 | #107 | — | 73 | 1 | no | — |
| 250 | #107 | C22×D73 | 1 | 2 | yes | — |
| 251 | #107 | C22×D73 | 1 | 1 | yes | characteristic |
| 252 | #106 | — | 146 | 2 | no | — |
| 253 | C4⋊C8 | — | 73 | 1 | no | — |
| 254 | #103 | — | 146 | 2 | no | — |
| 255 | #103 | — | 146 | 2 | no | — |
| 256 | #103 | — | 146 | 1 | no | — |
| 257 | #102 | — | 2 | 1 | no | — |
| 258 | C22⋊C8 | — | 73 | 2 | no | — |
| 259 | C4×C8 | C22×D73 | 1 | 1 | yes | characteristic |
| 260 | #41 | — | 292 | 4 | no | — |
| 261 | #41 | — | 584 | 2 | no | — |
| 262 | C2×Q8 | — | 4 | 1 | no | — |
| 263 | C2×Q8 | — | 146 | 1 | no | — |
| 264 | C2×Q8 | — | 146 | 2 | no | — |
| 265 | C2×D4 | — | 2 | 1 | no | — |
| 266 | C2×D4 | — | 292 | 2 | no | — |
| 267 | C2×D4 | — | 73 | 1 | no | — |
| 268 | C22×C4 | — | 4 | 1 | no | — |
| 269 | C22×C4 | — | 292 | 2 | no | — |
| 270 | C22×C4 | — | 73 | 2 | no | — |
| 271 | Q16 | — | 584 | 1 | no | — |
| 272 | Q16 | — | 146 | 1 | no | — |
| 273 | Q16 | — | 146 | 2 | no | — |
| 274 | Q16 | — | 146 | 1 | no | — |
| 275 | Q16 | — | 146 | 2 | no | — |
| 276 | SD16 | — | 292 | 4 | no | — |
| 277 | D8 | — | 2 | 1 | no | — |
| 278 | D8 | #11924029 | 1 | 2 | yes | — |
| 279 | C2×C8 | — | 73 | 2 | no | — |
| 280 | C2×C8 | — | 146 | 2 | no | — |
| 281 | C2×C8 | — | 146 | 2 | no | — |
| 282 | C2×C8 | D4×D73 | 1 | 1 | yes | characteristic |
| 283 | C2×C8 | C23×D73 | 1 | 1 | yes | characteristic |
| 284 | C4⋊C4 | — | 2 | 1 | no | — |
| 285 | C4⋊C4 | — | 2 | 2 | no | — |
| 286 | C4⋊C4 | — | 4 | 1 | no | — |
| 287 | C4⋊C4 | — | 292 | 2 | no | — |
| 288 | C4⋊C4 | — | 292 | 2 | no | — |
| 289 | C4⋊C4 | — | 292 | 1 | no | — |
| 290 | C4⋊C4 | — | 292 | 1 | no | — |
| 291 | C4⋊C4 | — | 292 | 1 | no | — |
| 292 | C4⋊C4 | — | 73 | 1 | no | — |
| 293 | C4⋊C4 | — | 146 | 1 | no | — |
| 294 | C22⋊C4 | — | 4 | 1 | no | — |
| 295 | C22⋊C4 | — | 292 | 2 | no | — |
| 296 | C22⋊C4 | — | 292 | 2 | no | — |
| 297 | C22⋊C4 | — | 292 | 2 | no | — |
| 298 | C22⋊C4 | — | 73 | 2 | no | — |
| 299 | C42 | — | 292 | 2 | no | — |
| 300 | C42 | — | 292 | 1 | no | — |
| 301 | C42 | D4×D73 | 1 | 1 | yes | characteristic |
| 302 | C16 | — | 2 | 2 | no | — |
| 303 | C16 | — | 146 | 1 | no | — |
| 304 | C16 | — | 146 | 1 | no | — |
| 305 | C23 | — | 4 | 1 | no | — |
| 306 | C23 | — | 73 | 2 | no | — |
| 307 | Q8 | — | 8 | 2 | no | — |
| 308 | Q8 | — | 292 | 2 | no | — |
| 309 | Q8 | — | 292 | 1 | no | — |
| 310 | Q8 | — | 292 | 2 | no | — |
| 311 | Q8 | — | 292 | 1 | no | — |
| 312 | D4 | — | 2 | 2 | no | — |
| 313 | D4 | — | 4 | 1 | no | — |
| 314 | D4 | — | 584 | 4 | no | — |
| 315 | D4 | — | 146 | 2 | no | — |
| 316 | C2×C4 | — | 4 | 2 | no | — |
| 317 | C2×C4 | — | 4 | 1 | no | — |
| 318 | C2×C4 | — | 8 | 2 | no | — |
| 319 | C2×C4 | — | 292 | 1 | no | — |
| 320 | C2×C4 | — | 292 | 1 | no | — |
| 321 | C2×C4 | — | 292 | 2 | no | — |
| 322 | C2×C4 | — | 584 | 4 | no | — |
| 323 | C2×C4 | — | 73 | 2 | no | — |
| 324 | C2×C4 | — | 146 | 2 | no | — |
| 325 | C2×C4 | — | 146 | 2 | no | — |
| 326 | C2×C4 | D8×D73 | 1 | 1 | yes | characteristic |
| 327 | C2×C4 | D8×D73 | 1 | 1 | yes | characteristic |
| 328 | C2×C4 | C2×D4×D73 | 1 | 1 | yes | characteristic |
| 329 | C8 | — | 2 | 1 | no | — |
| 330 | C8 | — | 146 | 2 | no | — |
| 331 | C8 | C2×#11924029 | 1 | 1 | yes | characteristic |
| 332 | C8 | #14556637 | 1 | 1 | yes | characteristic |
| 333 | C22 | — | 4 | 2 | no | — |
| 334 | C22 | — | 8 | 1 | no | — |
| 335 | C22 | — | 8 | 1 | no | — |
| 336 | C22 | — | 146 | 2 | no | — |
| 337 | C22 | — | 146 | 2 | no | — |
| 338 | C22 | — | 146 | 2 | no | — |
| 339 | C22 | C2×D8×D73 | 1 | 1 | yes | characteristic |
| 340 | C4 | — | 2 | 1 | no | — |
| 341 | C4 | — | 8 | 1 | no | — |
| 342 | C4 | — | 8 | 2 | no | — |
| 343 | C4 | — | 584 | 2 | no | — |
| 344 | C4 | — | 584 | 1 | no | — |
| 345 | C4 | — | 584 | 1 | no | — |
| 346 | C4 | — | 146 | 2 | no | — |
| 347 | C4 | #17989016 | 1 | 2 | yes | — |
| 348 | C4 | #17989228 | 1 | 1 | yes | characteristic |
| 349 | C4 | #17989396 | 1 | 1 | yes | characteristic |
| 350 | C2 | — | 8 | 2 | no | — |
| 351 | C2 | — | 292 | 2 | no | — |
| 352 | C2 | #22621741 | 1 | 1 | yes | characteristic |
| 353 | C2 | C2×#17989016 | 1 | 1 | yes | characteristic |
| 354 | C2 | #22623083 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta