| 1 | #22622823 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22612172 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #22612154 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22612088 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22612068 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22611968 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #22611968 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22611840 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22611795 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C4×#14556535 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C73×#3391 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #17989315 | — | 2 | 1 | no | — |
| 13 | C2×#14556535 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#14556535 | C22 | 1 | 2 | yes | — |
| 15 | #17988992 | C22 | 1 | 1 | yes | characteristic |
| 16 | #17988989 | C22 | 1 | 2 | yes | — |
| 17 | #17988895 | — | 2 | 2 | no | — |
| 18 | #17988873 | — | 2 | 1 | no | — |
| 19 | C4×Dic292 | C22 | 1 | 1 | yes | characteristic |
| 20 | C4×Dic292 | C22 | 1 | 2 | yes | — |
| 21 | #17988414 | C22 | 1 | 1 | yes | characteristic |
| 22 | #17988412 | C22 | 1 | 2 | yes | — |
| 23 | C4⋊#11924003 | C22 | 1 | 1 | yes | characteristic |
| 24 | C4⋊#11924003 | C22 | 1 | 2 | yes | — |
| 25 | #17988390 | C22 | 1 | 1 | yes | characteristic |
| 26 | #17988388 | C22 | 1 | 2 | yes | — |
| 27 | #17988388 | C22 | 1 | 2 | yes | — |
| 28 | #17988388 | C22 | 1 | 2 | yes | — |
| 29 | #17988388 | C22 | 1 | 1 | yes | characteristic |
| 30 | #17988388 | C22 | 1 | 2 | yes | — |
| 31 | #17988363 | C22 | 1 | 2 | yes | — |
| 32 | C4×#11924003 | C22 | 1 | 1 | yes | characteristic |
| 33 | #550×C73 | — | 2 | 1 | no | — |
| 34 | #493×C73 | C22 | 1 | 1 | yes | characteristic |
| 35 | #493×C73 | C22 | 1 | 2 | yes | — |
| 36 | #459×C73 | — | 2 | 1 | no | — |
| 37 | #459×C73 | — | 2 | 2 | no | — |
| 38 | C8×Q8×C73 | C22 | 1 | 1 | yes | characteristic |
| 39 | C4×D8×C73 | C22 | 1 | 1 | yes | characteristic |
| 40 | C4×D8×C73 | C22 | 1 | 2 | yes | — |
| 41 | C2×Dic292 | C23 | 1 | 1 | yes | characteristic |
| 42 | #14556591 | — | 2 | 1 | no | — |
| 43 | #14556589 | — | 4 | 1 | no | — |
| 44 | #14556583 | — | 2 | 2 | no | — |
| 45 | #14556581 | — | 4 | 2 | no | — |
| 46 | C4×Dic146 | — | 2 | 1 | no | — |
| 47 | C4×Dic146 | — | 2 | 2 | no | — |
| 48 | #14556556 | — | 4 | 1 | no | — |
| 49 | #14556535 | — | 2 | 2 | no | — |
| 50 | #14556535 | — | 2 | 4 | no | — |
| 51 | C2×#11924003 | C23 | 1 | 1 | yes | characteristic |
| 52 | C2×#11924003 | C23 | 1 | 1 | yes | characteristic |
| 53 | C2×#11924003 | C23 | 1 | 2 | yes | — |
| 54 | #14556525 | — | 2 | 1 | no | — |
| 55 | #14556525 | C23 | 1 | 2 | yes | — |
| 56 | #14556525 | C23 | 1 | 1 | yes | characteristic |
| 57 | #14556523 | — | 2 | 2 | no | — |
| 58 | #14556516 | — | 2 | 2 | no | — |
| 59 | #14556516 | — | 2 | 1 | no | — |
| 60 | C2×#41×C73 | — | 4 | 1 | no | — |
| 61 | C2×D8×C73 | — | 2 | 2 | no | — |
| 62 | C2×D8×C73 | — | 2 | 1 | no | — |
| 63 | C2×D8×C73 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×D8×C73 | C23 | 1 | 2 | yes | — |
| 65 | #127×C73 | — | 2 | 2 | no | — |
| 66 | #127×C73 | — | 2 | 1 | no | — |
| 67 | #121×C73 | — | 4 | 1 | no | — |
| 68 | #121×C73 | — | 4 | 2 | no | — |
| 69 | C4×Q8×C73 | D4 | 1 | 1 | yes | characteristic |
| 70 | C4×D4×C73 | — | 2 | 2 | no | — |
| 71 | C4×D4×C73 | — | 2 | 1 | no | — |
| 72 | #107×C73 | C23 | 1 | 1 | yes | characteristic |
| 73 | C4⋊C8×C73 | D4 | 1 | 1 | yes | characteristic |
| 74 | C4⋊C8×C73 | D4 | 1 | 2 | yes | — |
| 75 | #102×C73 | — | 2 | 2 | no | — |
| 76 | #102×C73 | — | 2 | 1 | no | — |
| 77 | C4×C8×C73 | C23 | 1 | 1 | yes | characteristic |
| 78 | C4×C8×C73 | C23 | 1 | 2 | yes | — |
| 79 | C2×Dic146 | — | 2 | 1 | no | — |
| 80 | C2×Dic146 | — | 4 | 1 | no | — |
| 81 | Dic292 | — | 2 | 1 | no | — |
| 82 | Dic292 | #41 | 1 | 2 | yes | complemented |
| 83 | C4⋊Dic73 | — | 2 | 1 | no | — |
| 84 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 85 | C4⋊Dic73 | — | 4 | 1 | no | — |
| 86 | #11924007 | — | 4 | 2 | no | — |
| 87 | #11924007 | — | 4 | 1 | no | — |
| 88 | #11924007 | — | 4 | 2 | no | — |
| 89 | #11924007 | — | 4 | 2 | no | — |
| 90 | C4×Dic73 | — | 4 | 2 | no | — |
| 91 | C4×Dic73 | — | 4 | 1 | no | — |
| 92 | #11924003 | — | 2 | 1 | no | — |
| 93 | #11924003 | — | 2 | 2 | no | — |
| 94 | #11924003 | — | 2 | 1 | no | — |
| 95 | #41×C73 | — | 8 | 4 | no | — |
| 96 | C2×Q8×C73 | D8 | 1 | 1 | yes | characteristic |
| 97 | C2×D4×C73 | — | 2 | 2 | no | — |
| 98 | C2×D4×C73 | — | 2 | 1 | no | — |
| 99 | C2×D4×C73 | — | 4 | 2 | no | — |
| 100 | C2×D4×C73 | — | 4 | 1 | no | — |
| 101 | C2×D4×C73 | — | 4 | 2 | no | — |
| 102 | C2×D4×C73 | — | 4 | 1 | no | — |
| 103 | C22×C4×C73 | — | 4 | 2 | no | — |
| 104 | C22×C4×C73 | — | 4 | 1 | no | — |
| 105 | D8×C73 | — | 2 | 1 | no | — |
| 106 | D8×C73 | — | 2 | 2 | no | — |
| 107 | D8×C73 | — | 2 | 1 | no | — |
| 108 | D8×C73 | — | 2 | 2 | no | — |
| 109 | D8×C73 | — | 8 | 2 | no | — |
| 110 | D8×C73 | — | 8 | 1 | no | — |
| 111 | C2×C8×C73 | C2×D4 | 1 | 2 | yes | — |
| 112 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C2×C8×C73 | C24 | 1 | 1 | yes | characteristic |
| 114 | C4⋊C4×C73 | — | 2 | 1 | no | — |
| 115 | C4⋊C4×C73 | D8 | 1 | 1 | yes | characteristic |
| 116 | C4⋊C4×C73 | D8 | 1 | 2 | yes | — |
| 117 | C22⋊C4×C73 | — | 4 | 2 | no | — |
| 118 | C22⋊C4×C73 | — | 4 | 1 | no | — |
| 119 | C42×C73 | C2×D4 | 1 | 2 | yes | — |
| 120 | C42×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C23×C73 | — | 4 | 2 | no | — |
| 122 | C23×C73 | — | 4 | 1 | no | — |
| 123 | Q8×C73 | — | 2 | 2 | no | — |
| 124 | D4×C73 | — | 4 | 1 | no | — |
| 125 | D4×C73 | — | 4 | 2 | no | — |
| 126 | D4×C73 | — | 4 | 1 | no | — |
| 127 | D4×C73 | — | 4 | 2 | no | — |
| 128 | D4×C73 | — | 8 | 4 | no | — |
| 129 | D4×C73 | — | 8 | 2 | no | — |
| 130 | D4×C73 | — | 16 | 2 | no | — |
| 131 | D4×C73 | — | 16 | 1 | no | — |
| 132 | C2×C4×C73 | — | 4 | 1 | no | — |
| 133 | C2×C4×C73 | — | 8 | 4 | no | — |
| 134 | C2×C4×C73 | — | 8 | 2 | no | — |
| 135 | C2×C4×C73 | C2×D8 | 1 | 2 | yes | — |
| 136 | C2×C4×C73 | C2×D8 | 1 | 1 | yes | characteristic |
| 137 | C2×C4×C73 | C2×D8 | 1 | 2 | yes | — |
| 138 | C2×C4×C73 | C2×D8 | 1 | 1 | yes | characteristic |
| 139 | C2×C4×C73 | C22×D4 | 1 | 1 | yes | characteristic |
| 140 | C2×Dic73 | — | 4 | 1 | no | — |
| 141 | C2×Dic73 | — | 4 | 1 | no | — |
| 142 | C2×Dic73 | — | 4 | 2 | no | — |
| 143 | Dic146 | — | 2 | 2 | no | — |
| 144 | Dic146 | — | 4 | 1 | no | — |
| 145 | Dic146 | — | 8 | 2 | no | — |
| 146 | C8×C73 | — | 2 | 2 | no | — |
| 147 | C8×C73 | — | 2 | 1 | no | — |
| 148 | C8×C73 | C2×#41 | 1 | 1 | yes | characteristic |
| 149 | C8×C73 | 2−1+4 | 1 | 1 | yes | characteristic |
| 150 | C22×C73 | — | 8 | 2 | no | — |
| 151 | C22×C73 | — | 8 | 1 | no | — |
| 152 | C22×C73 | — | 8 | 2 | no | — |
| 153 | C22×C73 | — | 8 | 1 | no | — |
| 154 | C22×C73 | — | 8 | 2 | no | — |
| 155 | C22×C73 | — | 8 | 1 | no | — |
| 156 | C22×C73 | C22×D8 | 1 | 1 | yes | characteristic |
| 157 | C4×C73 | — | 2 | 2 | no | — |
| 158 | C4×C73 | — | 2 | 2 | no | — |
| 159 | C4×C73 | — | 2 | 1 | no | — |
| 160 | C4×C73 | — | 8 | 1 | no | — |
| 161 | C4×C73 | #509 | 1 | 2 | yes | — |
| 162 | C4×C73 | #548 | 1 | 1 | yes | characteristic |
| 163 | C4×C73 | #577 | 1 | 1 | yes | characteristic |
| 164 | Dic73 | — | 4 | 2 | no | — |
| 165 | Dic73 | — | 8 | 2 | no | — |
| 166 | Dic73 | — | 8 | 1 | no | — |
| 167 | #33935 | — | 73 | 1 | no | maximal, Sylow |
| 168 | C2×C73 | — | 16 | 2 | no | — |
| 169 | C2×C73 | — | 16 | 1 | no | — |
| 170 | C2×C73 | #3358 | 1 | 1 | yes | characteristic |
| 171 | C2×C73 | C2×#509 | 1 | 1 | yes | characteristic |
| 172 | C2×C73 | #3416 | 1 | 1 | yes | characteristic |
| 173 | #3391 | D73 | 1 | 1 | yes | characteristic |
| 174 | #3383 | — | 73 | 1 | no | — |
| 175 | #2244 | — | 73 | 2 | no | — |
| 176 | #2240 | — | 73 | 1 | no | — |
| 177 | #2228 | — | 73 | 2 | no | — |
| 178 | #2224 | — | 73 | 1 | no | — |
| 179 | #2207 | — | 73 | 2 | no | — |
| 180 | #2207 | — | 73 | 1 | no | — |
| 181 | #2183 | — | 73 | 1 | no | — |
| 182 | #2175 | — | 73 | 2 | no | — |
| 183 | C4×SD32 | — | 73 | 1 | no | — |
| 184 | C73 | #33935 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 185 | #557 | — | 146 | 1 | no | — |
| 186 | #550 | — | 2 | 1 | no | — |
| 187 | C2×SD32 | — | 73 | 1 | no | — |
| 188 | C2×SD32 | — | 73 | 2 | no | — |
| 189 | #500 | — | 73 | 1 | no | — |
| 190 | #499 | — | 73 | 2 | no | — |
| 191 | #493 | C2×D73 | 1 | 1 | yes | characteristic |
| 192 | #493 | C2×D73 | 1 | 2 | yes | — |
| 193 | #479 | — | 146 | 2 | no | — |
| 194 | #475 | — | 146 | 1 | no | — |
| 195 | #459 | — | 2 | 1 | no | — |
| 196 | #459 | — | 2 | 2 | no | — |
| 197 | C8×Q8 | C2×D73 | 1 | 1 | yes | characteristic |
| 198 | C4×Q16 | — | 73 | 1 | no | — |
| 199 | C4×Q16 | — | 73 | 2 | no | — |
| 200 | C4×D8 | C2×D73 | 1 | 1 | yes | characteristic |
| 201 | C4×D8 | C2×D73 | 1 | 2 | yes | — |
| 202 | #367 | — | 73 | 1 | no | — |
| 203 | #366 | — | 73 | 2 | no | — |
| 204 | C4⋊C16 | — | 73 | 1 | no | — |
| 205 | C4⋊C16 | — | 73 | 2 | no | — |
| 206 | #358 | — | 73 | 1 | no | — |
| 207 | #357 | — | 73 | 1 | no | — |
| 208 | #357 | — | 73 | 2 | no | — |
| 209 | #357 | — | 73 | 2 | no | — |
| 210 | #357 | — | 73 | 2 | no | — |
| 211 | #357 | — | 73 | 2 | no | — |
| 212 | #346 | — | 73 | 2 | no | — |
| 213 | C4×C16 | — | 73 | 1 | no | — |
| 214 | C2×#41 | — | 4 | 1 | no | — |
| 215 | C2×Q16 | — | 73 | 1 | no | — |
| 216 | C2×D8 | — | 2 | 2 | no | — |
| 217 | C2×D8 | — | 2 | 1 | no | — |
| 218 | C2×D8 | C22×D73 | 1 | 1 | yes | characteristic |
| 219 | C2×D8 | C22×D73 | 1 | 2 | yes | — |
| 220 | C4⋊Q8 | — | 292 | 1 | no | — |
| 221 | C4⋊Q8 | — | 146 | 1 | no | — |
| 222 | #127 | — | 2 | 2 | no | — |
| 223 | #127 | — | 2 | 1 | no | — |
| 224 | #125 | — | 292 | 2 | no | — |
| 225 | #125 | — | 146 | 2 | no | — |
| 226 | #121 | — | 4 | 1 | no | — |
| 227 | #121 | — | 4 | 2 | no | — |
| 228 | C4×Q8 | — | 292 | 1 | no | — |
| 229 | C4×Q8 | — | 146 | 1 | no | — |
| 230 | C4×Q8 | — | 146 | 2 | no | — |
| 231 | C4×Q8 | C22⋊D73 | 1 | 1 | yes | characteristic |
| 232 | C4×D4 | — | 2 | 2 | no | — |
| 233 | C4×D4 | — | 2 | 1 | no | — |
| 234 | SD32 | — | 146 | 2 | no | — |
| 235 | SD32 | — | 146 | 4 | no | — |
| 236 | C2×C16 | — | 73 | 1 | no | — |
| 237 | C2×C16 | — | 73 | 1 | no | — |
| 238 | C2×C16 | — | 73 | 2 | no | — |
| 239 | #107 | — | 73 | 2 | no | — |
| 240 | #107 | — | 73 | 1 | no | — |
| 241 | #107 | — | 146 | 1 | no | — |
| 242 | #107 | C22×D73 | 1 | 1 | yes | characteristic |
| 243 | #106 | — | 146 | 2 | no | — |
| 244 | C4⋊C8 | C22⋊D73 | 1 | 1 | yes | characteristic |
| 245 | C4⋊C8 | C22⋊D73 | 1 | 2 | yes | — |
| 246 | #103 | — | 146 | 2 | no | — |
| 247 | #103 | — | 146 | 1 | no | — |
| 248 | #102 | — | 2 | 2 | no | — |
| 249 | #102 | — | 2 | 1 | no | — |
| 250 | C4×C8 | C22×D73 | 1 | 1 | yes | characteristic |
| 251 | C4×C8 | C22×D73 | 1 | 2 | yes | — |
| 252 | #41 | — | 8 | 4 | no | — |
| 253 | C2×Q8 | — | 292 | 1 | no | — |
| 254 | C2×Q8 | — | 146 | 1 | no | — |
| 255 | C2×Q8 | #11924013 | 1 | 1 | yes | characteristic |
| 256 | C2×D4 | — | 2 | 2 | no | — |
| 257 | C2×D4 | — | 2 | 1 | no | — |
| 258 | C2×D4 | — | 4 | 2 | no | — |
| 259 | C2×D4 | — | 4 | 1 | no | — |
| 260 | C2×D4 | — | 4 | 2 | no | — |
| 261 | C2×D4 | — | 4 | 1 | no | — |
| 262 | C22×C4 | — | 4 | 2 | no | — |
| 263 | C22×C4 | — | 4 | 1 | no | — |
| 264 | Q16 | — | 73 | 2 | no | — |
| 265 | Q16 | — | 146 | 1 | no | — |
| 266 | D8 | — | 2 | 1 | no | — |
| 267 | D8 | — | 2 | 2 | no | — |
| 268 | D8 | — | 2 | 1 | no | — |
| 269 | D8 | — | 2 | 2 | no | — |
| 270 | D8 | — | 8 | 2 | no | — |
| 271 | D8 | — | 8 | 1 | no | — |
| 272 | C2×C8 | C2×C22⋊D73 | 1 | 2 | yes | — |
| 273 | C2×C8 | C2×C22⋊D73 | 1 | 1 | yes | characteristic |
| 274 | C2×C8 | C23×D73 | 1 | 1 | yes | characteristic |
| 275 | C4⋊C4 | — | 2 | 1 | no | — |
| 276 | C4⋊C4 | — | 292 | 2 | no | — |
| 277 | C4⋊C4 | — | 292 | 1 | no | — |
| 278 | C4⋊C4 | — | 292 | 2 | no | — |
| 279 | C4⋊C4 | — | 292 | 2 | no | — |
| 280 | C4⋊C4 | — | 292 | 1 | no | — |
| 281 | C4⋊C4 | — | 146 | 1 | no | — |
| 282 | C4⋊C4 | — | 146 | 2 | no | — |
| 283 | C4⋊C4 | #11924013 | 1 | 1 | yes | characteristic |
| 284 | C4⋊C4 | #11924013 | 1 | 2 | yes | — |
| 285 | C22⋊C4 | — | 4 | 2 | no | — |
| 286 | C22⋊C4 | — | 4 | 1 | no | — |
| 287 | C42 | — | 292 | 2 | no | — |
| 288 | C42 | — | 292 | 1 | no | — |
| 289 | C42 | C2×C22⋊D73 | 1 | 2 | yes | — |
| 290 | C42 | C2×C22⋊D73 | 1 | 1 | yes | characteristic |
| 291 | C16 | — | 146 | 1 | no | — |
| 292 | C16 | — | 146 | 2 | no | — |
| 293 | C16 | — | 146 | 1 | no | — |
| 294 | C23 | — | 4 | 2 | no | — |
| 295 | C23 | — | 4 | 1 | no | — |
| 296 | Q8 | — | 2 | 2 | no | — |
| 297 | Q8 | — | 292 | 1 | no | — |
| 298 | Q8 | — | 584 | 2 | no | — |
| 299 | Q8 | — | 146 | 2 | no | — |
| 300 | D4 | — | 4 | 1 | no | — |
| 301 | D4 | — | 4 | 2 | no | — |
| 302 | D4 | — | 4 | 1 | no | — |
| 303 | D4 | — | 4 | 2 | no | — |
| 304 | D4 | — | 8 | 4 | no | — |
| 305 | D4 | — | 8 | 2 | no | — |
| 306 | D4 | — | 16 | 2 | no | — |
| 307 | D4 | — | 16 | 1 | no | — |
| 308 | C2×C4 | — | 4 | 1 | no | — |
| 309 | C2×C4 | — | 8 | 4 | no | — |
| 310 | C2×C4 | — | 8 | 2 | no | — |
| 311 | C2×C4 | — | 292 | 1 | no | — |
| 312 | C2×C4 | — | 292 | 1 | no | — |
| 313 | C2×C4 | — | 292 | 2 | no | — |
| 314 | C2×C4 | C2×#11924013 | 1 | 2 | yes | — |
| 315 | C2×C4 | C2×#11924013 | 1 | 1 | yes | characteristic |
| 316 | C2×C4 | C2×#11924013 | 1 | 2 | yes | — |
| 317 | C2×C4 | C2×#11924013 | 1 | 1 | yes | characteristic |
| 318 | C2×C4 | C22×C22⋊D73 | 1 | 1 | yes | characteristic |
| 319 | C8 | — | 2 | 2 | no | — |
| 320 | C8 | — | 2 | 1 | no | — |
| 321 | C8 | #41×D73 | 1 | 1 | yes | characteristic |
| 322 | C8 | #14556638 | 1 | 1 | yes | characteristic |
| 323 | C22 | — | 8 | 2 | no | — |
| 324 | C22 | — | 8 | 1 | no | — |
| 325 | C22 | — | 8 | 2 | no | — |
| 326 | C22 | — | 8 | 1 | no | — |
| 327 | C22 | — | 8 | 2 | no | — |
| 328 | C22 | — | 8 | 1 | no | — |
| 329 | C22 | C22×#11924013 | 1 | 1 | yes | characteristic |
| 330 | C4 | — | 2 | 2 | no | — |
| 331 | C4 | — | 2 | 2 | no | — |
| 332 | C4 | — | 2 | 1 | no | — |
| 333 | C4 | — | 8 | 1 | no | — |
| 334 | C4 | — | 292 | 2 | no | — |
| 335 | C4 | — | 584 | 2 | no | — |
| 336 | C4 | — | 584 | 1 | no | — |
| 337 | C4 | #17989023 | 1 | 2 | yes | — |
| 338 | C4 | #17989244 | 1 | 1 | yes | characteristic |
| 339 | C4 | #17989398 | 1 | 1 | yes | characteristic |
| 340 | C2 | — | 16 | 2 | no | — |
| 341 | C2 | — | 16 | 1 | no | — |
| 342 | C2 | #22622562 | 1 | 1 | yes | characteristic |
| 343 | C2 | C2×#17989023 | 1 | 1 | yes | characteristic |
| 344 | C2 | #22623078 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta