| 1 | #21458793 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21458671 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21448044 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #21448041 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #21447955 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #21447855 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21447853 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #21447721 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #21447665 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C4×#14519718 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C61×#2224 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #16840433 | — | 2 | 1 | no | — |
| 13 | #16840427 | — | 2 | 1 | no | — |
| 14 | C2×D976 | C22 | 1 | 2 | yes | — |
| 15 | C2×#14519718 | C22 | 1 | 1 | yes | characteristic |
| 16 | #16840166 | C22 | 1 | 2 | yes | — |
| 17 | #16840139 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16840137 | C22 | 1 | 2 | yes | — |
| 19 | #16840041 | — | 2 | 2 | no | — |
| 20 | #16840039 | — | 2 | 1 | no | — |
| 21 | #16839957 | — | 2 | 1 | no | — |
| 22 | #16839956 | — | 2 | 2 | no | — |
| 23 | C8×Dic122 | C22 | 1 | 1 | yes | characteristic |
| 24 | C4×D488 | C22 | 1 | 1 | yes | characteristic |
| 25 | #16839844 | C22 | 1 | 2 | yes | — |
| 26 | #16839844 | C22 | 1 | 2 | yes | — |
| 27 | #16839587 | C22 | 1 | 1 | yes | characteristic |
| 28 | #16839580 | C22 | 1 | 2 | yes | — |
| 29 | #16839564 | C22 | 1 | 2 | yes | — |
| 30 | #16839563 | C22 | 1 | 1 | yes | characteristic |
| 31 | #16839562 | C22 | 1 | 2 | yes | — |
| 32 | #16839562 | C22 | 1 | 2 | yes | — |
| 33 | #16839562 | C22 | 1 | 1 | yes | characteristic |
| 34 | C4×#11758185 | C22 | 1 | 1 | yes | characteristic |
| 35 | C16×Dic61 | C22 | 1 | 2 | yes | — |
| 36 | C61×#500 | C22 | 1 | 1 | yes | characteristic |
| 37 | C4×D8×C61 | C22 | 1 | 1 | yes | characteristic |
| 38 | C61×#366 | C22 | 1 | 2 | yes | — |
| 39 | C61×C4⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 40 | C61×#357 | C22 | 1 | 2 | yes | — |
| 41 | C2×#11758222 | — | 4 | 1 | no | — |
| 42 | C2×Q8×D61 | — | 4 | 1 | no | — |
| 43 | C2×D488 | — | 2 | 1 | no | — |
| 44 | C2×D488 | C23 | 1 | 2 | yes | — |
| 45 | C2×D488 | C23 | 1 | 1 | yes | characteristic |
| 46 | C2×#11758199 | — | 2 | 2 | no | — |
| 47 | #14519776 | — | 2 | 2 | no | — |
| 48 | #14519774 | — | 2 | 1 | no | — |
| 49 | #14519773 | — | 2 | 2 | no | — |
| 50 | #14519755 | — | 4 | 2 | no | — |
| 51 | #14519753 | — | 4 | 1 | no | — |
| 52 | #14519751 | — | 4 | 1 | no | — |
| 53 | #14519750 | — | 4 | 2 | no | — |
| 54 | C4×Dic122 | D4 | 1 | 1 | yes | characteristic |
| 55 | C4×D244 | — | 2 | 1 | no | — |
| 56 | #14519739 | — | 2 | 2 | no | — |
| 57 | #14519739 | — | 2 | 2 | no | — |
| 58 | D976 | — | 2 | 4 | no | — |
| 59 | #14519718 | — | 2 | 2 | no | — |
| 60 | C2×#11758185 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×#11758185 | C23 | 1 | 1 | yes | characteristic |
| 62 | #14519711 | C23 | 1 | 1 | yes | characteristic |
| 63 | #14519710 | — | 2 | 2 | no | — |
| 64 | C4⋊#92418 | D4 | 1 | 1 | yes | characteristic |
| 65 | #14519706 | D4 | 1 | 2 | yes | — |
| 66 | #14519699 | — | 2 | 1 | no | — |
| 67 | #14519697 | — | 2 | 2 | no | — |
| 68 | #14519697 | — | 2 | 2 | no | — |
| 69 | C8×Dic61 | C23 | 1 | 2 | yes | — |
| 70 | C2×D8×C61 | C23 | 1 | 1 | yes | characteristic |
| 71 | C4⋊Q8×C61 | — | 2 | 1 | no | — |
| 72 | C4×D4×C61 | — | 2 | 1 | no | — |
| 73 | C2×C16×C61 | C23 | 1 | 2 | yes | — |
| 74 | #107×C61 | — | 2 | 1 | no | — |
| 75 | #107×C61 | C23 | 1 | 2 | yes | — |
| 76 | #107×C61 | C23 | 1 | 1 | yes | characteristic |
| 77 | #102×C61 | — | 2 | 1 | no | — |
| 78 | C4×C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×Q8×C61 | — | 4 | 1 | no | — |
| 80 | C2×D4×C61 | — | 2 | 1 | no | — |
| 81 | C22×C4×C61 | — | 4 | 1 | no | — |
| 82 | C2×C22⋊D61 | — | 4 | 2 | no | — |
| 83 | C2×C22⋊D61 | — | 4 | 2 | no | — |
| 84 | Q8×D61 | — | 8 | 4 | no | — |
| 85 | #11758222 | — | 8 | 4 | no | — |
| 86 | C2×D244 | — | 2 | 1 | no | — |
| 87 | C2×D244 | — | 2 | 2 | no | — |
| 88 | C2×D244 | — | 4 | 1 | no | — |
| 89 | C2×D244 | — | 4 | 1 | no | — |
| 90 | C2×C4×D61 | — | 4 | 1 | no | — |
| 91 | C2×C4×D61 | — | 4 | 2 | no | — |
| 92 | C2×C4×D61 | — | 4 | 2 | no | — |
| 93 | C2×Dic122 | — | 4 | 2 | no | — |
| 94 | C2×Dic122 | D8 | 1 | 1 | yes | characteristic |
| 95 | D8×C61 | — | 2 | 1 | no | — |
| 96 | D8×C61 | — | 2 | 1 | no | — |
| 97 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 98 | C2×C8×C61 | C24 | 1 | 1 | yes | characteristic |
| 99 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 100 | C4⋊C4×C61 | — | 2 | 2 | no | — |
| 101 | C4⋊C4×C61 | — | 4 | 1 | no | — |
| 102 | C22⋊C4×C61 | — | 4 | 1 | no | — |
| 103 | C42×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 104 | #11758199 | — | 8 | 2 | no | — |
| 105 | #11758198 | — | 4 | 1 | no | — |
| 106 | #11758198 | — | 4 | 2 | no | — |
| 107 | #11758198 | — | 4 | 2 | no | — |
| 108 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 109 | C4⋊Dic61 | D8 | 1 | 1 | yes | characteristic |
| 110 | #11758196 | — | 4 | 2 | no | — |
| 111 | #11758196 | D8 | 1 | 2 | yes | — |
| 112 | C4×Dic61 | C2×D4 | 1 | 2 | yes | — |
| 113 | C2×#92418 | C2×D4 | 1 | 2 | yes | — |
| 114 | D488 | — | 2 | 2 | no | — |
| 115 | D488 | — | 2 | 1 | no | — |
| 116 | D488 | — | 2 | 2 | no | — |
| 117 | D488 | — | 8 | 1 | no | — |
| 118 | D488 | #41 | 1 | 2 | yes | complemented |
| 119 | C16×C61 | — | 2 | 2 | no | — |
| 120 | #11758185 | — | 2 | 1 | no | — |
| 121 | #11758185 | — | 2 | 1 | no | — |
| 122 | C23×C61 | — | 4 | 1 | no | — |
| 123 | C22×D61 | — | 4 | 1 | no | — |
| 124 | C22×D61 | — | 4 | 2 | no | — |
| 125 | Q8×C61 | — | 8 | 2 | no | — |
| 126 | D4×C61 | — | 4 | 1 | no | — |
| 127 | D4×C61 | — | 4 | 1 | no | — |
| 128 | C2×C4×C61 | — | 4 | 2 | no | — |
| 129 | C2×C4×C61 | — | 4 | 1 | no | — |
| 130 | C2×C4×C61 | — | 8 | 2 | no | — |
| 131 | C2×C4×C61 | C2×D8 | 1 | 1 | yes | characteristic |
| 132 | C2×C4×C61 | C2×D8 | 1 | 1 | yes | characteristic |
| 133 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 134 | C22⋊D61 | — | 8 | 4 | no | — |
| 135 | C22⋊D61 | — | 16 | 2 | no | — |
| 136 | C2×Dic61 | — | 4 | 1 | no | — |
| 137 | C2×Dic61 | C2×D8 | 1 | 2 | yes | — |
| 138 | C2×Dic61 | C2×D8 | 1 | 2 | yes | — |
| 139 | D244 | — | 2 | 2 | no | — |
| 140 | D244 | — | 4 | 2 | no | — |
| 141 | D244 | — | 4 | 1 | no | — |
| 142 | D244 | — | 4 | 2 | no | — |
| 143 | D244 | — | 8 | 2 | no | — |
| 144 | D244 | — | 16 | 1 | no | — |
| 145 | C4×D61 | — | 8 | 2 | no | — |
| 146 | C4×D61 | — | 8 | 4 | no | — |
| 147 | C4×D61 | — | 8 | 4 | no | — |
| 148 | Dic122 | — | 8 | 4 | no | — |
| 149 | Dic122 | D16 | 1 | 4 | yes | complemented |
| 150 | C8×C61 | — | 2 | 1 | no | — |
| 151 | C8×C61 | C2×#41 | 1 | 1 | yes | characteristic |
| 152 | C8×C61 | 2−1+4 | 1 | 1 | yes | characteristic |
| 153 | #92418 | — | 2 | 2 | no | — |
| 154 | #33925 | — | 61 | 1 | no | maximal, Sylow |
| 155 | C22×C61 | — | 8 | 1 | no | — |
| 156 | C22×C61 | — | 8 | 1 | no | — |
| 157 | C22×C61 | — | 8 | 1 | no | — |
| 158 | C22×C61 | C22×D8 | 1 | 1 | yes | characteristic |
| 159 | C2×D61 | — | 4 | 2 | no | — |
| 160 | C2×D61 | — | 8 | 1 | no | — |
| 161 | C2×D61 | — | 8 | 1 | no | — |
| 162 | C2×D61 | — | 8 | 2 | no | — |
| 163 | C2×D61 | — | 8 | 2 | no | — |
| 164 | C2×D61 | — | 8 | 2 | no | — |
| 165 | C4×C61 | — | 2 | 1 | no | — |
| 166 | C4×C61 | — | 8 | 2 | no | — |
| 167 | C4×C61 | — | 8 | 1 | no | — |
| 168 | C4×C61 | C2×D16 | 1 | 2 | yes | — |
| 169 | C4×C61 | #548 | 1 | 1 | yes | characteristic |
| 170 | C4×C61 | #577 | 1 | 1 | yes | characteristic |
| 171 | Dic61 | — | 2 | 2 | no | — |
| 172 | Dic61 | — | 8 | 1 | no | — |
| 173 | Dic61 | C2×D16 | 1 | 4 | yes | — |
| 174 | #3391 | — | 61 | 1 | no | — |
| 175 | Q8×D8 | — | 61 | 1 | no | — |
| 176 | #2240 | — | 61 | 1 | no | — |
| 177 | #2240 | — | 61 | 2 | no | — |
| 178 | #2224 | — | 61 | 2 | no | — |
| 179 | #2224 | D61 | 1 | 1 | yes | characteristic, complemented |
| 180 | #2206 | — | 61 | 1 | no | — |
| 181 | #2206 | — | 61 | 2 | no | — |
| 182 | Q8×C16 | — | 61 | 1 | no | — |
| 183 | C4×D16 | — | 61 | 1 | no | — |
| 184 | C4×D16 | — | 61 | 2 | no | — |
| 185 | C2×C61 | — | 16 | 1 | no | — |
| 186 | C2×C61 | #3358 | 1 | 1 | yes | characteristic |
| 187 | C2×C61 | C22×D16 | 1 | 1 | yes | characteristic |
| 188 | C2×C61 | #3416 | 1 | 1 | yes | characteristic |
| 189 | D61 | — | 8 | 2 | no | — |
| 190 | D61 | — | 16 | 2 | no | — |
| 191 | #550 | — | 122 | 1 | no | — |
| 192 | D4×Q8 | — | 122 | 1 | no | — |
| 193 | C2×D16 | — | 61 | 1 | no | — |
| 194 | C2×D16 | — | 61 | 2 | no | — |
| 195 | #500 | — | 61 | 2 | no | — |
| 196 | #500 | C2×D61 | 1 | 1 | yes | characteristic |
| 197 | #493 | — | 61 | 2 | no | — |
| 198 | #493 | — | 61 | 1 | no | — |
| 199 | #474 | — | 122 | 2 | no | — |
| 200 | #474 | — | 122 | 1 | no | — |
| 201 | #459 | — | 122 | 2 | no | — |
| 202 | #459 | — | 122 | 1 | no | — |
| 203 | C8×Q8 | — | 61 | 1 | no | — |
| 204 | C4×D8 | — | 61 | 2 | no | — |
| 205 | C4×D8 | — | 61 | 2 | no | — |
| 206 | C4×D8 | — | 61 | 1 | no | — |
| 207 | C4×D8 | C2×D61 | 1 | 1 | yes | characteristic |
| 208 | #366 | — | 61 | 1 | no | — |
| 209 | #366 | C2×D61 | 1 | 2 | yes | — |
| 210 | C4⋊C16 | — | 61 | 2 | no | — |
| 211 | C4⋊C16 | C2×D61 | 1 | 1 | yes | characteristic |
| 212 | #357 | — | 61 | 1 | no | — |
| 213 | #357 | — | 61 | 2 | no | — |
| 214 | #357 | — | 61 | 1 | no | — |
| 215 | #357 | — | 61 | 2 | no | — |
| 216 | #357 | — | 61 | 2 | no | — |
| 217 | #357 | C2×D61 | 1 | 2 | yes | — |
| 218 | C4×C16 | — | 61 | 2 | no | — |
| 219 | C4×C16 | — | 61 | 1 | no | — |
| 220 | C61 | #33925 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 221 | C2×#41 | — | 244 | 1 | no | — |
| 222 | C22×Q8 | — | 244 | 1 | no | — |
| 223 | C2×D8 | — | 61 | 1 | no | — |
| 224 | C2×D8 | — | 61 | 2 | no | — |
| 225 | C2×D8 | — | 122 | 2 | no | — |
| 226 | C2×D8 | — | 122 | 1 | no | — |
| 227 | C2×D8 | C22×D61 | 1 | 1 | yes | characteristic |
| 228 | C4⋊Q8 | — | 2 | 1 | no | — |
| 229 | C4⋊Q8 | — | 122 | 2 | no | — |
| 230 | #127 | — | 122 | 2 | no | — |
| 231 | #127 | — | 122 | 1 | no | — |
| 232 | C22⋊Q8 | — | 244 | 2 | no | — |
| 233 | C22⋊Q8 | — | 244 | 1 | no | — |
| 234 | #121 | — | 244 | 2 | no | — |
| 235 | #121 | — | 244 | 1 | no | — |
| 236 | C4×Q8 | — | 61 | 1 | no | — |
| 237 | C4×D4 | — | 2 | 1 | no | — |
| 238 | C4×D4 | — | 122 | 2 | no | — |
| 239 | C4×D4 | — | 122 | 2 | no | — |
| 240 | C4×D4 | — | 122 | 1 | no | — |
| 241 | D16 | — | 122 | 4 | no | — |
| 242 | D16 | — | 122 | 2 | no | — |
| 243 | C2×C16 | — | 61 | 1 | no | — |
| 244 | C2×C16 | — | 61 | 1 | no | — |
| 245 | C2×C16 | C22×D61 | 1 | 2 | yes | — |
| 246 | #107 | — | 2 | 1 | no | — |
| 247 | #107 | — | 61 | 1 | no | — |
| 248 | #107 | — | 122 | 2 | no | — |
| 249 | #107 | C22×D61 | 1 | 2 | yes | — |
| 250 | #107 | C22×D61 | 1 | 1 | yes | characteristic |
| 251 | C4⋊C8 | — | 61 | 2 | no | — |
| 252 | C4⋊C8 | — | 61 | 1 | no | — |
| 253 | #102 | — | 2 | 1 | no | — |
| 254 | #102 | — | 122 | 2 | no | — |
| 255 | #102 | — | 122 | 2 | no | — |
| 256 | #102 | — | 122 | 1 | no | — |
| 257 | C4×C8 | — | 61 | 2 | no | — |
| 258 | C4×C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 259 | #41 | — | 488 | 4 | no | — |
| 260 | C2×Q8 | — | 4 | 1 | no | — |
| 261 | C2×Q8 | — | 61 | 1 | no | — |
| 262 | C2×Q8 | — | 488 | 4 | no | — |
| 263 | C2×Q8 | — | 244 | 2 | no | — |
| 264 | C2×D4 | — | 2 | 1 | no | — |
| 265 | C2×D4 | — | 122 | 1 | no | — |
| 266 | C2×D4 | — | 122 | 2 | no | — |
| 267 | C2×D4 | — | 244 | 2 | no | — |
| 268 | C2×D4 | — | 244 | 2 | no | — |
| 269 | C2×D4 | — | 244 | 1 | no | — |
| 270 | C2×D4 | — | 244 | 1 | no | — |
| 271 | C22×C4 | — | 4 | 1 | no | — |
| 272 | C22×C4 | — | 244 | 2 | no | — |
| 273 | C22×C4 | — | 244 | 2 | no | — |
| 274 | C22×C4 | — | 244 | 1 | no | — |
| 275 | D8 | — | 2 | 1 | no | — |
| 276 | D8 | — | 2 | 1 | no | — |
| 277 | D8 | — | 61 | 2 | no | — |
| 278 | D8 | — | 122 | 2 | no | — |
| 279 | D8 | — | 122 | 1 | no | — |
| 280 | D8 | — | 122 | 2 | no | — |
| 281 | D8 | — | 488 | 1 | no | — |
| 282 | D8 | — | 488 | 2 | no | — |
| 283 | C2×C8 | — | 61 | 2 | no | — |
| 284 | C2×C8 | D4×D61 | 1 | 1 | yes | characteristic |
| 285 | C2×C8 | C23×D61 | 1 | 1 | yes | characteristic |
| 286 | C4⋊C4 | — | 2 | 1 | no | — |
| 287 | C4⋊C4 | — | 2 | 2 | no | — |
| 288 | C4⋊C4 | — | 4 | 1 | no | — |
| 289 | C4⋊C4 | — | 61 | 2 | no | — |
| 290 | C4⋊C4 | — | 61 | 1 | no | — |
| 291 | C4⋊C4 | — | 122 | 1 | no | — |
| 292 | C4⋊C4 | — | 244 | 2 | no | — |
| 293 | C22⋊C4 | — | 4 | 1 | no | — |
| 294 | C22⋊C4 | — | 244 | 2 | no | — |
| 295 | C22⋊C4 | — | 244 | 2 | no | — |
| 296 | C22⋊C4 | — | 244 | 1 | no | — |
| 297 | C42 | — | 61 | 2 | no | — |
| 298 | C42 | D4×D61 | 1 | 1 | yes | characteristic |
| 299 | C16 | — | 2 | 2 | no | — |
| 300 | C16 | — | 122 | 1 | no | — |
| 301 | C16 | — | 122 | 1 | no | — |
| 302 | C23 | — | 4 | 1 | no | — |
| 303 | C23 | — | 244 | 2 | no | — |
| 304 | C23 | — | 244 | 1 | no | — |
| 305 | Q8 | — | 8 | 2 | no | — |
| 306 | Q8 | — | 61 | 4 | no | — |
| 307 | Q8 | — | 488 | 4 | no | — |
| 308 | D4 | — | 4 | 1 | no | — |
| 309 | D4 | — | 4 | 1 | no | — |
| 310 | D4 | — | 122 | 2 | no | — |
| 311 | D4 | — | 976 | 1 | no | — |
| 312 | D4 | — | 976 | 2 | no | — |
| 313 | D4 | — | 488 | 4 | no | — |
| 314 | D4 | — | 488 | 2 | no | — |
| 315 | D4 | — | 244 | 2 | no | — |
| 316 | D4 | — | 244 | 1 | no | — |
| 317 | D4 | — | 244 | 2 | no | — |
| 318 | C2×C4 | — | 4 | 1 | no | — |
| 319 | C2×C4 | — | 4 | 2 | no | — |
| 320 | C2×C4 | — | 8 | 2 | no | — |
| 321 | C2×C4 | — | 61 | 2 | no | — |
| 322 | C2×C4 | — | 61 | 2 | no | — |
| 323 | C2×C4 | — | 488 | 4 | no | — |
| 324 | C2×C4 | — | 488 | 4 | no | — |
| 325 | C2×C4 | — | 488 | 2 | no | — |
| 326 | C2×C4 | — | 244 | 1 | no | — |
| 327 | C2×C4 | D8×D61 | 1 | 1 | yes | characteristic |
| 328 | C2×C4 | D8×D61 | 1 | 1 | yes | characteristic |
| 329 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 330 | C8 | — | 2 | 1 | no | — |
| 331 | C8 | — | 122 | 2 | no | — |
| 332 | C8 | #41×D61 | 1 | 1 | yes | characteristic |
| 333 | C8 | #14519825 | 1 | 1 | yes | characteristic |
| 334 | C22 | — | 8 | 1 | no | — |
| 335 | C22 | — | 8 | 1 | no | — |
| 336 | C22 | — | 8 | 1 | no | — |
| 337 | C22 | — | 488 | 2 | no | — |
| 338 | C22 | — | 488 | 2 | no | — |
| 339 | C22 | — | 488 | 2 | no | — |
| 340 | C22 | — | 488 | 1 | no | — |
| 341 | C22 | — | 488 | 1 | no | — |
| 342 | C22 | — | 244 | 2 | no | — |
| 343 | C22 | C2×D8×D61 | 1 | 1 | yes | characteristic |
| 344 | C4 | — | 2 | 1 | no | — |
| 345 | C4 | — | 8 | 1 | no | — |
| 346 | C4 | — | 8 | 2 | no | — |
| 347 | C4 | — | 61 | 4 | no | — |
| 348 | C4 | — | 122 | 2 | no | — |
| 349 | C4 | — | 488 | 1 | no | — |
| 350 | C4 | D16×D61 | 1 | 2 | yes | — |
| 351 | C4 | #16840422 | 1 | 1 | yes | characteristic |
| 352 | C4 | #16840571 | 1 | 1 | yes | characteristic |
| 353 | C2 | — | 16 | 1 | no | — |
| 354 | C2 | — | 976 | 2 | no | — |
| 355 | C2 | — | 488 | 2 | no | — |
| 356 | C2 | #21458453 | 1 | 1 | yes | characteristic |
| 357 | C2 | C2×D16×D61 | 1 | 1 | yes | characteristic |
| 358 | C2 | #21458964 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta