| 1 | #21458852 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21458738 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21458234 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #21458114 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #21445496 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #21445401 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21445326 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #21445308 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #21445209 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #21445078 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #21445071 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #21445050 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #21444980 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #21444657 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C61×#1592 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #16840491 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16840485 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16840477 | C22 | 1 | 1 | yes | characteristic |
| 19 | D4×Dic122 | C22 | 1 | 1 | yes | characteristic |
| 20 | #16840169 | — | 2 | 1 | no | — |
| 21 | #16840167 | C22 | 1 | 1 | yes | characteristic |
| 22 | #16840167 | C22 | 1 | 1 | yes | characteristic |
| 23 | #16840160 | C22 | 1 | 1 | yes | characteristic |
| 24 | #16840156 | — | 2 | 1 | no | — |
| 25 | #16840142 | C22 | 1 | 1 | yes | characteristic |
| 26 | #16840113 | C22 | 1 | 1 | yes | characteristic |
| 27 | #16840113 | C22 | 1 | 1 | yes | characteristic |
| 28 | #16840104 | — | 2 | 1 | no | — |
| 29 | #16840101 | — | 2 | 1 | no | — |
| 30 | #16840085 | — | 2 | 1 | no | — |
| 31 | #16840060 | — | 2 | 1 | no | — |
| 32 | #16840058 | C22 | 1 | 1 | yes | characteristic |
| 33 | #16840057 | C22 | 1 | 1 | yes | characteristic |
| 34 | #16840055 | — | 2 | 1 | no | — |
| 35 | #16840047 | C22 | 1 | 1 | yes | characteristic |
| 36 | #16840042 | C22 | 1 | 1 | yes | characteristic |
| 37 | #16840042 | C22 | 1 | 1 | yes | characteristic |
| 38 | #16840008 | — | 2 | 1 | no | — |
| 39 | #16839988 | — | 2 | 1 | no | — |
| 40 | #16839985 | — | 2 | 1 | no | — |
| 41 | #16839973 | — | 2 | 1 | no | — |
| 42 | #16839973 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16839968 | C22 | 1 | 1 | yes | characteristic |
| 44 | #16839968 | C22 | 1 | 1 | yes | characteristic |
| 45 | #16839903 | — | 2 | 1 | no | — |
| 46 | #16839892 | C22 | 1 | 1 | yes | characteristic |
| 47 | #16839870 | — | 2 | 1 | no | — |
| 48 | #16839863 | — | 2 | 1 | no | — |
| 49 | C4×#11758190 | C22 | 1 | 1 | yes | characteristic |
| 50 | C8×D244 | C22 | 1 | 1 | yes | characteristic |
| 51 | #16839797 | — | 2 | 1 | no | — |
| 52 | #16839772 | — | 2 | 1 | no | — |
| 53 | #16839513 | C22 | 1 | 1 | yes | characteristic |
| 54 | #16839510 | C22 | 1 | 1 | yes | characteristic |
| 55 | #16839509 | C22 | 1 | 1 | yes | characteristic |
| 56 | #16839509 | C22 | 1 | 1 | yes | characteristic |
| 57 | #16839509 | C22 | 1 | 1 | yes | characteristic |
| 58 | #16839494 | C22 | 1 | 1 | yes | characteristic |
| 59 | #16839491 | C22 | 1 | 1 | yes | characteristic |
| 60 | C61×#446 | C22 | 1 | 1 | yes | characteristic |
| 61 | C4×SD16×C61 | C22 | 1 | 1 | yes | characteristic |
| 62 | C61×#436 | C22 | 1 | 1 | yes | characteristic |
| 63 | C61×#335 | C22 | 1 | 1 | yes | characteristic |
| 64 | C61×Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 65 | C61×D4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 66 | C61×#322 | C22 | 1 | 1 | yes | characteristic |
| 67 | C22×Dic122 | — | 2 | 1 | no | — |
| 68 | C2×Dic244 | — | 2 | 1 | no | — |
| 69 | C2×Dic244 | — | 2 | 1 | no | — |
| 70 | C2×Dic244 | — | 2 | 1 | no | — |
| 71 | C2×#11758190 | — | 2 | 1 | no | — |
| 72 | C2×#11758190 | — | 2 | 1 | no | — |
| 73 | C2×#11758190 | D4 | 1 | 1 | yes | characteristic |
| 74 | C2×C8×D61 | — | 2 | 1 | no | — |
| 75 | #14519777 | — | 2 | 1 | no | — |
| 76 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 77 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 78 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 79 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 80 | #14519776 | — | 2 | 1 | no | — |
| 81 | #14519772 | — | 4 | 1 | no | — |
| 82 | #14519768 | — | 2 | 1 | no | — |
| 83 | #14519768 | — | 4 | 1 | no | — |
| 84 | #14519765 | — | 2 | 1 | no | — |
| 85 | #14519763 | — | 4 | 1 | no | — |
| 86 | #14519756 | — | 2 | 1 | no | — |
| 87 | #14519754 | — | 4 | 1 | no | — |
| 88 | #14519753 | — | 2 | 1 | no | — |
| 89 | #14519751 | — | 2 | 1 | no | — |
| 90 | #14519748 | — | 2 | 1 | no | — |
| 91 | Q8×Dic61 | — | 2 | 1 | no | — |
| 92 | C4×Dic122 | — | 2 | 1 | no | — |
| 93 | C4×Dic122 | — | 2 | 1 | no | — |
| 94 | C4×Dic122 | C23 | 1 | 1 | yes | characteristic |
| 95 | C4×D244 | C23 | 1 | 1 | yes | characteristic |
| 96 | D4×Dic61 | — | 2 | 1 | no | — |
| 97 | #14519736 | — | 2 | 1 | no | — |
| 98 | #14519735 | — | 2 | 1 | no | — |
| 99 | #14519735 | — | 2 | 1 | no | — |
| 100 | #14519711 | — | 2 | 1 | no | — |
| 101 | #14519711 | — | 2 | 1 | no | — |
| 102 | #14519711 | — | 2 | 1 | no | — |
| 103 | #14519711 | — | 4 | 1 | no | — |
| 104 | #14519710 | — | 2 | 1 | no | — |
| 105 | #14519710 | — | 2 | 1 | no | — |
| 106 | #14519710 | — | 2 | 1 | no | — |
| 107 | #14519709 | — | 2 | 1 | no | — |
| 108 | #14519709 | — | 2 | 1 | no | — |
| 109 | #14519709 | D4 | 1 | 1 | yes | characteristic |
| 110 | #14519708 | — | 2 | 1 | no | — |
| 111 | C4⋊#92418 | C23 | 1 | 1 | yes | characteristic |
| 112 | C4⋊#92418 | C23 | 1 | 1 | yes | characteristic |
| 113 | #14519706 | — | 2 | 1 | no | — |
| 114 | #14519702 | — | 2 | 1 | no | — |
| 115 | #14519702 | — | 2 | 1 | no | — |
| 116 | #14519702 | — | 2 | 1 | no | — |
| 117 | #14519702 | — | 2 | 1 | no | — |
| 118 | #14519702 | — | 2 | 1 | no | — |
| 119 | #14519702 | — | 2 | 1 | no | — |
| 120 | #14519702 | — | 4 | 1 | no | — |
| 121 | #14519702 | D4 | 1 | 1 | yes | characteristic |
| 122 | #14519701 | — | 2 | 1 | no | — |
| 123 | #14519701 | — | 2 | 1 | no | — |
| 124 | #14519699 | D4 | 1 | 1 | yes | characteristic |
| 125 | #14519698 | — | 2 | 1 | no | — |
| 126 | #14519698 | — | 2 | 1 | no | — |
| 127 | #14519689 | — | 2 | 1 | no | — |
| 128 | #14519687 | — | 2 | 1 | no | — |
| 129 | C2×SD16×C61 | D4 | 1 | 1 | yes | characteristic |
| 130 | C2×M16×C61 | — | 2 | 1 | no | — |
| 131 | C4×Q8×C61 | C23 | 1 | 1 | yes | characteristic |
| 132 | C4×D4×C61 | C23 | 1 | 1 | yes | characteristic |
| 133 | #106×C61 | D4 | 1 | 1 | yes | characteristic |
| 134 | C4⋊C8×C61 | — | 2 | 1 | no | — |
| 135 | C4⋊C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 136 | C4⋊C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 137 | #103×C61 | D4 | 1 | 1 | yes | characteristic |
| 138 | #102×C61 | D4 | 1 | 1 | yes | characteristic |
| 139 | C22⋊C8×C61 | — | 2 | 1 | no | — |
| 140 | #97×C61 | — | 2 | 1 | no | — |
| 141 | C4×C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 142 | C4×C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 143 | C4×C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 144 | C2×Q8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 145 | C2×D4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 146 | C22×C4×C61 | — | 2 | 1 | no | — |
| 147 | C2×C22⋊D61 | — | 4 | 1 | no | — |
| 148 | C22×Dic61 | — | 4 | 1 | no | — |
| 149 | C2×D244 | C2×D4 | 1 | 1 | yes | characteristic |
| 150 | C2×C4×D61 | — | 2 | 1 | no | — |
| 151 | C2×Dic122 | — | 2 | 1 | no | — |
| 152 | C2×Dic122 | — | 2 | 1 | no | — |
| 153 | C2×Dic122 | — | 2 | 1 | no | — |
| 154 | C2×Dic122 | — | 2 | 1 | no | — |
| 155 | C2×Dic122 | — | 4 | 2 | no | — |
| 156 | C2×Dic122 | — | 4 | 1 | no | — |
| 157 | C2×Dic122 | — | 8 | 1 | no | — |
| 158 | C2×Dic122 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | SD16×C61 | — | 2 | 2 | no | — |
| 160 | M16×C61 | — | 8 | 1 | no | — |
| 161 | C2×C8×C61 | — | 2 | 1 | no | — |
| 162 | C2×C8×C61 | — | 2 | 1 | no | — |
| 163 | C2×C8×C61 | — | 2 | 1 | no | — |
| 164 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 166 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 169 | C4⋊C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C4⋊C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 171 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 172 | C42×C61 | — | 2 | 1 | no | — |
| 173 | C42×C61 | C24 | 1 | 1 | yes | characteristic |
| 174 | C22⋊Dic61 | — | 4 | 1 | no | — |
| 175 | C22⋊Dic61 | — | 4 | 1 | no | — |
| 176 | #11758198 | — | 2 | 1 | no | — |
| 177 | #11758198 | — | 4 | 1 | no | — |
| 178 | #11758198 | — | 4 | 1 | no | — |
| 179 | #11758198 | — | 4 | 1 | no | — |
| 180 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 181 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 182 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 183 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 184 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 185 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 186 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 187 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 188 | C4⋊Dic61 | — | 4 | 1 | no | — |
| 189 | C4⋊Dic61 | — | 4 | 1 | no | — |
| 190 | C4⋊Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C4⋊Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | #11758196 | — | 2 | 1 | no | — |
| 193 | #11758196 | — | 4 | 1 | no | — |
| 194 | #11758196 | — | 4 | 1 | no | — |
| 195 | #11758196 | — | 4 | 1 | no | — |
| 196 | C4×Dic61 | — | 2 | 1 | no | — |
| 197 | C4×Dic61 | — | 4 | 1 | no | — |
| 198 | C4×Dic61 | — | 4 | 1 | no | — |
| 199 | C4×Dic61 | — | 4 | 1 | no | — |
| 200 | C2×#92418 | — | 2 | 1 | no | — |
| 201 | C2×#92418 | — | 2 | 1 | no | — |
| 202 | Dic244 | — | 4 | 2 | no | — |
| 203 | Dic244 | — | 8 | 1 | no | — |
| 204 | Dic244 | — | 8 | 1 | no | — |
| 205 | #11758190 | — | 4 | 1 | no | — |
| 206 | #11758190 | — | 8 | 1 | no | — |
| 207 | #11758190 | — | 8 | 1 | no | — |
| 208 | C8×D61 | — | 4 | 2 | no | — |
| 209 | C23×C61 | — | 2 | 1 | no | — |
| 210 | C22×D61 | — | 2 | 1 | no | — |
| 211 | Q8×C61 | — | 2 | 1 | no | — |
| 212 | Q8×C61 | — | 2 | 1 | no | — |
| 213 | D4×C61 | — | 2 | 1 | no | — |
| 214 | D4×C61 | — | 2 | 1 | no | — |
| 215 | C2×C4×C61 | — | 2 | 1 | no | — |
| 216 | C2×C4×C61 | — | 2 | 1 | no | — |
| 217 | C2×C4×C61 | — | 2 | 1 | no | — |
| 218 | C2×C4×C61 | — | 4 | 1 | no | — |
| 219 | C2×C4×C61 | — | 4 | 1 | no | — |
| 220 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 221 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 222 | C2×C4×C61 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 223 | C22⋊D61 | — | 16 | 1 | no | — |
| 224 | C2×Dic61 | — | 2 | 1 | no | — |
| 225 | C2×Dic61 | — | 2 | 1 | no | — |
| 226 | C2×Dic61 | — | 2 | 1 | no | — |
| 227 | C2×Dic61 | — | 4 | 1 | no | — |
| 228 | C2×Dic61 | — | 4 | 1 | no | — |
| 229 | C2×Dic61 | — | 4 | 1 | no | — |
| 230 | C2×Dic61 | — | 4 | 1 | no | — |
| 231 | C2×Dic61 | — | 8 | 2 | no | — |
| 232 | D244 | — | 2 | 1 | no | — |
| 233 | D244 | — | 2 | 1 | no | — |
| 234 | C4×D61 | — | 4 | 1 | no | — |
| 235 | C4×D61 | — | 4 | 1 | no | — |
| 236 | Dic122 | — | 2 | 1 | no | — |
| 237 | Dic122 | — | 2 | 1 | no | — |
| 238 | Dic122 | — | 4 | 1 | no | — |
| 239 | Dic122 | — | 4 | 1 | no | — |
| 240 | Dic122 | — | 4 | 1 | no | — |
| 241 | Dic122 | — | 4 | 1 | no | — |
| 242 | Dic122 | — | 4 | 1 | no | — |
| 243 | Dic122 | — | 4 | 1 | no | — |
| 244 | Dic122 | — | 8 | 2 | no | — |
| 245 | Dic122 | — | 8 | 1 | no | — |
| 246 | C8×C61 | — | 2 | 1 | no | — |
| 247 | C8×C61 | — | 2 | 1 | no | — |
| 248 | C8×C61 | — | 2 | 1 | no | — |
| 249 | C8×C61 | — | 4 | 1 | no | — |
| 250 | C8×C61 | — | 4 | 1 | no | — |
| 251 | C8×C61 | — | 4 | 1 | no | — |
| 252 | C8×C61 | #137 | 1 | 2 | yes | — |
| 253 | #92418 | — | 4 | 1 | no | — |
| 254 | #92418 | — | 4 | 1 | no | — |
| 255 | #20261 | — | 61 | 1 | no | maximal, Sylow |
| 256 | C22×C61 | — | 4 | 1 | no | — |
| 257 | C22×C61 | — | 4 | 1 | no | — |
| 258 | C22×C61 | — | 4 | 1 | no | — |
| 259 | C22×C61 | D42 | 1 | 1 | yes | characteristic |
| 260 | C2×D61 | — | 4 | 1 | no | — |
| 261 | C2×D61 | — | 4 | 1 | no | — |
| 262 | C2×D61 | — | 4 | 1 | no | — |
| 263 | C4×C61 | — | 2 | 1 | no | — |
| 264 | C4×C61 | — | 4 | 1 | no | — |
| 265 | C4×C61 | — | 4 | 1 | no | — |
| 266 | C4×C61 | — | 4 | 1 | no | — |
| 267 | C4×C61 | C2×#137 | 1 | 1 | yes | characteristic |
| 268 | C4×C61 | #575 | 1 | 1 | yes | characteristic |
| 269 | C4×C61 | #576 | 1 | 1 | yes | characteristic |
| 270 | C4×C61 | #578 | 1 | 1 | yes | characteristic |
| 271 | Dic61 | — | 4 | 1 | no | — |
| 272 | Dic61 | — | 4 | 1 | no | — |
| 273 | Dic61 | — | 4 | 1 | no | — |
| 274 | Dic61 | — | 8 | 1 | no | — |
| 275 | Dic61 | — | 8 | 1 | no | — |
| 276 | Dic61 | — | 8 | 1 | no | — |
| 277 | Dic61 | — | 8 | 1 | no | — |
| 278 | #3398 | — | 61 | 1 | no | — |
| 279 | #3386 | — | 61 | 1 | no | — |
| 280 | #3340 | — | 61 | 1 | no | — |
| 281 | #3329 | — | 61 | 1 | no | — |
| 282 | #1723 | — | 61 | 1 | no | — |
| 283 | #1704 | — | 61 | 1 | no | — |
| 284 | #1692 | — | 61 | 1 | no | — |
| 285 | #1689 | — | 61 | 1 | no | — |
| 286 | #1673 | — | 61 | 1 | no | — |
| 287 | #1650 | — | 61 | 1 | no | — |
| 288 | #1649 | — | 61 | 1 | no | — |
| 289 | #1646 | — | 61 | 1 | no | — |
| 290 | #1636 | — | 61 | 1 | no | — |
| 291 | #1592 | D61 | 1 | 1 | yes | characteristic, complemented |
| 292 | #1582 | — | 61 | 1 | no | — |
| 293 | C2×C61 | — | 8 | 1 | no | — |
| 294 | C2×C61 | #3268 | 1 | 1 | yes | characteristic |
| 295 | C2×C61 | #3276 | 1 | 1 | yes | characteristic |
| 296 | C2×C61 | #3289 | 1 | 1 | yes | characteristic |
| 297 | D61 | — | 8 | 1 | no | — |
| 298 | #557 | — | 61 | 1 | no | — |
| 299 | #556 | — | 61 | 1 | no | — |
| 300 | #555 | — | 61 | 1 | no | — |
| 301 | D4×Q8 | — | 61 | 1 | no | — |
| 302 | #501 | — | 122 | 1 | no | — |
| 303 | #500 | — | 61 | 1 | no | — |
| 304 | #500 | — | 61 | 1 | no | — |
| 305 | #498 | — | 61 | 1 | no | — |
| 306 | #497 | — | 122 | 1 | no | — |
| 307 | #494 | — | 61 | 1 | no | — |
| 308 | #487 | — | 61 | 1 | no | — |
| 309 | #487 | — | 61 | 1 | no | — |
| 310 | #485 | — | 122 | 1 | no | — |
| 311 | #485 | — | 122 | 1 | no | — |
| 312 | #482 | — | 122 | 1 | no | — |
| 313 | #478 | — | 122 | 1 | no | — |
| 314 | #477 | — | 61 | 1 | no | — |
| 315 | #477 | — | 61 | 1 | no | — |
| 316 | #477 | — | 122 | 1 | no | — |
| 317 | #475 | — | 61 | 1 | no | — |
| 318 | #474 | — | 61 | 1 | no | — |
| 319 | #474 | — | 61 | 1 | no | — |
| 320 | #468 | — | 122 | 1 | no | — |
| 321 | #465 | — | 122 | 1 | no | — |
| 322 | #464 | — | 122 | 1 | no | — |
| 323 | #462 | — | 61 | 1 | no | — |
| 324 | #462 | — | 122 | 1 | no | — |
| 325 | #461 | — | 61 | 1 | no | — |
| 326 | #461 | — | 61 | 1 | no | — |
| 327 | #448 | — | 122 | 1 | no | — |
| 328 | #446 | — | 61 | 1 | no | — |
| 329 | #446 | C2×D61 | 1 | 1 | yes | characteristic |
| 330 | #441 | — | 122 | 1 | no | — |
| 331 | #440 | — | 122 | 1 | no | — |
| 332 | C4×SD16 | — | 61 | 1 | no | — |
| 333 | C4×SD16 | C2×D61 | 1 | 1 | yes | characteristic |
| 334 | #436 | C2×D61 | 1 | 1 | yes | characteristic |
| 335 | C8×D4 | — | 61 | 1 | no | — |
| 336 | #427 | — | 122 | 1 | no | — |
| 337 | #419 | — | 122 | 1 | no | — |
| 338 | #335 | C2×D61 | 1 | 1 | yes | characteristic |
| 339 | #334 | — | 61 | 1 | no | — |
| 340 | #333 | — | 61 | 1 | no | — |
| 341 | #332 | — | 61 | 1 | no | — |
| 342 | #332 | — | 61 | 1 | no | — |
| 343 | #332 | — | 61 | 1 | no | — |
| 344 | Q8⋊C8 | — | 61 | 1 | no | — |
| 345 | Q8⋊C8 | C2×D61 | 1 | 1 | yes | characteristic |
| 346 | D4⋊C8 | — | 61 | 1 | no | — |
| 347 | D4⋊C8 | C2×D61 | 1 | 1 | yes | characteristic |
| 348 | #322 | C2×D61 | 1 | 1 | yes | characteristic |
| 349 | C61 | #20261 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 350 | C22×Q8 | — | 122 | 1 | no | — |
| 351 | C2×Q16 | — | 122 | 1 | no | — |
| 352 | C2×Q16 | — | 122 | 1 | no | — |
| 353 | C2×Q16 | — | 122 | 1 | no | — |
| 354 | C2×SD16 | — | 61 | 1 | no | — |
| 355 | C2×SD16 | — | 122 | 1 | no | — |
| 356 | C2×SD16 | — | 122 | 1 | no | — |
| 357 | C2×SD16 | D244 | 1 | 1 | yes | characteristic |
| 358 | C2×M16 | — | 2 | 1 | no | — |
| 359 | C22×C8 | — | 122 | 1 | no | — |
| 360 | C4⋊Q8 | — | 61 | 1 | no | — |
| 361 | C4⋊Q8 | — | 61 | 1 | no | — |
| 362 | C4⋊Q8 | — | 61 | 1 | no | — |
| 363 | C4⋊Q8 | — | 61 | 1 | no | — |
| 364 | C4⋊Q8 | — | 122 | 1 | no | — |
| 365 | C4⋊Q8 | — | 122 | 1 | no | — |
| 366 | #126 | — | 244 | 1 | no | — |
| 367 | #125 | — | 122 | 1 | no | — |
| 368 | #125 | — | 244 | 1 | no | — |
| 369 | #124 | — | 122 | 1 | no | — |
| 370 | #124 | — | 244 | 1 | no | — |
| 371 | C22⋊Q8 | — | 122 | 1 | no | — |
| 372 | C22⋊Q8 | — | 122 | 1 | no | — |
| 373 | C22⋊Q8 | — | 244 | 1 | no | — |
| 374 | #121 | — | 122 | 1 | no | — |
| 375 | #121 | — | 122 | 1 | no | — |
| 376 | C4×Q8 | — | 61 | 1 | no | — |
| 377 | C4×Q8 | — | 122 | 1 | no | — |
| 378 | C4×Q8 | — | 122 | 1 | no | — |
| 379 | C4×Q8 | — | 122 | 1 | no | — |
| 380 | C4×Q8 | C22×D61 | 1 | 1 | yes | characteristic |
| 381 | C4×D4 | — | 61 | 1 | no | — |
| 382 | C4×D4 | — | 122 | 1 | no | — |
| 383 | C4×D4 | C22×D61 | 1 | 1 | yes | characteristic |
| 384 | #117 | — | 122 | 1 | no | — |
| 385 | #117 | — | 122 | 1 | no | — |
| 386 | #117 | — | 122 | 1 | no | — |
| 387 | #107 | — | 122 | 1 | no | — |
| 388 | #107 | — | 122 | 1 | no | — |
| 389 | #107 | — | 122 | 1 | no | — |
| 390 | #107 | — | 122 | 1 | no | — |
| 391 | #107 | — | 122 | 1 | no | — |
| 392 | #107 | — | 122 | 1 | no | — |
| 393 | #107 | — | 244 | 1 | no | — |
| 394 | #106 | — | 61 | 1 | no | — |
| 395 | #106 | — | 122 | 1 | no | — |
| 396 | #106 | — | 122 | 1 | no | — |
| 397 | #106 | — | 122 | 1 | no | — |
| 398 | #106 | D244 | 1 | 1 | yes | characteristic |
| 399 | C4⋊C8 | — | 2 | 1 | no | — |
| 400 | C4⋊C8 | — | 61 | 1 | no | — |
| 401 | C4⋊C8 | — | 61 | 1 | no | — |
| 402 | C4⋊C8 | — | 122 | 1 | no | — |
| 403 | C4⋊C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 404 | C4⋊C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 405 | #103 | — | 61 | 1 | no | — |
| 406 | #103 | — | 122 | 1 | no | — |
| 407 | #103 | — | 122 | 1 | no | — |
| 408 | #103 | — | 122 | 1 | no | — |
| 409 | #103 | — | 122 | 1 | no | — |
| 410 | #103 | — | 122 | 1 | no | — |
| 411 | #103 | — | 122 | 1 | no | — |
| 412 | #103 | — | 122 | 1 | no | — |
| 413 | #103 | — | 122 | 1 | no | — |
| 414 | #103 | — | 244 | 1 | no | — |
| 415 | #103 | D244 | 1 | 1 | yes | characteristic |
| 416 | #102 | — | 61 | 1 | no | — |
| 417 | #102 | — | 122 | 1 | no | — |
| 418 | #102 | — | 122 | 1 | no | — |
| 419 | #102 | D244 | 1 | 1 | yes | characteristic |
| 420 | C22⋊C8 | — | 2 | 1 | no | — |
| 421 | C22⋊C8 | — | 122 | 1 | no | — |
| 422 | #97 | — | 2 | 1 | no | — |
| 423 | #97 | — | 122 | 1 | no | — |
| 424 | C4×C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 425 | C4×C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 426 | C4×C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 427 | C2×Q8 | — | 61 | 1 | no | — |
| 428 | C2×Q8 | — | 122 | 1 | no | — |
| 429 | C2×Q8 | — | 122 | 1 | no | — |
| 430 | C2×Q8 | — | 122 | 1 | no | — |
| 431 | C2×Q8 | — | 122 | 1 | no | — |
| 432 | C2×Q8 | — | 488 | 1 | no | — |
| 433 | C2×Q8 | — | 244 | 1 | no | — |
| 434 | C2×Q8 | — | 244 | 2 | no | — |
| 435 | C2×Q8 | C2×D244 | 1 | 1 | yes | characteristic |
| 436 | C2×D4 | — | 61 | 1 | no | — |
| 437 | C2×D4 | — | 244 | 1 | no | — |
| 438 | C2×D4 | C2×D244 | 1 | 1 | yes | characteristic |
| 439 | C22×C4 | — | 2 | 1 | no | — |
| 440 | C22×C4 | — | 122 | 1 | no | — |
| 441 | C22×C4 | — | 244 | 1 | no | — |
| 442 | Q16 | — | 488 | 1 | no | — |
| 443 | Q16 | — | 488 | 1 | no | — |
| 444 | Q16 | — | 244 | 2 | no | — |
| 445 | SD16 | — | 2 | 2 | no | — |
| 446 | SD16 | — | 488 | 1 | no | — |
| 447 | SD16 | — | 488 | 1 | no | — |
| 448 | SD16 | — | 244 | 1 | no | — |
| 449 | M16 | — | 8 | 1 | no | — |
| 450 | C2×C8 | — | 2 | 1 | no | — |
| 451 | C2×C8 | — | 2 | 1 | no | — |
| 452 | C2×C8 | — | 2 | 1 | no | — |
| 453 | C2×C8 | — | 122 | 1 | no | — |
| 454 | C2×C8 | — | 122 | 1 | no | — |
| 455 | C2×C8 | — | 244 | 2 | no | — |
| 456 | C2×C8 | C2×D244 | 1 | 1 | yes | characteristic |
| 457 | C2×C8 | C2×D244 | 1 | 1 | yes | characteristic |
| 458 | C2×C8 | D4×D61 | 1 | 1 | yes | characteristic |
| 459 | C2×C8 | D4×D61 | 1 | 1 | yes | characteristic |
| 460 | C4⋊C4 | — | 2 | 1 | no | — |
| 461 | C4⋊C4 | — | 61 | 1 | no | — |
| 462 | C4⋊C4 | — | 61 | 1 | no | — |
| 463 | C4⋊C4 | — | 122 | 1 | no | — |
| 464 | C4⋊C4 | — | 122 | 1 | no | — |
| 465 | C4⋊C4 | — | 122 | 1 | no | — |
| 466 | C4⋊C4 | — | 122 | 1 | no | — |
| 467 | C4⋊C4 | — | 122 | 1 | no | — |
| 468 | C4⋊C4 | — | 122 | 1 | no | — |
| 469 | C4⋊C4 | — | 122 | 1 | no | — |
| 470 | C4⋊C4 | — | 122 | 1 | no | — |
| 471 | C4⋊C4 | — | 122 | 1 | no | — |
| 472 | C4⋊C4 | — | 244 | 1 | no | — |
| 473 | C4⋊C4 | — | 244 | 1 | no | — |
| 474 | C4⋊C4 | — | 244 | 1 | no | — |
| 475 | C4⋊C4 | — | 244 | 1 | no | — |
| 476 | C4⋊C4 | — | 244 | 1 | no | — |
| 477 | C4⋊C4 | C2×D244 | 1 | 1 | yes | characteristic |
| 478 | C4⋊C4 | C2×D244 | 1 | 1 | yes | characteristic |
| 479 | C22⋊C4 | — | 2 | 1 | no | — |
| 480 | C22⋊C4 | — | 122 | 1 | no | — |
| 481 | C22⋊C4 | — | 244 | 1 | no | — |
| 482 | C22⋊C4 | — | 244 | 1 | no | — |
| 483 | C22⋊C4 | — | 244 | 1 | no | — |
| 484 | C22⋊C4 | — | 244 | 1 | no | — |
| 485 | C22⋊C4 | — | 244 | 1 | no | — |
| 486 | C42 | — | 2 | 1 | no | — |
| 487 | C42 | — | 122 | 1 | no | — |
| 488 | C42 | — | 244 | 1 | no | — |
| 489 | C42 | — | 244 | 1 | no | — |
| 490 | C42 | — | 244 | 1 | no | — |
| 491 | C42 | C23×D61 | 1 | 1 | yes | characteristic |
| 492 | C23 | — | 2 | 1 | no | — |
| 493 | C23 | — | 122 | 1 | no | — |
| 494 | Q8 | — | 2 | 1 | no | — |
| 495 | Q8 | — | 2 | 1 | no | — |
| 496 | Q8 | — | 122 | 1 | no | — |
| 497 | Q8 | — | 122 | 1 | no | — |
| 498 | Q8 | — | 488 | 1 | no | — |
| 499 | Q8 | — | 488 | 2 | no | — |
| 500 | Q8 | — | 244 | 1 | no | — |
| 501 | Q8 | — | 244 | 1 | no | — |
| 502 | Q8 | — | 244 | 1 | no | — |
| 503 | Q8 | — | 244 | 1 | no | — |
| 504 | Q8 | — | 244 | 1 | no | — |
| 505 | Q8 | — | 244 | 1 | no | — |
| 506 | D4 | — | 2 | 1 | no | — |
| 507 | D4 | — | 2 | 1 | no | — |
| 508 | D4 | — | 122 | 1 | no | — |
| 509 | D4 | — | 122 | 1 | no | — |
| 510 | D4 | — | 976 | 1 | no | — |
| 511 | C2×C4 | — | 2 | 1 | no | — |
| 512 | C2×C4 | — | 2 | 1 | no | — |
| 513 | C2×C4 | — | 2 | 1 | no | — |
| 514 | C2×C4 | — | 4 | 1 | no | — |
| 515 | C2×C4 | — | 4 | 1 | no | — |
| 516 | C2×C4 | — | 122 | 1 | no | — |
| 517 | C2×C4 | — | 122 | 1 | no | — |
| 518 | C2×C4 | — | 122 | 1 | no | — |
| 519 | C2×C4 | — | 488 | 2 | no | — |
| 520 | C2×C4 | — | 244 | 1 | no | — |
| 521 | C2×C4 | — | 244 | 1 | no | — |
| 522 | C2×C4 | — | 244 | 1 | no | — |
| 523 | C2×C4 | — | 244 | 1 | no | — |
| 524 | C2×C4 | — | 244 | 1 | no | — |
| 525 | C2×C4 | — | 244 | 1 | no | — |
| 526 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 527 | C2×C4 | C22×D244 | 1 | 1 | yes | characteristic |
| 528 | C2×C4 | #14519823 | 1 | 1 | yes | characteristic |
| 529 | C8 | — | 2 | 1 | no | — |
| 530 | C8 | — | 2 | 1 | no | — |
| 531 | C8 | — | 2 | 1 | no | — |
| 532 | C8 | — | 4 | 1 | no | — |
| 533 | C8 | — | 4 | 1 | no | — |
| 534 | C8 | — | 4 | 1 | no | — |
| 535 | C8 | — | 244 | 1 | no | — |
| 536 | C8 | — | 244 | 1 | no | — |
| 537 | C8 | #14519810 | 1 | 2 | yes | — |
| 538 | C22 | — | 4 | 1 | no | — |
| 539 | C22 | — | 4 | 1 | no | — |
| 540 | C22 | — | 4 | 1 | no | — |
| 541 | C22 | — | 244 | 1 | no | — |
| 542 | C22 | — | 244 | 1 | no | — |
| 543 | C22 | — | 244 | 1 | no | — |
| 544 | C22 | D4×D244 | 1 | 1 | yes | characteristic |
| 545 | C4 | — | 2 | 1 | no | — |
| 546 | C4 | — | 4 | 1 | no | — |
| 547 | C4 | — | 4 | 1 | no | — |
| 548 | C4 | — | 4 | 1 | no | — |
| 549 | C4 | — | 488 | 1 | no | — |
| 550 | C4 | — | 488 | 1 | no | — |
| 551 | C4 | — | 488 | 1 | no | — |
| 552 | C4 | — | 488 | 1 | no | — |
| 553 | C4 | — | 244 | 1 | no | — |
| 554 | C4 | — | 244 | 1 | no | — |
| 555 | C4 | — | 244 | 1 | no | — |
| 556 | C4 | C2×#14519810 | 1 | 1 | yes | characteristic |
| 557 | C4 | #16840561 | 1 | 1 | yes | characteristic |
| 558 | C4 | #16840566 | 1 | 1 | yes | characteristic |
| 559 | C4 | #16840579 | 1 | 1 | yes | characteristic |
| 560 | C2 | — | 8 | 1 | no | — |
| 561 | C2 | — | 488 | 1 | no | — |
| 562 | C2 | #21457361 | 1 | 1 | yes | characteristic |
| 563 | C2 | #21457467 | 1 | 1 | yes | characteristic |
| 564 | C2 | #21457595 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta