| 1 | C7×#3394 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11741155 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11741107 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11737125 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11729699 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11729688 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729021 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11729011 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728820 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11728807 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11728772 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #11728762 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11728700 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11728691 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11728650 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C7×#559 | C22 | 1 | 1 | yes | characteristic |
| 17 | C7×#556 | C22 | 1 | 1 | yes | characteristic |
| 18 | #90275 | C22 | 1 | 1 | yes | characteristic |
| 19 | #90246 | C22 | 1 | 1 | yes | characteristic |
| 20 | C7×#495 | — | 2 | 1 | no | — |
| 21 | C7×#492 | C22 | 1 | 1 | yes | characteristic |
| 22 | C7×#464 | — | 2 | 1 | no | — |
| 23 | C7×#463 | — | 2 | 1 | no | — |
| 24 | C7×#462 | C22 | 1 | 1 | yes | characteristic |
| 25 | C7×#459 | C22 | 1 | 1 | yes | characteristic |
| 26 | C7×C8×Q8 | C22 | 1 | 1 | yes | characteristic |
| 27 | C4×C7×SD16 | — | 2 | 1 | no | — |
| 28 | C4×C7×SD16 | C22 | 1 | 1 | yes | characteristic |
| 29 | #89945 | — | 2 | 1 | no | — |
| 30 | #89859 | C22 | 1 | 1 | yes | characteristic |
| 31 | #89851 | C22 | 1 | 1 | yes | characteristic |
| 32 | #89850 | C22 | 1 | 1 | yes | characteristic |
| 33 | #89848 | C22 | 1 | 1 | yes | characteristic |
| 34 | #89844 | C22 | 1 | 1 | yes | characteristic |
| 35 | #89842 | C22 | 1 | 1 | yes | characteristic |
| 36 | #89831 | — | 2 | 1 | no | — |
| 37 | #89826 | — | 2 | 1 | no | — |
| 38 | #89821 | — | 2 | 1 | no | — |
| 39 | #89816 | — | 2 | 1 | no | — |
| 40 | #89803 | C22 | 1 | 1 | yes | characteristic |
| 41 | #89803 | C22 | 1 | 1 | yes | characteristic |
| 42 | C4×#1143 | C22 | 1 | 1 | yes | characteristic |
| 43 | Q8×C7⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 44 | #89792 | C22 | 1 | 1 | yes | characteristic |
| 45 | C4×#1142 | — | 2 | 1 | no | — |
| 46 | #89788 | — | 2 | 1 | no | — |
| 47 | #89784 | C22 | 1 | 1 | yes | characteristic |
| 48 | #89779 | C22 | 1 | 1 | yes | characteristic |
| 49 | #89775 | — | 2 | 1 | no | — |
| 50 | #89767 | — | 2 | 1 | no | — |
| 51 | #89639 | — | 2 | 1 | no | — |
| 52 | #89585 | — | 2 | 1 | no | — |
| 53 | #89544 | — | 2 | 1 | no | — |
| 54 | C8×D28 | C22 | 1 | 1 | yes | characteristic |
| 55 | #89453 | C22 | 1 | 1 | yes | characteristic |
| 56 | #89342 | C22 | 1 | 1 | yes | characteristic |
| 57 | #89339 | C22 | 1 | 1 | yes | characteristic |
| 58 | Q8⋊(C7⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 59 | Q8⋊(C7⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 60 | D4⋊(C7⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 61 | #89281 | C22 | 1 | 1 | yes | characteristic |
| 62 | #89278 | C22 | 1 | 1 | yes | characteristic |
| 63 | #89277 | C22 | 1 | 1 | yes | characteristic |
| 64 | #89274 | C22 | 1 | 1 | yes | characteristic |
| 65 | #89252 | C22 | 1 | 1 | yes | characteristic |
| 66 | #89249 | C22 | 1 | 1 | yes | characteristic |
| 67 | #19879 | — | 7 | 1 | no | maximal, Sylow |
| 68 | C2×#1159 | — | 2 | 1 | no | — |
| 69 | C2×C7×Q16 | — | 2 | 1 | no | — |
| 70 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 71 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 72 | C2×C7×SD16 | D4 | 1 | 1 | yes | characteristic |
| 73 | C2×C7×D8 | — | 2 | 1 | no | — |
| 74 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 75 | C7×#127 | C23 | 1 | 1 | yes | characteristic |
| 76 | C7×#126 | — | 4 | 1 | no | — |
| 77 | C7×#124 | — | 2 | 1 | no | — |
| 78 | C7×#124 | — | 2 | 1 | no | — |
| 79 | C7×#124 | — | 2 | 1 | no | — |
| 80 | C7×#123 | — | 4 | 1 | no | — |
| 81 | C7×C22⋊Q8 | — | 2 | 1 | no | — |
| 82 | C4×C7×Q8 | — | 2 | 1 | no | — |
| 83 | C4×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 84 | C4×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 85 | C4×C7×D4 | — | 2 | 1 | no | — |
| 86 | C4×C7×D4 | — | 2 | 1 | no | — |
| 87 | C4×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 88 | C7×#117 | — | 2 | 1 | no | — |
| 89 | #6509 | — | 2 | 1 | no | — |
| 90 | C2×#1144 | — | 2 | 1 | no | — |
| 91 | C2×#1144 | — | 2 | 1 | no | — |
| 92 | C2×#1143 | D4 | 1 | 1 | yes | characteristic |
| 93 | C2×#1142 | — | 2 | 1 | no | — |
| 94 | C2×#1142 | — | 2 | 1 | no | — |
| 95 | C2×#1141 | — | 2 | 1 | no | — |
| 96 | #6493 | — | 2 | 1 | no | — |
| 97 | C2×C4⋊Dic7 | — | 2 | 1 | no | — |
| 98 | C2×#1136 | — | 2 | 1 | no | — |
| 99 | C2×C8×D7 | — | 2 | 1 | no | — |
| 100 | #6461 | — | 4 | 1 | no | — |
| 101 | #6460 | — | 2 | 1 | no | — |
| 102 | #6455 | — | 2 | 1 | no | — |
| 103 | #6449 | — | 4 | 1 | no | — |
| 104 | #6438 | — | 2 | 1 | no | — |
| 105 | C4×D28 | C23 | 1 | 1 | yes | characteristic |
| 106 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 107 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 108 | C4×Dic14 | — | 2 | 1 | no | — |
| 109 | C7×#106 | D4 | 1 | 1 | yes | characteristic |
| 110 | C7×C4⋊C8 | — | 2 | 1 | no | — |
| 111 | C7×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 112 | C7×#103 | — | 2 | 1 | no | — |
| 113 | C7×#103 | D4 | 1 | 1 | yes | characteristic |
| 114 | C7×#102 | — | 2 | 1 | no | — |
| 115 | C7×#102 | D4 | 1 | 1 | yes | characteristic |
| 116 | C4×C7×C8 | — | 2 | 1 | no | — |
| 117 | C4×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 118 | #6409 | — | 2 | 1 | no | — |
| 119 | #6409 | D4 | 1 | 1 | yes | characteristic |
| 120 | #6406 | — | 2 | 1 | no | — |
| 121 | #6406 | — | 2 | 1 | no | — |
| 122 | #6406 | — | 4 | 1 | no | — |
| 123 | C22⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 124 | (C2×D7)⋊C8 | — | 2 | 1 | no | — |
| 125 | #6390 | — | 2 | 1 | no | — |
| 126 | #6390 | — | 2 | 1 | no | — |
| 127 | #6384 | — | 2 | 1 | no | — |
| 128 | #6384 | — | 2 | 1 | no | — |
| 129 | #6383 | — | 2 | 1 | no | — |
| 130 | #6383 | D4 | 1 | 1 | yes | characteristic |
| 131 | #6382 | — | 2 | 1 | no | — |
| 132 | #6382 | — | 4 | 1 | no | — |
| 133 | #6382 | D4 | 1 | 1 | yes | characteristic |
| 134 | #6381 | — | 2 | 1 | no | — |
| 135 | #6381 | — | 2 | 1 | no | — |
| 136 | #6381 | — | 2 | 1 | no | — |
| 137 | #6381 | — | 2 | 1 | no | — |
| 138 | C4⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 139 | C4⋊(C7⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 140 | C4⋊(C7⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 141 | C4⋊(C7⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 142 | C4×C7⋊C8 | — | 2 | 1 | no | — |
| 143 | C4×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 144 | C4×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 145 | #3394 | — | 7 | 1 | no | — |
| 146 | #3394 | D7 | 1 | 1 | yes | characteristic, complemented |
| 147 | #3353 | — | 7 | 1 | no | — |
| 148 | #3302 | — | 7 | 1 | no | — |
| 149 | #1714 | — | 7 | 1 | no | — |
| 150 | #1685 | — | 7 | 1 | no | — |
| 151 | #1680 | — | 7 | 1 | no | — |
| 152 | #1674 | — | 7 | 1 | no | — |
| 153 | #1665 | — | 7 | 1 | no | — |
| 154 | #1652 | — | 7 | 1 | no | — |
| 155 | #1652 | — | 7 | 1 | no | — |
| 156 | #1640 | — | 7 | 1 | no | — |
| 157 | #1625 | — | 7 | 1 | no | — |
| 158 | #1583 | — | 7 | 1 | no | — |
| 159 | SD16⋊C8 | — | 7 | 1 | no | — |
| 160 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 161 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C2×C7×D4 | — | 2 | 1 | no | — |
| 164 | C2×C7×D4 | — | 2 | 1 | no | — |
| 165 | C2×C7×D4 | — | 2 | 1 | no | — |
| 166 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | C22×C4×C7 | — | 2 | 1 | no | — |
| 168 | C22×C4×C7 | — | 4 | 1 | no | — |
| 169 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 170 | C22×Dic7 | — | 4 | 1 | no | — |
| 171 | #1159 | — | 4 | 2 | no | — |
| 172 | #1159 | — | 8 | 1 | no | — |
| 173 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C2×C4×D7 | — | 2 | 1 | no | — |
| 175 | C2×Dic14 | — | 2 | 1 | no | — |
| 176 | C2×Dic14 | — | 2 | 1 | no | — |
| 177 | C7×Q16 | — | 8 | 1 | no | — |
| 178 | C7×SD16 | — | 4 | 1 | no | — |
| 179 | C7×SD16 | — | 4 | 2 | no | — |
| 180 | C7×SD16 | — | 8 | 1 | no | — |
| 181 | C7×D8 | — | 8 | 1 | no | — |
| 182 | C2×C7×C8 | — | 2 | 1 | no | — |
| 183 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 186 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 187 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 188 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 189 | C7×C4⋊C4 | — | 4 | 1 | no | — |
| 190 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 194 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 195 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 196 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 197 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 198 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 199 | C42×C7 | — | 2 | 1 | no | — |
| 200 | C42×C7 | — | 2 | 1 | no | — |
| 201 | C42×C7 | — | 4 | 1 | no | — |
| 202 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 203 | #1144 | — | 8 | 1 | no | — |
| 204 | #1144 | — | 8 | 1 | no | — |
| 205 | #1143 | — | 2 | 2 | no | — |
| 206 | #1142 | — | 4 | 2 | no | — |
| 207 | #1142 | — | 8 | 1 | no | — |
| 208 | #1141 | — | 8 | 1 | no | — |
| 209 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 210 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 211 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 212 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 213 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 214 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 215 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 216 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 217 | C4⋊Dic7 | — | 4 | 1 | no | — |
| 218 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 220 | C4×Dic7 | — | 4 | 1 | no | — |
| 221 | #1136 | — | 4 | 2 | no | — |
| 222 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 223 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 224 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 225 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 226 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C8×D7 | — | 8 | 1 | no | — |
| 229 | #559 | C2×D7 | 1 | 1 | yes | characteristic |
| 230 | #556 | — | 7 | 1 | no | — |
| 231 | #556 | C2×D7 | 1 | 1 | yes | characteristic |
| 232 | #547 | — | 7 | 1 | no | — |
| 233 | #500 | — | 7 | 1 | no | — |
| 234 | #498 | — | 7 | 1 | no | — |
| 235 | #495 | — | 2 | 1 | no | — |
| 236 | #495 | — | 14 | 1 | no | — |
| 237 | #492 | — | 7 | 1 | no | — |
| 238 | #492 | C2×D7 | 1 | 1 | yes | characteristic |
| 239 | #487 | — | 7 | 1 | no | — |
| 240 | #486 | — | 7 | 1 | no | — |
| 241 | #485 | — | 14 | 1 | no | — |
| 242 | #484 | — | 14 | 1 | no | — |
| 243 | #482 | — | 14 | 1 | no | — |
| 244 | #475 | — | 7 | 1 | no | — |
| 245 | #474 | — | 7 | 1 | no | — |
| 246 | #474 | — | 7 | 1 | no | — |
| 247 | #468 | — | 14 | 1 | no | — |
| 248 | #467 | — | 14 | 1 | no | — |
| 249 | #464 | — | 2 | 1 | no | — |
| 250 | #464 | — | 14 | 1 | no | — |
| 251 | #463 | — | 2 | 1 | no | — |
| 252 | #463 | — | 14 | 1 | no | — |
| 253 | #462 | — | 7 | 1 | no | — |
| 254 | #462 | — | 7 | 1 | no | — |
| 255 | #462 | C2×D7 | 1 | 1 | yes | characteristic |
| 256 | #459 | — | 7 | 1 | no | — |
| 257 | #459 | C2×D7 | 1 | 1 | yes | characteristic |
| 258 | #452 | — | 14 | 1 | no | — |
| 259 | C8×Q8 | — | 7 | 1 | no | — |
| 260 | C8×Q8 | C2×D7 | 1 | 1 | yes | characteristic |
| 261 | C4×SD16 | — | 2 | 1 | no | — |
| 262 | C4×SD16 | — | 7 | 1 | no | — |
| 263 | C4×SD16 | — | 14 | 1 | no | — |
| 264 | C4×SD16 | C2×D7 | 1 | 1 | yes | characteristic |
| 265 | #436 | — | 7 | 1 | no | — |
| 266 | C8×D4 | — | 7 | 1 | no | — |
| 267 | #428 | — | 14 | 1 | no | — |
| 268 | #416 | — | 14 | 1 | no | — |
| 269 | #335 | — | 7 | 1 | no | — |
| 270 | #334 | — | 7 | 1 | no | — |
| 271 | #332 | — | 7 | 1 | no | — |
| 272 | #332 | — | 7 | 1 | no | — |
| 273 | #332 | — | 7 | 1 | no | — |
| 274 | #331 | — | 7 | 1 | no | — |
| 275 | Q8⋊C8 | — | 7 | 1 | no | — |
| 276 | Q8⋊C8 | — | 7 | 1 | no | — |
| 277 | D4⋊C8 | — | 7 | 1 | no | — |
| 278 | D4⋊C8 | — | 7 | 1 | no | — |
| 279 | #322 | — | 7 | 1 | no | — |
| 280 | C23×C7 | — | 2 | 1 | no | — |
| 281 | C23×C7 | — | 4 | 1 | no | — |
| 282 | C22×D7 | — | 2 | 1 | no | — |
| 283 | C7×Q8 | — | 2 | 1 | no | — |
| 284 | C7×Q8 | — | 2 | 1 | no | — |
| 285 | C7×Q8 | — | 2 | 1 | no | — |
| 286 | C7×Q8 | — | 2 | 1 | no | — |
| 287 | C7×Q8 | — | 4 | 1 | no | — |
| 288 | C7×Q8 | — | 4 | 1 | no | — |
| 289 | C7×D4 | — | 2 | 1 | no | — |
| 290 | C7×D4 | — | 2 | 1 | no | — |
| 291 | C7×D4 | — | 4 | 1 | no | — |
| 292 | C7×D4 | — | 4 | 1 | no | — |
| 293 | C7×D4 | — | 4 | 1 | no | — |
| 294 | C7×D4 | — | 4 | 1 | no | — |
| 295 | C7×D4 | — | 8 | 1 | no | — |
| 296 | C2×C4×C7 | — | 2 | 1 | no | — |
| 297 | C2×C4×C7 | — | 2 | 1 | no | — |
| 298 | C2×C4×C7 | — | 2 | 1 | no | — |
| 299 | C2×C4×C7 | — | 2 | 1 | no | — |
| 300 | C2×C4×C7 | — | 2 | 1 | no | — |
| 301 | C2×C4×C7 | — | 4 | 1 | no | — |
| 302 | C2×C4×C7 | — | 4 | 1 | no | — |
| 303 | C2×C4×C7 | — | 4 | 1 | no | — |
| 304 | C2×C4×C7 | — | 16 | 1 | no | — |
| 305 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 306 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 307 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 308 | C22⋊D7 | — | 8 | 2 | no | — |
| 309 | C2×Dic7 | — | 2 | 1 | no | — |
| 310 | C2×Dic7 | — | 4 | 1 | no | — |
| 311 | C2×Dic7 | — | 4 | 1 | no | — |
| 312 | C2×Dic7 | — | 8 | 2 | no | — |
| 313 | D28 | — | 2 | 1 | no | — |
| 314 | D28 | — | 2 | 1 | no | — |
| 315 | C4×D7 | — | 4 | 1 | no | — |
| 316 | C4×D7 | — | 4 | 1 | no | — |
| 317 | Dic14 | — | 4 | 1 | no | — |
| 318 | Dic14 | — | 4 | 1 | no | — |
| 319 | Dic14 | — | 4 | 1 | no | — |
| 320 | Dic14 | — | 4 | 1 | no | — |
| 321 | C7×C8 | — | 2 | 1 | no | — |
| 322 | C7×C8 | — | 2 | 1 | no | — |
| 323 | C7×C8 | — | 4 | 1 | no | — |
| 324 | C7⋊C8 | — | 2 | 1 | no | — |
| 325 | C7⋊C8 | — | 4 | 1 | no | — |
| 326 | C7⋊C8 | — | 4 | 1 | no | — |
| 327 | C7⋊C8 | — | 4 | 1 | no | — |
| 328 | C7⋊C8 | — | 4 | 1 | no | — |
| 329 | C7⋊C8 | #135 | 1 | 2 | yes | — |
| 330 | C2×#41 | — | 14 | 1 | no | — |
| 331 | C2×Q16 | — | 2 | 1 | no | — |
| 332 | C2×Q16 | — | 14 | 1 | no | — |
| 333 | C2×Q16 | — | 14 | 1 | no | — |
| 334 | C2×SD16 | — | 2 | 1 | no | — |
| 335 | C2×SD16 | — | 2 | 1 | no | — |
| 336 | C2×SD16 | — | 7 | 1 | no | — |
| 337 | C2×SD16 | — | 14 | 1 | no | — |
| 338 | C2×SD16 | — | 14 | 1 | no | — |
| 339 | C2×SD16 | C22⋊D7 | 1 | 1 | yes | characteristic |
| 340 | C2×D8 | — | 2 | 1 | no | — |
| 341 | C2×D8 | — | 14 | 1 | no | — |
| 342 | C2×M16 | — | 14 | 1 | no | — |
| 343 | C22×C8 | — | 14 | 1 | no | — |
| 344 | C4⋊Q8 | — | 7 | 1 | no | — |
| 345 | C4⋊Q8 | — | 7 | 1 | no | — |
| 346 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 347 | #127 | C22×D7 | 1 | 1 | yes | characteristic |
| 348 | #126 | — | 4 | 1 | no | — |
| 349 | #126 | — | 28 | 1 | no | — |
| 350 | #124 | — | 2 | 1 | no | — |
| 351 | #124 | — | 2 | 1 | no | — |
| 352 | #124 | — | 2 | 1 | no | — |
| 353 | #124 | — | 14 | 1 | no | — |
| 354 | #123 | — | 4 | 1 | no | — |
| 355 | #123 | — | 28 | 1 | no | — |
| 356 | C22⋊Q8 | — | 2 | 1 | no | — |
| 357 | C22⋊Q8 | — | 14 | 1 | no | — |
| 358 | C22⋊Q8 | — | 14 | 1 | no | — |
| 359 | #121 | — | 14 | 1 | no | — |
| 360 | C4×Q8 | — | 2 | 1 | no | — |
| 361 | C4×Q8 | — | 14 | 1 | no | — |
| 362 | C4×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 363 | C4×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 364 | C4×D4 | — | 2 | 1 | no | — |
| 365 | C4×D4 | — | 2 | 1 | no | — |
| 366 | C4×D4 | — | 7 | 1 | no | — |
| 367 | C4×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 368 | #117 | — | 2 | 1 | no | — |
| 369 | #117 | — | 14 | 1 | no | — |
| 370 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 371 | #107 | — | 14 | 1 | no | — |
| 372 | #107 | — | 14 | 1 | no | — |
| 373 | #107 | — | 14 | 1 | no | — |
| 374 | #107 | — | 14 | 1 | no | — |
| 375 | #106 | — | 7 | 1 | no | — |
| 376 | #106 | — | 14 | 1 | no | — |
| 377 | #106 | — | 28 | 1 | no | — |
| 378 | #106 | C22⋊D7 | 1 | 1 | yes | characteristic |
| 379 | C4⋊C8 | — | 2 | 1 | no | — |
| 380 | C4⋊C8 | — | 7 | 1 | no | — |
| 381 | C4⋊C8 | — | 7 | 1 | no | — |
| 382 | C4⋊C8 | — | 7 | 1 | no | — |
| 383 | C4⋊C8 | — | 14 | 1 | no | — |
| 384 | C4⋊C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 385 | #103 | — | 2 | 1 | no | — |
| 386 | #103 | — | 7 | 1 | no | — |
| 387 | #103 | — | 14 | 1 | no | — |
| 388 | #103 | — | 14 | 1 | no | — |
| 389 | #103 | — | 14 | 1 | no | — |
| 390 | #103 | — | 14 | 1 | no | — |
| 391 | #103 | — | 14 | 1 | no | — |
| 392 | #103 | C22⋊D7 | 1 | 1 | yes | characteristic |
| 393 | #102 | — | 2 | 1 | no | — |
| 394 | #102 | — | 7 | 1 | no | — |
| 395 | #102 | — | 14 | 1 | no | — |
| 396 | #102 | — | 14 | 1 | no | — |
| 397 | #102 | — | 14 | 1 | no | — |
| 398 | #102 | — | 28 | 1 | no | — |
| 399 | #102 | C22⋊D7 | 1 | 1 | yes | characteristic |
| 400 | C22⋊C8 | — | 14 | 1 | no | — |
| 401 | C22⋊C8 | — | 14 | 1 | no | — |
| 402 | C4×C8 | — | 2 | 1 | no | — |
| 403 | C4×C8 | — | 7 | 1 | no | — |
| 404 | C4×C8 | — | 7 | 1 | no | — |
| 405 | C4×C8 | — | 14 | 1 | no | — |
| 406 | C4×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 407 | C22×C7 | — | 4 | 1 | no | — |
| 408 | C22×C7 | — | 4 | 1 | no | — |
| 409 | C22×C7 | — | 4 | 1 | no | — |
| 410 | C22×C7 | — | 8 | 1 | no | — |
| 411 | C22×C7 | — | 8 | 1 | no | — |
| 412 | C22×C7 | — | 8 | 1 | no | — |
| 413 | C22×C7 | D42 | 1 | 1 | yes | characteristic |
| 414 | C2×D7 | — | 4 | 1 | no | — |
| 415 | C2×D7 | — | 4 | 1 | no | — |
| 416 | C2×D7 | — | 4 | 1 | no | — |
| 417 | C4×C7 | — | 2 | 1 | no | — |
| 418 | C4×C7 | — | 4 | 1 | no | — |
| 419 | C4×C7 | — | 4 | 1 | no | — |
| 420 | C4×C7 | — | 4 | 1 | no | — |
| 421 | C4×C7 | — | 4 | 1 | no | — |
| 422 | C4×C7 | — | 4 | 1 | no | — |
| 423 | C4×C7 | — | 8 | 1 | no | — |
| 424 | C4×C7 | C2×#135 | 1 | 1 | yes | characteristic |
| 425 | C4×C7 | #575 | 1 | 1 | yes | characteristic |
| 426 | C4×C7 | #576 | 1 | 1 | yes | characteristic |
| 427 | C4×C7 | #577 | 1 | 1 | yes | characteristic |
| 428 | Dic7 | — | 4 | 1 | no | — |
| 429 | Dic7 | — | 8 | 1 | no | — |
| 430 | Dic7 | — | 8 | 1 | no | — |
| 431 | #41 | — | 28 | 2 | no | — |
| 432 | #41 | — | 56 | 1 | no | — |
| 433 | C2×Q8 | — | 2 | 1 | no | — |
| 434 | C2×Q8 | — | 14 | 1 | no | — |
| 435 | C2×Q8 | — | 14 | 1 | no | — |
| 436 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 437 | C2×Q8 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 438 | C2×D4 | — | 2 | 1 | no | — |
| 439 | C2×D4 | — | 2 | 1 | no | — |
| 440 | C2×D4 | — | 2 | 1 | no | — |
| 441 | C2×D4 | — | 7 | 1 | no | — |
| 442 | C2×D4 | — | 28 | 1 | no | — |
| 443 | C2×D4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 444 | C22×C4 | — | 2 | 1 | no | — |
| 445 | C22×C4 | — | 4 | 1 | no | — |
| 446 | C22×C4 | — | 14 | 1 | no | — |
| 447 | C22×C4 | — | 28 | 1 | no | — |
| 448 | Q16 | — | 8 | 1 | no | — |
| 449 | Q16 | — | 56 | 1 | no | — |
| 450 | Q16 | — | 56 | 1 | no | — |
| 451 | SD16 | — | 4 | 1 | no | — |
| 452 | SD16 | — | 4 | 2 | no | — |
| 453 | SD16 | — | 8 | 1 | no | — |
| 454 | SD16 | — | 14 | 2 | no | — |
| 455 | SD16 | — | 28 | 2 | no | — |
| 456 | SD16 | — | 56 | 1 | no | — |
| 457 | D8 | — | 8 | 1 | no | — |
| 458 | D8 | — | 56 | 1 | no | — |
| 459 | M16 | — | 28 | 2 | no | — |
| 460 | C2×C8 | — | 2 | 1 | no | — |
| 461 | C2×C8 | — | 7 | 1 | no | — |
| 462 | C2×C8 | — | 7 | 1 | no | — |
| 463 | C2×C8 | — | 14 | 1 | no | — |
| 464 | C2×C8 | — | 14 | 1 | no | — |
| 465 | C2×C8 | — | 14 | 1 | no | — |
| 466 | C2×C8 | — | 14 | 1 | no | — |
| 467 | C2×C8 | — | 56 | 1 | no | — |
| 468 | C2×C8 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 469 | C2×C8 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 470 | C4⋊C4 | — | 2 | 1 | no | — |
| 471 | C4⋊C4 | — | 2 | 1 | no | — |
| 472 | C4⋊C4 | — | 2 | 1 | no | — |
| 473 | C4⋊C4 | — | 2 | 1 | no | — |
| 474 | C4⋊C4 | — | 4 | 1 | no | — |
| 475 | C4⋊C4 | — | 7 | 1 | no | — |
| 476 | C4⋊C4 | — | 14 | 1 | no | — |
| 477 | C4⋊C4 | — | 14 | 1 | no | — |
| 478 | C4⋊C4 | — | 14 | 1 | no | — |
| 479 | C4⋊C4 | — | 14 | 1 | no | — |
| 480 | C4⋊C4 | — | 28 | 1 | no | — |
| 481 | C4⋊C4 | — | 28 | 1 | no | — |
| 482 | C4⋊C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 483 | C4⋊C4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 484 | C4⋊C4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 485 | C22⋊C4 | — | 2 | 1 | no | — |
| 486 | C22⋊C4 | — | 4 | 1 | no | — |
| 487 | C22⋊C4 | — | 4 | 1 | no | — |
| 488 | C22⋊C4 | — | 4 | 1 | no | — |
| 489 | C22⋊C4 | — | 4 | 1 | no | — |
| 490 | C22⋊C4 | — | 4 | 1 | no | — |
| 491 | C22⋊C4 | — | 14 | 1 | no | — |
| 492 | C22⋊C4 | — | 28 | 1 | no | — |
| 493 | C22⋊C4 | — | 28 | 1 | no | — |
| 494 | C22⋊C4 | — | 28 | 1 | no | — |
| 495 | C42 | — | 2 | 1 | no | — |
| 496 | C42 | — | 2 | 1 | no | — |
| 497 | C42 | — | 4 | 1 | no | — |
| 498 | C42 | — | 28 | 1 | no | — |
| 499 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 500 | C2×C7 | — | 8 | 1 | no | — |
| 501 | C2×C7 | — | 16 | 1 | no | — |
| 502 | C2×C7 | #3268 | 1 | 1 | yes | characteristic |
| 503 | C2×C7 | #3284 | 1 | 1 | yes | characteristic |
| 504 | C2×C7 | #3289 | 1 | 1 | yes | characteristic |
| 505 | D7 | — | 8 | 1 | no | — |
| 506 | C23 | — | 2 | 1 | no | — |
| 507 | C23 | — | 4 | 1 | no | — |
| 508 | C23 | — | 14 | 1 | no | — |
| 509 | Q8 | — | 2 | 1 | no | — |
| 510 | Q8 | — | 2 | 1 | no | — |
| 511 | Q8 | — | 2 | 1 | no | — |
| 512 | Q8 | — | 2 | 1 | no | — |
| 513 | Q8 | — | 4 | 1 | no | — |
| 514 | Q8 | — | 4 | 1 | no | — |
| 515 | Q8 | — | 28 | 1 | no | — |
| 516 | Q8 | — | 28 | 1 | no | — |
| 517 | Q8 | — | 28 | 1 | no | — |
| 518 | Q8 | — | 28 | 1 | no | — |
| 519 | D4 | — | 2 | 1 | no | — |
| 520 | D4 | — | 2 | 1 | no | — |
| 521 | D4 | — | 4 | 1 | no | — |
| 522 | D4 | — | 4 | 1 | no | — |
| 523 | D4 | — | 4 | 1 | no | — |
| 524 | D4 | — | 4 | 1 | no | — |
| 525 | D4 | — | 8 | 1 | no | — |
| 526 | D4 | — | 14 | 1 | no | — |
| 527 | D4 | — | 14 | 1 | no | — |
| 528 | D4 | — | 56 | 2 | no | — |
| 529 | C2×C4 | — | 2 | 1 | no | — |
| 530 | C2×C4 | — | 2 | 1 | no | — |
| 531 | C2×C4 | — | 2 | 1 | no | — |
| 532 | C2×C4 | — | 2 | 1 | no | — |
| 533 | C2×C4 | — | 2 | 1 | no | — |
| 534 | C2×C4 | — | 4 | 1 | no | — |
| 535 | C2×C4 | — | 4 | 1 | no | — |
| 536 | C2×C4 | — | 4 | 1 | no | — |
| 537 | C2×C4 | — | 14 | 1 | no | — |
| 538 | C2×C4 | — | 16 | 1 | no | — |
| 539 | C2×C4 | — | 28 | 1 | no | — |
| 540 | C2×C4 | — | 28 | 1 | no | — |
| 541 | C2×C4 | — | 28 | 1 | no | — |
| 542 | C2×C4 | — | 28 | 1 | no | — |
| 543 | C2×C4 | — | 56 | 2 | no | — |
| 544 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 545 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 546 | C2×C4 | C22×C22⋊D7 | 1 | 1 | yes | characteristic |
| 547 | C8 | — | 2 | 1 | no | — |
| 548 | C8 | — | 2 | 1 | no | — |
| 549 | C8 | — | 4 | 1 | no | — |
| 550 | C8 | — | 7 | 2 | no | — |
| 551 | C8 | — | 14 | 1 | no | — |
| 552 | C8 | — | 28 | 1 | no | — |
| 553 | C8 | — | 28 | 1 | no | — |
| 554 | C8 | — | 28 | 1 | no | — |
| 555 | C8 | — | 28 | 1 | no | — |
| 556 | C7 | #19879 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 557 | C22 | — | 4 | 1 | no | — |
| 558 | C22 | — | 4 | 1 | no | — |
| 559 | C22 | — | 4 | 1 | no | — |
| 560 | C22 | — | 8 | 1 | no | — |
| 561 | C22 | — | 8 | 1 | no | — |
| 562 | C22 | — | 8 | 1 | no | — |
| 563 | C22 | — | 28 | 1 | no | — |
| 564 | C22 | — | 28 | 1 | no | — |
| 565 | C22 | — | 28 | 1 | no | — |
| 566 | C22 | D4×C22⋊D7 | 1 | 1 | yes | characteristic |
| 567 | C4 | — | 2 | 1 | no | — |
| 568 | C4 | — | 4 | 1 | no | — |
| 569 | C4 | — | 4 | 1 | no | — |
| 570 | C4 | — | 4 | 1 | no | — |
| 571 | C4 | — | 4 | 1 | no | — |
| 572 | C4 | — | 4 | 1 | no | — |
| 573 | C4 | — | 8 | 1 | no | — |
| 574 | C4 | — | 28 | 1 | no | — |
| 575 | C4 | — | 56 | 1 | no | — |
| 576 | C4 | — | 56 | 1 | no | — |
| 577 | C4 | D7×#135 | 1 | 1 | yes | characteristic |
| 578 | C4 | #90461 | 1 | 1 | yes | characteristic |
| 579 | C4 | #90513 | 1 | 1 | yes | characteristic |
| 580 | C4 | #90526 | 1 | 1 | yes | characteristic |
| 581 | C2 | — | 8 | 1 | no | — |
| 582 | C2 | — | 16 | 1 | no | — |
| 583 | C2 | — | 56 | 1 | no | — |
| 584 | C2 | #11741022 | 1 | 1 | yes | characteristic |
| 585 | C2 | #11741372 | 1 | 1 | yes | characteristic |
| 586 | C2 | #11741458 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta