| 1 | #11739363 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11739268 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C7×#2242 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11729106 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11729073 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11726975 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11726974 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11726971 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11726970 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11726944 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D7×#357 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11726940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11726937 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726812 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11726805 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#6482 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#6477 | — | 2 | 1 | no | — |
| 18 | C2×D7×D8 | C22 | 1 | 1 | yes | characteristic |
| 19 | #90380 | — | 2 | 1 | no | — |
| 20 | #90365 | — | 2 | 1 | no | — |
| 21 | C7×#499 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C7×#495 | C22 | 1 | 1 | yes | characteristic |
| 23 | #89963 | C22 | 1 | 1 | yes | characteristic |
| 24 | #89948 | — | 2 | 1 | no | — |
| 25 | #89923 | C22 | 1 | 1 | yes | characteristic |
| 26 | #89837 | — | 2 | 1 | no | — |
| 27 | #89830 | — | 2 | 1 | no | — |
| 28 | C2×#6372 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×D7×C16 | C22 | 1 | 1 | yes | characteristic |
| 30 | #89652 | C22 | 1 | 1 | yes | characteristic |
| 31 | D7×#107 | C22 | 1 | 1 | yes | characteristic |
| 32 | #89650 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #89646 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #89633 | — | 2 | 1 | no | — |
| 35 | #89628 | — | 2 | 1 | no | — |
| 36 | #89467 | C22 | 1 | 1 | yes | characteristic |
| 37 | #89461 | C22 | 1 | 1 | yes | characteristic |
| 38 | #89454 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C7×#358 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C7×#358 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C7×#357 | C22 | 1 | 1 | yes | characteristic |
| 42 | C7×#357 | C22 | 1 | 1 | yes | characteristic |
| 43 | C4×C7×C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #89359 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #89359 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #89357 | C22 | 1 | 1 | yes | characteristic |
| 47 | #89357 | C22 | 1 | 1 | yes | characteristic |
| 48 | #89304 | C22 | 1 | 1 | yes | characteristic |
| 49 | #89304 | C22 | 1 | 1 | yes | characteristic |
| 50 | #89304 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #89304 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #89297 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C16×Dic7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #89286 | C22 | 1 | 1 | yes | characteristic |
| 55 | #89286 | C22 | 1 | 1 | yes | characteristic |
| 56 | #89286 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #89286 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #89256 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #33702 | — | 7 | 1 | no | maximal, Sylow |
| 60 | C2×#1161 | — | 2 | 1 | no | — |
| 61 | C2×D4×D7 | — | 2 | 1 | no | — |
| 62 | C2×C7×Q16 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 64 | C2×C7×D8 | C23 | 1 | 1 | yes | characteristic |
| 65 | C7×#125 | — | 2 | 1 | no | — |
| 66 | C7×#124 | — | 2 | 1 | no | — |
| 67 | #6510 | — | 2 | 1 | no | — |
| 68 | C2×#1143 | — | 2 | 1 | no | — |
| 69 | C2×#1143 | — | 2 | 1 | no | — |
| 70 | #6503 | — | 2 | 1 | no | — |
| 71 | C2×#1141 | — | 2 | 1 | no | — |
| 72 | C2×#1141 | — | 2 | 1 | no | — |
| 73 | #6482 | — | 2 | 2 | no | — |
| 74 | #6482 | — | 2 | 2 | no | — |
| 75 | #6477 | — | 4 | 4 | no | — |
| 76 | D7×D8 | — | 2 | 2 | no | — |
| 77 | D7×D8 | — | 2 | 2 | no | — |
| 78 | C2×D56 | — | 2 | 1 | no | — |
| 79 | C2×D56 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×D56 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×#1131 | D4 | 1 | 1 | yes | characteristic |
| 82 | C2×C8×D7 | C23 | 1 | 1 | yes | characteristic |
| 83 | #6460 | — | 4 | 1 | no | — |
| 84 | #6459 | — | 4 | 1 | no | — |
| 85 | #6455 | — | 2 | 1 | no | — |
| 86 | D7×C4⋊C4 | — | 2 | 1 | no | — |
| 87 | #6453 | — | 2 | 1 | no | — |
| 88 | #6452 | — | 4 | 1 | no | — |
| 89 | #6451 | — | 2 | 1 | no | — |
| 90 | #6451 | — | 4 | 1 | no | — |
| 91 | #6447 | — | 4 | 1 | no | — |
| 92 | #6447 | — | 4 | 1 | no | — |
| 93 | #6445 | — | 4 | 1 | no | — |
| 94 | #6445 | — | 4 | 1 | no | — |
| 95 | #6437 | — | 2 | 1 | no | — |
| 96 | #6435 | D4 | 1 | 1 | yes | characteristic |
| 97 | #6432 | — | 2 | 1 | no | — |
| 98 | C2×C7×C16 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×C7×C16 | C23 | 1 | 1 | yes | characteristic |
| 100 | C7×#107 | C23 | 1 | 1 | yes | characteristic |
| 101 | C7×#107 | C23 | 1 | 1 | yes | characteristic |
| 102 | C7×#106 | — | 2 | 1 | no | — |
| 103 | C4×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 104 | #6392 | — | 2 | 1 | no | — |
| 105 | #6392 | C23 | 1 | 1 | yes | characteristic |
| 106 | #6392 | C23 | 1 | 1 | yes | characteristic |
| 107 | #6389 | D4 | 1 | 1 | yes | characteristic |
| 108 | C8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×C7⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×C7⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 111 | #6382 | — | 2 | 1 | no | — |
| 112 | #6382 | — | 2 | 1 | no | — |
| 113 | #6381 | — | 2 | 1 | no | — |
| 114 | #6381 | — | 2 | 1 | no | — |
| 115 | #6377 | D4 | 1 | 1 | yes | characteristic |
| 116 | #6372 | — | 2 | 2 | no | — |
| 117 | D7×C16 | — | 2 | 2 | no | — |
| 118 | #3164 | — | 7 | 1 | no | — |
| 119 | #3155 | — | 7 | 1 | no | — |
| 120 | #2244 | — | 7 | 1 | no | — |
| 121 | #2244 | — | 7 | 1 | no | — |
| 122 | #2243 | — | 7 | 1 | no | — |
| 123 | #2243 | — | 7 | 1 | no | — |
| 124 | #2242 | — | 7 | 1 | no | — |
| 125 | #2242 | D7 | 1 | 1 | yes | characteristic, complemented |
| 126 | #2240 | — | 7 | 1 | no | — |
| 127 | #2240 | — | 7 | 1 | no | — |
| 128 | #2140 | — | 7 | 1 | no | — |
| 129 | #2139 | — | 7 | 1 | no | — |
| 130 | #2138 | — | 7 | 1 | no | — |
| 131 | C2×#357 | — | 7 | 1 | no | — |
| 132 | #2108 | — | 7 | 1 | no | — |
| 133 | C23×D7 | — | 4 | 1 | no | — |
| 134 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 135 | C2×C7×D4 | — | 2 | 1 | no | — |
| 136 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 137 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 138 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 139 | #1161 | — | 4 | 2 | no | — |
| 140 | #1161 | — | 4 | 2 | no | — |
| 141 | D4×D7 | — | 4 | 2 | no | — |
| 142 | D4×D7 | — | 4 | 2 | no | — |
| 143 | C2×D28 | — | 2 | 1 | no | — |
| 144 | C2×D28 | — | 2 | 1 | no | — |
| 145 | C2×D28 | — | 4 | 1 | no | — |
| 146 | C2×D28 | — | 4 | 1 | no | — |
| 147 | C2×D28 | — | 4 | 1 | no | — |
| 148 | C2×C4×D7 | — | 4 | 1 | no | — |
| 149 | C2×C4×D7 | — | 4 | 1 | no | — |
| 150 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | C2×Dic14 | — | 4 | 1 | no | — |
| 152 | C2×Dic14 | — | 4 | 1 | no | — |
| 153 | C7×Q16 | — | 2 | 1 | no | — |
| 154 | C7×Q16 | — | 2 | 1 | no | — |
| 155 | C7×SD16 | — | 4 | 2 | no | — |
| 156 | C7×D8 | — | 2 | 1 | no | — |
| 157 | C7×D8 | — | 2 | 1 | no | — |
| 158 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 160 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 161 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 162 | C7×C4⋊C4 | — | 4 | 1 | no | — |
| 163 | C7×C4⋊C4 | — | 4 | 1 | no | — |
| 164 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 165 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 166 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | #1143 | — | 4 | 2 | no | — |
| 168 | #1143 | — | 4 | 2 | no | — |
| 169 | #1141 | — | 4 | 2 | no | — |
| 170 | #1141 | — | 4 | 2 | no | — |
| 171 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 172 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 173 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 174 | (C2×D7)⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 175 | (C2×D7)⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 176 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 177 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 178 | C4⋊Dic7 | — | 4 | 1 | no | — |
| 179 | C4⋊Dic7 | — | 4 | 1 | no | — |
| 180 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 181 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 182 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 183 | Dic7⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 184 | Dic7⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 185 | C4×Dic7 | — | 4 | 1 | no | — |
| 186 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | D56 | — | 2 | 1 | no | — |
| 190 | D56 | — | 2 | 1 | no | — |
| 191 | D56 | — | 2 | 1 | no | — |
| 192 | D56 | — | 2 | 1 | no | — |
| 193 | D56 | — | 4 | 2 | no | — |
| 194 | #1131 | SD16 | 1 | 4 | yes | — |
| 195 | C8×D7 | #41 | 1 | 2 | yes | — |
| 196 | C8×D7 | #41 | 1 | 2 | yes | — |
| 197 | C7×C16 | — | 2 | 1 | no | — |
| 198 | C7×C16 | — | 2 | 1 | no | — |
| 199 | C7⋊C16 | — | 2 | 1 | no | — |
| 200 | C7⋊C16 | — | 2 | 1 | no | — |
| 201 | C2×AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 202 | C2×#135 | — | 7 | 1 | no | — |
| 203 | C22×D8 | — | 7 | 1 | no | — |
| 204 | #544 | — | 14 | 1 | no | — |
| 205 | #535 | — | 14 | 1 | no | — |
| 206 | C2×M32 | — | 7 | 1 | no | — |
| 207 | C22×C16 | — | 7 | 1 | no | — |
| 208 | #501 | — | 14 | 1 | no | — |
| 209 | #501 | — | 14 | 1 | no | — |
| 210 | #500 | — | 7 | 1 | no | — |
| 211 | #500 | — | 7 | 1 | no | — |
| 212 | #499 | — | 7 | 1 | no | — |
| 213 | #499 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 214 | #496 | — | 14 | 1 | no | — |
| 215 | #496 | — | 14 | 1 | no | — |
| 216 | #495 | — | 7 | 1 | no | — |
| 217 | #495 | C2×D7 | 1 | 1 | yes | characteristic |
| 218 | #493 | — | 7 | 1 | no | — |
| 219 | #493 | — | 7 | 1 | no | — |
| 220 | #428 | — | 14 | 1 | no | — |
| 221 | #427 | — | 7 | 1 | no | — |
| 222 | C2×#107 | — | 7 | 1 | no | — |
| 223 | #405 | — | 7 | 1 | no | — |
| 224 | #358 | — | 7 | 1 | no | — |
| 225 | #358 | — | 7 | 1 | no | — |
| 226 | #358 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 227 | #358 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 228 | #357 | — | 7 | 1 | no | — |
| 229 | #357 | — | 7 | 1 | no | — |
| 230 | #357 | — | 7 | 1 | no | — |
| 231 | #357 | — | 7 | 1 | no | — |
| 232 | #357 | — | 7 | 1 | no | — |
| 233 | #357 | — | 7 | 1 | no | — |
| 234 | #357 | — | 7 | 1 | no | — |
| 235 | #357 | — | 7 | 1 | no | — |
| 236 | #357 | — | 7 | 1 | no | — |
| 237 | #357 | — | 7 | 1 | no | — |
| 238 | #357 | C2×D7 | 1 | 1 | yes | characteristic |
| 239 | #357 | C2×D7 | 1 | 1 | yes | characteristic |
| 240 | #346 | — | 7 | 1 | no | — |
| 241 | #346 | — | 7 | 1 | no | — |
| 242 | C4×C16 | — | 7 | 1 | no | — |
| 243 | C4×C16 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 244 | C23×C7 | — | 4 | 1 | no | — |
| 245 | C22×D7 | — | 4 | 1 | no | — |
| 246 | C22×D7 | — | 4 | 1 | no | — |
| 247 | C22×D7 | — | 8 | 2 | no | — |
| 248 | C22×D7 | — | 16 | 1 | no | — |
| 249 | C22×D7 | — | 16 | 1 | no | — |
| 250 | C22×D7 | C2×D8 | 1 | 1 | yes | characteristic |
| 251 | C7×Q8 | — | 4 | 1 | no | — |
| 252 | C7×Q8 | — | 4 | 1 | no | — |
| 253 | C7×D4 | — | 4 | 1 | no | — |
| 254 | C7×D4 | — | 4 | 1 | no | — |
| 255 | C2×C4×C7 | — | 4 | 1 | no | — |
| 256 | C2×C4×C7 | — | 4 | 1 | no | — |
| 257 | C2×C4×C7 | — | 4 | 1 | no | — |
| 258 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 259 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 260 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 261 | C22⋊D7 | — | 8 | 2 | no | — |
| 262 | C22⋊D7 | — | 16 | 1 | no | — |
| 263 | C22⋊D7 | — | 16 | 1 | no | — |
| 264 | C2×Dic7 | — | 4 | 1 | no | — |
| 265 | C2×Dic7 | — | 4 | 1 | no | — |
| 266 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 267 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 268 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 269 | D28 | — | 4 | 1 | no | — |
| 270 | D28 | — | 4 | 1 | no | — |
| 271 | D28 | — | 4 | 1 | no | — |
| 272 | D28 | — | 4 | 1 | no | — |
| 273 | D28 | — | 8 | 2 | no | — |
| 274 | D28 | — | 16 | 1 | no | — |
| 275 | D28 | — | 16 | 1 | no | — |
| 276 | C4×D7 | — | 8 | 2 | no | — |
| 277 | C4×D7 | — | 16 | 1 | no | — |
| 278 | C4×D7 | #124 | 1 | 2 | yes | — |
| 279 | C4×D7 | C2×SD16 | 1 | 2 | yes | — |
| 280 | Dic14 | — | 16 | 1 | no | — |
| 281 | Dic14 | — | 16 | 1 | no | — |
| 282 | C7×C8 | C2×SD16 | 1 | 2 | yes | — |
| 283 | C7×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 284 | C7×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 285 | C7⋊C8 | #124 | 1 | 2 | yes | — |
| 286 | C7⋊C8 | C2×SD16 | 1 | 2 | yes | — |
| 287 | C2×#41 | — | 14 | 1 | no | — |
| 288 | C22×D4 | — | 14 | 1 | no | — |
| 289 | AGL(1,ℤ/8) | — | 28 | 4 | no | — |
| 290 | #135 | — | 14 | 2 | no | — |
| 291 | #135 | — | 14 | 2 | no | — |
| 292 | C2×Q16 | C22×D7 | 1 | 1 | yes | characteristic |
| 293 | C2×SD16 | — | 2 | 1 | no | — |
| 294 | C2×SD16 | — | 14 | 1 | no | — |
| 295 | C2×SD16 | — | 14 | 1 | no | — |
| 296 | C2×D8 | — | 7 | 1 | no | — |
| 297 | C2×D8 | — | 7 | 1 | no | — |
| 298 | C2×D8 | — | 14 | 2 | no | — |
| 299 | C2×D8 | — | 14 | 2 | no | — |
| 300 | C2×D8 | — | 14 | 1 | no | — |
| 301 | C2×D8 | — | 14 | 1 | no | — |
| 302 | C2×D8 | — | 14 | 1 | no | — |
| 303 | C2×D8 | C22×D7 | 1 | 1 | yes | characteristic |
| 304 | C2×M16 | — | 7 | 1 | no | — |
| 305 | C22×C8 | — | 7 | 1 | no | — |
| 306 | C4⋊Q8 | — | 14 | 1 | no | — |
| 307 | C4⋊Q8 | — | 14 | 1 | no | — |
| 308 | C4⋊Q8 | — | 28 | 1 | no | — |
| 309 | #127 | — | 14 | 1 | no | — |
| 310 | #127 | — | 14 | 1 | no | — |
| 311 | #125 | — | 2 | 1 | no | — |
| 312 | #125 | — | 14 | 1 | no | — |
| 313 | #125 | — | 28 | 1 | no | — |
| 314 | #124 | — | 2 | 1 | no | — |
| 315 | #124 | — | 14 | 1 | no | — |
| 316 | C22⋊Q8 | — | 28 | 1 | no | — |
| 317 | C22⋊Q8 | — | 28 | 1 | no | — |
| 318 | #121 | — | 28 | 1 | no | — |
| 319 | #121 | — | 28 | 1 | no | — |
| 320 | #120 | — | 28 | 1 | no | — |
| 321 | #120 | — | 28 | 1 | no | — |
| 322 | #117 | — | 7 | 1 | no | — |
| 323 | #117 | — | 14 | 1 | no | — |
| 324 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 325 | M32 | — | 14 | 2 | no | — |
| 326 | C2×C16 | — | 7 | 1 | no | — |
| 327 | C2×C16 | — | 7 | 1 | no | — |
| 328 | C2×C16 | — | 14 | 2 | no | — |
| 329 | C2×C16 | C22×D7 | 1 | 1 | yes | characteristic |
| 330 | C2×C16 | C22×D7 | 1 | 1 | yes | characteristic |
| 331 | #107 | — | 7 | 1 | no | — |
| 332 | #107 | — | 7 | 1 | no | — |
| 333 | #107 | — | 14 | 1 | no | — |
| 334 | #107 | — | 14 | 1 | no | — |
| 335 | #107 | — | 14 | 1 | no | — |
| 336 | #107 | C22×D7 | 1 | 1 | yes | characteristic |
| 337 | #107 | C22×D7 | 1 | 1 | yes | characteristic |
| 338 | #106 | — | 2 | 1 | no | — |
| 339 | #106 | — | 14 | 1 | no | — |
| 340 | #106 | — | 14 | 1 | no | — |
| 341 | #97 | — | 7 | 1 | no | — |
| 342 | #97 | — | 7 | 1 | no | — |
| 343 | C4×C8 | — | 7 | 1 | no | — |
| 344 | C4×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 345 | C22×C7 | — | 8 | 1 | no | — |
| 346 | C22×C7 | — | 8 | 1 | no | — |
| 347 | C22×C7 | — | 8 | 1 | no | — |
| 348 | C22×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 349 | C2×D7 | — | 2 | 1 | no | — |
| 350 | C2×D7 | — | 2 | 1 | no | — |
| 351 | C2×D7 | — | 8 | 1 | no | — |
| 352 | C2×D7 | — | 8 | 1 | no | — |
| 353 | C2×D7 | — | 8 | 1 | no | — |
| 354 | C2×D7 | — | 8 | 1 | no | — |
| 355 | C2×D7 | — | 8 | 1 | no | — |
| 356 | C2×D7 | — | 8 | 1 | no | — |
| 357 | C2×D7 | — | 16 | 4 | no | — |
| 358 | C2×D7 | #486 | 1 | 2 | yes | — |
| 359 | C4×C7 | — | 2 | 1 | no | — |
| 360 | C4×C7 | — | 2 | 1 | no | — |
| 361 | C4×C7 | — | 8 | 1 | no | — |
| 362 | C4×C7 | — | 8 | 1 | no | — |
| 363 | C4×C7 | — | 8 | 1 | no | — |
| 364 | C4×C7 | C2×#124 | 1 | 1 | yes | characteristic |
| 365 | C4×C7 | C22×SD16 | 1 | 1 | yes | characteristic |
| 366 | Dic7 | — | 2 | 1 | no | — |
| 367 | Dic7 | — | 2 | 1 | no | — |
| 368 | Dic7 | — | 8 | 1 | no | — |
| 369 | Dic7 | — | 8 | 1 | no | — |
| 370 | Dic7 | #486 | 1 | 2 | yes | — |
| 371 | C24 | — | 28 | 1 | no | — |
| 372 | #41 | — | 28 | 2 | no | — |
| 373 | #41 | — | 28 | 2 | no | — |
| 374 | C2×Q8 | — | 2 | 1 | no | — |
| 375 | C2×Q8 | — | 28 | 1 | no | — |
| 376 | C2×Q8 | — | 28 | 1 | no | — |
| 377 | C2×D4 | — | 2 | 1 | no | — |
| 378 | C2×D4 | — | 14 | 1 | no | — |
| 379 | C2×D4 | — | 14 | 1 | no | — |
| 380 | C2×D4 | — | 28 | 1 | no | — |
| 381 | C2×D4 | — | 28 | 2 | no | — |
| 382 | C2×D4 | — | 28 | 2 | no | — |
| 383 | C2×D4 | — | 28 | 1 | no | — |
| 384 | C2×D4 | — | 28 | 1 | no | — |
| 385 | C2×D4 | — | 28 | 1 | no | — |
| 386 | C2×D4 | — | 28 | 1 | no | — |
| 387 | C2×D4 | — | 28 | 1 | no | — |
| 388 | C22×C4 | — | 7 | 1 | no | — |
| 389 | C22×C4 | — | 28 | 1 | no | — |
| 390 | C22×C4 | — | 28 | 1 | no | — |
| 391 | Q16 | — | 2 | 1 | no | — |
| 392 | Q16 | — | 2 | 1 | no | — |
| 393 | SD16 | — | 4 | 2 | no | — |
| 394 | SD16 | — | 28 | 2 | no | — |
| 395 | SD16 | — | 28 | 2 | no | — |
| 396 | D8 | — | 2 | 1 | no | — |
| 397 | D8 | — | 2 | 1 | no | — |
| 398 | D8 | — | 14 | 1 | no | — |
| 399 | D8 | — | 14 | 1 | no | — |
| 400 | D8 | — | 14 | 1 | no | — |
| 401 | D8 | — | 14 | 1 | no | — |
| 402 | D8 | — | 28 | 2 | no | — |
| 403 | D8 | — | 28 | 2 | no | — |
| 404 | D8 | — | 28 | 2 | no | — |
| 405 | M16 | — | 7 | 4 | no | — |
| 406 | C2×C8 | — | 7 | 1 | no | — |
| 407 | C2×C8 | — | 7 | 1 | no | — |
| 408 | C2×C8 | — | 7 | 2 | no | — |
| 409 | C2×C8 | — | 7 | 2 | no | — |
| 410 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 411 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 412 | C4⋊C4 | — | 2 | 1 | no | — |
| 413 | C4⋊C4 | — | 2 | 1 | no | — |
| 414 | C4⋊C4 | — | 4 | 1 | no | — |
| 415 | C4⋊C4 | — | 4 | 1 | no | — |
| 416 | C4⋊C4 | — | 7 | 1 | no | — |
| 417 | C4⋊C4 | — | 7 | 1 | no | — |
| 418 | C4⋊C4 | — | 14 | 1 | no | — |
| 419 | C4⋊C4 | — | 14 | 1 | no | — |
| 420 | C4⋊C4 | — | 28 | 1 | no | — |
| 421 | C4⋊C4 | — | 28 | 1 | no | — |
| 422 | C4⋊C4 | — | 28 | 1 | no | — |
| 423 | C4⋊C4 | — | 28 | 1 | no | — |
| 424 | C4⋊C4 | — | 28 | 1 | no | — |
| 425 | C22⋊C4 | — | 4 | 1 | no | — |
| 426 | C22⋊C4 | — | 4 | 1 | no | — |
| 427 | C22⋊C4 | — | 7 | 1 | no | — |
| 428 | C22⋊C4 | — | 7 | 1 | no | — |
| 429 | C22⋊C4 | — | 28 | 1 | no | — |
| 430 | C22⋊C4 | — | 28 | 1 | no | — |
| 431 | C22⋊C4 | — | 28 | 1 | no | — |
| 432 | C42 | — | 7 | 1 | no | — |
| 433 | C42 | — | 28 | 1 | no | — |
| 434 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 435 | C16 | — | 2 | 1 | no | — |
| 436 | C16 | — | 2 | 1 | no | — |
| 437 | C16 | — | 14 | 1 | no | — |
| 438 | C16 | — | 14 | 1 | no | — |
| 439 | C2×C7 | — | 16 | 1 | no | — |
| 440 | C2×C7 | C2×#486 | 1 | 1 | yes | characteristic |
| 441 | C2×C7 | #3415 | 1 | 1 | yes | characteristic |
| 442 | C2×C7 | #3416 | 1 | 1 | yes | characteristic |
| 443 | D7 | — | 2 | 2 | no | — |
| 444 | D7 | — | 16 | 1 | no | — |
| 445 | D7 | — | 16 | 1 | no | — |
| 446 | C23 | — | 4 | 1 | no | — |
| 447 | C23 | — | 7 | 1 | no | — |
| 448 | C23 | — | 28 | 1 | no | — |
| 449 | C23 | — | 28 | 1 | no | — |
| 450 | C23 | — | 56 | 2 | no | — |
| 451 | C23 | — | 112 | 1 | no | — |
| 452 | C23 | — | 112 | 1 | no | — |
| 453 | Q8 | — | 4 | 1 | no | — |
| 454 | Q8 | — | 4 | 1 | no | — |
| 455 | Q8 | — | 112 | 1 | no | — |
| 456 | Q8 | — | 112 | 1 | no | — |
| 457 | D4 | — | 4 | 1 | no | — |
| 458 | D4 | — | 4 | 1 | no | — |
| 459 | D4 | — | 28 | 1 | no | — |
| 460 | D4 | — | 28 | 1 | no | — |
| 461 | D4 | — | 28 | 1 | no | — |
| 462 | D4 | — | 28 | 1 | no | — |
| 463 | D4 | — | 56 | 2 | no | — |
| 464 | D4 | — | 56 | 2 | no | — |
| 465 | D4 | — | 112 | 1 | no | — |
| 466 | D4 | — | 112 | 1 | no | — |
| 467 | D4 | — | 112 | 1 | no | — |
| 468 | D4 | — | 112 | 1 | no | — |
| 469 | C2×C4 | — | 4 | 1 | no | — |
| 470 | C2×C4 | — | 4 | 1 | no | — |
| 471 | C2×C4 | — | 4 | 1 | no | — |
| 472 | C2×C4 | — | 7 | 1 | no | — |
| 473 | C2×C4 | — | 7 | 2 | no | — |
| 474 | C2×C4 | — | 7 | 2 | no | — |
| 475 | C2×C4 | — | 7 | 1 | no | — |
| 476 | C2×C4 | — | 7 | 1 | no | — |
| 477 | C2×C4 | — | 28 | 1 | no | — |
| 478 | C2×C4 | — | 28 | 1 | no | — |
| 479 | C2×C4 | — | 56 | 2 | no | — |
| 480 | C2×C4 | — | 112 | 1 | no | — |
| 481 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 482 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 483 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 484 | C8 | — | 7 | 2 | no | — |
| 485 | C8 | — | 7 | 2 | no | — |
| 486 | C8 | D7×SD16 | 1 | 2 | yes | — |
| 487 | C8 | D7×#41 | 1 | 1 | yes | characteristic |
| 488 | C8 | D7×#41 | 1 | 1 | yes | characteristic |
| 489 | C7 | #33702 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 490 | C22 | — | 7 | 2 | no | — |
| 491 | C22 | — | 8 | 1 | no | — |
| 492 | C22 | — | 8 | 1 | no | — |
| 493 | C22 | — | 8 | 1 | no | — |
| 494 | C22 | — | 14 | 1 | no | — |
| 495 | C22 | — | 14 | 1 | no | — |
| 496 | C22 | — | 56 | 1 | no | — |
| 497 | C22 | — | 56 | 1 | no | — |
| 498 | C22 | — | 56 | 1 | no | — |
| 499 | C22 | — | 56 | 1 | no | — |
| 500 | C22 | — | 56 | 1 | no | — |
| 501 | C22 | — | 56 | 1 | no | — |
| 502 | C22 | — | 112 | 4 | no | — |
| 503 | C22 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 504 | C4 | — | 2 | 1 | no | — |
| 505 | C4 | — | 2 | 1 | no | — |
| 506 | C4 | — | 7 | 2 | no | — |
| 507 | C4 | — | 8 | 1 | no | — |
| 508 | C4 | — | 8 | 1 | no | — |
| 509 | C4 | — | 8 | 1 | no | — |
| 510 | C4 | — | 14 | 1 | no | — |
| 511 | C4 | — | 14 | 1 | no | — |
| 512 | C4 | — | 56 | 1 | no | — |
| 513 | C4 | — | 56 | 1 | no | — |
| 514 | C4 | D7×#124 | 1 | 1 | yes | characteristic |
| 515 | C4 | C2×D7×SD16 | 1 | 1 | yes | characteristic |
| 516 | C2 | — | 14 | 2 | no | — |
| 517 | C2 | — | 16 | 1 | no | — |
| 518 | C2 | — | 112 | 1 | no | — |
| 519 | C2 | — | 112 | 1 | no | — |
| 520 | C2 | D7×#486 | 1 | 1 | yes | characteristic |
| 521 | C2 | #11739476 | 1 | 1 | yes | characteristic |
| 522 | C2 | #11739477 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta