| 1 | C2×SD32×D71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×D16×D71 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #495×D71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C4×D8×D71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22590398 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22590397 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22590396 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22590395 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22590394 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22590393 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22590392 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C4⋊C16×D71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #358×D71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #357×D71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#2210 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×Q16×D71 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×SD16×D71 | — | 2 | 1 | no | — |
| 18 | C2×D8×D71 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×D8×D71 | C22 | 1 | 1 | yes | characteristic |
| 20 | #124×D71 | — | 2 | 1 | no | — |
| 21 | C4×D4×D71 | — | 2 | 1 | no | — |
| 22 | C2×#14556073 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×#14556072 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#14556071 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | SD32×D71 | — | 2 | 4 | no | — |
| 26 | C2×D1136 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#14556069 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#14556069 | C22 | 1 | 1 | yes | characteristic |
| 29 | D16×D71 | — | 2 | 4 | no | — |
| 30 | C2×C16×D71 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×C16×D71 | C22 | 1 | 1 | yes | characteristic |
| 32 | #17986384 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #17986383 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #17986382 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #17986381 | — | 2 | 1 | no | — |
| 36 | #17986380 | — | 2 | 1 | no | — |
| 37 | C4×D568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | D8×Dic71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #17986081 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C4×#11765850 | — | 2 | 1 | no | — |
| 41 | #17986079 | — | 2 | 1 | no | — |
| 42 | #107×D71 | C22 | 1 | 1 | yes | characteristic |
| 43 | #102×D71 | — | 2 | 1 | no | — |
| 44 | C4×C8×D71 | C22 | 1 | 1 | yes | characteristic |
| 45 | C4⋊(C71⋊C16) | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | Dic71⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | Dic71⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #17985804 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #17985803 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #17985802 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #17985801 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #17985800 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #17985799 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2×SD32×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C2×D16×C71 | C22 | 1 | 1 | yes | characteristic |
| 56 | #495×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C4×D8×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C4⋊C16×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #358×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #357×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C2×Q8×D71 | — | 2 | 1 | no | — |
| 62 | C2×D4×D71 | — | 2 | 1 | no | — |
| 63 | C2×D4×D71 | — | 2 | 1 | no | — |
| 64 | C22×C4×D71 | — | 4 | 1 | no | — |
| 65 | C2×Dic284 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×#11765855 | — | 2 | 1 | no | — |
| 67 | Q16×D71 | — | 2 | 2 | no | — |
| 68 | Q16×D71 | — | 2 | 2 | no | — |
| 69 | C2×#11765854 | — | 2 | 1 | no | — |
| 70 | C2×#11765853 | — | 2 | 1 | no | — |
| 71 | C2×#11765852 | — | 2 | 1 | no | — |
| 72 | SD16×D71 | — | 4 | 4 | no | — |
| 73 | C2×D568 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×D568 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×#11765850 | — | 2 | 1 | no | — |
| 76 | C2×#11765850 | — | 2 | 1 | no | — |
| 77 | D8×D71 | — | 2 | 2 | no | — |
| 78 | D8×D71 | — | 2 | 2 | no | — |
| 79 | D8×D71 | — | 2 | 2 | no | — |
| 80 | D8×D71 | D4 | 1 | 4 | yes | — |
| 81 | C2×C8×D71 | D4 | 1 | 1 | yes | characteristic |
| 82 | C2×C8×D71 | C23 | 1 | 1 | yes | characteristic |
| 83 | #14556117 | — | 2 | 1 | no | — |
| 84 | #14556116 | — | 2 | 1 | no | — |
| 85 | #14556115 | — | 2 | 1 | no | — |
| 86 | #14556114 | — | 4 | 1 | no | — |
| 87 | #14556114 | — | 4 | 1 | no | — |
| 88 | C4×D284 | — | 2 | 1 | no | — |
| 89 | D4×Dic71 | — | 2 | 1 | no | — |
| 90 | #14556090 | — | 2 | 1 | no | — |
| 91 | C4×C22⋊D71 | — | 4 | 1 | no | — |
| 92 | (C22⋊D71)⋊C4 | — | 4 | 1 | no | — |
| 93 | C4⋊C4×D71 | — | 2 | 1 | no | — |
| 94 | C22⋊C4×D71 | — | 4 | 1 | no | — |
| 95 | C22⋊C4×D71 | — | 4 | 1 | no | — |
| 96 | C22⋊C4×D71 | — | 4 | 1 | no | — |
| 97 | C42×D71 | D4 | 1 | 1 | yes | characteristic |
| 98 | #14556073 | — | 2 | 2 | no | — |
| 99 | #14556072 | — | 2 | 2 | no | — |
| 100 | #14556071 | — | 2 | 2 | no | — |
| 101 | D1136 | — | 2 | 2 | no | — |
| 102 | #14556069 | — | 2 | 2 | no | — |
| 103 | #14556069 | — | 2 | 2 | no | — |
| 104 | C2×C71⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×C71⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 106 | C16×D71 | — | 2 | 2 | no | — |
| 107 | C16×D71 | — | 2 | 2 | no | — |
| 108 | #14556062 | C23 | 1 | 1 | yes | characteristic |
| 109 | #14556061 | — | 2 | 1 | no | — |
| 110 | #14556050 | — | 2 | 1 | no | — |
| 111 | #14556049 | — | 2 | 1 | no | — |
| 112 | #14556048 | — | 2 | 1 | no | — |
| 113 | C4×C71⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 114 | C8×Dic71 | D4 | 1 | 1 | yes | characteristic |
| 115 | C8×Dic71 | C23 | 1 | 1 | yes | characteristic |
| 116 | C2×Q16×C71 | C23 | 1 | 1 | yes | characteristic |
| 117 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 118 | C2×D8×C71 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×D8×C71 | C23 | 1 | 1 | yes | characteristic |
| 120 | #124×C71 | — | 2 | 1 | no | — |
| 121 | C4×D4×C71 | — | 2 | 1 | no | — |
| 122 | SD32×C71 | — | 2 | 2 | no | — |
| 123 | D16×C71 | — | 2 | 2 | no | — |
| 124 | C2×C16×C71 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×C16×C71 | C23 | 1 | 1 | yes | characteristic |
| 126 | #107×C71 | C23 | 1 | 1 | yes | characteristic |
| 127 | #102×C71 | — | 2 | 1 | no | — |
| 128 | C4×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 129 | C23×D71 | — | 4 | 1 | no | — |
| 130 | C23×D71 | — | 4 | 1 | no | — |
| 131 | C2×Dic142 | — | 2 | 1 | no | — |
| 132 | C2×Dic142 | — | 4 | 1 | no | — |
| 133 | Q8×D71 | — | 4 | 2 | no | — |
| 134 | Q8×D71 | — | 4 | 2 | no | — |
| 135 | C2×D284 | — | 2 | 1 | no | — |
| 136 | C2×D284 | — | 2 | 1 | no | — |
| 137 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 138 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 139 | D4×D71 | — | 2 | 4 | no | — |
| 140 | D4×D71 | — | 4 | 2 | no | — |
| 141 | D4×D71 | — | 4 | 2 | no | — |
| 142 | D4×D71 | — | 4 | 2 | no | — |
| 143 | C22×Dic71 | — | 4 | 1 | no | — |
| 144 | C2×C4×D71 | — | 4 | 1 | no | — |
| 145 | C2×C4×D71 | — | 4 | 1 | no | — |
| 146 | C2×C4×D71 | — | 4 | 1 | no | — |
| 147 | C2×C4×D71 | — | 4 | 1 | no | — |
| 148 | C2×C4×D71 | — | 8 | 4 | no | — |
| 149 | C2×C4×D71 | D8 | 1 | 1 | yes | characteristic |
| 150 | C2×C4×D71 | D8 | 1 | 1 | yes | characteristic |
| 151 | C2×C4×D71 | C2×D4 | 1 | 1 | yes | characteristic |
| 152 | Dic284 | — | 2 | 1 | no | — |
| 153 | Dic284 | — | 2 | 1 | no | — |
| 154 | #11765855 | — | 4 | 2 | no | — |
| 155 | #11765854 | — | 4 | 2 | no | — |
| 156 | #11765853 | — | 4 | 2 | no | — |
| 157 | #11765852 | — | 4 | 2 | no | — |
| 158 | D568 | — | 2 | 1 | no | — |
| 159 | D568 | — | 2 | 1 | no | — |
| 160 | D568 | — | 2 | 1 | no | — |
| 161 | D568 | C2×D4 | 1 | 2 | yes | — |
| 162 | #11765850 | — | 2 | 4 | no | — |
| 163 | #11765850 | — | 4 | 2 | no | — |
| 164 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 166 | C8×D71 | — | 2 | 2 | no | — |
| 167 | C8×D71 | C2×D4 | 1 | 2 | yes | — |
| 168 | C8×D71 | #41 | 1 | 2 | yes | — |
| 169 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 170 | Dic71⋊C4 | — | 4 | 1 | no | — |
| 171 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 172 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 173 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 174 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 175 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 176 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 177 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 178 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 179 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 180 | C4×Dic71 | D8 | 1 | 1 | yes | characteristic |
| 181 | C4×Dic71 | D8 | 1 | 1 | yes | characteristic |
| 182 | C4×Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C71⋊C16 | — | 2 | 1 | no | — |
| 184 | C71⋊C16 | — | 2 | 1 | no | — |
| 185 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 186 | C2×D4×C71 | — | 2 | 1 | no | — |
| 187 | C2×D4×C71 | — | 2 | 1 | no | — |
| 188 | C22×C4×C71 | — | 4 | 1 | no | — |
| 189 | Q16×C71 | — | 2 | 1 | no | — |
| 190 | Q16×C71 | — | 2 | 1 | no | — |
| 191 | SD16×C71 | — | 4 | 2 | no | — |
| 192 | D8×C71 | — | 2 | 1 | no | — |
| 193 | D8×C71 | — | 2 | 1 | no | — |
| 194 | D8×C71 | — | 2 | 1 | no | — |
| 195 | D8×C71 | C2×D4 | 1 | 2 | yes | — |
| 196 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C2×C8×C71 | C24 | 1 | 1 | yes | characteristic |
| 198 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 199 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 200 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 201 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 202 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C16×C71 | — | 2 | 1 | no | — |
| 204 | C16×C71 | — | 2 | 1 | no | — |
| 205 | C23×C71 | — | 4 | 1 | no | — |
| 206 | C23×C71 | — | 4 | 1 | no | — |
| 207 | C22×D71 | — | 4 | 1 | no | — |
| 208 | C22×D71 | — | 4 | 4 | no | — |
| 209 | C22×D71 | — | 4 | 1 | no | — |
| 210 | C22×D71 | — | 8 | 2 | no | — |
| 211 | C22×D71 | — | 8 | 2 | no | — |
| 212 | C22×D71 | — | 8 | 2 | no | — |
| 213 | C22×D71 | — | 8 | 2 | no | — |
| 214 | C22×D71 | — | 8 | 2 | no | — |
| 215 | C22×D71 | C2×D8 | 1 | 1 | yes | characteristic |
| 216 | Q8×C71 | — | 4 | 1 | no | — |
| 217 | Q8×C71 | — | 4 | 1 | no | — |
| 218 | D4×C71 | — | 2 | 2 | no | — |
| 219 | D4×C71 | — | 4 | 1 | no | — |
| 220 | D4×C71 | — | 4 | 1 | no | — |
| 221 | D4×C71 | — | 4 | 1 | no | — |
| 222 | C2×C4×C71 | — | 4 | 1 | no | — |
| 223 | C2×C4×C71 | — | 4 | 1 | no | — |
| 224 | C2×C4×C71 | — | 8 | 2 | no | — |
| 225 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 226 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 227 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 228 | C22⋊D71 | — | 4 | 4 | no | — |
| 229 | C22⋊D71 | — | 8 | 2 | no | — |
| 230 | C2×Dic71 | — | 4 | 1 | no | — |
| 231 | C2×Dic71 | — | 4 | 1 | no | — |
| 232 | C2×Dic71 | — | 8 | 2 | no | — |
| 233 | C2×Dic71 | C2×D8 | 1 | 1 | yes | characteristic |
| 234 | C2×Dic71 | C2×D8 | 1 | 1 | yes | characteristic |
| 235 | C2×Dic71 | C2×D8 | 1 | 1 | yes | characteristic |
| 236 | D284 | — | 2 | 2 | no | — |
| 237 | D284 | — | 4 | 1 | no | — |
| 238 | D284 | — | 4 | 1 | no | — |
| 239 | D284 | — | 4 | 1 | no | — |
| 240 | C4×D71 | — | 2 | 2 | no | — |
| 241 | C4×D71 | — | 2 | 2 | no | — |
| 242 | C4×D71 | — | 8 | 2 | no | — |
| 243 | C4×D71 | — | 8 | 2 | no | — |
| 244 | C4×D71 | — | 8 | 2 | no | — |
| 245 | C4×D71 | — | 8 | 2 | no | — |
| 246 | C4×D71 | #121 | 1 | 2 | yes | — |
| 247 | C4×D71 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 248 | Dic142 | — | 4 | 1 | no | — |
| 249 | Dic142 | — | 4 | 1 | no | — |
| 250 | Dic142 | — | 8 | 2 | no | — |
| 251 | C8×C71 | — | 2 | 1 | no | — |
| 252 | C8×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 253 | C8×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 254 | C71⋊C8 | — | 2 | 1 | no | — |
| 255 | C71⋊C8 | #121 | 1 | 2 | yes | — |
| 256 | C22×C71 | — | 4 | 2 | no | — |
| 257 | C22×C71 | — | 8 | 1 | no | — |
| 258 | C22×C71 | — | 8 | 1 | no | — |
| 259 | C22×C71 | — | 8 | 1 | no | — |
| 260 | C22×C71 | — | 8 | 1 | no | — |
| 261 | C22×C71 | — | 8 | 1 | no | — |
| 262 | C22×C71 | C22×D8 | 1 | 1 | yes | characteristic |
| 263 | C2×D71 | — | 4 | 2 | no | — |
| 264 | C2×D71 | — | 8 | 1 | no | — |
| 265 | C2×D71 | — | 8 | 1 | no | — |
| 266 | C2×D71 | — | 8 | 8 | no | — |
| 267 | C2×D71 | — | 8 | 1 | no | — |
| 268 | C2×D71 | — | 8 | 1 | no | — |
| 269 | C2×D71 | — | 8 | 1 | no | — |
| 270 | C2×D71 | — | 16 | 4 | no | — |
| 271 | C2×D71 | #459 | 1 | 2 | yes | — |
| 272 | C2×D71 | #508 | 1 | 2 | yes | — |
| 273 | C2×D71 | #509 | 1 | 2 | yes | — |
| 274 | C4×C71 | — | 2 | 1 | no | — |
| 275 | C4×C71 | — | 2 | 1 | no | — |
| 276 | C4×C71 | — | 8 | 1 | no | — |
| 277 | C4×C71 | — | 8 | 1 | no | — |
| 278 | C4×C71 | C2×#121 | 1 | 1 | yes | characteristic |
| 279 | C4×C71 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 280 | Dic71 | — | 2 | 1 | no | — |
| 281 | Dic71 | — | 2 | 1 | no | — |
| 282 | Dic71 | — | 8 | 1 | no | — |
| 283 | Dic71 | — | 8 | 1 | no | — |
| 284 | Dic71 | #459 | 1 | 2 | yes | — |
| 285 | C2×#2210 | — | 71 | 1 | no | maximal, Sylow |
| 286 | C2×C71 | — | 8 | 2 | no | — |
| 287 | C2×C71 | — | 16 | 1 | no | — |
| 288 | C2×C71 | C2×#459 | 1 | 1 | yes | characteristic |
| 289 | C2×C71 | C2×#508 | 1 | 1 | yes | characteristic |
| 290 | C2×C71 | C2×#509 | 1 | 1 | yes | characteristic |
| 291 | D71 | — | 8 | 2 | no | — |
| 292 | D71 | — | 16 | 1 | no | — |
| 293 | D71 | #2210 | 1 | 4 | yes | direct product factor |
| 294 | C22×SD32 | — | 71 | 1 | no | — |
| 295 | C22×D16 | — | 71 | 1 | no | — |
| 296 | C2×#495 | — | 71 | 1 | no | — |
| 297 | C2×C4×D8 | — | 71 | 1 | no | — |
| 298 | #2210 | — | 71 | 1 | no | — |
| 299 | #2210 | — | 71 | 1 | no | — |
| 300 | #2210 | — | 71 | 1 | no | — |
| 301 | #2210 | — | 71 | 1 | no | — |
| 302 | #2210 | — | 71 | 1 | no | — |
| 303 | #2210 | — | 71 | 1 | no | — |
| 304 | #2210 | — | 71 | 1 | no | — |
| 305 | #2210 | D71 | 1 | 1 | yes | characteristic, direct product factor |
| 306 | C2×C4⋊C16 | — | 71 | 1 | no | — |
| 307 | C2×#358 | — | 71 | 1 | no | — |
| 308 | C2×#357 | — | 71 | 1 | no | — |
| 309 | C71 | C2×#2210 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 310 | C22×Q16 | — | 71 | 1 | no | — |
| 311 | C22×SD16 | — | 142 | 1 | no | — |
| 312 | C22×D8 | — | 71 | 1 | no | — |
| 313 | C22×D8 | — | 71 | 1 | no | — |
| 314 | C2×#124 | — | 142 | 1 | no | — |
| 315 | C2×C4×D4 | — | 142 | 1 | no | — |
| 316 | C2×SD32 | — | 71 | 1 | no | — |
| 317 | C2×SD32 | — | 71 | 1 | no | — |
| 318 | C2×SD32 | — | 71 | 1 | no | — |
| 319 | C2×SD32 | — | 142 | 4 | no | — |
| 320 | C2×SD32 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 321 | C2×D16 | — | 71 | 1 | no | — |
| 322 | C2×D16 | — | 71 | 1 | no | — |
| 323 | C2×D16 | — | 71 | 1 | no | — |
| 324 | C2×D16 | — | 142 | 4 | no | — |
| 325 | C2×D16 | C2×D71 | 1 | 1 | yes | characteristic |
| 326 | C22×C16 | — | 71 | 1 | no | — |
| 327 | C22×C16 | — | 71 | 1 | no | — |
| 328 | #495 | — | 71 | 1 | no | — |
| 329 | #495 | — | 71 | 1 | no | — |
| 330 | #495 | — | 71 | 1 | no | — |
| 331 | #495 | — | 142 | 1 | no | — |
| 332 | #495 | — | 142 | 1 | no | — |
| 333 | #495 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 334 | C4×D8 | — | 71 | 1 | no | — |
| 335 | C4×D8 | — | 71 | 1 | no | — |
| 336 | C4×D8 | — | 71 | 1 | no | — |
| 337 | C4×D8 | — | 142 | 1 | no | — |
| 338 | C4×D8 | — | 142 | 1 | no | — |
| 339 | C4×D8 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 340 | C2×#107 | — | 71 | 1 | no | — |
| 341 | C2×#102 | — | 142 | 1 | no | — |
| 342 | C2×C4×C8 | — | 71 | 1 | no | — |
| 343 | C4⋊C16 | — | 71 | 1 | no | — |
| 344 | C4⋊C16 | — | 71 | 1 | no | — |
| 345 | C4⋊C16 | — | 71 | 1 | no | — |
| 346 | C4⋊C16 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 347 | #358 | — | 71 | 1 | no | — |
| 348 | #358 | — | 71 | 1 | no | — |
| 349 | #358 | — | 71 | 1 | no | — |
| 350 | #358 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 351 | #357 | — | 71 | 1 | no | — |
| 352 | #357 | — | 71 | 1 | no | — |
| 353 | #357 | — | 71 | 1 | no | — |
| 354 | #357 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 355 | C22×Q8 | — | 142 | 1 | no | — |
| 356 | C22×D4 | — | 142 | 1 | no | — |
| 357 | C22×D4 | — | 142 | 1 | no | — |
| 358 | C23×C4 | — | 284 | 1 | no | — |
| 359 | C2×Q16 | — | 71 | 1 | no | — |
| 360 | C2×Q16 | — | 142 | 2 | no | — |
| 361 | C2×Q16 | — | 142 | 2 | no | — |
| 362 | C2×Q16 | — | 142 | 1 | no | — |
| 363 | C2×Q16 | C22×D71 | 1 | 1 | yes | characteristic |
| 364 | C2×SD16 | — | 2 | 1 | no | — |
| 365 | C2×SD16 | — | 284 | 4 | no | — |
| 366 | C2×SD16 | — | 142 | 1 | no | — |
| 367 | C2×SD16 | — | 142 | 1 | no | — |
| 368 | C2×SD16 | — | 142 | 1 | no | — |
| 369 | C2×D8 | — | 71 | 4 | no | — |
| 370 | C2×D8 | — | 71 | 1 | no | — |
| 371 | C2×D8 | — | 71 | 1 | no | — |
| 372 | C2×D8 | — | 142 | 2 | no | — |
| 373 | C2×D8 | — | 142 | 2 | no | — |
| 374 | C2×D8 | — | 142 | 2 | no | — |
| 375 | C2×D8 | — | 142 | 1 | no | — |
| 376 | C2×D8 | — | 142 | 1 | no | — |
| 377 | C2×D8 | C22×D71 | 1 | 1 | yes | characteristic |
| 378 | C2×D8 | C22×D71 | 1 | 1 | yes | characteristic |
| 379 | C22×C8 | — | 71 | 1 | no | — |
| 380 | C22×C8 | — | 71 | 1 | no | — |
| 381 | #124 | — | 2 | 1 | no | — |
| 382 | #124 | — | 284 | 1 | no | — |
| 383 | #124 | — | 284 | 1 | no | — |
| 384 | #124 | — | 142 | 1 | no | — |
| 385 | #124 | — | 142 | 1 | no | — |
| 386 | #124 | — | 142 | 1 | no | — |
| 387 | C4×D4 | — | 2 | 1 | no | — |
| 388 | C4×D4 | — | 284 | 1 | no | — |
| 389 | C4×D4 | — | 284 | 1 | no | — |
| 390 | C4×D4 | — | 142 | 1 | no | — |
| 391 | C4×D4 | — | 142 | 1 | no | — |
| 392 | C4×D4 | — | 142 | 1 | no | — |
| 393 | C2×C4⋊C4 | — | 142 | 1 | no | — |
| 394 | C2×C22⋊C4 | — | 284 | 1 | no | — |
| 395 | C2×C22⋊C4 | — | 284 | 1 | no | — |
| 396 | C2×C22⋊C4 | — | 284 | 1 | no | — |
| 397 | C2×C42 | — | 71 | 1 | no | — |
| 398 | SD32 | — | 2 | 2 | no | — |
| 399 | SD32 | — | 142 | 2 | no | — |
| 400 | SD32 | — | 142 | 2 | no | — |
| 401 | SD32 | — | 142 | 2 | no | — |
| 402 | D16 | — | 2 | 2 | no | — |
| 403 | D16 | — | 142 | 2 | no | — |
| 404 | D16 | — | 142 | 2 | no | — |
| 405 | D16 | — | 142 | 2 | no | — |
| 406 | C2×C16 | — | 71 | 1 | no | — |
| 407 | C2×C16 | — | 71 | 1 | no | — |
| 408 | C2×C16 | — | 142 | 2 | no | — |
| 409 | C2×C16 | — | 142 | 2 | no | — |
| 410 | C2×C16 | C22×D71 | 1 | 1 | yes | characteristic |
| 411 | C2×C16 | C22×D71 | 1 | 1 | yes | characteristic |
| 412 | #107 | — | 71 | 1 | no | — |
| 413 | #107 | — | 142 | 1 | no | — |
| 414 | #107 | C22×D71 | 1 | 1 | yes | characteristic |
| 415 | #102 | — | 2 | 1 | no | — |
| 416 | #102 | — | 142 | 1 | no | — |
| 417 | #102 | — | 142 | 1 | no | — |
| 418 | #102 | — | 142 | 1 | no | — |
| 419 | C4×C8 | — | 71 | 1 | no | — |
| 420 | C4×C8 | — | 71 | 1 | no | — |
| 421 | C4×C8 | — | 71 | 1 | no | — |
| 422 | C4×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 423 | C24 | — | 284 | 1 | no | — |
| 424 | C24 | — | 284 | 1 | no | — |
| 425 | C2×Q8 | — | 2 | 1 | no | — |
| 426 | C2×Q8 | — | 284 | 1 | no | — |
| 427 | C2×Q8 | — | 284 | 2 | no | — |
| 428 | C2×Q8 | — | 284 | 2 | no | — |
| 429 | C2×Q8 | — | 142 | 1 | no | — |
| 430 | C2×D4 | — | 2 | 1 | no | — |
| 431 | C2×D4 | — | 2 | 1 | no | — |
| 432 | C2×D4 | — | 284 | 2 | no | — |
| 433 | C2×D4 | — | 284 | 2 | no | — |
| 434 | C2×D4 | — | 284 | 2 | no | — |
| 435 | C2×D4 | — | 284 | 1 | no | — |
| 436 | C2×D4 | — | 284 | 1 | no | — |
| 437 | C2×D4 | — | 142 | 4 | no | — |
| 438 | C2×D4 | — | 142 | 1 | no | — |
| 439 | C2×D4 | — | 142 | 1 | no | — |
| 440 | C22×C4 | — | 4 | 1 | no | — |
| 441 | C22×C4 | — | 284 | 1 | no | — |
| 442 | C22×C4 | — | 284 | 1 | no | — |
| 443 | C22×C4 | — | 284 | 1 | no | — |
| 444 | C22×C4 | — | 284 | 1 | no | — |
| 445 | C22×C4 | — | 284 | 1 | no | — |
| 446 | C22×C4 | — | 568 | 4 | no | — |
| 447 | C22×C4 | — | 71 | 1 | no | — |
| 448 | C22×C4 | — | 71 | 1 | no | — |
| 449 | C22×C4 | — | 71 | 1 | no | — |
| 450 | Q16 | — | 2 | 1 | no | — |
| 451 | Q16 | — | 2 | 1 | no | — |
| 452 | Q16 | — | 284 | 2 | no | — |
| 453 | Q16 | — | 142 | 1 | no | — |
| 454 | Q16 | — | 142 | 1 | no | — |
| 455 | SD16 | — | 4 | 2 | no | — |
| 456 | SD16 | — | 284 | 2 | no | — |
| 457 | SD16 | — | 284 | 2 | no | — |
| 458 | SD16 | — | 284 | 2 | no | — |
| 459 | D8 | — | 2 | 1 | no | — |
| 460 | D8 | — | 2 | 1 | no | — |
| 461 | D8 | — | 2 | 1 | no | — |
| 462 | D8 | — | 284 | 2 | no | — |
| 463 | D8 | — | 71 | 2 | no | — |
| 464 | D8 | — | 142 | 4 | no | — |
| 465 | D8 | — | 142 | 1 | no | — |
| 466 | D8 | — | 142 | 1 | no | — |
| 467 | D8 | — | 142 | 1 | no | — |
| 468 | D8 | D4×D71 | 1 | 2 | yes | — |
| 469 | C2×C8 | — | 71 | 1 | no | — |
| 470 | C2×C8 | — | 71 | 2 | no | — |
| 471 | C2×C8 | — | 71 | 2 | no | — |
| 472 | C2×C8 | — | 71 | 1 | no | — |
| 473 | C2×C8 | — | 142 | 2 | no | — |
| 474 | C2×C8 | D4×D71 | 1 | 1 | yes | characteristic |
| 475 | C2×C8 | C23×D71 | 1 | 1 | yes | characteristic |
| 476 | C4⋊C4 | — | 2 | 1 | no | — |
| 477 | C4⋊C4 | — | 284 | 1 | no | — |
| 478 | C4⋊C4 | — | 142 | 1 | no | — |
| 479 | C22⋊C4 | — | 4 | 1 | no | — |
| 480 | C22⋊C4 | — | 4 | 1 | no | — |
| 481 | C22⋊C4 | — | 4 | 1 | no | — |
| 482 | C22⋊C4 | — | 284 | 1 | no | — |
| 483 | C22⋊C4 | — | 284 | 1 | no | — |
| 484 | C22⋊C4 | — | 284 | 1 | no | — |
| 485 | C22⋊C4 | — | 284 | 1 | no | — |
| 486 | C22⋊C4 | — | 284 | 1 | no | — |
| 487 | C22⋊C4 | — | 284 | 1 | no | — |
| 488 | C22⋊C4 | — | 284 | 1 | no | — |
| 489 | C22⋊C4 | — | 284 | 1 | no | — |
| 490 | C22⋊C4 | — | 284 | 1 | no | — |
| 491 | C42 | — | 71 | 1 | no | — |
| 492 | C42 | — | 71 | 1 | no | — |
| 493 | C42 | — | 71 | 1 | no | — |
| 494 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 495 | C16 | — | 2 | 1 | no | — |
| 496 | C16 | — | 2 | 1 | no | — |
| 497 | C16 | — | 142 | 1 | no | — |
| 498 | C16 | — | 142 | 1 | no | — |
| 499 | C23 | — | 4 | 1 | no | — |
| 500 | C23 | — | 4 | 1 | no | — |
| 501 | C23 | — | 284 | 4 | no | — |
| 502 | C23 | — | 284 | 1 | no | — |
| 503 | C23 | — | 284 | 1 | no | — |
| 504 | C23 | — | 568 | 2 | no | — |
| 505 | C23 | — | 568 | 2 | no | — |
| 506 | C23 | — | 568 | 2 | no | — |
| 507 | C23 | — | 568 | 2 | no | — |
| 508 | C23 | — | 568 | 2 | no | — |
| 509 | C23 | — | 71 | 1 | no | — |
| 510 | Q8 | — | 4 | 1 | no | — |
| 511 | Q8 | — | 4 | 1 | no | — |
| 512 | Q8 | — | 284 | 1 | no | — |
| 513 | Q8 | — | 284 | 1 | no | — |
| 514 | Q8 | — | 568 | 2 | no | — |
| 515 | D4 | — | 2 | 2 | no | — |
| 516 | D4 | — | 4 | 1 | no | — |
| 517 | D4 | — | 4 | 1 | no | — |
| 518 | D4 | — | 4 | 1 | no | — |
| 519 | D4 | — | 284 | 4 | no | — |
| 520 | D4 | — | 284 | 1 | no | — |
| 521 | D4 | — | 284 | 1 | no | — |
| 522 | D4 | — | 284 | 1 | no | — |
| 523 | D4 | — | 568 | 2 | no | — |
| 524 | D4 | — | 142 | 2 | no | — |
| 525 | C2×C4 | — | 4 | 1 | no | — |
| 526 | C2×C4 | — | 4 | 1 | no | — |
| 527 | C2×C4 | — | 8 | 2 | no | — |
| 528 | C2×C4 | — | 284 | 1 | no | — |
| 529 | C2×C4 | — | 284 | 1 | no | — |
| 530 | C2×C4 | — | 568 | 2 | no | — |
| 531 | C2×C4 | — | 568 | 2 | no | — |
| 532 | C2×C4 | — | 568 | 2 | no | — |
| 533 | C2×C4 | — | 568 | 2 | no | — |
| 534 | C2×C4 | — | 568 | 2 | no | — |
| 535 | C2×C4 | — | 71 | 1 | no | — |
| 536 | C2×C4 | — | 71 | 2 | no | — |
| 537 | C2×C4 | — | 71 | 2 | no | — |
| 538 | C2×C4 | — | 71 | 1 | no | — |
| 539 | C2×C4 | — | 71 | 1 | no | — |
| 540 | C2×C4 | — | 142 | 2 | no | — |
| 541 | C2×C4 | — | 142 | 2 | no | — |
| 542 | C2×C4 | D8×D71 | 1 | 1 | yes | characteristic |
| 543 | C2×C4 | D8×D71 | 1 | 1 | yes | characteristic |
| 544 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 545 | C8 | — | 2 | 1 | no | — |
| 546 | C8 | — | 71 | 2 | no | — |
| 547 | C8 | — | 142 | 1 | no | — |
| 548 | C8 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 549 | C8 | #41×D71 | 1 | 1 | yes | characteristic |
| 550 | C22 | — | 4 | 2 | no | — |
| 551 | C22 | — | 8 | 1 | no | — |
| 552 | C22 | — | 8 | 1 | no | — |
| 553 | C22 | — | 8 | 1 | no | — |
| 554 | C22 | — | 8 | 1 | no | — |
| 555 | C22 | — | 8 | 1 | no | — |
| 556 | C22 | — | 284 | 2 | no | — |
| 557 | C22 | — | 568 | 8 | no | — |
| 558 | C22 | — | 568 | 1 | no | — |
| 559 | C22 | — | 568 | 1 | no | — |
| 560 | C22 | — | 568 | 1 | no | — |
| 561 | C22 | — | 568 | 1 | no | — |
| 562 | C22 | — | 568 | 1 | no | — |
| 563 | C22 | — | 71 | 2 | no | — |
| 564 | C22 | — | 71 | 2 | no | — |
| 565 | C22 | — | 71 | 2 | no | — |
| 566 | C22 | — | 1136 | 4 | no | — |
| 567 | C22 | C2×D8×D71 | 1 | 1 | yes | characteristic |
| 568 | C4 | — | 2 | 1 | no | — |
| 569 | C4 | — | 2 | 1 | no | — |
| 570 | C4 | — | 8 | 1 | no | — |
| 571 | C4 | — | 8 | 1 | no | — |
| 572 | C4 | — | 568 | 1 | no | — |
| 573 | C4 | — | 568 | 1 | no | — |
| 574 | C4 | — | 71 | 2 | no | — |
| 575 | C4 | — | 142 | 1 | no | — |
| 576 | C4 | — | 142 | 1 | no | — |
| 577 | C4 | #121×D71 | 1 | 1 | yes | characteristic |
| 578 | C4 | AGL(1,ℤ/8)×D71 | 1 | 1 | yes | characteristic |
| 579 | C2 | — | 8 | 2 | no | — |
| 580 | C2 | — | 16 | 1 | no | — |
| 581 | C2 | — | 568 | 2 | no | — |
| 582 | C2 | — | 71 | 4 | no | — |
| 583 | C2 | — | 1136 | 1 | no | — |
| 584 | C2 | #459×D71 | 1 | 1 | yes | characteristic |
| 585 | C2 | #508×D71 | 1 | 1 | yes | characteristic |
| 586 | C2 | #509×D71 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta