| 1 | #22600758 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22600585 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22600576 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22600012 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22587930 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22587876 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22587871 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22587738 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22587693 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22587458 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22587454 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22587425 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22587222 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22587132 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#1624 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×D8×D71 | — | 2 | 1 | no | — |
| 17 | #17986714 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | D4×D284 | C22 | 1 | 1 | yes | characteristic |
| 19 | #17986634 | C22 | 1 | 1 | yes | characteristic |
| 20 | #17986402 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #17986375 | C22 | 1 | 1 | yes | characteristic |
| 22 | #17986372 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #17986347 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #17986345 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #17986323 | — | 2 | 1 | no | — |
| 26 | #17986323 | — | 2 | 1 | no | — |
| 27 | #17986322 | — | 2 | 1 | no | — |
| 28 | #17986320 | — | 2 | 1 | no | — |
| 29 | #17986290 | C22 | 1 | 1 | yes | characteristic |
| 30 | #17986289 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #17986286 | C22 | 1 | 1 | yes | characteristic |
| 32 | #17986286 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #17986250 | — | 2 | 1 | no | — |
| 34 | #17986249 | — | 2 | 1 | no | — |
| 35 | #17986234 | — | 2 | 1 | no | — |
| 36 | #17986233 | — | 2 | 1 | no | — |
| 37 | #17986195 | C22 | 1 | 1 | yes | characteristic |
| 38 | #17986194 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #17986134 | — | 2 | 1 | no | — |
| 40 | #17986132 | — | 2 | 1 | no | — |
| 41 | #17986131 | — | 2 | 1 | no | — |
| 42 | #17986131 | — | 2 | 1 | no | — |
| 43 | C4×#11765850 | C22 | 1 | 1 | yes | characteristic |
| 44 | C4×#11765850 | C22 | 1 | 1 | yes | characteristic |
| 45 | #17986077 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #17986076 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | D4×C71⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #17986064 | C22 | 1 | 1 | yes | characteristic |
| 49 | #17986035 | — | 2 | 1 | no | — |
| 50 | #17986003 | — | 2 | 1 | no | — |
| 51 | #17986002 | — | 2 | 1 | no | — |
| 52 | #17985751 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #17985751 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #17985747 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #17985743 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #17985742 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #17985728 | C22 | 1 | 1 | yes | characteristic |
| 58 | #17985728 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C8×C71⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #555×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #492×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #459×C71 | C22 | 1 | 1 | yes | characteristic |
| 63 | #459×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #333×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | D4⋊C8×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | D4⋊C8×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | C22×D284 | — | 2 | 1 | no | — |
| 68 | C2×D4×D71 | — | 2 | 1 | no | — |
| 69 | C2×D4×D71 | — | 2 | 1 | no | — |
| 70 | C2×D4×D71 | — | 2 | 1 | no | — |
| 71 | C2×#11765854 | — | 4 | 1 | no | — |
| 72 | C2×D568 | — | 2 | 1 | no | — |
| 73 | C2×#11765850 | — | 2 | 1 | no | — |
| 74 | C2×#11765850 | — | 2 | 1 | no | — |
| 75 | C2×#11765850 | — | 2 | 1 | no | — |
| 76 | C2×#11765850 | D4 | 1 | 1 | yes | characteristic |
| 77 | C2×#11765850 | D4 | 1 | 1 | yes | characteristic |
| 78 | D8×D71 | — | 4 | 4 | no | — |
| 79 | C2×#11765849 | — | 2 | 1 | no | — |
| 80 | C2×#11765848 | — | 2 | 1 | no | — |
| 81 | C22×C71⋊C8 | — | 2 | 1 | no | — |
| 82 | C2×C8×D71 | — | 2 | 1 | no | — |
| 83 | #14556128 | C23 | 1 | 1 | yes | characteristic |
| 84 | #14556125 | C23 | 1 | 1 | yes | characteristic |
| 85 | #14556114 | — | 4 | 1 | no | — |
| 86 | #14556103 | — | 2 | 1 | no | — |
| 87 | #14556102 | — | 2 | 1 | no | — |
| 88 | #14556102 | — | 2 | 1 | no | — |
| 89 | #14556099 | — | 2 | 1 | no | — |
| 90 | #14556099 | — | 2 | 1 | no | — |
| 91 | #14556099 | — | 2 | 1 | no | — |
| 92 | #14556098 | — | 4 | 1 | no | — |
| 93 | #14556096 | — | 4 | 1 | no | — |
| 94 | C4×D284 | C23 | 1 | 1 | yes | characteristic |
| 95 | C4×D284 | C23 | 1 | 1 | yes | characteristic |
| 96 | #14556087 | — | 2 | 1 | no | — |
| 97 | #14556086 | — | 2 | 1 | no | — |
| 98 | #14556061 | — | 2 | 1 | no | — |
| 99 | #14556061 | — | 2 | 1 | no | — |
| 100 | #14556061 | D4 | 1 | 1 | yes | characteristic |
| 101 | #14556061 | D4 | 1 | 1 | yes | characteristic |
| 102 | #14556060 | — | 2 | 1 | no | — |
| 103 | #14556059 | — | 2 | 1 | no | — |
| 104 | #14556059 | — | 2 | 1 | no | — |
| 105 | #14556059 | — | 2 | 1 | no | — |
| 106 | C4⋊(C71⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 107 | C4⋊(C71⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 108 | #14556050 | — | 2 | 1 | no | — |
| 109 | #14556050 | — | 2 | 1 | no | — |
| 110 | #14556049 | — | 2 | 1 | no | — |
| 111 | #14556049 | — | 2 | 1 | no | — |
| 112 | #14556049 | — | 2 | 1 | no | — |
| 113 | #14556049 | D4 | 1 | 1 | yes | characteristic |
| 114 | #14556049 | D4 | 1 | 1 | yes | characteristic |
| 115 | #14556048 | — | 2 | 1 | no | — |
| 116 | #14556048 | — | 2 | 1 | no | — |
| 117 | #14556048 | — | 2 | 1 | no | — |
| 118 | #14556048 | — | 2 | 1 | no | — |
| 119 | #14556048 | — | 2 | 1 | no | — |
| 120 | #14556048 | D4 | 1 | 1 | yes | characteristic |
| 121 | #14556048 | D4 | 1 | 1 | yes | characteristic |
| 122 | C22⋊(C71⋊C8) | — | 2 | 1 | no | — |
| 123 | C22⋊(C71⋊C8) | — | 2 | 1 | no | — |
| 124 | (C2×D71)⋊C8 | — | 2 | 1 | no | — |
| 125 | (C2×D71)⋊C8 | — | 2 | 1 | no | — |
| 126 | C4×C71⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 127 | C4×C71⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×SD16×C71 | — | 4 | 1 | no | — |
| 129 | C2×D8×C71 | — | 2 | 1 | no | — |
| 130 | C2×D8×C71 | — | 2 | 1 | no | — |
| 131 | C4⋊Q8×C71 | C23 | 1 | 1 | yes | characteristic |
| 132 | #127×C71 | C23 | 1 | 1 | yes | characteristic |
| 133 | #124×C71 | — | 4 | 1 | no | — |
| 134 | #121×C71 | — | 2 | 1 | no | — |
| 135 | #121×C71 | — | 2 | 1 | no | — |
| 136 | C4×D4×C71 | C23 | 1 | 1 | yes | characteristic |
| 137 | C4×D4×C71 | C23 | 1 | 1 | yes | characteristic |
| 138 | #117×C71 | — | 2 | 1 | no | — |
| 139 | #117×C71 | — | 2 | 1 | no | — |
| 140 | C4⋊C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 141 | C4⋊C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 142 | #102×C71 | — | 2 | 1 | no | — |
| 143 | #102×C71 | — | 2 | 1 | no | — |
| 144 | C4×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 145 | C23×D71 | — | 4 | 1 | no | — |
| 146 | C23×D71 | — | 4 | 1 | no | — |
| 147 | C2×Dic142 | — | 2 | 1 | no | — |
| 148 | C2×D284 | — | 2 | 1 | no | — |
| 149 | C2×D284 | — | 2 | 1 | no | — |
| 150 | C2×D284 | — | 2 | 1 | no | — |
| 151 | C2×D284 | — | 4 | 2 | no | — |
| 152 | C2×D284 | — | 4 | 1 | no | — |
| 153 | C2×D284 | — | 8 | 1 | no | — |
| 154 | C2×D284 | C2×D4 | 1 | 1 | yes | characteristic |
| 155 | C2×D284 | C2×D4 | 1 | 1 | yes | characteristic |
| 156 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 157 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 158 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 159 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 160 | D4×D71 | — | 4 | 2 | no | — |
| 161 | D4×D71 | — | 4 | 2 | no | — |
| 162 | D4×D71 | — | 4 | 2 | no | — |
| 163 | D4×D71 | — | 8 | 1 | no | — |
| 164 | D4×D71 | — | 8 | 1 | no | — |
| 165 | D4×D71 | — | 8 | 1 | no | — |
| 166 | C2×C4×D71 | — | 2 | 1 | no | — |
| 167 | C2×C4×D71 | — | 2 | 1 | no | — |
| 168 | #11765854 | — | 8 | 2 | no | — |
| 169 | D568 | — | 4 | 2 | no | — |
| 170 | #11765850 | — | 2 | 2 | no | — |
| 171 | #11765850 | — | 2 | 2 | no | — |
| 172 | #11765850 | — | 4 | 2 | no | — |
| 173 | #11765850 | — | 8 | 1 | no | — |
| 174 | #11765850 | — | 8 | 1 | no | — |
| 175 | #11765849 | — | 8 | 1 | no | — |
| 176 | #11765848 | — | 8 | 1 | no | — |
| 177 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 178 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 179 | C2×C71⋊C8 | — | 4 | 2 | no | — |
| 180 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C8×D71 | — | 4 | 2 | no | — |
| 185 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 186 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 187 | C4⋊Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | C4⋊Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 190 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 191 | (C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 192 | (C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 193 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 194 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 195 | C4×Dic71 | — | 4 | 1 | no | — |
| 196 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 197 | C2×D4×C71 | — | 2 | 1 | no | — |
| 198 | C2×D4×C71 | — | 2 | 1 | no | — |
| 199 | C2×D4×C71 | — | 2 | 1 | no | — |
| 200 | C2×D4×C71 | — | 4 | 1 | no | — |
| 201 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C22×C4×C71 | — | 2 | 1 | no | — |
| 204 | C22×C4×C71 | — | 2 | 1 | no | — |
| 205 | SD16×C71 | — | 8 | 2 | no | — |
| 206 | D8×C71 | — | 4 | 2 | no | — |
| 207 | D8×C71 | — | 8 | 1 | no | — |
| 208 | C2×C8×C71 | — | 2 | 1 | no | — |
| 209 | C2×C8×C71 | — | 2 | 1 | no | — |
| 210 | C2×C8×C71 | — | 2 | 1 | no | — |
| 211 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 212 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 213 | C4⋊C4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | C4⋊C4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 216 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 217 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 218 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 219 | C42×C71 | — | 4 | 1 | no | — |
| 220 | C42×C71 | C24 | 1 | 1 | yes | characteristic |
| 221 | C23×C71 | — | 2 | 1 | no | — |
| 222 | C23×C71 | — | 2 | 1 | no | — |
| 223 | C23×C71 | — | 4 | 1 | no | — |
| 224 | C22×D71 | — | 2 | 1 | no | — |
| 225 | C22×D71 | — | 2 | 1 | no | — |
| 226 | C22×D71 | — | 4 | 1 | no | — |
| 227 | C22×D71 | — | 8 | 2 | no | — |
| 228 | C22×D71 | — | 8 | 2 | no | — |
| 229 | C22×D71 | — | 8 | 2 | no | — |
| 230 | C22×D71 | — | 8 | 2 | no | — |
| 231 | C22×D71 | — | 16 | 1 | no | — |
| 232 | C22×D71 | — | 16 | 1 | no | — |
| 233 | Q8×C71 | — | 8 | 1 | no | — |
| 234 | D4×C71 | — | 2 | 1 | no | — |
| 235 | D4×C71 | — | 2 | 1 | no | — |
| 236 | D4×C71 | — | 2 | 1 | no | — |
| 237 | D4×C71 | — | 2 | 1 | no | — |
| 238 | D4×C71 | — | 4 | 1 | no | — |
| 239 | D4×C71 | — | 4 | 1 | no | — |
| 240 | D4×C71 | — | 4 | 1 | no | — |
| 241 | D4×C71 | — | 4 | 1 | no | — |
| 242 | D4×C71 | — | 8 | 1 | no | — |
| 243 | D4×C71 | — | 16 | 1 | no | — |
| 244 | C2×C4×C71 | — | 2 | 1 | no | — |
| 245 | C2×C4×C71 | — | 2 | 1 | no | — |
| 246 | C2×C4×C71 | — | 4 | 1 | no | — |
| 247 | C2×C4×C71 | — | 4 | 1 | no | — |
| 248 | C2×C4×C71 | — | 4 | 1 | no | — |
| 249 | C2×C4×C71 | — | 4 | 1 | no | — |
| 250 | C2×C4×C71 | — | 4 | 1 | no | — |
| 251 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 252 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 253 | C2×C4×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 254 | C22⋊D71 | — | 8 | 2 | no | — |
| 255 | C22⋊D71 | — | 8 | 2 | no | — |
| 256 | C22⋊D71 | — | 8 | 2 | no | — |
| 257 | C22⋊D71 | — | 16 | 1 | no | — |
| 258 | C2×Dic71 | — | 2 | 1 | no | — |
| 259 | C2×Dic71 | — | 2 | 1 | no | — |
| 260 | C2×Dic71 | — | 4 | 1 | no | — |
| 261 | D284 | — | 2 | 1 | no | — |
| 262 | D284 | — | 2 | 1 | no | — |
| 263 | D284 | — | 2 | 1 | no | — |
| 264 | D284 | — | 4 | 1 | no | — |
| 265 | D284 | — | 4 | 1 | no | — |
| 266 | D284 | — | 4 | 1 | no | — |
| 267 | D284 | — | 4 | 1 | no | — |
| 268 | D284 | — | 8 | 1 | no | — |
| 269 | D284 | — | 8 | 2 | no | — |
| 270 | D284 | #135 | 1 | 2 | yes | — |
| 271 | C4×D71 | — | 4 | 1 | no | — |
| 272 | C4×D71 | — | 4 | 1 | no | — |
| 273 | C4×D71 | — | 4 | 1 | no | — |
| 274 | C4×D71 | — | 4 | 1 | no | — |
| 275 | Dic142 | — | 8 | 1 | no | — |
| 276 | C8×C71 | — | 2 | 2 | no | — |
| 277 | C8×C71 | — | 4 | 1 | no | — |
| 278 | C8×C71 | — | 4 | 1 | no | — |
| 279 | C71⋊C8 | — | 2 | 1 | no | — |
| 280 | C71⋊C8 | — | 2 | 1 | no | — |
| 281 | C71⋊C8 | — | 2 | 1 | no | — |
| 282 | C71⋊C8 | — | 4 | 1 | no | — |
| 283 | C71⋊C8 | — | 4 | 1 | no | — |
| 284 | C71⋊C8 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 285 | C22×C71 | — | 4 | 1 | no | — |
| 286 | C22×C71 | — | 4 | 1 | no | — |
| 287 | C22×C71 | — | 4 | 1 | no | — |
| 288 | C22×C71 | — | 4 | 1 | no | — |
| 289 | C22×C71 | — | 4 | 1 | no | — |
| 290 | C22×C71 | — | 4 | 1 | no | — |
| 291 | C22×C71 | — | 8 | 1 | no | — |
| 292 | C22×C71 | — | 8 | 1 | no | — |
| 293 | C22×C71 | — | 8 | 1 | no | — |
| 294 | C22×C71 | D42 | 1 | 1 | yes | characteristic |
| 295 | C2×D71 | — | 2 | 2 | no | — |
| 296 | C2×D71 | — | 4 | 1 | no | — |
| 297 | C2×D71 | — | 4 | 1 | no | — |
| 298 | C2×D71 | — | 4 | 1 | no | — |
| 299 | C2×D71 | — | 4 | 1 | no | — |
| 300 | C2×D71 | — | 4 | 1 | no | — |
| 301 | C2×D71 | — | 8 | 1 | no | — |
| 302 | C2×D71 | — | 8 | 1 | no | — |
| 303 | C2×D71 | — | 8 | 1 | no | — |
| 304 | C2×D71 | — | 16 | 4 | no | — |
| 305 | C2×D71 | — | 16 | 4 | no | — |
| 306 | C4×C71 | — | 2 | 1 | no | — |
| 307 | C4×C71 | — | 4 | 1 | no | — |
| 308 | C4×C71 | — | 4 | 1 | no | — |
| 309 | C4×C71 | — | 8 | 1 | no | — |
| 310 | C4×C71 | C2×#135 | 1 | 1 | yes | characteristic |
| 311 | C4×C71 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 312 | C4×C71 | #576 | 1 | 1 | yes | characteristic |
| 313 | C4×C71 | #577 | 1 | 1 | yes | characteristic |
| 314 | Dic71 | — | 4 | 1 | no | — |
| 315 | Dic71 | — | 4 | 1 | no | — |
| 316 | Dic71 | — | 8 | 1 | no | — |
| 317 | #19898 | — | 71 | 1 | no | maximal, Sylow |
| 318 | C2×C71 | — | 8 | 1 | no | — |
| 319 | C2×C71 | — | 8 | 1 | no | — |
| 320 | C2×C71 | — | 16 | 1 | no | — |
| 321 | C2×C71 | #3272 | 1 | 1 | yes | characteristic |
| 322 | C2×C71 | #3280 | 1 | 1 | yes | characteristic |
| 323 | C2×C71 | #3292 | 1 | 1 | yes | characteristic |
| 324 | D71 | — | 4 | 2 | no | — |
| 325 | D71 | — | 8 | 1 | no | — |
| 326 | D71 | — | 16 | 1 | no | — |
| 327 | #3341 | — | 71 | 1 | no | — |
| 328 | #3325 | — | 71 | 1 | no | — |
| 329 | #3325 | — | 71 | 1 | no | — |
| 330 | D4×D8 | — | 71 | 1 | no | — |
| 331 | #1706 | — | 71 | 1 | no | — |
| 332 | #1697 | — | 71 | 1 | no | — |
| 333 | #1697 | — | 71 | 1 | no | — |
| 334 | #1675 | — | 71 | 1 | no | — |
| 335 | #1667 | — | 71 | 1 | no | — |
| 336 | #1629 | — | 71 | 1 | no | — |
| 337 | #1629 | — | 71 | 1 | no | — |
| 338 | #1624 | — | 71 | 1 | no | — |
| 339 | #1624 | D71 | 1 | 1 | yes | characteristic, complemented |
| 340 | #1589 | — | 71 | 1 | no | — |
| 341 | C8×D8 | — | 71 | 1 | no | — |
| 342 | C71 | #19898 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 343 | C22×D8 | — | 142 | 1 | no | — |
| 344 | #555 | — | 71 | 1 | no | — |
| 345 | #555 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 346 | D42 | — | 71 | 1 | no | — |
| 347 | D42 | — | 71 | 1 | no | — |
| 348 | #500 | — | 71 | 1 | no | — |
| 349 | #493 | — | 71 | 1 | no | — |
| 350 | #492 | — | 71 | 1 | no | — |
| 351 | #492 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 352 | #486 | — | 71 | 1 | no | — |
| 353 | #486 | — | 71 | 1 | no | — |
| 354 | #482 | — | 142 | 1 | no | — |
| 355 | #482 | — | 142 | 1 | no | — |
| 356 | #482 | — | 142 | 1 | no | — |
| 357 | #482 | — | 142 | 1 | no | — |
| 358 | #476 | — | 71 | 1 | no | — |
| 359 | #476 | — | 71 | 1 | no | — |
| 360 | #476 | — | 71 | 1 | no | — |
| 361 | #476 | — | 71 | 1 | no | — |
| 362 | #469 | — | 142 | 1 | no | — |
| 363 | #469 | — | 142 | 1 | no | — |
| 364 | #466 | — | 142 | 1 | no | — |
| 365 | #466 | — | 142 | 1 | no | — |
| 366 | #459 | — | 71 | 1 | no | — |
| 367 | #459 | — | 71 | 1 | no | — |
| 368 | #459 | C2×D71 | 1 | 1 | yes | characteristic |
| 369 | #459 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 370 | #447 | — | 142 | 1 | no | — |
| 371 | #447 | — | 142 | 1 | no | — |
| 372 | #447 | — | 142 | 1 | no | — |
| 373 | #447 | — | 142 | 1 | no | — |
| 374 | C4×D8 | — | 71 | 1 | no | — |
| 375 | C4×D8 | — | 71 | 1 | no | — |
| 376 | #436 | — | 71 | 1 | no | — |
| 377 | #436 | — | 71 | 1 | no | — |
| 378 | C8×D4 | — | 71 | 1 | no | — |
| 379 | C8×D4 | — | 71 | 1 | no | — |
| 380 | #427 | — | 142 | 1 | no | — |
| 381 | #418 | — | 142 | 1 | no | — |
| 382 | #418 | — | 142 | 1 | no | — |
| 383 | #335 | — | 71 | 1 | no | — |
| 384 | #335 | — | 71 | 1 | no | — |
| 385 | #333 | — | 71 | 1 | no | — |
| 386 | #333 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 387 | #331 | — | 71 | 1 | no | — |
| 388 | #331 | — | 71 | 1 | no | — |
| 389 | D4⋊C8 | — | 71 | 1 | no | — |
| 390 | D4⋊C8 | — | 71 | 1 | no | — |
| 391 | D4⋊C8 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 392 | D4⋊C8 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 393 | C82 | — | 71 | 1 | no | — |
| 394 | C22×D4 | — | 142 | 1 | no | — |
| 395 | C22×D4 | — | 142 | 1 | no | — |
| 396 | C22×D4 | — | 142 | 1 | no | — |
| 397 | C22×D4 | — | 142 | 1 | no | — |
| 398 | C2×SD16 | — | 4 | 1 | no | — |
| 399 | C2×SD16 | — | 284 | 1 | no | — |
| 400 | C2×D8 | — | 2 | 1 | no | — |
| 401 | C2×D8 | — | 2 | 1 | no | — |
| 402 | C2×D8 | — | 284 | 4 | no | — |
| 403 | C2×D8 | — | 71 | 1 | no | — |
| 404 | C2×D8 | — | 71 | 1 | no | — |
| 405 | C2×D8 | — | 142 | 1 | no | — |
| 406 | C2×D8 | — | 142 | 1 | no | — |
| 407 | C2×D8 | — | 142 | 1 | no | — |
| 408 | C2×D8 | — | 142 | 1 | no | — |
| 409 | C2×M16 | — | 142 | 1 | no | — |
| 410 | C2×M16 | — | 142 | 1 | no | — |
| 411 | C22×C8 | — | 142 | 1 | no | — |
| 412 | C22×C8 | — | 142 | 1 | no | — |
| 413 | C4⋊Q8 | — | 71 | 1 | no | — |
| 414 | C4⋊Q8 | C22×D71 | 1 | 1 | yes | characteristic |
| 415 | #127 | — | 71 | 1 | no | — |
| 416 | #127 | C22×D71 | 1 | 1 | yes | characteristic |
| 417 | #124 | — | 4 | 1 | no | — |
| 418 | #124 | — | 284 | 1 | no | — |
| 419 | #121 | — | 2 | 1 | no | — |
| 420 | #121 | — | 2 | 1 | no | — |
| 421 | #121 | — | 142 | 1 | no | — |
| 422 | #121 | — | 142 | 1 | no | — |
| 423 | #121 | — | 142 | 1 | no | — |
| 424 | #121 | — | 142 | 1 | no | — |
| 425 | #121 | — | 142 | 1 | no | — |
| 426 | #121 | — | 142 | 1 | no | — |
| 427 | #120 | — | 284 | 1 | no | — |
| 428 | #120 | — | 284 | 1 | no | — |
| 429 | C4×D4 | — | 71 | 1 | no | — |
| 430 | C4×D4 | — | 71 | 1 | no | — |
| 431 | C4×D4 | C22×D71 | 1 | 1 | yes | characteristic |
| 432 | C4×D4 | C22×D71 | 1 | 1 | yes | characteristic |
| 433 | #117 | — | 2 | 1 | no | — |
| 434 | #117 | — | 2 | 1 | no | — |
| 435 | #117 | — | 142 | 1 | no | — |
| 436 | #117 | — | 142 | 1 | no | — |
| 437 | #107 | — | 71 | 1 | no | — |
| 438 | #107 | — | 71 | 1 | no | — |
| 439 | #107 | — | 142 | 1 | no | — |
| 440 | #107 | — | 142 | 1 | no | — |
| 441 | #106 | — | 142 | 1 | no | — |
| 442 | #106 | — | 142 | 1 | no | — |
| 443 | #106 | — | 142 | 1 | no | — |
| 444 | #106 | — | 142 | 1 | no | — |
| 445 | C4⋊C8 | — | 71 | 1 | no | — |
| 446 | C4⋊C8 | — | 71 | 1 | no | — |
| 447 | C4⋊C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 448 | C4⋊C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 449 | #102 | — | 2 | 1 | no | — |
| 450 | #102 | — | 2 | 1 | no | — |
| 451 | #102 | — | 71 | 1 | no | — |
| 452 | #102 | — | 71 | 1 | no | — |
| 453 | #102 | — | 71 | 1 | no | — |
| 454 | #102 | — | 71 | 1 | no | — |
| 455 | #102 | — | 142 | 1 | no | — |
| 456 | #102 | — | 142 | 1 | no | — |
| 457 | #102 | — | 142 | 1 | no | — |
| 458 | #102 | — | 142 | 1 | no | — |
| 459 | #102 | — | 142 | 1 | no | — |
| 460 | #102 | — | 142 | 1 | no | — |
| 461 | #102 | — | 142 | 1 | no | — |
| 462 | #102 | — | 142 | 1 | no | — |
| 463 | #102 | — | 142 | 1 | no | — |
| 464 | #102 | — | 142 | 1 | no | — |
| 465 | C22⋊C8 | — | 142 | 1 | no | — |
| 466 | C22⋊C8 | — | 142 | 1 | no | — |
| 467 | C22⋊C8 | — | 142 | 1 | no | — |
| 468 | C22⋊C8 | — | 142 | 1 | no | — |
| 469 | C4×C8 | — | 71 | 1 | no | — |
| 470 | C4×C8 | — | 71 | 1 | no | — |
| 471 | C4×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 472 | C24 | — | 284 | 1 | no | — |
| 473 | C24 | — | 284 | 1 | no | — |
| 474 | C2×Q8 | — | 2 | 1 | no | — |
| 475 | C2×Q8 | — | 142 | 1 | no | — |
| 476 | C2×D4 | — | 2 | 1 | no | — |
| 477 | C2×D4 | — | 2 | 1 | no | — |
| 478 | C2×D4 | — | 2 | 1 | no | — |
| 479 | C2×D4 | — | 4 | 1 | no | — |
| 480 | C2×D4 | — | 284 | 1 | no | — |
| 481 | C2×D4 | — | 284 | 2 | no | — |
| 482 | C2×D4 | — | 284 | 2 | no | — |
| 483 | C2×D4 | — | 284 | 2 | no | — |
| 484 | C2×D4 | — | 284 | 2 | no | — |
| 485 | C2×D4 | — | 284 | 1 | no | — |
| 486 | C2×D4 | — | 284 | 1 | no | — |
| 487 | C2×D4 | — | 284 | 1 | no | — |
| 488 | C2×D4 | — | 284 | 1 | no | — |
| 489 | C2×D4 | — | 568 | 1 | no | — |
| 490 | C2×D4 | — | 568 | 1 | no | — |
| 491 | C2×D4 | — | 568 | 1 | no | — |
| 492 | C2×D4 | — | 568 | 1 | no | — |
| 493 | C2×D4 | — | 71 | 1 | no | — |
| 494 | C2×D4 | — | 71 | 1 | no | — |
| 495 | C2×D4 | — | 142 | 1 | no | — |
| 496 | C2×D4 | — | 142 | 1 | no | — |
| 497 | C2×D4 | — | 142 | 1 | no | — |
| 498 | C2×D4 | D4×D71 | 1 | 1 | yes | characteristic |
| 499 | C2×D4 | D4×D71 | 1 | 1 | yes | characteristic |
| 500 | C22×C4 | — | 2 | 1 | no | — |
| 501 | C22×C4 | — | 2 | 1 | no | — |
| 502 | C22×C4 | — | 142 | 1 | no | — |
| 503 | C22×C4 | — | 142 | 1 | no | — |
| 504 | SD16 | — | 8 | 2 | no | — |
| 505 | SD16 | — | 568 | 2 | no | — |
| 506 | D8 | — | 4 | 2 | no | — |
| 507 | D8 | — | 8 | 1 | no | — |
| 508 | D8 | — | 284 | 2 | no | — |
| 509 | D8 | — | 284 | 2 | no | — |
| 510 | D8 | — | 568 | 1 | no | — |
| 511 | D8 | — | 568 | 1 | no | — |
| 512 | D8 | — | 142 | 2 | no | — |
| 513 | D8 | — | 142 | 2 | no | — |
| 514 | M16 | — | 568 | 1 | no | — |
| 515 | M16 | — | 568 | 1 | no | — |
| 516 | C2×C8 | — | 2 | 1 | no | — |
| 517 | C2×C8 | — | 2 | 1 | no | — |
| 518 | C2×C8 | — | 2 | 1 | no | — |
| 519 | C2×C8 | — | 284 | 2 | no | — |
| 520 | C2×C8 | — | 284 | 2 | no | — |
| 521 | C2×C8 | — | 71 | 1 | no | — |
| 522 | C2×C8 | — | 71 | 1 | no | — |
| 523 | C2×C8 | — | 71 | 1 | no | — |
| 524 | C2×C8 | — | 71 | 1 | no | — |
| 525 | C2×C8 | — | 142 | 1 | no | — |
| 526 | C2×C8 | — | 142 | 1 | no | — |
| 527 | C4⋊C4 | — | 2 | 1 | no | — |
| 528 | C4⋊C4 | — | 2 | 1 | no | — |
| 529 | C4⋊C4 | — | 71 | 1 | no | — |
| 530 | C4⋊C4 | — | 71 | 1 | no | — |
| 531 | C4⋊C4 | — | 142 | 1 | no | — |
| 532 | C4⋊C4 | — | 142 | 1 | no | — |
| 533 | C4⋊C4 | D4×D71 | 1 | 1 | yes | characteristic |
| 534 | C4⋊C4 | D4×D71 | 1 | 1 | yes | characteristic |
| 535 | C22⋊C4 | — | 2 | 1 | no | — |
| 536 | C22⋊C4 | — | 2 | 1 | no | — |
| 537 | C22⋊C4 | — | 4 | 1 | no | — |
| 538 | C22⋊C4 | — | 4 | 1 | no | — |
| 539 | C22⋊C4 | — | 284 | 1 | no | — |
| 540 | C22⋊C4 | — | 284 | 1 | no | — |
| 541 | C22⋊C4 | — | 284 | 1 | no | — |
| 542 | C22⋊C4 | — | 284 | 1 | no | — |
| 543 | C22⋊C4 | — | 142 | 1 | no | — |
| 544 | C22⋊C4 | — | 142 | 1 | no | — |
| 545 | C42 | — | 4 | 1 | no | — |
| 546 | C42 | — | 284 | 1 | no | — |
| 547 | C42 | C23×D71 | 1 | 1 | yes | characteristic |
| 548 | C23 | — | 2 | 1 | no | — |
| 549 | C23 | — | 2 | 1 | no | — |
| 550 | C23 | — | 4 | 1 | no | — |
| 551 | C23 | — | 284 | 1 | no | — |
| 552 | C23 | — | 568 | 2 | no | — |
| 553 | C23 | — | 568 | 2 | no | — |
| 554 | C23 | — | 568 | 2 | no | — |
| 555 | C23 | — | 568 | 2 | no | — |
| 556 | C23 | — | 1136 | 1 | no | — |
| 557 | C23 | — | 1136 | 1 | no | — |
| 558 | C23 | — | 142 | 1 | no | — |
| 559 | C23 | — | 142 | 1 | no | — |
| 560 | Q8 | — | 8 | 1 | no | — |
| 561 | Q8 | — | 568 | 1 | no | — |
| 562 | D4 | — | 2 | 1 | no | — |
| 563 | D4 | — | 2 | 1 | no | — |
| 564 | D4 | — | 2 | 1 | no | — |
| 565 | D4 | — | 2 | 1 | no | — |
| 566 | D4 | — | 4 | 1 | no | — |
| 567 | D4 | — | 4 | 1 | no | — |
| 568 | D4 | — | 4 | 1 | no | — |
| 569 | D4 | — | 4 | 1 | no | — |
| 570 | D4 | — | 8 | 1 | no | — |
| 571 | D4 | — | 16 | 1 | no | — |
| 572 | D4 | — | 284 | 1 | no | — |
| 573 | D4 | — | 284 | 1 | no | — |
| 574 | D4 | — | 284 | 1 | no | — |
| 575 | D4 | — | 284 | 1 | no | — |
| 576 | D4 | — | 568 | 1 | no | — |
| 577 | D4 | — | 568 | 2 | no | — |
| 578 | D4 | — | 568 | 2 | no | — |
| 579 | D4 | — | 568 | 2 | no | — |
| 580 | D4 | — | 568 | 2 | no | — |
| 581 | D4 | — | 71 | 2 | no | — |
| 582 | D4 | — | 1136 | 1 | no | — |
| 583 | D4 | — | 142 | 1 | no | — |
| 584 | D4 | — | 142 | 1 | no | — |
| 585 | D4 | — | 142 | 1 | no | — |
| 586 | C2×C4 | — | 2 | 1 | no | — |
| 587 | C2×C4 | — | 2 | 1 | no | — |
| 588 | C2×C4 | — | 4 | 1 | no | — |
| 589 | C2×C4 | — | 4 | 1 | no | — |
| 590 | C2×C4 | — | 4 | 1 | no | — |
| 591 | C2×C4 | — | 4 | 1 | no | — |
| 592 | C2×C4 | — | 4 | 1 | no | — |
| 593 | C2×C4 | — | 284 | 1 | no | — |
| 594 | C2×C4 | — | 284 | 1 | no | — |
| 595 | C2×C4 | — | 284 | 1 | no | — |
| 596 | C2×C4 | — | 284 | 1 | no | — |
| 597 | C2×C4 | — | 284 | 1 | no | — |
| 598 | C2×C4 | — | 142 | 1 | no | — |
| 599 | C2×C4 | — | 142 | 1 | no | — |
| 600 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 601 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 602 | C2×C4 | #14556173 | 1 | 1 | yes | characteristic |
| 603 | C8 | — | 2 | 2 | no | — |
| 604 | C8 | — | 4 | 1 | no | — |
| 605 | C8 | — | 4 | 1 | no | — |
| 606 | C8 | — | 284 | 1 | no | — |
| 607 | C8 | — | 284 | 1 | no | — |
| 608 | C8 | — | 71 | 2 | no | — |
| 609 | C8 | — | 142 | 1 | no | — |
| 610 | C8 | — | 142 | 1 | no | — |
| 611 | C8 | — | 142 | 1 | no | — |
| 612 | C22 | — | 4 | 1 | no | — |
| 613 | C22 | — | 4 | 1 | no | — |
| 614 | C22 | — | 4 | 1 | no | — |
| 615 | C22 | — | 4 | 1 | no | — |
| 616 | C22 | — | 4 | 1 | no | — |
| 617 | C22 | — | 4 | 1 | no | — |
| 618 | C22 | — | 8 | 1 | no | — |
| 619 | C22 | — | 8 | 1 | no | — |
| 620 | C22 | — | 8 | 1 | no | — |
| 621 | C22 | — | 284 | 1 | no | — |
| 622 | C22 | — | 284 | 1 | no | — |
| 623 | C22 | — | 284 | 1 | no | — |
| 624 | C22 | — | 284 | 1 | no | — |
| 625 | C22 | — | 284 | 1 | no | — |
| 626 | C22 | — | 568 | 1 | no | — |
| 627 | C22 | — | 568 | 1 | no | — |
| 628 | C22 | — | 568 | 1 | no | — |
| 629 | C22 | — | 1136 | 4 | no | — |
| 630 | C22 | — | 1136 | 4 | no | — |
| 631 | C22 | — | 142 | 2 | no | — |
| 632 | C22 | #17986631 | 1 | 1 | yes | characteristic |
| 633 | C4 | — | 2 | 1 | no | — |
| 634 | C4 | — | 4 | 1 | no | — |
| 635 | C4 | — | 4 | 1 | no | — |
| 636 | C4 | — | 8 | 1 | no | — |
| 637 | C4 | — | 284 | 1 | no | — |
| 638 | C4 | — | 284 | 1 | no | — |
| 639 | C4 | — | 568 | 1 | no | — |
| 640 | C4 | #135×D71 | 1 | 1 | yes | characteristic |
| 641 | C4 | AGL(1,ℤ/8)×D71 | 1 | 1 | yes | characteristic |
| 642 | C4 | #17986803 | 1 | 1 | yes | characteristic |
| 643 | C4 | #17986806 | 1 | 1 | yes | characteristic |
| 644 | C2 | — | 8 | 1 | no | — |
| 645 | C2 | — | 8 | 1 | no | — |
| 646 | C2 | — | 16 | 1 | no | — |
| 647 | C2 | — | 284 | 2 | no | — |
| 648 | C2 | — | 568 | 1 | no | — |
| 649 | C2 | — | 1136 | 1 | no | — |
| 650 | C2 | #22599933 | 1 | 1 | yes | characteristic |
| 651 | C2 | #22600023 | 1 | 1 | yes | characteristic |
| 652 | C2 | #22600136 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta