| 1 | #22602832 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #22599733 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #22599732 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #22598849 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #22587620 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22587619 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22587614 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22587583 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22587582 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22587581 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22587580 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22587076 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #22586793 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #22586793 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | C71×#1653 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C71⋊#564 | — | 2 | 2 | no | — |
| 17 | #17986728 | C22 | 1 | 1 | yes | characteristic |
| 18 | #17986727 | — | 2 | 1 | no | — |
| 19 | #17986727 | C22 | 1 | 1 | yes | characteristic |
| 20 | #17986726 | — | 2 | 1 | no | — |
| 21 | #17986725 | — | 2 | 1 | no | — |
| 22 | #17986724 | — | 2 | 1 | no | — |
| 23 | #17986724 | C22 | 1 | 1 | yes | characteristic |
| 24 | #17986612 | — | 2 | 1 | no | — |
| 25 | #17986610 | — | 2 | 1 | no | — |
| 26 | #17986608 | — | 2 | 2 | no | — |
| 27 | #17986607 | — | 2 | 1 | no | — |
| 28 | #17986607 | — | 2 | 1 | no | — |
| 29 | #17986554 | C22 | 1 | 1 | yes | characteristic |
| 30 | #17986554 | C22 | 1 | 1 | yes | characteristic |
| 31 | #17986553 | C22 | 1 | 1 | yes | characteristic |
| 32 | #17986553 | C22 | 1 | 1 | yes | characteristic |
| 33 | #17986402 | C22 | 1 | 1 | yes | characteristic |
| 34 | #17986402 | C22 | 1 | 1 | yes | characteristic |
| 35 | #17986399 | — | 2 | 2 | no | — |
| 36 | #17986397 | C22 | 1 | 1 | yes | characteristic |
| 37 | #17986285 | C22 | 1 | 1 | yes | characteristic |
| 38 | #17986284 | C22 | 1 | 1 | yes | characteristic |
| 39 | #17986283 | — | 2 | 1 | no | — |
| 40 | #17986282 | — | 2 | 1 | no | — |
| 41 | #17986281 | C22 | 1 | 1 | yes | characteristic |
| 42 | #17986258 | — | 2 | 1 | no | — |
| 43 | #17986256 | — | 2 | 1 | no | — |
| 44 | #17986256 | — | 2 | 1 | no | — |
| 45 | #17986254 | — | 2 | 1 | no | — |
| 46 | #17986210 | C22 | 1 | 1 | yes | characteristic |
| 47 | #17986209 | C22 | 1 | 1 | yes | characteristic |
| 48 | #17986208 | — | 2 | 1 | no | — |
| 49 | #17986207 | — | 2 | 1 | no | — |
| 50 | #17986206 | C22 | 1 | 1 | yes | characteristic |
| 51 | #17986034 | — | 2 | 2 | no | — |
| 52 | #17986021 | C22 | 1 | 1 | yes | characteristic |
| 53 | #17986021 | C22 | 1 | 1 | yes | characteristic |
| 54 | C4×C8×D71 | C22 | 1 | 1 | yes | characteristic |
| 55 | #17985746 | C22 | 1 | 1 | yes | characteristic |
| 56 | #17985745 | C22 | 1 | 1 | yes | characteristic |
| 57 | #17985744 | C22 | 1 | 1 | yes | characteristic |
| 58 | #17985731 | C22 | 1 | 1 | yes | characteristic |
| 59 | #17985731 | C22 | 1 | 1 | yes | characteristic |
| 60 | Q8⋊(C71⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 61 | Q8⋊(C71⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 62 | #17985729 | C22 | 1 | 1 | yes | characteristic |
| 63 | #17985729 | C22 | 1 | 1 | yes | characteristic |
| 64 | #557×C71 | C22 | 1 | 1 | yes | characteristic |
| 65 | #498×C71 | C22 | 1 | 1 | yes | characteristic |
| 66 | #475×C71 | C22 | 1 | 1 | yes | characteristic |
| 67 | #462×C71 | C22 | 1 | 1 | yes | characteristic |
| 68 | #332×C71 | C22 | 1 | 1 | yes | characteristic |
| 69 | Q8⋊C8×C71 | C22 | 1 | 1 | yes | characteristic |
| 70 | Q8⋊C8×C71 | C22 | 1 | 1 | yes | characteristic |
| 71 | C2×Dic284 | — | 2 | 1 | no | — |
| 72 | C2×#11765855 | — | 2 | 1 | no | — |
| 73 | C2×#11765855 | — | 2 | 1 | no | — |
| 74 | C2×#11765848 | — | 2 | 1 | no | — |
| 75 | C2×#11765848 | — | 2 | 1 | no | — |
| 76 | C2×C8×D71 | — | 2 | 1 | no | — |
| 77 | #14556128 | — | 2 | 1 | no | — |
| 78 | #14556128 | C23 | 1 | 1 | yes | characteristic |
| 79 | #14556128 | C23 | 1 | 1 | yes | characteristic |
| 80 | #14556127 | — | 2 | 2 | no | — |
| 81 | #14556127 | D4 | 1 | 1 | yes | characteristic |
| 82 | #14556127 | D4 | 1 | 1 | yes | characteristic |
| 83 | #14556126 | — | 2 | 1 | no | — |
| 84 | #14556126 | — | 2 | 1 | no | — |
| 85 | #14556126 | D4 | 1 | 1 | yes | characteristic |
| 86 | #14556126 | D4 | 1 | 1 | yes | characteristic |
| 87 | #14556123 | — | 2 | 2 | no | — |
| 88 | #14556123 | — | 2 | 2 | no | — |
| 89 | #14556123 | — | 2 | 2 | no | — |
| 90 | #14556122 | — | 2 | 2 | no | — |
| 91 | #14556120 | — | 2 | 2 | no | — |
| 92 | #14556120 | — | 2 | 2 | no | — |
| 93 | #14556120 | — | 2 | 1 | no | — |
| 94 | #14556119 | — | 2 | 2 | no | — |
| 95 | #14556119 | — | 2 | 2 | no | — |
| 96 | #14556119 | — | 2 | 1 | no | — |
| 97 | #14556119 | — | 2 | 2 | no | — |
| 98 | #14556119 | — | 2 | 1 | no | — |
| 99 | #14556119 | — | 2 | 1 | no | — |
| 100 | #14556119 | D4 | 1 | 2 | yes | — |
| 101 | #14556118 | — | 2 | 2 | no | — |
| 102 | #14556118 | — | 2 | 2 | no | — |
| 103 | #14556118 | — | 2 | 2 | no | — |
| 104 | #14556118 | — | 2 | 2 | no | — |
| 105 | #14556118 | — | 2 | 2 | no | — |
| 106 | #14556118 | — | 2 | 2 | no | — |
| 107 | #14556118 | — | 2 | 1 | no | — |
| 108 | #14556118 | — | 2 | 1 | no | — |
| 109 | #14556118 | — | 2 | 2 | no | — |
| 110 | #14556108 | — | 2 | 1 | no | — |
| 111 | #14556108 | — | 2 | 1 | no | — |
| 112 | #14556108 | D4 | 1 | 1 | yes | characteristic |
| 113 | #14556108 | D4 | 1 | 1 | yes | characteristic |
| 114 | #14556106 | — | 2 | 1 | no | — |
| 115 | #14556106 | — | 2 | 1 | no | — |
| 116 | #14556104 | — | 2 | 1 | no | — |
| 117 | #14556104 | — | 2 | 1 | no | — |
| 118 | #14556104 | D4 | 1 | 1 | yes | characteristic |
| 119 | #14556104 | D4 | 1 | 1 | yes | characteristic |
| 120 | Q8×Dic71 | — | 2 | 1 | no | — |
| 121 | Q8×Dic71 | — | 2 | 1 | no | — |
| 122 | Q8×Dic71 | — | 2 | 1 | no | — |
| 123 | Q8×Dic71 | — | 2 | 1 | no | — |
| 124 | C4×Dic142 | — | 2 | 2 | no | — |
| 125 | C4×Dic142 | — | 2 | 1 | no | — |
| 126 | C4×Dic142 | — | 2 | 1 | no | — |
| 127 | C4×Dic142 | — | 2 | 1 | no | — |
| 128 | C4×Dic142 | — | 2 | 1 | no | — |
| 129 | C4×Dic142 | C23 | 1 | 1 | yes | characteristic |
| 130 | C4×Dic142 | C23 | 1 | 1 | yes | characteristic |
| 131 | #14556093 | — | 2 | 2 | no | — |
| 132 | #14556093 | — | 2 | 1 | no | — |
| 133 | #14556093 | — | 2 | 1 | no | — |
| 134 | #14556093 | — | 2 | 1 | no | — |
| 135 | #14556093 | — | 2 | 1 | no | — |
| 136 | #14556086 | — | 2 | 1 | no | — |
| 137 | #14556086 | D4 | 1 | 2 | yes | — |
| 138 | #14556085 | — | 2 | 1 | no | — |
| 139 | #14556085 | — | 2 | 1 | no | — |
| 140 | C42×D71 | C23 | 1 | 1 | yes | characteristic |
| 141 | #14556061 | — | 2 | 2 | no | — |
| 142 | #14556061 | — | 2 | 2 | no | — |
| 143 | #14556060 | — | 2 | 2 | no | — |
| 144 | #14556060 | — | 2 | 1 | no | — |
| 145 | #14556059 | — | 2 | 1 | no | — |
| 146 | #14556059 | — | 2 | 1 | no | — |
| 147 | C4⋊(C71⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 148 | C4⋊(C71⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 149 | Dic71⋊C8 | — | 2 | 1 | no | — |
| 150 | Dic71⋊C8 | — | 2 | 1 | no | — |
| 151 | #14556053 | — | 2 | 1 | no | — |
| 152 | #14556053 | — | 2 | 1 | no | — |
| 153 | #14556052 | — | 2 | 1 | no | — |
| 154 | #14556052 | — | 2 | 1 | no | — |
| 155 | #14556051 | — | 2 | 1 | no | — |
| 156 | #14556051 | — | 2 | 1 | no | — |
| 157 | C4×C71⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 158 | C8×Dic71 | — | 2 | 1 | no | — |
| 159 | C2×Q16×C71 | — | 2 | 1 | no | — |
| 160 | C4⋊Q8×C71 | — | 2 | 1 | no | — |
| 161 | C4⋊Q8×C71 | C23 | 1 | 1 | yes | characteristic |
| 162 | C4⋊Q8×C71 | C23 | 1 | 1 | yes | characteristic |
| 163 | #125×C71 | — | 2 | 2 | no | — |
| 164 | #125×C71 | — | 2 | 1 | no | — |
| 165 | C4×Q8×C71 | — | 2 | 1 | no | — |
| 166 | C4×Q8×C71 | — | 2 | 1 | no | — |
| 167 | C4×Q8×C71 | C23 | 1 | 1 | yes | characteristic |
| 168 | C4×Q8×C71 | C23 | 1 | 1 | yes | characteristic |
| 169 | #106×C71 | — | 2 | 1 | no | — |
| 170 | #106×C71 | — | 2 | 2 | no | — |
| 171 | C4⋊C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 172 | C4⋊C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 173 | #103×C71 | — | 2 | 1 | no | — |
| 174 | #103×C71 | — | 2 | 1 | no | — |
| 175 | C4×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 176 | C2×Dic142 | — | 2 | 1 | no | — |
| 177 | C2×Dic142 | — | 2 | 1 | no | — |
| 178 | C2×Dic142 | — | 2 | 1 | no | — |
| 179 | C2×Dic142 | — | 2 | 1 | no | — |
| 180 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C2×C4×D71 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C2×C4×D71 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C4×D71 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | Dic284 | — | 8 | 1 | no | — |
| 186 | #11765855 | — | 8 | 1 | no | — |
| 187 | #11765855 | — | 8 | 1 | no | — |
| 188 | #11765848 | — | 8 | 1 | no | — |
| 189 | #11765848 | — | 8 | 1 | no | — |
| 190 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 191 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 192 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 193 | C8×D71 | — | 2 | 4 | no | — |
| 194 | C4⋊Dic71 | — | 2 | 2 | no | — |
| 195 | C4⋊Dic71 | — | 2 | 2 | no | — |
| 196 | C4⋊Dic71 | — | 2 | 2 | no | — |
| 197 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 198 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 199 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 200 | C4⋊Dic71 | — | 2 | 2 | no | — |
| 201 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 202 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 203 | C4⋊Dic71 | — | 4 | 1 | no | — |
| 204 | C4⋊Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C4⋊Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C4⋊Dic71 | C2×D4 | 1 | 2 | yes | — |
| 207 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 208 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 209 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 210 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 211 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 212 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 213 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 214 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 215 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 216 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 217 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 218 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 219 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 220 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 221 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 222 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 223 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 224 | Dic71⋊C4 | — | 4 | 1 | no | — |
| 225 | (C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 226 | (C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 227 | (C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 228 | (C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 229 | (C2×D71)⋊C4 | — | 2 | 2 | no | — |
| 230 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 231 | C4×Dic71 | — | 2 | 2 | no | — |
| 232 | C4×Dic71 | — | 2 | 2 | no | — |
| 233 | C4×Dic71 | — | 2 | 2 | no | — |
| 234 | C4×Dic71 | — | 2 | 1 | no | — |
| 235 | C4×Dic71 | — | 2 | 1 | no | — |
| 236 | C4×Dic71 | — | 2 | 2 | no | — |
| 237 | C4×Dic71 | — | 4 | 1 | no | — |
| 238 | C4×Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C4×Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C4×Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 242 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 243 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | Q16×C71 | — | 8 | 1 | no | — |
| 246 | C2×C8×C71 | — | 2 | 1 | no | — |
| 247 | C2×C8×C71 | — | 2 | 1 | no | — |
| 248 | C2×C8×C71 | — | 2 | 1 | no | — |
| 249 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 250 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 251 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 252 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 253 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 254 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 255 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 256 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 257 | C4⋊C4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C4⋊C4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C4⋊C4×C71 | C2×D4 | 1 | 2 | yes | — |
| 260 | C42×C71 | — | 2 | 2 | no | — |
| 261 | C42×C71 | — | 2 | 1 | no | — |
| 262 | C42×C71 | — | 2 | 1 | no | — |
| 263 | C42×C71 | C24 | 1 | 1 | yes | characteristic |
| 264 | C22×D71 | #120 | 1 | 1 | yes | characteristic |
| 265 | Q8×C71 | — | 2 | 1 | no | — |
| 266 | Q8×C71 | — | 2 | 1 | no | — |
| 267 | Q8×C71 | — | 2 | 1 | no | — |
| 268 | Q8×C71 | — | 2 | 1 | no | — |
| 269 | Q8×C71 | — | 4 | 1 | no | — |
| 270 | Q8×C71 | — | 4 | 1 | no | — |
| 271 | Q8×C71 | — | 4 | 1 | no | — |
| 272 | Q8×C71 | — | 4 | 1 | no | — |
| 273 | C2×C4×C71 | — | 2 | 1 | no | — |
| 274 | C2×C4×C71 | — | 2 | 1 | no | — |
| 275 | C2×C4×C71 | — | 2 | 1 | no | — |
| 276 | C2×C4×C71 | — | 2 | 1 | no | — |
| 277 | C2×C4×C71 | — | 2 | 2 | no | — |
| 278 | C2×C4×C71 | — | 4 | 1 | no | — |
| 279 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 280 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 281 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 282 | C2×Dic71 | — | 2 | 1 | no | — |
| 283 | C2×Dic71 | — | 2 | 1 | no | — |
| 284 | C2×Dic71 | — | 2 | 1 | no | — |
| 285 | C2×Dic71 | — | 2 | 1 | no | — |
| 286 | C2×Dic71 | — | 2 | 2 | no | — |
| 287 | C2×Dic71 | — | 4 | 1 | no | — |
| 288 | C2×Dic71 | #120 | 1 | 1 | yes | characteristic |
| 289 | C2×Dic71 | #120 | 1 | 1 | yes | characteristic |
| 290 | C2×Dic71 | #120 | 1 | 1 | yes | characteristic |
| 291 | C4×D71 | — | 2 | 1 | no | — |
| 292 | C4×D71 | — | 2 | 1 | no | — |
| 293 | C4×D71 | — | 2 | 1 | no | — |
| 294 | C4×D71 | — | 2 | 1 | no | — |
| 295 | C4×D71 | — | 2 | 2 | no | — |
| 296 | Dic142 | — | 2 | 1 | no | — |
| 297 | Dic142 | — | 2 | 1 | no | — |
| 298 | Dic142 | — | 2 | 1 | no | — |
| 299 | Dic142 | — | 2 | 1 | no | — |
| 300 | Dic142 | — | 4 | 1 | no | — |
| 301 | Dic142 | — | 4 | 1 | no | — |
| 302 | Dic142 | — | 4 | 2 | no | — |
| 303 | Dic142 | — | 4 | 2 | no | — |
| 304 | Dic142 | — | 4 | 1 | no | — |
| 305 | Dic142 | — | 4 | 1 | no | — |
| 306 | C8×C71 | — | 2 | 2 | no | — |
| 307 | C8×C71 | — | 4 | 1 | no | — |
| 308 | C8×C71 | — | 4 | 1 | no | — |
| 309 | C71⋊C8 | — | 2 | 2 | no | — |
| 310 | C71⋊C8 | — | 4 | 1 | no | — |
| 311 | C71⋊C8 | — | 4 | 1 | no | — |
| 312 | C22×C71 | C2×#120 | 1 | 1 | yes | characteristic |
| 313 | C2×D71 | — | 2 | 1 | no | — |
| 314 | C2×D71 | — | 2 | 1 | no | — |
| 315 | C2×D71 | — | 2 | 1 | no | — |
| 316 | C4×C71 | — | 2 | 1 | no | — |
| 317 | C4×C71 | — | 4 | 1 | no | — |
| 318 | C4×C71 | — | 4 | 1 | no | — |
| 319 | C4×C71 | — | 4 | 2 | no | — |
| 320 | C4×C71 | — | 4 | 1 | no | — |
| 321 | C4×C71 | — | 4 | 1 | no | — |
| 322 | C4×C71 | — | 8 | 1 | no | — |
| 323 | C4×C71 | #577 | 1 | 1 | yes | characteristic |
| 324 | C4×C71 | #577 | 1 | 1 | yes | characteristic |
| 325 | C4×C71 | #578 | 1 | 1 | yes | characteristic |
| 326 | C4×C71 | #578 | 1 | 1 | yes | characteristic |
| 327 | Dic71 | — | 2 | 1 | no | — |
| 328 | Dic71 | — | 2 | 1 | no | — |
| 329 | Dic71 | — | 4 | 1 | no | — |
| 330 | Dic71 | — | 4 | 1 | no | — |
| 331 | Dic71 | — | 4 | 2 | no | — |
| 332 | Dic71 | — | 4 | 1 | no | — |
| 333 | Dic71 | — | 4 | 1 | no | — |
| 334 | Dic71 | — | 8 | 1 | no | — |
| 335 | Dic71 | #456 | 1 | 2 | yes | — |
| 336 | #18703 | — | 71 | 1 | no | maximal, Sylow |
| 337 | C2×C71 | #3013 | 1 | 1 | yes | characteristic |
| 338 | C2×C71 | #3013 | 1 | 1 | yes | characteristic |
| 339 | C2×C71 | C2×#456 | 1 | 1 | yes | characteristic |
| 340 | D71 | — | 4 | 1 | no | — |
| 341 | #3556 | — | 71 | 1 | no | — |
| 342 | #3255 | — | 71 | 1 | no | — |
| 343 | #3255 | — | 71 | 1 | no | — |
| 344 | #3160 | — | 71 | 1 | no | — |
| 345 | #1653 | — | 71 | 1 | no | — |
| 346 | #1653 | — | 71 | 1 | no | — |
| 347 | #1653 | — | 71 | 1 | no | — |
| 348 | #1653 | D71 | 1 | 1 | yes | characteristic, complemented |
| 349 | #1648 | — | 71 | 1 | no | — |
| 350 | #1648 | — | 71 | 1 | no | — |
| 351 | #1648 | — | 71 | 1 | no | — |
| 352 | #1648 | — | 71 | 1 | no | — |
| 353 | #1561 | — | 71 | 1 | no | — |
| 354 | #1493 | — | 71 | 1 | no | — |
| 355 | #1493 | — | 71 | 1 | no | — |
| 356 | C71 | #18703 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 357 | #564 | — | 142 | 2 | no | — |
| 358 | #557 | — | 71 | 1 | no | — |
| 359 | #557 | — | 71 | 1 | no | — |
| 360 | #557 | — | 71 | 1 | no | — |
| 361 | #557 | — | 142 | 1 | no | — |
| 362 | #557 | — | 142 | 1 | no | — |
| 363 | #557 | — | 142 | 1 | no | — |
| 364 | #557 | — | 142 | 1 | no | — |
| 365 | #557 | C2×D71 | 1 | 1 | yes | characteristic |
| 366 | #541 | — | 142 | 2 | no | — |
| 367 | #541 | — | 142 | 1 | no | — |
| 368 | #541 | — | 142 | 1 | no | — |
| 369 | #541 | — | 142 | 1 | no | — |
| 370 | #541 | — | 142 | 1 | no | — |
| 371 | #533 | — | 71 | 1 | no | — |
| 372 | #533 | — | 71 | 1 | no | — |
| 373 | #533 | — | 71 | 1 | no | — |
| 374 | #533 | — | 71 | 1 | no | — |
| 375 | #500 | — | 71 | 1 | no | — |
| 376 | #500 | — | 71 | 1 | no | — |
| 377 | #499 | — | 142 | 2 | no | — |
| 378 | #498 | — | 71 | 1 | no | — |
| 379 | #498 | C2×D71 | 1 | 1 | yes | characteristic |
| 380 | #475 | — | 71 | 1 | no | — |
| 381 | #475 | — | 71 | 1 | no | — |
| 382 | #475 | — | 71 | 1 | no | — |
| 383 | #475 | — | 142 | 1 | no | — |
| 384 | #475 | — | 142 | 1 | no | — |
| 385 | #475 | C2×D71 | 1 | 1 | yes | characteristic |
| 386 | #470 | — | 142 | 1 | no | — |
| 387 | #470 | — | 142 | 1 | no | — |
| 388 | #470 | — | 142 | 1 | no | — |
| 389 | #470 | — | 142 | 1 | no | — |
| 390 | #462 | — | 71 | 1 | no | — |
| 391 | #462 | — | 71 | 1 | no | — |
| 392 | #462 | — | 71 | 1 | no | — |
| 393 | #462 | — | 142 | 1 | no | — |
| 394 | #462 | — | 142 | 1 | no | — |
| 395 | #462 | C2×D71 | 1 | 1 | yes | characteristic |
| 396 | #427 | — | 142 | 2 | no | — |
| 397 | #423 | — | 71 | 1 | no | — |
| 398 | #423 | — | 71 | 1 | no | — |
| 399 | C2×C4×C8 | — | 71 | 1 | no | — |
| 400 | #332 | — | 71 | 1 | no | — |
| 401 | #332 | — | 71 | 1 | no | — |
| 402 | #332 | — | 71 | 1 | no | — |
| 403 | #332 | C2×D71 | 1 | 1 | yes | characteristic |
| 404 | Q8⋊C8 | — | 71 | 1 | no | — |
| 405 | Q8⋊C8 | — | 71 | 1 | no | — |
| 406 | Q8⋊C8 | — | 71 | 1 | no | — |
| 407 | Q8⋊C8 | — | 71 | 1 | no | — |
| 408 | Q8⋊C8 | — | 71 | 1 | no | — |
| 409 | Q8⋊C8 | — | 71 | 1 | no | — |
| 410 | Q8⋊C8 | C2×D71 | 1 | 1 | yes | characteristic |
| 411 | Q8⋊C8 | C2×D71 | 1 | 1 | yes | characteristic |
| 412 | C2×Q16 | — | 2 | 1 | no | — |
| 413 | C2×Q16 | — | 142 | 1 | no | — |
| 414 | C2×Q16 | — | 142 | 1 | no | — |
| 415 | C2×Q16 | — | 142 | 1 | no | — |
| 416 | C2×M16 | — | 142 | 1 | no | — |
| 417 | C2×M16 | — | 142 | 1 | no | — |
| 418 | C22×C8 | — | 142 | 1 | no | — |
| 419 | C4⋊Q8 | — | 2 | 1 | no | — |
| 420 | C4⋊Q8 | — | 71 | 1 | no | — |
| 421 | C4⋊Q8 | — | 71 | 1 | no | — |
| 422 | C4⋊Q8 | — | 71 | 1 | no | — |
| 423 | C4⋊Q8 | — | 71 | 1 | no | — |
| 424 | C4⋊Q8 | — | 71 | 1 | no | — |
| 425 | C4⋊Q8 | — | 71 | 1 | no | — |
| 426 | C4⋊Q8 | — | 142 | 1 | no | — |
| 427 | C4⋊Q8 | — | 142 | 2 | no | — |
| 428 | C4⋊Q8 | — | 142 | 1 | no | — |
| 429 | C4⋊Q8 | — | 142 | 1 | no | — |
| 430 | C4⋊Q8 | C22×D71 | 1 | 1 | yes | characteristic |
| 431 | C4⋊Q8 | C22×D71 | 1 | 1 | yes | characteristic |
| 432 | #126 | — | 142 | 2 | no | — |
| 433 | #126 | — | 142 | 2 | no | — |
| 434 | #126 | — | 142 | 2 | no | — |
| 435 | #126 | — | 142 | 2 | no | — |
| 436 | #125 | — | 2 | 1 | no | — |
| 437 | #125 | — | 2 | 2 | no | — |
| 438 | #125 | — | 71 | 2 | no | — |
| 439 | #125 | — | 142 | 1 | no | — |
| 440 | #125 | — | 142 | 2 | no | — |
| 441 | #125 | — | 142 | 2 | no | — |
| 442 | #125 | — | 142 | 1 | no | — |
| 443 | #125 | — | 142 | 1 | no | — |
| 444 | #125 | — | 142 | 1 | no | — |
| 445 | #125 | — | 142 | 1 | no | — |
| 446 | #125 | — | 142 | 2 | no | — |
| 447 | #125 | — | 142 | 2 | no | — |
| 448 | #125 | — | 142 | 2 | no | — |
| 449 | #125 | — | 142 | 2 | no | — |
| 450 | #125 | — | 142 | 2 | no | — |
| 451 | #125 | — | 142 | 2 | no | — |
| 452 | #125 | — | 142 | 2 | no | — |
| 453 | #125 | — | 142 | 2 | no | — |
| 454 | #125 | — | 142 | 2 | no | — |
| 455 | #125 | — | 142 | 1 | no | — |
| 456 | #125 | — | 142 | 2 | no | — |
| 457 | C22⋊Q8 | — | 71 | 1 | no | — |
| 458 | C22⋊Q8 | — | 71 | 1 | no | — |
| 459 | C22⋊Q8 | — | 71 | 1 | no | — |
| 460 | C22⋊Q8 | — | 71 | 1 | no | — |
| 461 | C22⋊Q8 | — | 142 | 1 | no | — |
| 462 | C22⋊Q8 | — | 142 | 1 | no | — |
| 463 | C22⋊Q8 | — | 142 | 1 | no | — |
| 464 | C22⋊Q8 | — | 142 | 1 | no | — |
| 465 | C22⋊Q8 | — | 142 | 1 | no | — |
| 466 | C22⋊Q8 | — | 142 | 1 | no | — |
| 467 | C4×Q8 | — | 2 | 1 | no | — |
| 468 | C4×Q8 | — | 2 | 1 | no | — |
| 469 | C4×Q8 | — | 71 | 1 | no | — |
| 470 | C4×Q8 | — | 71 | 1 | no | — |
| 471 | C4×Q8 | — | 142 | 1 | no | — |
| 472 | C4×Q8 | — | 142 | 1 | no | — |
| 473 | C4×Q8 | — | 142 | 1 | no | — |
| 474 | C4×Q8 | — | 142 | 1 | no | — |
| 475 | C4×Q8 | — | 142 | 2 | no | — |
| 476 | C4×Q8 | — | 142 | 1 | no | — |
| 477 | C4×Q8 | — | 142 | 1 | no | — |
| 478 | C4×Q8 | — | 142 | 1 | no | — |
| 479 | C4×Q8 | — | 142 | 1 | no | — |
| 480 | C4×Q8 | — | 142 | 1 | no | — |
| 481 | C4×Q8 | — | 142 | 2 | no | — |
| 482 | C4×Q8 | — | 142 | 1 | no | — |
| 483 | C4×Q8 | — | 142 | 1 | no | — |
| 484 | C4×Q8 | — | 142 | 1 | no | — |
| 485 | C4×Q8 | C22×D71 | 1 | 1 | yes | characteristic |
| 486 | C4×Q8 | C22×D71 | 1 | 1 | yes | characteristic |
| 487 | #117 | — | 71 | 2 | no | — |
| 488 | #117 | — | 142 | 1 | no | — |
| 489 | #117 | — | 142 | 1 | no | — |
| 490 | #117 | — | 142 | 1 | no | — |
| 491 | C2×C42 | — | 71 | 1 | no | — |
| 492 | #107 | — | 142 | 2 | no | — |
| 493 | #107 | — | 142 | 2 | no | — |
| 494 | #106 | — | 2 | 2 | no | — |
| 495 | #106 | — | 2 | 1 | no | — |
| 496 | #106 | — | 142 | 1 | no | — |
| 497 | #106 | — | 142 | 2 | no | — |
| 498 | #106 | — | 142 | 1 | no | — |
| 499 | #106 | — | 142 | 1 | no | — |
| 500 | C4⋊C8 | — | 71 | 1 | no | — |
| 501 | C4⋊C8 | — | 71 | 1 | no | — |
| 502 | C4⋊C8 | — | 142 | 1 | no | — |
| 503 | C4⋊C8 | — | 142 | 1 | no | — |
| 504 | C4⋊C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 505 | C4⋊C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 506 | #103 | — | 2 | 1 | no | — |
| 507 | #103 | — | 2 | 1 | no | — |
| 508 | #103 | — | 142 | 1 | no | — |
| 509 | #103 | — | 142 | 1 | no | — |
| 510 | #103 | — | 142 | 1 | no | — |
| 511 | #103 | — | 142 | 1 | no | — |
| 512 | #103 | — | 142 | 1 | no | — |
| 513 | #103 | — | 142 | 1 | no | — |
| 514 | C4×C8 | — | 71 | 1 | no | — |
| 515 | C4×C8 | — | 142 | 1 | no | — |
| 516 | C4×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 517 | C2×Q8 | — | 2 | 1 | no | — |
| 518 | C2×Q8 | — | 2 | 1 | no | — |
| 519 | C2×Q8 | — | 71 | 1 | no | — |
| 520 | C2×Q8 | — | 71 | 1 | no | — |
| 521 | C2×Q8 | — | 142 | 1 | no | — |
| 522 | C2×Q8 | — | 142 | 1 | no | — |
| 523 | C2×Q8 | — | 142 | 1 | no | — |
| 524 | C2×Q8 | — | 142 | 1 | no | — |
| 525 | C2×Q8 | D4×D71 | 1 | 1 | yes | characteristic |
| 526 | C2×Q8 | D4×D71 | 1 | 1 | yes | characteristic |
| 527 | C22×C4 | — | 71 | 1 | no | — |
| 528 | C22×C4 | — | 71 | 1 | no | — |
| 529 | C22×C4 | — | 71 | 1 | no | — |
| 530 | Q16 | — | 8 | 1 | no | — |
| 531 | Q16 | — | 568 | 1 | no | — |
| 532 | Q16 | — | 568 | 1 | no | — |
| 533 | Q16 | — | 568 | 1 | no | — |
| 534 | M16 | — | 568 | 1 | no | — |
| 535 | M16 | — | 568 | 1 | no | — |
| 536 | C2×C8 | — | 2 | 1 | no | — |
| 537 | C2×C8 | — | 2 | 1 | no | — |
| 538 | C2×C8 | — | 2 | 1 | no | — |
| 539 | C2×C8 | — | 142 | 4 | no | — |
| 540 | C2×C8 | — | 142 | 1 | no | — |
| 541 | C2×C8 | — | 142 | 1 | no | — |
| 542 | C2×C8 | — | 142 | 1 | no | — |
| 543 | C4⋊C4 | — | 2 | 2 | no | — |
| 544 | C4⋊C4 | — | 2 | 2 | no | — |
| 545 | C4⋊C4 | — | 2 | 2 | no | — |
| 546 | C4⋊C4 | — | 2 | 1 | no | — |
| 547 | C4⋊C4 | — | 2 | 1 | no | — |
| 548 | C4⋊C4 | — | 2 | 1 | no | — |
| 549 | C4⋊C4 | — | 2 | 1 | no | — |
| 550 | C4⋊C4 | — | 2 | 1 | no | — |
| 551 | C4⋊C4 | — | 284 | 1 | no | — |
| 552 | C4⋊C4 | — | 284 | 1 | no | — |
| 553 | C4⋊C4 | — | 71 | 1 | no | — |
| 554 | C4⋊C4 | — | 71 | 1 | no | — |
| 555 | C4⋊C4 | — | 71 | 2 | no | — |
| 556 | C4⋊C4 | — | 142 | 1 | no | — |
| 557 | C4⋊C4 | — | 142 | 1 | no | — |
| 558 | C4⋊C4 | — | 142 | 1 | no | — |
| 559 | C4⋊C4 | — | 142 | 1 | no | — |
| 560 | C4⋊C4 | — | 142 | 1 | no | — |
| 561 | C4⋊C4 | — | 142 | 1 | no | — |
| 562 | C4⋊C4 | — | 142 | 1 | no | — |
| 563 | C4⋊C4 | — | 142 | 1 | no | — |
| 564 | C4⋊C4 | — | 142 | 2 | no | — |
| 565 | C4⋊C4 | — | 142 | 1 | no | — |
| 566 | C4⋊C4 | — | 142 | 1 | no | — |
| 567 | C4⋊C4 | — | 142 | 2 | no | — |
| 568 | C4⋊C4 | — | 142 | 2 | no | — |
| 569 | C4⋊C4 | — | 142 | 2 | no | — |
| 570 | C4⋊C4 | — | 142 | 2 | no | — |
| 571 | C4⋊C4 | — | 142 | 2 | no | — |
| 572 | C4⋊C4 | — | 142 | 2 | no | — |
| 573 | C4⋊C4 | — | 142 | 2 | no | — |
| 574 | C4⋊C4 | — | 142 | 2 | no | — |
| 575 | C4⋊C4 | — | 142 | 2 | no | — |
| 576 | C4⋊C4 | — | 142 | 2 | no | — |
| 577 | C4⋊C4 | — | 142 | 1 | no | — |
| 578 | C4⋊C4 | — | 142 | 1 | no | — |
| 579 | C4⋊C4 | — | 142 | 1 | no | — |
| 580 | C4⋊C4 | — | 142 | 1 | no | — |
| 581 | C4⋊C4 | — | 142 | 1 | no | — |
| 582 | C4⋊C4 | D4×D71 | 1 | 1 | yes | characteristic |
| 583 | C4⋊C4 | D4×D71 | 1 | 1 | yes | characteristic |
| 584 | C4⋊C4 | D4×D71 | 1 | 2 | yes | — |
| 585 | C22⋊C4 | — | 284 | 1 | no | — |
| 586 | C22⋊C4 | — | 142 | 2 | no | — |
| 587 | C22⋊C4 | — | 142 | 1 | no | — |
| 588 | C22⋊C4 | — | 142 | 1 | no | — |
| 589 | C22⋊C4 | — | 142 | 1 | no | — |
| 590 | C22⋊C4 | — | 142 | 1 | no | — |
| 591 | C42 | — | 2 | 2 | no | — |
| 592 | C42 | — | 2 | 1 | no | — |
| 593 | C42 | — | 2 | 1 | no | — |
| 594 | C42 | — | 284 | 1 | no | — |
| 595 | C42 | — | 71 | 1 | no | — |
| 596 | C42 | — | 71 | 1 | no | — |
| 597 | C42 | — | 71 | 1 | no | — |
| 598 | C42 | — | 142 | 2 | no | — |
| 599 | C42 | — | 142 | 2 | no | — |
| 600 | C42 | — | 142 | 2 | no | — |
| 601 | C42 | — | 142 | 2 | no | — |
| 602 | C42 | — | 142 | 1 | no | — |
| 603 | C42 | — | 142 | 1 | no | — |
| 604 | C42 | C23×D71 | 1 | 1 | yes | characteristic |
| 605 | C23 | — | 71 | 1 | no | — |
| 606 | Q8 | — | 2 | 1 | no | — |
| 607 | Q8 | — | 2 | 1 | no | — |
| 608 | Q8 | — | 2 | 1 | no | — |
| 609 | Q8 | — | 2 | 1 | no | — |
| 610 | Q8 | — | 4 | 1 | no | — |
| 611 | Q8 | — | 4 | 1 | no | — |
| 612 | Q8 | — | 4 | 1 | no | — |
| 613 | Q8 | — | 4 | 1 | no | — |
| 614 | Q8 | — | 284 | 2 | no | — |
| 615 | Q8 | — | 284 | 2 | no | — |
| 616 | Q8 | — | 284 | 1 | no | — |
| 617 | Q8 | — | 284 | 1 | no | — |
| 618 | Q8 | — | 284 | 1 | no | — |
| 619 | Q8 | — | 284 | 1 | no | — |
| 620 | Q8 | — | 142 | 1 | no | — |
| 621 | Q8 | — | 142 | 1 | no | — |
| 622 | Q8 | — | 142 | 1 | no | — |
| 623 | Q8 | — | 142 | 1 | no | — |
| 624 | C2×C4 | — | 2 | 1 | no | — |
| 625 | C2×C4 | — | 2 | 1 | no | — |
| 626 | C2×C4 | — | 2 | 1 | no | — |
| 627 | C2×C4 | — | 2 | 1 | no | — |
| 628 | C2×C4 | — | 2 | 2 | no | — |
| 629 | C2×C4 | — | 4 | 1 | no | — |
| 630 | C2×C4 | — | 284 | 1 | no | — |
| 631 | C2×C4 | — | 71 | 1 | no | — |
| 632 | C2×C4 | — | 71 | 1 | no | — |
| 633 | C2×C4 | — | 71 | 1 | no | — |
| 634 | C2×C4 | — | 142 | 2 | no | — |
| 635 | C2×C4 | — | 142 | 2 | no | — |
| 636 | C2×C4 | — | 142 | 1 | no | — |
| 637 | C2×C4 | — | 142 | 1 | no | — |
| 638 | C2×C4 | — | 142 | 1 | no | — |
| 639 | C2×C4 | — | 142 | 1 | no | — |
| 640 | C2×C4 | — | 142 | 1 | no | — |
| 641 | C2×C4 | — | 142 | 1 | no | — |
| 642 | C2×C4 | — | 142 | 1 | no | — |
| 643 | C2×C4 | — | 142 | 1 | no | — |
| 644 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 645 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 646 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 647 | C8 | — | 2 | 2 | no | — |
| 648 | C8 | — | 4 | 1 | no | — |
| 649 | C8 | — | 4 | 1 | no | — |
| 650 | C8 | — | 284 | 1 | no | — |
| 651 | C8 | — | 284 | 1 | no | — |
| 652 | C8 | — | 142 | 2 | no | — |
| 653 | C22 | — | 142 | 1 | no | — |
| 654 | C22 | — | 142 | 1 | no | — |
| 655 | C22 | — | 142 | 1 | no | — |
| 656 | C22 | #120×D71 | 1 | 1 | yes | characteristic |
| 657 | C4 | — | 2 | 1 | no | — |
| 658 | C4 | — | 4 | 1 | no | — |
| 659 | C4 | — | 4 | 1 | no | — |
| 660 | C4 | — | 4 | 2 | no | — |
| 661 | C4 | — | 4 | 1 | no | — |
| 662 | C4 | — | 4 | 1 | no | — |
| 663 | C4 | — | 8 | 1 | no | — |
| 664 | C4 | — | 284 | 2 | no | — |
| 665 | C4 | — | 284 | 1 | no | — |
| 666 | C4 | — | 284 | 1 | no | — |
| 667 | C4 | — | 284 | 1 | no | — |
| 668 | C4 | — | 284 | 1 | no | — |
| 669 | C4 | — | 568 | 1 | no | — |
| 670 | C4 | — | 71 | 2 | no | — |
| 671 | C4 | — | 142 | 1 | no | — |
| 672 | C4 | — | 142 | 1 | no | — |
| 673 | C4 | #17986805 | 1 | 1 | yes | characteristic |
| 674 | C4 | #17986806 | 1 | 1 | yes | characteristic |
| 675 | C4 | #17986815 | 1 | 1 | yes | characteristic |
| 676 | C4 | #17986815 | 1 | 1 | yes | characteristic |
| 677 | C2 | — | 284 | 1 | no | — |
| 678 | C2 | #22597650 | 1 | 1 | yes | characteristic |
| 679 | C2 | #22597659 | 1 | 1 | yes | characteristic |
| 680 | C2 | #456×D71 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta