| 1 | #22598065 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22598064 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22597703 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#17986171 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22597246 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22596820 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22589741 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22589626 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22589611 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22589190 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22589010 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22588893 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22588817 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22588581 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#2003 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14556176 | C22 | 1 | 1 | yes | characteristic |
| 17 | #17986797 | C22 | 1 | 1 | yes | characteristic |
| 18 | #17986797 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#14556154 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#14556154 | C22 | 1 | 1 | yes | characteristic |
| 21 | #17986766 | C22 | 1 | 1 | yes | characteristic |
| 22 | #17986765 | C22 | 1 | 1 | yes | characteristic |
| 23 | #17986765 | C22 | 1 | 1 | yes | characteristic |
| 24 | #17986267 | — | 2 | 2 | no | — |
| 25 | #17986266 | — | 2 | 2 | no | — |
| 26 | #17986260 | — | 2 | 2 | no | — |
| 27 | #17986259 | — | 2 | 2 | no | — |
| 28 | #17986181 | — | 2 | 2 | no | — |
| 29 | #17986171 | — | 2 | 2 | no | — |
| 30 | #17986171 | — | 2 | 2 | no | — |
| 31 | #17986171 | — | 2 | 2 | no | — |
| 32 | #17986118 | — | 2 | 2 | no | — |
| 33 | #17986113 | — | 2 | 2 | no | — |
| 34 | #17986048 | C22 | 1 | 1 | yes | characteristic |
| 35 | #17986047 | C22 | 1 | 1 | yes | characteristic |
| 36 | #17986047 | C22 | 1 | 1 | yes | characteristic |
| 37 | #17986023 | C22 | 1 | 1 | yes | characteristic |
| 38 | #17986017 | C22 | 1 | 1 | yes | characteristic |
| 39 | #17986017 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#14556056 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#14556056 | C22 | 1 | 1 | yes | characteristic |
| 42 | #17985983 | C22 | 1 | 1 | yes | characteristic |
| 43 | #17985982 | — | 2 | 2 | no | — |
| 44 | #17985981 | C22 | 1 | 1 | yes | characteristic |
| 45 | #17985981 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×#14556047 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#14556047 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×#14556047 | C22 | 1 | 1 | yes | characteristic |
| 49 | #101×D71 | — | 2 | 2 | no | — |
| 50 | C2×#14556045 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×#14556045 | C22 | 1 | 1 | yes | characteristic |
| 52 | C4×#11765849 | C22 | 1 | 1 | yes | characteristic |
| 53 | #17985769 | C22 | 1 | 1 | yes | characteristic |
| 54 | #17985769 | C22 | 1 | 1 | yes | characteristic |
| 55 | C71⋊#338 | C22 | 1 | 1 | yes | characteristic |
| 56 | C2×AGL(1,ℤ/8)×C71 | C22 | 1 | 1 | yes | characteristic |
| 57 | #536×C71 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#124×C71 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×#104×C71 | C22 | 1 | 1 | yes | characteristic |
| 60 | #418×C71 | C22 | 1 | 1 | yes | characteristic |
| 61 | C2×#101×C71 | C22 | 1 | 1 | yes | characteristic |
| 62 | #339×C71 | C22 | 1 | 1 | yes | characteristic |
| 63 | #14556176 | — | 2 | 2 | no | — |
| 64 | #14556176 | — | 2 | 2 | no | — |
| 65 | #14556176 | — | 4 | 1 | no | — |
| 66 | #14556176 | — | 4 | 1 | no | — |
| 67 | C2×#11765866 | — | 2 | 1 | no | — |
| 68 | C2×#11765866 | — | 2 | 1 | no | — |
| 69 | C2×#11765865 | — | 2 | 2 | no | — |
| 70 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×Q8×D71 | — | 2 | 1 | no | — |
| 73 | C2×Q8×D71 | — | 2 | 1 | no | — |
| 74 | #14556159 | — | 2 | 1 | no | — |
| 75 | #14556159 | D4 | 1 | 2 | yes | — |
| 76 | #14556158 | — | 2 | 1 | no | — |
| 77 | #14556158 | — | 2 | 1 | no | — |
| 78 | #14556154 | — | 2 | 2 | no | — |
| 79 | #14556154 | — | 2 | 2 | no | — |
| 80 | #14556154 | — | 2 | 2 | no | — |
| 81 | #14556154 | — | 2 | 1 | no | — |
| 82 | #14556154 | — | 4 | 1 | no | — |
| 83 | #14556154 | D4 | 1 | 2 | yes | — |
| 84 | #14556153 | — | 2 | 1 | no | — |
| 85 | #14556153 | — | 2 | 1 | no | — |
| 86 | #14556148 | — | 2 | 2 | no | — |
| 87 | #14556148 | — | 4 | 1 | no | — |
| 88 | C2×#11765853 | — | 2 | 1 | no | — |
| 89 | C2×#11765853 | — | 2 | 1 | no | — |
| 90 | C2×#11765850 | — | 2 | 1 | no | — |
| 91 | C2×#11765850 | — | 2 | 1 | no | — |
| 92 | #14556136 | — | 2 | 2 | no | — |
| 93 | #14556136 | — | 4 | 1 | no | — |
| 94 | #14556135 | — | 2 | 2 | no | — |
| 95 | #14556135 | — | 2 | 2 | no | — |
| 96 | #14556134 | — | 2 | 2 | no | — |
| 97 | #14556134 | — | 4 | 1 | no | — |
| 98 | C2×#11765849 | — | 4 | 1 | no | — |
| 99 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 105 | M16×D71 | — | 2 | 2 | no | — |
| 106 | M16×D71 | — | 2 | 2 | no | — |
| 107 | #14556064 | — | 2 | 2 | no | — |
| 108 | #14556063 | — | 2 | 2 | no | — |
| 109 | #14556063 | — | 2 | 2 | no | — |
| 110 | C4⋊(C71⋊C8) | — | 4 | 1 | no | — |
| 111 | #14556056 | — | 2 | 2 | no | — |
| 112 | #14556056 | — | 2 | 2 | no | — |
| 113 | #14556056 | — | 2 | 1 | no | — |
| 114 | #14556056 | — | 2 | 1 | no | — |
| 115 | #14556056 | D4 | 1 | 2 | yes | — |
| 116 | #14556056 | D4 | 1 | 2 | yes | — |
| 117 | #14556047 | — | 2 | 2 | no | — |
| 118 | #14556047 | — | 2 | 2 | no | — |
| 119 | #14556047 | — | 2 | 2 | no | — |
| 120 | #14556047 | — | 2 | 1 | no | — |
| 121 | #14556046 | — | 2 | 1 | no | — |
| 122 | #14556046 | D4 | 1 | 2 | yes | — |
| 123 | #14556045 | — | 2 | 2 | no | — |
| 124 | #14556045 | — | 2 | 2 | no | — |
| 125 | #14556045 | — | 2 | 1 | no | — |
| 126 | #14556044 | — | 2 | 1 | no | — |
| 127 | #14556044 | D4 | 1 | 2 | yes | — |
| 128 | #14556039 | — | 2 | 1 | no | — |
| 129 | C4×C71⋊C8 | — | 2 | 1 | no | — |
| 130 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 131 | C22×Q8×C71 | C23 | 1 | 1 | yes | characteristic |
| 132 | C22×D4×C71 | C23 | 1 | 1 | yes | characteristic |
| 133 | AGL(1,ℤ/8)×C71 | — | 2 | 2 | no | — |
| 134 | AGL(1,ℤ/8)×C71 | — | 4 | 1 | no | — |
| 135 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 136 | C2×D8×C71 | — | 2 | 1 | no | — |
| 137 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 138 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 139 | C4⋊Q8×C71 | — | 2 | 1 | no | — |
| 140 | #124×C71 | — | 2 | 1 | no | — |
| 141 | #124×C71 | — | 2 | 1 | no | — |
| 142 | #124×C71 | — | 2 | 1 | no | — |
| 143 | #124×C71 | — | 4 | 1 | no | — |
| 144 | #123×C71 | — | 2 | 2 | no | — |
| 145 | C22⋊Q8×C71 | — | 4 | 1 | no | — |
| 146 | #117×C71 | C23 | 1 | 1 | yes | characteristic |
| 147 | C2×C22⋊C4×C71 | — | 2 | 2 | no | — |
| 148 | C2×C42×C71 | C23 | 1 | 1 | yes | characteristic |
| 149 | #104×C71 | — | 2 | 1 | no | — |
| 150 | #104×C71 | — | 2 | 1 | no | — |
| 151 | #102×C71 | — | 4 | 1 | no | — |
| 152 | #101×C71 | — | 2 | 2 | no | — |
| 153 | #11765866 | — | 4 | 2 | no | — |
| 154 | #11765866 | — | 4 | 2 | no | — |
| 155 | #11765866 | — | 4 | 2 | no | — |
| 156 | #11765866 | — | 4 | 2 | no | — |
| 157 | #11765865 | — | 2 | 1 | no | — |
| 158 | #11765865 | — | 2 | 1 | no | — |
| 159 | #11765865 | — | 2 | 1 | no | — |
| 160 | #11765865 | — | 2 | 1 | no | — |
| 161 | #11765865 | — | 2 | 1 | no | — |
| 162 | #11765865 | — | 2 | 1 | no | — |
| 163 | #11765865 | — | 4 | 4 | no | — |
| 164 | #11765865 | — | 4 | 4 | no | — |
| 165 | #11765865 | C2×D4 | 1 | 2 | yes | — |
| 166 | #11765865 | C2×D4 | 1 | 2 | yes | — |
| 167 | C2×Dic142 | — | 2 | 2 | no | — |
| 168 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | C2×Dic142 | #41 | 1 | 1 | yes | characteristic |
| 170 | Q8×D71 | — | 4 | 2 | no | — |
| 171 | Q8×D71 | — | 4 | 2 | no | — |
| 172 | Q8×D71 | — | 4 | 2 | no | — |
| 173 | Q8×D71 | — | 4 | 2 | no | — |
| 174 | C2×D284 | — | 2 | 2 | no | — |
| 175 | C2×D284 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C2×D284 | #41 | 1 | 1 | yes | characteristic |
| 177 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 178 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 179 | C2×C4×D71 | — | 2 | 1 | no | — |
| 180 | C2×C4×D71 | — | 2 | 2 | no | — |
| 181 | C2×C4×D71 | — | 2 | 2 | no | — |
| 182 | C2×C4×D71 | — | 2 | 1 | no | — |
| 183 | #11765855 | — | 2 | 2 | no | — |
| 184 | #11765855 | — | 4 | 1 | no | — |
| 185 | #11765853 | — | 2 | 2 | no | — |
| 186 | #11765853 | — | 4 | 2 | no | — |
| 187 | #11765853 | — | 4 | 1 | no | — |
| 188 | #11765853 | — | 4 | 2 | no | — |
| 189 | #11765852 | — | 2 | 2 | no | — |
| 190 | #11765852 | — | 4 | 1 | no | — |
| 191 | #11765850 | — | 2 | 2 | no | — |
| 192 | #11765850 | — | 4 | 2 | no | — |
| 193 | #11765850 | — | 4 | 1 | no | — |
| 194 | #11765850 | — | 4 | 2 | no | — |
| 195 | #11765849 | — | 2 | 1 | no | — |
| 196 | #11765849 | — | 2 | 1 | no | — |
| 197 | #11765849 | — | 2 | 1 | no | — |
| 198 | #11765849 | — | 2 | 1 | no | — |
| 199 | #11765849 | — | 2 | 1 | no | — |
| 200 | #11765849 | — | 2 | 1 | no | — |
| 201 | #11765849 | — | 2 | 1 | no | — |
| 202 | #11765849 | — | 2 | 1 | no | — |
| 203 | #11765849 | — | 2 | 1 | no | — |
| 204 | #11765849 | — | 4 | 2 | no | — |
| 205 | #11765849 | C2×D4 | 1 | 2 | yes | — |
| 206 | #11765849 | C2×D4 | 1 | 2 | yes | — |
| 207 | #11765849 | C2×D4 | 1 | 2 | yes | — |
| 208 | #11765848 | — | 4 | 2 | no | — |
| 209 | #11765848 | — | 4 | 2 | no | — |
| 210 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 211 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 212 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 213 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 214 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 215 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 216 | C2×C71⋊C8 | — | 4 | 2 | no | — |
| 217 | C8×D71 | — | 4 | 2 | no | — |
| 218 | C8×D71 | — | 4 | 2 | no | — |
| 219 | C24×C71 | — | 2 | 1 | no | — |
| 220 | #41×C71 | — | 2 | 1 | no | — |
| 221 | #41×C71 | — | 2 | 1 | no | — |
| 222 | #41×C71 | — | 2 | 1 | no | — |
| 223 | #41×C71 | — | 2 | 1 | no | — |
| 224 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 225 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 226 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 227 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 228 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 229 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 230 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | C2×D4×C71 | — | 2 | 1 | no | — |
| 232 | C2×D4×C71 | — | 2 | 1 | no | — |
| 233 | C2×D4×C71 | — | 2 | 1 | no | — |
| 234 | C2×D4×C71 | — | 2 | 1 | no | — |
| 235 | C2×D4×C71 | — | 2 | 1 | no | — |
| 236 | C2×D4×C71 | — | 2 | 1 | no | — |
| 237 | C2×D4×C71 | — | 2 | 1 | no | — |
| 238 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C22×C4×C71 | — | 2 | 1 | no | — |
| 240 | C22×C4×C71 | — | 2 | 1 | no | — |
| 241 | C22×C4×C71 | #41 | 1 | 2 | yes | — |
| 242 | C22×C4×C71 | C24 | 1 | 1 | yes | characteristic |
| 243 | SD16×C71 | — | 4 | 2 | no | — |
| 244 | D8×C71 | — | 4 | 2 | no | — |
| 245 | M16×C71 | — | 2 | 1 | no | — |
| 246 | M16×C71 | — | 2 | 1 | no | — |
| 247 | M16×C71 | — | 2 | 1 | no | — |
| 248 | M16×C71 | C2×D4 | 1 | 2 | yes | — |
| 249 | C2×C8×C71 | — | 2 | 1 | no | — |
| 250 | C2×C8×C71 | — | 2 | 1 | no | — |
| 251 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 252 | C4⋊C4×C71 | — | 4 | 2 | no | — |
| 253 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 254 | C22⋊C4×C71 | — | 4 | 2 | no | — |
| 255 | C22⋊C4×C71 | — | 4 | 2 | no | — |
| 256 | C22⋊C4×C71 | — | 4 | 2 | no | — |
| 257 | C42×C71 | — | 2 | 1 | no | — |
| 258 | C42×C71 | — | 2 | 1 | no | — |
| 259 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 260 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 261 | C23×C71 | — | 2 | 1 | no | — |
| 262 | C23×C71 | — | 4 | 1 | no | — |
| 263 | C23×C71 | — | 4 | 1 | no | — |
| 264 | C23×C71 | — | 4 | 1 | no | — |
| 265 | C23×C71 | — | 8 | 2 | no | — |
| 266 | C23×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 267 | C22×D71 | — | 2 | 1 | no | — |
| 268 | C22×D71 | — | 2 | 1 | no | — |
| 269 | Q8×C71 | — | 2 | 1 | no | — |
| 270 | Q8×C71 | — | 2 | 1 | no | — |
| 271 | Q8×C71 | — | 4 | 1 | no | — |
| 272 | Q8×C71 | — | 4 | 1 | no | — |
| 273 | Q8×C71 | — | 4 | 1 | no | — |
| 274 | Q8×C71 | — | 4 | 1 | no | — |
| 275 | D4×C71 | — | 2 | 1 | no | — |
| 276 | D4×C71 | — | 2 | 1 | no | — |
| 277 | D4×C71 | — | 4 | 1 | no | — |
| 278 | D4×C71 | — | 4 | 1 | no | — |
| 279 | D4×C71 | — | 4 | 1 | no | — |
| 280 | D4×C71 | — | 4 | 1 | no | — |
| 281 | D4×C71 | — | 4 | 1 | no | — |
| 282 | D4×C71 | — | 4 | 1 | no | — |
| 283 | C2×C4×C71 | — | 2 | 2 | no | — |
| 284 | C2×C4×C71 | — | 2 | 1 | no | — |
| 285 | C2×C4×C71 | — | 2 | 1 | no | — |
| 286 | C2×C4×C71 | — | 2 | 2 | no | — |
| 287 | C2×C4×C71 | — | 2 | 2 | no | — |
| 288 | C2×C4×C71 | — | 2 | 1 | no | — |
| 289 | C2×C4×C71 | — | 4 | 1 | no | — |
| 290 | C2×C4×C71 | — | 4 | 1 | no | — |
| 291 | C2×C4×C71 | — | 4 | 1 | no | — |
| 292 | C2×C4×C71 | — | 8 | 1 | no | — |
| 293 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 294 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 295 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 296 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 297 | C2×C4×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 298 | C2×C4×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 299 | C22⋊D71 | — | 2 | 2 | no | — |
| 300 | C22⋊D71 | — | 2 | 2 | no | — |
| 301 | C22⋊D71 | — | 4 | 1 | no | — |
| 302 | C22⋊D71 | — | 4 | 1 | no | — |
| 303 | C2×Dic71 | — | 2 | 1 | no | — |
| 304 | C2×Dic71 | — | 2 | 1 | no | — |
| 305 | D284 | — | 2 | 1 | no | — |
| 306 | D284 | — | 2 | 1 | no | — |
| 307 | D284 | — | 2 | 1 | no | — |
| 308 | D284 | — | 4 | 4 | no | — |
| 309 | D284 | #121 | 1 | 2 | yes | — |
| 310 | C4×D71 | — | 2 | 2 | no | — |
| 311 | C4×D71 | — | 2 | 2 | no | — |
| 312 | C4×D71 | — | 4 | 4 | no | — |
| 313 | C4×D71 | — | 4 | 4 | no | — |
| 314 | C4×D71 | — | 4 | 1 | no | — |
| 315 | C4×D71 | — | 4 | 1 | no | — |
| 316 | Dic142 | — | 2 | 1 | no | — |
| 317 | Dic142 | — | 2 | 1 | no | — |
| 318 | Dic142 | — | 2 | 1 | no | — |
| 319 | Dic142 | — | 4 | 4 | no | — |
| 320 | Dic142 | #121 | 1 | 2 | yes | — |
| 321 | C8×C71 | — | 2 | 2 | no | — |
| 322 | C8×C71 | — | 4 | 1 | no | — |
| 323 | C71⋊C8 | — | 2 | 2 | no | — |
| 324 | C71⋊C8 | — | 2 | 2 | no | — |
| 325 | C71⋊C8 | — | 2 | 2 | no | — |
| 326 | C71⋊C8 | — | 4 | 1 | no | — |
| 327 | C71⋊C8 | — | 4 | 1 | no | — |
| 328 | C71⋊C8 | — | 4 | 1 | no | — |
| 329 | C22×C71 | — | 4 | 1 | no | — |
| 330 | C22×C71 | — | 4 | 1 | no | — |
| 331 | C22×C71 | — | 8 | 1 | no | — |
| 332 | C22×C71 | — | 8 | 2 | no | — |
| 333 | C22×C71 | — | 8 | 1 | no | — |
| 334 | C22×C71 | — | 16 | 1 | no | — |
| 335 | C22×C71 | — | 16 | 1 | no | — |
| 336 | C22×C71 | #525 | 1 | 1 | yes | characteristic |
| 337 | C22×C71 | #546 | 1 | 1 | yes | characteristic |
| 338 | C22×C71 | #546 | 1 | 1 | yes | characteristic |
| 339 | C2×D71 | — | 2 | 2 | no | — |
| 340 | C2×D71 | — | 4 | 1 | no | — |
| 341 | C2×D71 | — | 8 | 1 | no | — |
| 342 | C2×D71 | — | 8 | 1 | no | — |
| 343 | C4×C71 | — | 4 | 1 | no | — |
| 344 | C4×C71 | — | 4 | 1 | no | — |
| 345 | C4×C71 | — | 4 | 2 | no | — |
| 346 | C4×C71 | — | 4 | 1 | no | — |
| 347 | C4×C71 | — | 8 | 1 | no | — |
| 348 | C4×C71 | C2×#121 | 1 | 1 | yes | characteristic |
| 349 | C4×C71 | #538 | 1 | 1 | yes | characteristic |
| 350 | C4×C71 | D42 | 1 | 1 | yes | characteristic |
| 351 | C4×C71 | D42 | 1 | 1 | yes | characteristic |
| 352 | Dic71 | — | 2 | 2 | no | — |
| 353 | Dic71 | — | 4 | 1 | no | — |
| 354 | #25197 | — | 71 | 1 | no | maximal, Sylow |
| 355 | C2×C71 | — | 2 | 1 | no | — |
| 356 | C2×C71 | — | 2 | 1 | no | — |
| 357 | C2×C71 | — | 2 | 1 | no | — |
| 358 | C2×C71 | — | 8 | 1 | no | — |
| 359 | C2×C71 | — | 16 | 1 | no | — |
| 360 | C2×C71 | #2424 | 1 | 1 | yes | characteristic |
| 361 | D71 | — | 4 | 2 | no | — |
| 362 | D71 | — | 8 | 1 | no | — |
| 363 | #3068 | — | 71 | 1 | no | — |
| 364 | #3068 | — | 71 | 1 | no | — |
| 365 | #3020 | — | 71 | 1 | no | — |
| 366 | C2×#454 | — | 71 | 1 | no | — |
| 367 | #2956 | — | 71 | 1 | no | — |
| 368 | #2889 | — | 71 | 1 | no | — |
| 369 | #2070 | — | 71 | 1 | no | — |
| 370 | #2050 | — | 71 | 1 | no | — |
| 371 | #2048 | — | 71 | 1 | no | — |
| 372 | #2003 | D71 | 1 | 1 | yes | characteristic, complemented |
| 373 | #1967 | — | 71 | 1 | no | — |
| 374 | #1932 | — | 71 | 1 | no | — |
| 375 | #1915 | — | 71 | 1 | no | — |
| 376 | #1903 | — | 71 | 1 | no | — |
| 377 | #1861 | — | 71 | 1 | no | — |
| 378 | C71 | #25197 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 379 | C2×2−1+4 | — | 71 | 1 | no | — |
| 380 | #575 | — | 71 | 1 | no | — |
| 381 | #575 | — | 71 | 1 | no | — |
| 382 | C2×AGL(1,ℤ/8) | — | 71 | 1 | no | — |
| 383 | C2×AGL(1,ℤ/8) | — | 71 | 1 | no | — |
| 384 | C2×AGL(1,ℤ/8) | C2×D71 | 1 | 1 | yes | characteristic |
| 385 | #568 | — | 71 | 1 | no | — |
| 386 | #568 | — | 71 | 1 | no | — |
| 387 | #568 | — | 71 | 1 | no | — |
| 388 | #536 | C2×D71 | 1 | 1 | yes | characteristic |
| 389 | C2×#124 | C2×D71 | 1 | 1 | yes | characteristic |
| 390 | #472 | — | 142 | 2 | no | — |
| 391 | #472 | — | 142 | 2 | no | — |
| 392 | #471 | — | 142 | 2 | no | — |
| 393 | #471 | — | 142 | 2 | no | — |
| 394 | #456 | — | 142 | 2 | no | — |
| 395 | #454 | — | 142 | 2 | no | — |
| 396 | #454 | — | 142 | 2 | no | — |
| 397 | #454 | — | 142 | 2 | no | — |
| 398 | #444 | — | 142 | 2 | no | — |
| 399 | #443 | — | 142 | 2 | no | — |
| 400 | #430 | — | 71 | 1 | no | — |
| 401 | #430 | — | 71 | 1 | no | — |
| 402 | #430 | — | 71 | 1 | no | — |
| 403 | #423 | — | 71 | 1 | no | — |
| 404 | #421 | — | 71 | 1 | no | — |
| 405 | #421 | — | 71 | 1 | no | — |
| 406 | C2×#104 | — | 71 | 1 | no | — |
| 407 | C2×#104 | — | 71 | 1 | no | — |
| 408 | C2×#104 | C2×D71 | 1 | 1 | yes | characteristic |
| 409 | #418 | C2×D71 | 1 | 1 | yes | characteristic |
| 410 | #413 | — | 71 | 1 | no | — |
| 411 | #413 | — | 71 | 1 | no | — |
| 412 | #413 | — | 71 | 1 | no | — |
| 413 | #413 | — | 142 | 2 | no | — |
| 414 | C2×#101 | — | 71 | 1 | no | — |
| 415 | C2×#101 | — | 71 | 1 | no | — |
| 416 | C2×#101 | — | 71 | 1 | no | — |
| 417 | C2×#101 | — | 142 | 2 | no | — |
| 418 | C2×#101 | C2×D71 | 1 | 1 | yes | characteristic |
| 419 | C2×#100 | — | 71 | 1 | no | — |
| 420 | C2×#100 | — | 71 | 1 | no | — |
| 421 | C4×M16 | — | 71 | 1 | no | — |
| 422 | #344 | — | 71 | 1 | no | — |
| 423 | #344 | — | 71 | 1 | no | — |
| 424 | #339 | C2×D71 | 1 | 1 | yes | characteristic |
| 425 | #338 | — | 71 | 1 | no | — |
| 426 | 2−1+4 | — | 284 | 1 | no | — |
| 427 | 2−1+4 | — | 284 | 1 | no | — |
| 428 | 2−1+4 | — | 142 | 2 | no | — |
| 429 | 2−1+4 | — | 142 | 2 | no | — |
| 430 | C2×#41 | — | 71 | 1 | no | — |
| 431 | C2×#41 | — | 71 | 1 | no | — |
| 432 | C2×#41 | — | 142 | 1 | no | — |
| 433 | C2×#41 | — | 142 | 1 | no | — |
| 434 | C2×#41 | — | 142 | 2 | no | — |
| 435 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 436 | C22×Q8 | — | 142 | 1 | no | — |
| 437 | C22×Q8 | — | 142 | 1 | no | — |
| 438 | C22×Q8 | C22×D71 | 1 | 1 | yes | characteristic |
| 439 | C22×D4 | C22×D71 | 1 | 1 | yes | characteristic |
| 440 | #137 | — | 71 | 2 | no | — |
| 441 | #137 | — | 142 | 1 | no | — |
| 442 | #137 | — | 142 | 1 | no | — |
| 443 | #137 | — | 142 | 1 | no | — |
| 444 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 445 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 446 | AGL(1,ℤ/8) | — | 284 | 1 | no | — |
| 447 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 448 | AGL(1,ℤ/8) | — | 142 | 2 | no | — |
| 449 | AGL(1,ℤ/8) | — | 142 | 2 | no | — |
| 450 | AGL(1,ℤ/8) | — | 142 | 2 | no | — |
| 451 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 452 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 453 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 454 | #135 | — | 284 | 1 | no | — |
| 455 | #135 | — | 142 | 2 | no | — |
| 456 | C2×SD16 | — | 2 | 1 | no | — |
| 457 | C2×SD16 | — | 142 | 1 | no | — |
| 458 | C2×SD16 | — | 142 | 1 | no | — |
| 459 | C2×D8 | — | 2 | 1 | no | — |
| 460 | C2×D8 | — | 142 | 1 | no | — |
| 461 | C2×D8 | — | 142 | 1 | no | — |
| 462 | #131 | — | 284 | 1 | no | — |
| 463 | #131 | — | 284 | 1 | no | — |
| 464 | #131 | — | 142 | 2 | no | — |
| 465 | #131 | — | 142 | 2 | no | — |
| 466 | #131 | — | 142 | 2 | no | — |
| 467 | #131 | — | 142 | 2 | no | — |
| 468 | C2×M16 | — | 284 | 1 | no | — |
| 469 | C2×M16 | — | 71 | 1 | no | — |
| 470 | C2×M16 | — | 71 | 1 | no | — |
| 471 | C2×M16 | — | 71 | 1 | no | — |
| 472 | C2×M16 | — | 71 | 1 | no | — |
| 473 | C2×M16 | — | 71 | 1 | no | — |
| 474 | C2×M16 | — | 71 | 1 | no | — |
| 475 | C2×M16 | — | 142 | 2 | no | — |
| 476 | C2×M16 | — | 142 | 2 | no | — |
| 477 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 478 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 479 | C4⋊Q8 | — | 2 | 1 | no | — |
| 480 | #124 | — | 2 | 1 | no | — |
| 481 | #124 | — | 2 | 1 | no | — |
| 482 | #124 | — | 2 | 1 | no | — |
| 483 | #124 | — | 4 | 1 | no | — |
| 484 | #123 | — | 2 | 2 | no | — |
| 485 | C22⋊Q8 | — | 4 | 1 | no | — |
| 486 | #117 | C22×D71 | 1 | 1 | yes | characteristic |
| 487 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 488 | C2×C42 | C22×D71 | 1 | 1 | yes | characteristic |
| 489 | #108 | — | 142 | 2 | no | — |
| 490 | #108 | — | 142 | 2 | no | — |
| 491 | #108 | — | 142 | 2 | no | — |
| 492 | C4⋊C8 | — | 284 | 1 | no | — |
| 493 | #104 | — | 2 | 1 | no | — |
| 494 | #104 | — | 2 | 1 | no | — |
| 495 | #104 | — | 71 | 2 | no | — |
| 496 | #104 | — | 71 | 2 | no | — |
| 497 | #104 | — | 142 | 2 | no | — |
| 498 | #104 | — | 142 | 2 | no | — |
| 499 | #104 | — | 142 | 1 | no | — |
| 500 | #104 | — | 142 | 1 | no | — |
| 501 | #102 | — | 4 | 1 | no | — |
| 502 | #101 | — | 2 | 2 | no | — |
| 503 | #101 | — | 71 | 2 | no | — |
| 504 | #101 | — | 142 | 1 | no | — |
| 505 | #101 | — | 142 | 2 | no | — |
| 506 | #101 | — | 142 | 2 | no | — |
| 507 | #101 | — | 142 | 2 | no | — |
| 508 | #101 | — | 142 | 1 | no | — |
| 509 | #100 | — | 71 | 2 | no | — |
| 510 | #100 | — | 142 | 1 | no | — |
| 511 | #100 | — | 142 | 2 | no | — |
| 512 | #100 | — | 142 | 2 | no | — |
| 513 | #100 | — | 142 | 1 | no | — |
| 514 | #97 | — | 142 | 1 | no | — |
| 515 | C4×C8 | — | 142 | 1 | no | — |
| 516 | C24 | — | 2 | 1 | no | — |
| 517 | #41 | — | 2 | 1 | no | — |
| 518 | #41 | — | 2 | 1 | no | — |
| 519 | #41 | — | 2 | 1 | no | — |
| 520 | #41 | — | 2 | 1 | no | — |
| 521 | #41 | — | 284 | 4 | no | — |
| 522 | #41 | — | 284 | 4 | no | — |
| 523 | #41 | — | 284 | 2 | no | — |
| 524 | #41 | — | 284 | 2 | no | — |
| 525 | #41 | — | 284 | 2 | no | — |
| 526 | #41 | — | 284 | 2 | no | — |
| 527 | #41 | — | 71 | 2 | no | — |
| 528 | #41 | — | 71 | 2 | no | — |
| 529 | #41 | — | 142 | 1 | no | — |
| 530 | #41 | — | 142 | 1 | no | — |
| 531 | #41 | — | 142 | 1 | no | — |
| 532 | #41 | — | 142 | 1 | no | — |
| 533 | #41 | — | 142 | 1 | no | — |
| 534 | #41 | — | 142 | 1 | no | — |
| 535 | C2×Q8 | — | 2 | 1 | no | — |
| 536 | C2×Q8 | — | 2 | 1 | no | — |
| 537 | C2×Q8 | — | 2 | 1 | no | — |
| 538 | C2×Q8 | — | 2 | 1 | no | — |
| 539 | C2×Q8 | — | 2 | 1 | no | — |
| 540 | C2×Q8 | — | 2 | 1 | no | — |
| 541 | C2×Q8 | — | 284 | 2 | no | — |
| 542 | C2×Q8 | — | 284 | 2 | no | — |
| 543 | C2×Q8 | — | 284 | 2 | no | — |
| 544 | C2×Q8 | — | 284 | 2 | no | — |
| 545 | C2×Q8 | — | 71 | 1 | no | — |
| 546 | C2×Q8 | — | 71 | 1 | no | — |
| 547 | C2×Q8 | — | 142 | 2 | no | — |
| 548 | C2×Q8 | D4×D71 | 1 | 1 | yes | characteristic |
| 549 | C2×D4 | — | 2 | 1 | no | — |
| 550 | C2×D4 | — | 2 | 1 | no | — |
| 551 | C2×D4 | — | 2 | 1 | no | — |
| 552 | C2×D4 | — | 2 | 1 | no | — |
| 553 | C2×D4 | — | 2 | 1 | no | — |
| 554 | C2×D4 | — | 2 | 1 | no | — |
| 555 | C2×D4 | — | 2 | 1 | no | — |
| 556 | C2×D4 | — | 71 | 1 | no | — |
| 557 | C2×D4 | — | 71 | 1 | no | — |
| 558 | C2×D4 | — | 142 | 2 | no | — |
| 559 | C2×D4 | — | 142 | 1 | no | — |
| 560 | C2×D4 | — | 142 | 1 | no | — |
| 561 | C2×D4 | D4×D71 | 1 | 1 | yes | characteristic |
| 562 | C22×C4 | — | 2 | 1 | no | — |
| 563 | C22×C4 | — | 2 | 1 | no | — |
| 564 | C22×C4 | — | 142 | 2 | no | — |
| 565 | C22×C4 | — | 142 | 2 | no | — |
| 566 | C22×C4 | — | 142 | 1 | no | — |
| 567 | C22×C4 | — | 142 | 1 | no | — |
| 568 | C22×C4 | #11765864 | 1 | 2 | yes | — |
| 569 | C22×C4 | C23×D71 | 1 | 1 | yes | characteristic |
| 570 | Q16 | — | 284 | 1 | no | — |
| 571 | Q16 | — | 142 | 2 | no | — |
| 572 | SD16 | — | 4 | 2 | no | — |
| 573 | SD16 | — | 284 | 1 | no | — |
| 574 | SD16 | — | 284 | 2 | no | — |
| 575 | SD16 | — | 284 | 1 | no | — |
| 576 | SD16 | — | 284 | 2 | no | — |
| 577 | SD16 | — | 142 | 2 | no | — |
| 578 | SD16 | — | 142 | 2 | no | — |
| 579 | D8 | — | 4 | 2 | no | — |
| 580 | D8 | — | 284 | 1 | no | — |
| 581 | D8 | — | 284 | 2 | no | — |
| 582 | D8 | — | 284 | 2 | no | — |
| 583 | D8 | — | 142 | 2 | no | — |
| 584 | M16 | — | 2 | 1 | no | — |
| 585 | M16 | — | 2 | 1 | no | — |
| 586 | M16 | — | 2 | 1 | no | — |
| 587 | M16 | — | 284 | 2 | no | — |
| 588 | M16 | — | 284 | 2 | no | — |
| 589 | M16 | — | 284 | 2 | no | — |
| 590 | M16 | — | 71 | 2 | no | — |
| 591 | M16 | — | 71 | 2 | no | — |
| 592 | M16 | — | 71 | 2 | no | — |
| 593 | M16 | — | 142 | 1 | no | — |
| 594 | M16 | — | 142 | 1 | no | — |
| 595 | M16 | — | 142 | 1 | no | — |
| 596 | M16 | — | 142 | 1 | no | — |
| 597 | M16 | — | 142 | 1 | no | — |
| 598 | M16 | — | 142 | 1 | no | — |
| 599 | M16 | — | 142 | 1 | no | — |
| 600 | M16 | — | 142 | 1 | no | — |
| 601 | M16 | — | 142 | 1 | no | — |
| 602 | M16 | D4×D71 | 1 | 2 | yes | — |
| 603 | C2×C8 | — | 2 | 1 | no | — |
| 604 | C2×C8 | — | 2 | 1 | no | — |
| 605 | C2×C8 | — | 284 | 2 | no | — |
| 606 | C2×C8 | — | 284 | 2 | no | — |
| 607 | C2×C8 | — | 284 | 2 | no | — |
| 608 | C2×C8 | — | 142 | 1 | no | — |
| 609 | C2×C8 | — | 142 | 1 | no | — |
| 610 | C2×C8 | — | 142 | 1 | no | — |
| 611 | C2×C8 | — | 142 | 1 | no | — |
| 612 | C2×C8 | — | 142 | 1 | no | — |
| 613 | C2×C8 | — | 142 | 1 | no | — |
| 614 | C4⋊C4 | — | 2 | 1 | no | — |
| 615 | C4⋊C4 | — | 4 | 2 | no | — |
| 616 | C22⋊C4 | — | 2 | 1 | no | — |
| 617 | C22⋊C4 | — | 4 | 2 | no | — |
| 618 | C22⋊C4 | — | 4 | 2 | no | — |
| 619 | C22⋊C4 | — | 4 | 2 | no | — |
| 620 | C42 | — | 2 | 1 | no | — |
| 621 | C42 | — | 2 | 1 | no | — |
| 622 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 623 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 624 | C23 | — | 2 | 1 | no | — |
| 625 | C23 | — | 4 | 1 | no | — |
| 626 | C23 | — | 4 | 1 | no | — |
| 627 | C23 | — | 4 | 1 | no | — |
| 628 | C23 | — | 8 | 2 | no | — |
| 629 | C23 | — | 142 | 1 | no | — |
| 630 | C23 | — | 142 | 1 | no | — |
| 631 | C23 | C2×#11765864 | 1 | 1 | yes | characteristic |
| 632 | Q8 | — | 2 | 1 | no | — |
| 633 | Q8 | — | 2 | 1 | no | — |
| 634 | Q8 | — | 4 | 1 | no | — |
| 635 | Q8 | — | 4 | 1 | no | — |
| 636 | Q8 | — | 4 | 1 | no | — |
| 637 | Q8 | — | 4 | 1 | no | — |
| 638 | Q8 | — | 284 | 4 | no | — |
| 639 | Q8 | — | 71 | 2 | no | — |
| 640 | Q8 | — | 142 | 1 | no | — |
| 641 | Q8 | — | 142 | 1 | no | — |
| 642 | Q8 | — | 142 | 1 | no | — |
| 643 | D4 | — | 2 | 1 | no | — |
| 644 | D4 | — | 2 | 1 | no | — |
| 645 | D4 | — | 4 | 1 | no | — |
| 646 | D4 | — | 4 | 1 | no | — |
| 647 | D4 | — | 4 | 1 | no | — |
| 648 | D4 | — | 4 | 1 | no | — |
| 649 | D4 | — | 4 | 1 | no | — |
| 650 | D4 | — | 4 | 1 | no | — |
| 651 | D4 | — | 284 | 4 | no | — |
| 652 | D4 | — | 284 | 1 | no | — |
| 653 | D4 | — | 284 | 1 | no | — |
| 654 | D4 | — | 71 | 2 | no | — |
| 655 | D4 | — | 142 | 2 | no | — |
| 656 | D4 | — | 142 | 2 | no | — |
| 657 | D4 | — | 142 | 1 | no | — |
| 658 | D4 | — | 142 | 1 | no | — |
| 659 | D4 | — | 142 | 1 | no | — |
| 660 | C2×C4 | — | 2 | 1 | no | — |
| 661 | C2×C4 | — | 2 | 1 | no | — |
| 662 | C2×C4 | — | 2 | 2 | no | — |
| 663 | C2×C4 | — | 2 | 2 | no | — |
| 664 | C2×C4 | — | 2 | 1 | no | — |
| 665 | C2×C4 | — | 2 | 2 | no | — |
| 666 | C2×C4 | — | 4 | 1 | no | — |
| 667 | C2×C4 | — | 4 | 1 | no | — |
| 668 | C2×C4 | — | 4 | 1 | no | — |
| 669 | C2×C4 | — | 8 | 1 | no | — |
| 670 | C2×C4 | — | 284 | 4 | no | — |
| 671 | C2×C4 | — | 284 | 4 | no | — |
| 672 | C2×C4 | — | 284 | 1 | no | — |
| 673 | C2×C4 | — | 284 | 1 | no | — |
| 674 | C2×C4 | — | 142 | 1 | no | — |
| 675 | C2×C4 | — | 142 | 1 | no | — |
| 676 | C2×C4 | — | 142 | 2 | no | — |
| 677 | C2×C4 | — | 142 | 2 | no | — |
| 678 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 679 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 680 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 681 | C2×C4 | #41×D71 | 1 | 1 | yes | characteristic |
| 682 | C2×C4 | #14556173 | 1 | 1 | yes | characteristic |
| 683 | C2×C4 | #14556173 | 1 | 1 | yes | characteristic |
| 684 | C8 | — | 2 | 2 | no | — |
| 685 | C8 | — | 4 | 1 | no | — |
| 686 | C8 | — | 284 | 1 | no | — |
| 687 | C8 | — | 284 | 1 | no | — |
| 688 | C8 | — | 284 | 1 | no | — |
| 689 | C8 | — | 142 | 2 | no | — |
| 690 | C8 | — | 142 | 2 | no | — |
| 691 | C8 | — | 142 | 2 | no | — |
| 692 | C22 | — | 4 | 1 | no | — |
| 693 | C22 | — | 4 | 1 | no | — |
| 694 | C22 | — | 8 | 1 | no | — |
| 695 | C22 | — | 8 | 2 | no | — |
| 696 | C22 | — | 8 | 1 | no | — |
| 697 | C22 | — | 16 | 1 | no | — |
| 698 | C22 | — | 16 | 1 | no | — |
| 699 | C22 | — | 284 | 1 | no | — |
| 700 | C22 | — | 568 | 1 | no | — |
| 701 | C22 | — | 568 | 1 | no | — |
| 702 | C22 | — | 142 | 2 | no | — |
| 703 | C22 | #17986509 | 1 | 1 | yes | characteristic |
| 704 | C22 | #17986636 | 1 | 1 | yes | characteristic |
| 705 | C22 | #17986636 | 1 | 1 | yes | characteristic |
| 706 | C4 | — | 4 | 1 | no | — |
| 707 | C4 | — | 4 | 1 | no | — |
| 708 | C4 | — | 4 | 2 | no | — |
| 709 | C4 | — | 4 | 1 | no | — |
| 710 | C4 | — | 8 | 1 | no | — |
| 711 | C4 | — | 284 | 1 | no | — |
| 712 | C4 | — | 142 | 2 | no | — |
| 713 | C4 | #121×D71 | 1 | 1 | yes | characteristic |
| 714 | C4 | #17986581 | 1 | 1 | yes | characteristic |
| 715 | C4 | #17986631 | 1 | 1 | yes | characteristic |
| 716 | C4 | #17986634 | 1 | 1 | yes | characteristic |
| 717 | C2 | — | 2 | 1 | no | — |
| 718 | C2 | — | 2 | 1 | no | — |
| 719 | C2 | — | 2 | 1 | no | — |
| 720 | C2 | — | 8 | 1 | no | — |
| 721 | C2 | — | 16 | 1 | no | — |
| 722 | C2 | — | 284 | 2 | no | — |
| 723 | C2 | — | 568 | 1 | no | — |
| 724 | C2 | #22591879 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta