| 1 | C2×#17986276 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C4×#14556153 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #22597006 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22589783 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22589630 | C2 | 1 | 2 | yes | maximal |
| 6 | #22589330 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22589122 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #22589113 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22589001 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #22588329 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C71×#3079 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#14556153 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C4×D284 | C22 | 1 | 1 | yes | characteristic |
| 14 | #17986276 | — | 2 | 1 | no | — |
| 15 | #17986276 | — | 2 | 1 | no | — |
| 16 | #17986276 | — | 2 | 2 | no | — |
| 17 | #17986109 | — | 2 | 1 | no | — |
| 18 | #17986097 | — | 2 | 1 | no | — |
| 19 | C4×#11765852 | — | 2 | 1 | no | — |
| 20 | C4×#11765850 | — | 2 | 1 | no | — |
| 21 | #17986060 | — | 2 | 2 | no | — |
| 22 | #17986056 | — | 2 | 1 | no | — |
| 23 | #17986052 | — | 2 | 1 | no | — |
| 24 | C2×#14556063 | C22 | 1 | 2 | yes | — |
| 25 | #17986042 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#14556061 | C22 | 1 | 2 | yes | — |
| 27 | #17986023 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×C4⋊(C71⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 29 | #17986003 | C22 | 1 | 1 | yes | characteristic |
| 30 | #17986000 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#14556048 | C22 | 1 | 2 | yes | — |
| 32 | C2×#14556044 | C22 | 1 | 2 | yes | — |
| 33 | #17985966 | C22 | 1 | 2 | yes | — |
| 34 | #17985955 | C22 | 1 | 2 | yes | — |
| 35 | C4×#11765849 | C22 | 1 | 1 | yes | characteristic |
| 36 | #17985768 | C22 | 1 | 2 | yes | — |
| 37 | #17985768 | C22 | 1 | 2 | yes | — |
| 38 | #17985767 | C22 | 1 | 2 | yes | — |
| 39 | #17985763 | C22 | 1 | 2 | yes | — |
| 40 | C2×C4⋊Q8×C71 | C22 | 1 | 1 | yes | characteristic |
| 41 | C4×#41×C71 | C22 | 1 | 1 | yes | characteristic |
| 42 | #477×C71 | — | 2 | 1 | no | — |
| 43 | #476×C71 | — | 2 | 1 | no | — |
| 44 | #475×C71 | — | 2 | 1 | no | — |
| 45 | #474×C71 | — | 2 | 1 | no | — |
| 46 | #428×C71 | C22 | 1 | 2 | yes | — |
| 47 | #423×C71 | C22 | 1 | 1 | yes | characteristic |
| 48 | #417×C71 | C22 | 1 | 2 | yes | — |
| 49 | C22×D284 | C23 | 1 | 1 | yes | characteristic |
| 50 | C22×C4×D71 | — | 2 | 1 | no | — |
| 51 | #14556153 | — | 2 | 2 | no | — |
| 52 | #14556153 | — | 2 | 2 | no | — |
| 53 | C2×#11765852 | — | 2 | 1 | no | — |
| 54 | C2×#11765850 | — | 2 | 1 | no | — |
| 55 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 56 | C2×#11765849 | C23 | 1 | 2 | yes | — |
| 57 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 58 | C22×C71⋊C8 | C23 | 1 | 2 | yes | — |
| 59 | C4×D284 | — | 2 | 1 | no | — |
| 60 | C4×D284 | — | 2 | 1 | no | — |
| 61 | C4×D284 | — | 2 | 1 | no | — |
| 62 | C4×D284 | — | 2 | 1 | no | — |
| 63 | C2×C4⋊Dic71 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×(C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 65 | #14556063 | — | 2 | 4 | no | — |
| 66 | #14556061 | — | 2 | 2 | no | — |
| 67 | #14556061 | — | 2 | 2 | no | — |
| 68 | #14556061 | — | 2 | 1 | no | — |
| 69 | #14556059 | — | 2 | 1 | no | — |
| 70 | C4⋊(C71⋊C8) | — | 2 | 1 | no | — |
| 71 | C4⋊(C71⋊C8) | — | 2 | 1 | no | — |
| 72 | C4⋊(C71⋊C8) | D4 | 1 | 1 | yes | characteristic |
| 73 | C4⋊(C71⋊C8) | D4 | 1 | 1 | yes | characteristic |
| 74 | C4⋊(C71⋊C8) | D4 | 1 | 2 | yes | — |
| 75 | #14556052 | — | 2 | 1 | no | — |
| 76 | #14556049 | — | 2 | 1 | no | — |
| 77 | #14556048 | — | 2 | 2 | no | — |
| 78 | #14556048 | — | 2 | 2 | no | — |
| 79 | #14556048 | — | 2 | 1 | no | — |
| 80 | #14556048 | — | 2 | 1 | no | — |
| 81 | #14556044 | — | 2 | 4 | no | — |
| 82 | C22⋊(C71⋊C8) | — | 2 | 2 | no | — |
| 83 | C22⋊(C71⋊C8) | — | 2 | 2 | no | — |
| 84 | #14556039 | — | 2 | 2 | no | — |
| 85 | #14556039 | — | 2 | 1 | no | — |
| 86 | C4×C71⋊C8 | — | 2 | 2 | no | — |
| 87 | C4×C71⋊C8 | — | 2 | 1 | no | — |
| 88 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 89 | C22×Q8×C71 | — | 2 | 1 | no | — |
| 90 | C2×M16×C71 | C23 | 1 | 2 | yes | — |
| 91 | C4⋊Q8×C71 | — | 2 | 1 | no | — |
| 92 | C4⋊Q8×C71 | — | 2 | 1 | no | — |
| 93 | C4⋊Q8×C71 | — | 2 | 1 | no | — |
| 94 | C4⋊Q8×C71 | — | 2 | 1 | no | — |
| 95 | C4×Q8×C71 | D4 | 1 | 1 | yes | characteristic |
| 96 | C4×Q8×C71 | D4 | 1 | 1 | yes | characteristic |
| 97 | C4×D4×C71 | — | 2 | 1 | no | — |
| 98 | C4×D4×C71 | — | 2 | 1 | no | — |
| 99 | C4×D4×C71 | D4 | 1 | 1 | yes | characteristic |
| 100 | C4×D4×C71 | D4 | 1 | 1 | yes | characteristic |
| 101 | #117×C71 | — | 2 | 1 | no | — |
| 102 | #117×C71 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×C4⋊C4×C71 | — | 2 | 1 | no | — |
| 104 | C2×C4⋊C4×C71 | C23 | 1 | 2 | yes | — |
| 105 | C2×C42×C71 | — | 2 | 1 | no | — |
| 106 | C2×C42×C71 | C23 | 1 | 1 | yes | characteristic |
| 107 | #107×C71 | — | 2 | 2 | no | — |
| 108 | #106×C71 | — | 2 | 2 | no | — |
| 109 | C4⋊C8×C71 | — | 2 | 1 | no | — |
| 110 | C4⋊C8×C71 | — | 2 | 1 | no | — |
| 111 | #103×C71 | — | 2 | 2 | no | — |
| 112 | #102×C71 | — | 2 | 2 | no | — |
| 113 | C23×D71 | — | 2 | 1 | no | — |
| 114 | C2×D284 | — | 2 | 1 | no | — |
| 115 | C2×D284 | — | 2 | 1 | no | — |
| 116 | C2×D284 | — | 2 | 1 | no | — |
| 117 | C2×D284 | — | 2 | 1 | no | — |
| 118 | C2×D284 | — | 2 | 1 | no | — |
| 119 | C2×D284 | #41 | 1 | 2 | yes | — |
| 120 | C22×Dic71 | — | 2 | 1 | no | — |
| 121 | C2×C4×D71 | — | 4 | 1 | no | — |
| 122 | C2×C4×D71 | — | 4 | 1 | no | — |
| 123 | C2×C4×D71 | — | 8 | 2 | no | — |
| 124 | #11765852 | — | 2 | 4 | no | — |
| 125 | #11765850 | — | 2 | 4 | no | — |
| 126 | #11765849 | — | 2 | 1 | no | — |
| 127 | #11765849 | — | 2 | 2 | no | — |
| 128 | #11765849 | — | 2 | 1 | no | — |
| 129 | #11765849 | — | 2 | 1 | no | — |
| 130 | #11765849 | — | 2 | 2 | no | — |
| 131 | #11765849 | #41 | 1 | 2 | yes | — |
| 132 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 133 | C2×C71⋊C8 | — | 2 | 2 | no | — |
| 134 | C2×C71⋊C8 | — | 2 | 2 | no | — |
| 135 | C2×C71⋊C8 | — | 2 | 2 | no | — |
| 136 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 137 | C2×C71⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 138 | C2×C71⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 139 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 140 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 141 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 142 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 143 | #41×C71 | — | 2 | 1 | no | — |
| 144 | #41×C71 | — | 2 | 1 | no | — |
| 145 | #41×C71 | — | 2 | 1 | no | — |
| 146 | #41×C71 | — | 2 | 1 | no | — |
| 147 | C2×Q8×C71 | — | 4 | 1 | no | — |
| 148 | C2×Q8×C71 | — | 4 | 1 | no | — |
| 149 | C2×Q8×C71 | — | 8 | 2 | no | — |
| 150 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | C2×D4×C71 | — | 2 | 1 | no | — |
| 152 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | C22×C4×C71 | — | 2 | 1 | no | — |
| 154 | C22×C4×C71 | — | 2 | 1 | no | — |
| 155 | C22×C4×C71 | — | 2 | 1 | no | — |
| 156 | C22×C4×C71 | — | 2 | 2 | no | — |
| 157 | C22×C4×C71 | #41 | 1 | 1 | yes | characteristic |
| 158 | C22×C4×C71 | #41 | 1 | 1 | yes | characteristic |
| 159 | C22×C4×C71 | C24 | 1 | 1 | yes | characteristic |
| 160 | M16×C71 | — | 2 | 2 | no | — |
| 161 | M16×C71 | — | 2 | 2 | no | — |
| 162 | C2×C8×C71 | — | 2 | 2 | no | — |
| 163 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 164 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 165 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 166 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 167 | C4⋊C4×C71 | — | 4 | 1 | no | — |
| 168 | C4⋊C4×C71 | — | 4 | 1 | no | — |
| 169 | C4⋊C4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C4⋊C4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 171 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 172 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 173 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 174 | C42×C71 | — | 2 | 1 | no | — |
| 175 | C42×C71 | — | 2 | 1 | no | — |
| 176 | C42×C71 | — | 2 | 1 | no | — |
| 177 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 179 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C23×C71 | — | 2 | 1 | no | — |
| 182 | C23×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 183 | C22×D71 | — | 2 | 2 | no | — |
| 184 | C22×D71 | — | 4 | 1 | no | — |
| 185 | C22×D71 | — | 4 | 1 | no | — |
| 186 | C22×D71 | — | 8 | 1 | no | — |
| 187 | C22×D71 | — | 8 | 1 | no | — |
| 188 | Q8×C71 | — | 2 | 1 | no | — |
| 189 | Q8×C71 | — | 2 | 1 | no | — |
| 190 | Q8×C71 | — | 8 | 2 | no | — |
| 191 | Q8×C71 | — | 8 | 2 | no | — |
| 192 | D4×C71 | — | 2 | 1 | no | — |
| 193 | D4×C71 | — | 2 | 1 | no | — |
| 194 | D4×C71 | — | 4 | 1 | no | — |
| 195 | D4×C71 | — | 4 | 1 | no | — |
| 196 | C2×C4×C71 | — | 2 | 2 | no | — |
| 197 | C2×C4×C71 | — | 2 | 1 | no | — |
| 198 | C2×C4×C71 | — | 2 | 1 | no | — |
| 199 | C2×C4×C71 | — | 2 | 1 | no | — |
| 200 | C2×C4×C71 | — | 4 | 1 | no | — |
| 201 | C2×C4×C71 | — | 4 | 1 | no | — |
| 202 | C2×C4×C71 | — | 4 | 1 | no | — |
| 203 | C2×C4×C71 | — | 4 | 2 | no | — |
| 204 | C2×C4×C71 | — | 4 | 2 | no | — |
| 205 | C2×C4×C71 | — | 8 | 1 | no | — |
| 206 | C2×C4×C71 | — | 8 | 2 | no | — |
| 207 | C2×C4×C71 | #121 | 1 | 1 | yes | characteristic |
| 208 | C2×C4×C71 | #121 | 1 | 1 | yes | characteristic |
| 209 | C2×C4×C71 | #121 | 1 | 1 | yes | characteristic |
| 210 | C2×C4×C71 | #121 | 1 | 1 | yes | characteristic |
| 211 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 212 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 213 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 214 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 215 | C2×C4×C71 | 2−1+4 | 1 | 1 | yes | characteristic |
| 216 | C2×C4×C71 | 2−1+4 | 1 | 1 | yes | characteristic |
| 217 | C2×Dic71 | — | 4 | 1 | no | — |
| 218 | C2×Dic71 | — | 8 | 1 | no | — |
| 219 | D284 | — | 2 | 2 | no | — |
| 220 | D284 | — | 2 | 2 | no | — |
| 221 | D284 | — | 4 | 1 | no | — |
| 222 | D284 | — | 4 | 1 | no | — |
| 223 | C4×D71 | — | 8 | 2 | no | — |
| 224 | C4×D71 | — | 8 | 2 | no | — |
| 225 | C8×C71 | — | 4 | 2 | no | — |
| 226 | C71⋊C8 | — | 2 | 2 | no | — |
| 227 | C71⋊C8 | — | 2 | 2 | no | — |
| 228 | C71⋊C8 | — | 2 | 2 | no | — |
| 229 | C71⋊C8 | — | 4 | 1 | no | — |
| 230 | C71⋊C8 | — | 4 | 2 | no | — |
| 231 | C22×C71 | — | 2 | 1 | no | — |
| 232 | C22×C71 | — | 2 | 1 | no | — |
| 233 | C22×C71 | — | 4 | 1 | no | — |
| 234 | C22×C71 | — | 4 | 1 | no | — |
| 235 | C22×C71 | — | 4 | 1 | no | — |
| 236 | C22×C71 | C2×#121 | 1 | 1 | yes | characteristic |
| 237 | C22×C71 | #552 | 1 | 1 | yes | characteristic |
| 238 | C22×C71 | #556 | 1 | 1 | yes | characteristic |
| 239 | C2×D71 | — | 4 | 2 | no | — |
| 240 | C2×D71 | — | 8 | 2 | no | — |
| 241 | C2×D71 | — | 8 | 1 | no | — |
| 242 | C2×D71 | — | 8 | 1 | no | — |
| 243 | C2×D71 | — | 8 | 2 | no | — |
| 244 | C4×C71 | — | 2 | 1 | no | — |
| 245 | C4×C71 | — | 2 | 1 | no | — |
| 246 | C4×C71 | — | 2 | 1 | no | — |
| 247 | C4×C71 | — | 4 | 1 | no | — |
| 248 | C4×C71 | — | 4 | 1 | no | — |
| 249 | C4×C71 | — | 4 | 1 | no | — |
| 250 | C4×C71 | — | 8 | 2 | no | — |
| 251 | C4×C71 | #472 | 1 | 2 | yes | — |
| 252 | C4×C71 | #525 | 1 | 1 | yes | characteristic |
| 253 | C4×C71 | #536 | 1 | 1 | yes | characteristic |
| 254 | C4×C71 | #547 | 1 | 1 | yes | characteristic |
| 255 | C4×C71 | #548 | 1 | 1 | yes | characteristic |
| 256 | Dic71 | — | 8 | 1 | no | — |
| 257 | #24720 | — | 71 | 1 | no | maximal, Sylow |
| 258 | C2×C71 | — | 2 | 1 | no | — |
| 259 | C2×C71 | — | 2 | 1 | no | — |
| 260 | C2×C71 | — | 8 | 1 | no | — |
| 261 | C2×C71 | #2415 | 1 | 1 | yes | characteristic |
| 262 | C2×C71 | C2×#472 | 1 | 1 | yes | characteristic |
| 263 | C2×C71 | #3069 | 1 | 1 | yes | characteristic |
| 264 | D71 | — | 8 | 2 | no | — |
| 265 | #3079 | D71 | 1 | 1 | yes | characteristic, complemented |
| 266 | C2×#474 | — | 71 | 1 | no | — |
| 267 | C4×AGL(1,ℤ/8) | — | 71 | 1 | no | — |
| 268 | #2925 | — | 71 | 1 | no | — |
| 269 | #2078 | — | 71 | 2 | no | — |
| 270 | #2051 | — | 71 | 2 | no | — |
| 271 | #1997 | — | 71 | 1 | no | — |
| 272 | #1952 | — | 71 | 2 | no | — |
| 273 | #1950 | — | 71 | 1 | no | — |
| 274 | #1931 | — | 71 | 2 | no | — |
| 275 | #1800 | — | 71 | 1 | no | — |
| 276 | C71 | #24720 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 277 | C2×AGL(1,ℤ/8) | — | 71 | 1 | no | — |
| 278 | C2×C4⋊Q8 | C2×D71 | 1 | 1 | yes | characteristic |
| 279 | C4×#41 | C2×D71 | 1 | 1 | yes | characteristic |
| 280 | C2×C4×D4 | — | 71 | 1 | no | — |
| 281 | #477 | — | 2 | 1 | no | — |
| 282 | #476 | — | 2 | 1 | no | — |
| 283 | #475 | — | 2 | 1 | no | — |
| 284 | #474 | — | 2 | 1 | no | — |
| 285 | #474 | — | 142 | 1 | no | — |
| 286 | #474 | — | 142 | 1 | no | — |
| 287 | #474 | — | 142 | 2 | no | — |
| 288 | #442 | — | 142 | 1 | no | — |
| 289 | #440 | — | 142 | 1 | no | — |
| 290 | C4×SD16 | — | 142 | 1 | no | — |
| 291 | C4×D8 | — | 142 | 1 | no | — |
| 292 | #433 | — | 142 | 2 | no | — |
| 293 | #432 | — | 142 | 1 | no | — |
| 294 | #431 | — | 142 | 1 | no | — |
| 295 | C2×#108 | — | 71 | 2 | no | — |
| 296 | #428 | — | 71 | 1 | no | — |
| 297 | #428 | C2×D71 | 1 | 2 | yes | — |
| 298 | C2×#107 | — | 71 | 2 | no | — |
| 299 | #423 | — | 71 | 1 | no | — |
| 300 | #423 | C2×D71 | 1 | 1 | yes | characteristic |
| 301 | C2×C4⋊C8 | — | 71 | 1 | no | — |
| 302 | #418 | — | 71 | 1 | no | — |
| 303 | #417 | — | 71 | 1 | no | — |
| 304 | #417 | C2×D71 | 1 | 2 | yes | — |
| 305 | C2×#102 | — | 71 | 2 | no | — |
| 306 | C2×#100 | — | 71 | 2 | no | — |
| 307 | #408 | — | 71 | 2 | no | — |
| 308 | #405 | — | 71 | 2 | no | — |
| 309 | C4×M16 | — | 71 | 1 | no | — |
| 310 | #343 | — | 71 | 2 | no | — |
| 311 | #343 | — | 71 | 2 | no | — |
| 312 | #343 | — | 71 | 2 | no | — |
| 313 | #341 | — | 71 | 2 | no | — |
| 314 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 315 | C22×Q8 | — | 2 | 1 | no | — |
| 316 | C22×D4 | — | 71 | 1 | no | — |
| 317 | C23×C4 | — | 142 | 1 | no | — |
| 318 | AGL(1,ℤ/8) | — | 142 | 2 | no | — |
| 319 | AGL(1,ℤ/8) | — | 142 | 2 | no | — |
| 320 | C2×SD16 | — | 142 | 1 | no | — |
| 321 | C2×D8 | — | 142 | 1 | no | — |
| 322 | C2×M16 | — | 71 | 1 | no | — |
| 323 | C2×M16 | — | 71 | 1 | no | — |
| 324 | C2×M16 | — | 71 | 2 | no | — |
| 325 | C2×M16 | C22×D71 | 1 | 2 | yes | — |
| 326 | C22×C8 | — | 71 | 2 | no | — |
| 327 | C4⋊Q8 | — | 2 | 1 | no | — |
| 328 | C4⋊Q8 | — | 2 | 1 | no | — |
| 329 | C4⋊Q8 | — | 2 | 1 | no | — |
| 330 | C4⋊Q8 | — | 2 | 1 | no | — |
| 331 | C4×Q8 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 332 | C4×Q8 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 333 | C4×D4 | — | 2 | 1 | no | — |
| 334 | C4×D4 | — | 2 | 1 | no | — |
| 335 | C4×D4 | — | 142 | 1 | no | — |
| 336 | C4×D4 | — | 142 | 1 | no | — |
| 337 | C4×D4 | — | 142 | 1 | no | — |
| 338 | C4×D4 | — | 142 | 1 | no | — |
| 339 | C4×D4 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 340 | C4×D4 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 341 | #117 | — | 2 | 1 | no | — |
| 342 | #117 | C22×D71 | 1 | 1 | yes | characteristic |
| 343 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 344 | C2×C4⋊C4 | — | 71 | 1 | no | — |
| 345 | C2×C4⋊C4 | C22×D71 | 1 | 2 | yes | — |
| 346 | C2×C22⋊C4 | — | 142 | 1 | no | — |
| 347 | C2×C42 | — | 2 | 1 | no | — |
| 348 | C2×C42 | C22×D71 | 1 | 1 | yes | characteristic |
| 349 | #108 | — | 142 | 4 | no | — |
| 350 | #107 | — | 2 | 2 | no | — |
| 351 | #107 | — | 142 | 2 | no | — |
| 352 | #107 | — | 142 | 2 | no | — |
| 353 | #107 | — | 142 | 1 | no | — |
| 354 | #106 | — | 2 | 2 | no | — |
| 355 | #106 | — | 142 | 1 | no | — |
| 356 | C4⋊C8 | — | 2 | 1 | no | — |
| 357 | C4⋊C8 | — | 2 | 1 | no | — |
| 358 | C4⋊C8 | — | 71 | 1 | no | — |
| 359 | C4⋊C8 | — | 71 | 1 | no | — |
| 360 | C4⋊C8 | — | 71 | 2 | no | — |
| 361 | C4⋊C8 | — | 142 | 1 | no | — |
| 362 | C4⋊C8 | — | 142 | 1 | no | — |
| 363 | #103 | — | 2 | 2 | no | — |
| 364 | #103 | — | 142 | 1 | no | — |
| 365 | #102 | — | 2 | 2 | no | — |
| 366 | #102 | — | 142 | 2 | no | — |
| 367 | #102 | — | 142 | 2 | no | — |
| 368 | #102 | — | 142 | 1 | no | — |
| 369 | #102 | — | 142 | 1 | no | — |
| 370 | #102 | — | 142 | 1 | no | — |
| 371 | #100 | — | 142 | 4 | no | — |
| 372 | C22⋊C8 | — | 142 | 2 | no | — |
| 373 | C22⋊C8 | — | 142 | 2 | no | — |
| 374 | #97 | — | 142 | 2 | no | — |
| 375 | #97 | — | 142 | 1 | no | — |
| 376 | C4×C8 | — | 142 | 2 | no | — |
| 377 | C4×C8 | — | 142 | 1 | no | — |
| 378 | C24 | — | 142 | 1 | no | — |
| 379 | #41 | — | 2 | 1 | no | — |
| 380 | #41 | — | 2 | 1 | no | — |
| 381 | #41 | — | 2 | 1 | no | — |
| 382 | #41 | — | 2 | 1 | no | — |
| 383 | C2×Q8 | — | 4 | 1 | no | — |
| 384 | C2×Q8 | — | 4 | 1 | no | — |
| 385 | C2×Q8 | — | 8 | 2 | no | — |
| 386 | C2×Q8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 387 | C2×D4 | — | 2 | 1 | no | — |
| 388 | C2×D4 | — | 71 | 2 | no | — |
| 389 | C2×D4 | — | 142 | 1 | no | — |
| 390 | C2×D4 | — | 142 | 1 | no | — |
| 391 | C2×D4 | — | 142 | 1 | no | — |
| 392 | C2×D4 | — | 142 | 1 | no | — |
| 393 | C2×D4 | — | 142 | 1 | no | — |
| 394 | C2×D4 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 395 | C22×C4 | — | 2 | 1 | no | — |
| 396 | C22×C4 | — | 2 | 1 | no | — |
| 397 | C22×C4 | — | 2 | 1 | no | — |
| 398 | C22×C4 | — | 2 | 2 | no | — |
| 399 | C22×C4 | — | 284 | 1 | no | — |
| 400 | C22×C4 | — | 284 | 1 | no | — |
| 401 | C22×C4 | — | 568 | 2 | no | — |
| 402 | C22×C4 | — | 142 | 1 | no | — |
| 403 | C22×C4 | #11765864 | 1 | 1 | yes | characteristic |
| 404 | C22×C4 | #11765864 | 1 | 1 | yes | characteristic |
| 405 | C22×C4 | C23×D71 | 1 | 1 | yes | characteristic |
| 406 | SD16 | — | 142 | 4 | no | — |
| 407 | D8 | — | 142 | 4 | no | — |
| 408 | M16 | — | 2 | 2 | no | — |
| 409 | M16 | — | 2 | 2 | no | — |
| 410 | M16 | — | 71 | 2 | no | — |
| 411 | M16 | — | 142 | 2 | no | — |
| 412 | M16 | — | 142 | 1 | no | — |
| 413 | M16 | — | 142 | 1 | no | — |
| 414 | M16 | — | 142 | 2 | no | — |
| 415 | M16 | — | 142 | 1 | no | — |
| 416 | C2×C8 | — | 2 | 2 | no | — |
| 417 | C2×C8 | — | 71 | 2 | no | — |
| 418 | C2×C8 | — | 71 | 2 | no | — |
| 419 | C2×C8 | — | 142 | 2 | no | — |
| 420 | C2×C8 | — | 142 | 1 | no | — |
| 421 | C2×C8 | — | 142 | 1 | no | — |
| 422 | C2×C8 | — | 142 | 2 | no | — |
| 423 | C2×C8 | — | 142 | 2 | no | — |
| 424 | C4⋊C4 | — | 2 | 1 | no | — |
| 425 | C4⋊C4 | — | 2 | 1 | no | — |
| 426 | C4⋊C4 | — | 2 | 2 | no | — |
| 427 | C4⋊C4 | — | 2 | 2 | no | — |
| 428 | C4⋊C4 | — | 4 | 1 | no | — |
| 429 | C4⋊C4 | — | 4 | 1 | no | — |
| 430 | C4⋊C4 | — | 142 | 1 | no | — |
| 431 | C4⋊C4 | — | 142 | 1 | no | — |
| 432 | C4⋊C4 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 433 | C4⋊C4 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 434 | C22⋊C4 | — | 2 | 1 | no | — |
| 435 | C22⋊C4 | — | 2 | 1 | no | — |
| 436 | C22⋊C4 | — | 2 | 1 | no | — |
| 437 | C22⋊C4 | — | 284 | 1 | no | — |
| 438 | C22⋊C4 | — | 284 | 1 | no | — |
| 439 | C42 | — | 2 | 1 | no | — |
| 440 | C42 | — | 2 | 1 | no | — |
| 441 | C42 | — | 2 | 1 | no | — |
| 442 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 443 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 444 | C42 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 445 | C42 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 446 | C23 | — | 2 | 1 | no | — |
| 447 | C23 | — | 284 | 1 | no | — |
| 448 | C23 | — | 284 | 1 | no | — |
| 449 | C23 | — | 568 | 1 | no | — |
| 450 | C23 | — | 568 | 1 | no | — |
| 451 | C23 | — | 142 | 2 | no | — |
| 452 | C23 | C2×#11765864 | 1 | 1 | yes | characteristic |
| 453 | Q8 | — | 2 | 1 | no | — |
| 454 | Q8 | — | 2 | 1 | no | — |
| 455 | Q8 | — | 8 | 2 | no | — |
| 456 | Q8 | — | 8 | 2 | no | — |
| 457 | D4 | — | 2 | 1 | no | — |
| 458 | D4 | — | 2 | 1 | no | — |
| 459 | D4 | — | 4 | 1 | no | — |
| 460 | D4 | — | 4 | 1 | no | — |
| 461 | D4 | — | 284 | 1 | no | — |
| 462 | D4 | — | 284 | 1 | no | — |
| 463 | D4 | — | 142 | 2 | no | — |
| 464 | D4 | — | 142 | 2 | no | — |
| 465 | C2×C4 | — | 2 | 2 | no | — |
| 466 | C2×C4 | — | 2 | 1 | no | — |
| 467 | C2×C4 | — | 2 | 1 | no | — |
| 468 | C2×C4 | — | 2 | 1 | no | — |
| 469 | C2×C4 | — | 4 | 1 | no | — |
| 470 | C2×C4 | — | 4 | 1 | no | — |
| 471 | C2×C4 | — | 4 | 1 | no | — |
| 472 | C2×C4 | — | 4 | 2 | no | — |
| 473 | C2×C4 | — | 4 | 2 | no | — |
| 474 | C2×C4 | — | 8 | 1 | no | — |
| 475 | C2×C4 | — | 8 | 2 | no | — |
| 476 | C2×C4 | — | 284 | 1 | no | — |
| 477 | C2×C4 | — | 568 | 2 | no | — |
| 478 | C2×C4 | — | 568 | 2 | no | — |
| 479 | C2×C4 | — | 568 | 1 | no | — |
| 480 | C2×C4 | #14556100 | 1 | 1 | yes | characteristic |
| 481 | C2×C4 | #14556100 | 1 | 1 | yes | characteristic |
| 482 | C2×C4 | #14556100 | 1 | 1 | yes | characteristic |
| 483 | C2×C4 | #14556100 | 1 | 1 | yes | characteristic |
| 484 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 485 | C2×C4 | C22×C22⋊D71 | 1 | 1 | yes | characteristic |
| 486 | C2×C4 | #41×D71 | 1 | 1 | yes | characteristic |
| 487 | C2×C4 | #41×D71 | 1 | 1 | yes | characteristic |
| 488 | C2×C4 | #14556176 | 1 | 1 | yes | characteristic |
| 489 | C2×C4 | #14556176 | 1 | 1 | yes | characteristic |
| 490 | C8 | — | 4 | 2 | no | — |
| 491 | C8 | — | 284 | 1 | no | — |
| 492 | C8 | — | 284 | 2 | no | — |
| 493 | C8 | — | 142 | 2 | no | — |
| 494 | C8 | — | 142 | 2 | no | — |
| 495 | C8 | — | 142 | 2 | no | — |
| 496 | C22 | — | 2 | 1 | no | — |
| 497 | C22 | — | 2 | 1 | no | — |
| 498 | C22 | — | 4 | 1 | no | — |
| 499 | C22 | — | 4 | 1 | no | — |
| 500 | C22 | — | 4 | 1 | no | — |
| 501 | C22 | — | 284 | 2 | no | — |
| 502 | C22 | — | 568 | 2 | no | — |
| 503 | C22 | — | 568 | 2 | no | — |
| 504 | C22 | — | 568 | 1 | no | — |
| 505 | C22 | — | 568 | 1 | no | — |
| 506 | C22 | C2×#14556100 | 1 | 1 | yes | characteristic |
| 507 | C22 | #17986683 | 1 | 1 | yes | characteristic |
| 508 | C22 | #17986720 | 1 | 1 | yes | characteristic |
| 509 | C4 | — | 2 | 1 | no | — |
| 510 | C4 | — | 2 | 1 | no | — |
| 511 | C4 | — | 2 | 1 | no | — |
| 512 | C4 | — | 4 | 1 | no | — |
| 513 | C4 | — | 4 | 1 | no | — |
| 514 | C4 | — | 4 | 1 | no | — |
| 515 | C4 | — | 8 | 2 | no | — |
| 516 | C4 | — | 568 | 1 | no | — |
| 517 | C4 | #17986267 | 1 | 2 | yes | — |
| 518 | C4 | #17986506 | 1 | 1 | yes | characteristic |
| 519 | C4 | #17986573 | 1 | 1 | yes | characteristic |
| 520 | C4 | #17986651 | 1 | 1 | yes | characteristic |
| 521 | C4 | #17986659 | 1 | 1 | yes | characteristic |
| 522 | C2 | — | 2 | 1 | no | — |
| 523 | C2 | — | 2 | 1 | no | — |
| 524 | C2 | — | 8 | 1 | no | — |
| 525 | C2 | — | 568 | 2 | no | — |
| 526 | C2 | #22591770 | 1 | 1 | yes | characteristic |
| 527 | C2 | C2×#17986267 | 1 | 1 | yes | characteristic |
| 528 | C2 | #22598074 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta