| 1 | #500×D71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #495×D71 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #22590579 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22590578 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22590577 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22590576 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22590575 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #358×D71 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #357×D71 | C2 | 1 | 2 | yes | maximal |
| 10 | #346×D71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C71×#2243 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×Q16×D71 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×SD16×D71 | — | 2 | 1 | no | — |
| 14 | C2×D8×D71 | C22 | 1 | 1 | yes | characteristic |
| 15 | C4⋊Q8×D71 | — | 2 | 1 | no | — |
| 16 | #124×D71 | — | 2 | 1 | no | — |
| 17 | C2×C16×D71 | C22 | 1 | 2 | yes | — |
| 18 | #17986404 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #17986403 | — | 2 | 1 | no | — |
| 20 | #17986403 | C22 | 1 | 2 | yes | complemented |
| 21 | #17986402 | — | 2 | 1 | no | — |
| 22 | #17986384 | C22 | 1 | 1 | yes | characteristic |
| 23 | #17986383 | C22 | 1 | 1 | yes | characteristic |
| 24 | #17986382 | C22 | 1 | 1 | yes | characteristic |
| 25 | #17986381 | — | 2 | 1 | no | — |
| 26 | #17986380 | — | 2 | 1 | no | — |
| 27 | #107×D71 | — | 2 | 1 | no | — |
| 28 | #107×D71 | C22 | 1 | 2 | yes | — |
| 29 | C4×C8×D71 | C22 | 1 | 1 | yes | characteristic |
| 30 | #17985804 | C22 | 1 | 2 | yes | complemented |
| 31 | #17985803 | C22 | 1 | 2 | yes | complemented |
| 32 | #17985802 | C22 | 1 | 2 | yes | complemented |
| 33 | #17985801 | C22 | 1 | 2 | yes | — |
| 34 | #17985800 | C22 | 1 | 2 | yes | — |
| 35 | #17985799 | C22 | 1 | 2 | yes | — |
| 36 | #17985775 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #17985774 | C22 | 1 | 2 | yes | complemented |
| 38 | #500×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #495×C71 | C22 | 1 | 1 | yes | characteristic |
| 40 | #358×C71 | C22 | 1 | 2 | yes | complemented |
| 41 | #357×C71 | C22 | 1 | 2 | yes | — |
| 42 | #346×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×Q8×D71 | — | 2 | 1 | no | — |
| 44 | C2×Q8×D71 | — | 4 | 1 | no | — |
| 45 | C2×D4×D71 | — | 2 | 1 | no | — |
| 46 | C2×Dic284 | C23 | 1 | 1 | yes | characteristic |
| 47 | C2×#11765855 | — | 2 | 1 | no | — |
| 48 | Q16×D71 | — | 2 | 4 | no | — |
| 49 | C2×#11765854 | — | 2 | 1 | no | — |
| 50 | C2×#11765853 | — | 2 | 1 | no | — |
| 51 | C2×#11765852 | — | 2 | 1 | no | — |
| 52 | SD16×D71 | — | 4 | 4 | no | — |
| 53 | C2×D568 | C23 | 1 | 1 | yes | characteristic |
| 54 | C2×#11765850 | — | 2 | 1 | no | — |
| 55 | D8×D71 | — | 2 | 4 | no | — |
| 56 | C2×C8×D71 | D4 | 1 | 1 | yes | characteristic |
| 57 | C2×C8×D71 | C23 | 1 | 1 | yes | characteristic |
| 58 | #14556128 | — | 2 | 1 | no | — |
| 59 | #14556127 | — | 2 | 2 | no | — |
| 60 | #14556127 | — | 4 | 1 | no | — |
| 61 | #14556126 | — | 4 | 1 | no | — |
| 62 | #14556117 | — | 2 | 1 | no | — |
| 63 | #14556116 | — | 2 | 1 | no | — |
| 64 | #14556115 | — | 2 | 1 | no | — |
| 65 | #14556114 | — | 4 | 1 | no | — |
| 66 | #14556114 | — | 4 | 1 | no | — |
| 67 | C4⋊C4×D71 | — | 2 | 2 | no | — |
| 68 | C4⋊C4×D71 | — | 4 | 1 | no | — |
| 69 | C22⋊C4×D71 | — | 4 | 1 | no | — |
| 70 | C22⋊C4×D71 | — | 4 | 1 | no | — |
| 71 | C42×D71 | D4 | 1 | 1 | yes | characteristic |
| 72 | C2×C71⋊C16 | C23 | 1 | 2 | yes | — |
| 73 | C16×D71 | — | 2 | 4 | no | — |
| 74 | #14556062 | — | 2 | 1 | no | — |
| 75 | #14556062 | C23 | 1 | 2 | yes | — |
| 76 | #14556061 | — | 2 | 2 | no | — |
| 77 | #14556061 | — | 2 | 2 | no | — |
| 78 | C4×C71⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 79 | C8×Dic71 | D4 | 1 | 1 | yes | characteristic |
| 80 | C8×Dic71 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×Q16×C71 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 83 | C2×D8×C71 | C23 | 1 | 1 | yes | characteristic |
| 84 | C4⋊Q8×C71 | — | 2 | 1 | no | — |
| 85 | #124×C71 | — | 2 | 1 | no | — |
| 86 | C2×C16×C71 | C23 | 1 | 2 | yes | — |
| 87 | #107×C71 | — | 2 | 1 | no | — |
| 88 | #107×C71 | C23 | 1 | 2 | yes | — |
| 89 | C4×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 90 | C23×D71 | — | 4 | 1 | no | — |
| 91 | C2×Dic142 | — | 2 | 1 | no | — |
| 92 | C2×Dic142 | — | 4 | 1 | no | — |
| 93 | C2×Dic142 | — | 4 | 1 | no | — |
| 94 | C2×Dic142 | — | 4 | 2 | no | — |
| 95 | Q8×D71 | — | 4 | 2 | no | — |
| 96 | Q8×D71 | — | 4 | 2 | no | — |
| 97 | Q8×D71 | — | 8 | 4 | no | — |
| 98 | C2×D284 | — | 2 | 1 | no | — |
| 99 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 100 | D4×D71 | — | 4 | 2 | no | — |
| 101 | D4×D71 | — | 4 | 2 | no | — |
| 102 | C2×C4×D71 | — | 4 | 1 | no | — |
| 103 | C2×C4×D71 | — | 4 | 2 | no | — |
| 104 | C2×C4×D71 | D8 | 1 | 1 | yes | characteristic |
| 105 | C2×C4×D71 | D8 | 1 | 1 | yes | characteristic |
| 106 | C2×C4×D71 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | Dic284 | — | 2 | 2 | no | — |
| 108 | #11765855 | — | 4 | 2 | no | — |
| 109 | #11765854 | — | 4 | 2 | no | — |
| 110 | #11765853 | — | 4 | 2 | no | — |
| 111 | #11765852 | — | 4 | 2 | no | — |
| 112 | D568 | — | 2 | 2 | no | — |
| 113 | #11765850 | — | 4 | 2 | no | — |
| 114 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 116 | C8×D71 | SD16 | 1 | 4 | yes | — |
| 117 | C8×D71 | #41 | 1 | 4 | yes | — |
| 118 | C4⋊Dic71 | — | 2 | 2 | no | — |
| 119 | C4⋊Dic71 | — | 4 | 1 | no | — |
| 120 | Dic71⋊C4 | — | 4 | 2 | no | — |
| 121 | Dic71⋊C4 | — | 4 | 2 | no | — |
| 122 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 123 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 124 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 125 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 126 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 127 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 128 | C4×Dic71 | D8 | 1 | 1 | yes | characteristic |
| 129 | C4×Dic71 | D8 | 1 | 1 | yes | characteristic |
| 130 | C4×Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | C71⋊C16 | — | 2 | 2 | no | — |
| 132 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 133 | C2×Q8×C71 | — | 4 | 1 | no | — |
| 134 | C2×D4×C71 | — | 2 | 1 | no | — |
| 135 | Q16×C71 | — | 2 | 2 | no | — |
| 136 | SD16×C71 | — | 4 | 2 | no | — |
| 137 | D8×C71 | — | 2 | 2 | no | — |
| 138 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×C8×C71 | C24 | 1 | 1 | yes | characteristic |
| 140 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 141 | C4⋊C4×C71 | — | 4 | 1 | no | — |
| 142 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 143 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 144 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 145 | C16×C71 | — | 2 | 2 | no | — |
| 146 | C23×C71 | — | 4 | 1 | no | — |
| 147 | C22×D71 | — | 4 | 1 | no | — |
| 148 | C22×D71 | — | 8 | 2 | no | — |
| 149 | C22×D71 | — | 8 | 2 | no | — |
| 150 | C22×D71 | — | 8 | 2 | no | — |
| 151 | C22×D71 | C2×D8 | 1 | 1 | yes | characteristic |
| 152 | Q8×C71 | — | 4 | 1 | no | — |
| 153 | Q8×C71 | — | 4 | 1 | no | — |
| 154 | Q8×C71 | — | 8 | 2 | no | — |
| 155 | D4×C71 | — | 4 | 1 | no | — |
| 156 | D4×C71 | — | 4 | 1 | no | — |
| 157 | C2×C4×C71 | — | 4 | 1 | no | — |
| 158 | C2×C4×C71 | — | 4 | 2 | no | — |
| 159 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 160 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 161 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 162 | C22⋊D71 | — | 8 | 2 | no | — |
| 163 | C2×Dic71 | — | 4 | 1 | no | — |
| 164 | C2×Dic71 | — | 4 | 2 | no | — |
| 165 | C2×Dic71 | C2×D8 | 1 | 1 | yes | characteristic |
| 166 | C2×Dic71 | C2×D8 | 1 | 1 | yes | characteristic |
| 167 | C2×Dic71 | C2×D8 | 1 | 1 | yes | characteristic |
| 168 | D284 | — | 4 | 1 | no | — |
| 169 | D284 | — | 4 | 1 | no | — |
| 170 | C4×D71 | — | 2 | 2 | no | — |
| 171 | C4×D71 | — | 2 | 2 | no | — |
| 172 | C4×D71 | — | 8 | 2 | no | — |
| 173 | C4×D71 | — | 8 | 4 | no | — |
| 174 | C4×D71 | #124 | 1 | 2 | yes | — |
| 175 | C4×D71 | C2×SD16 | 1 | 2 | yes | — |
| 176 | Dic142 | — | 4 | 1 | no | — |
| 177 | Dic142 | — | 4 | 1 | no | — |
| 178 | Dic142 | — | 8 | 4 | no | — |
| 179 | Dic142 | — | 8 | 2 | no | — |
| 180 | Dic142 | — | 8 | 2 | no | — |
| 181 | C8×C71 | C2×SD16 | 1 | 2 | yes | — |
| 182 | C8×C71 | C2×#41 | 1 | 2 | yes | — |
| 183 | C71⋊C8 | #124 | 1 | 2 | yes | — |
| 184 | C71⋊C8 | C2×SD16 | 1 | 2 | yes | — |
| 185 | C22×C71 | — | 8 | 1 | no | — |
| 186 | C22×C71 | — | 8 | 1 | no | — |
| 187 | C22×C71 | — | 8 | 1 | no | — |
| 188 | C22×C71 | C22×D8 | 1 | 1 | yes | characteristic |
| 189 | C2×D71 | — | 8 | 1 | no | — |
| 190 | C2×D71 | — | 8 | 1 | no | — |
| 191 | C2×D71 | — | 8 | 1 | no | — |
| 192 | C2×D71 | — | 16 | 4 | no | — |
| 193 | C2×D71 | #486 | 1 | 2 | yes | — |
| 194 | C2×D71 | #509 | 1 | 2 | yes | — |
| 195 | C2×D71 | #510 | 1 | 2 | yes | — |
| 196 | C4×C71 | — | 2 | 1 | no | — |
| 197 | C4×C71 | — | 2 | 1 | no | — |
| 198 | C4×C71 | — | 8 | 1 | no | — |
| 199 | C4×C71 | — | 8 | 2 | no | — |
| 200 | C4×C71 | C2×#124 | 1 | 1 | yes | characteristic |
| 201 | C4×C71 | C22×SD16 | 1 | 1 | yes | characteristic |
| 202 | Dic71 | — | 2 | 1 | no | — |
| 203 | Dic71 | — | 2 | 1 | no | — |
| 204 | Dic71 | — | 8 | 1 | no | — |
| 205 | Dic71 | — | 8 | 2 | no | — |
| 206 | Dic71 | #486 | 1 | 2 | yes | — |
| 207 | C2×#2243 | — | 71 | 1 | no | maximal, Sylow |
| 208 | C2×C71 | — | 16 | 1 | no | — |
| 209 | C2×C71 | C2×#486 | 1 | 1 | yes | characteristic |
| 210 | C2×C71 | C2×#509 | 1 | 1 | yes | characteristic |
| 211 | C2×C71 | C2×#510 | 1 | 1 | yes | characteristic |
| 212 | D71 | — | 16 | 1 | no | — |
| 213 | D71 | #2243 | 1 | 4 | yes | direct product factor |
| 214 | C2×#500 | — | 71 | 1 | no | — |
| 215 | C2×#495 | — | 71 | 1 | no | — |
| 216 | #2243 | — | 71 | 1 | no | — |
| 217 | #2243 | — | 71 | 1 | no | — |
| 218 | #2243 | — | 71 | 2 | no | — |
| 219 | #2243 | — | 71 | 2 | no | — |
| 220 | #2243 | — | 71 | 1 | no | — |
| 221 | #2243 | D71 | 1 | 1 | yes | characteristic, direct product factor |
| 222 | C2×#358 | — | 71 | 2 | no | — |
| 223 | C2×#357 | — | 71 | 2 | no | — |
| 224 | C2×#346 | — | 71 | 1 | no | — |
| 225 | C71 | C2×#2243 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 226 | C22×Q16 | — | 71 | 1 | no | — |
| 227 | C22×SD16 | — | 142 | 1 | no | — |
| 228 | C22×D8 | — | 71 | 1 | no | — |
| 229 | C2×C4⋊Q8 | — | 142 | 1 | no | — |
| 230 | C2×#124 | — | 142 | 1 | no | — |
| 231 | C22×C16 | — | 71 | 2 | no | — |
| 232 | #500 | — | 71 | 2 | no | — |
| 233 | #500 | — | 71 | 1 | no | — |
| 234 | #500 | — | 142 | 1 | no | — |
| 235 | #500 | — | 142 | 1 | no | — |
| 236 | #500 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 237 | #495 | — | 71 | 1 | no | — |
| 238 | #495 | — | 71 | 1 | no | — |
| 239 | #495 | — | 71 | 1 | no | — |
| 240 | #495 | — | 142 | 1 | no | — |
| 241 | #495 | — | 142 | 1 | no | — |
| 242 | #495 | C2×D71 | 1 | 1 | yes | characteristic |
| 243 | C2×#107 | — | 71 | 2 | no | — |
| 244 | C2×#107 | — | 142 | 1 | no | — |
| 245 | C2×C4×C8 | — | 71 | 1 | no | — |
| 246 | #358 | — | 71 | 2 | no | — |
| 247 | #358 | — | 71 | 2 | no | — |
| 248 | #358 | — | 71 | 2 | no | — |
| 249 | #358 | C2×D71 | 1 | 2 | yes | complemented |
| 250 | #357 | — | 71 | 2 | no | — |
| 251 | #357 | — | 71 | 2 | no | — |
| 252 | #357 | — | 71 | 2 | no | — |
| 253 | #357 | C2×D71 | 1 | 2 | yes | — |
| 254 | #346 | — | 71 | 2 | no | — |
| 255 | #346 | — | 71 | 1 | no | — |
| 256 | #346 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 257 | C22×Q8 | — | 284 | 1 | no | — |
| 258 | C22×Q8 | — | 142 | 1 | no | — |
| 259 | C22×D4 | — | 142 | 1 | no | — |
| 260 | C2×Q16 | — | 71 | 1 | no | — |
| 261 | C2×Q16 | — | 142 | 4 | no | — |
| 262 | C2×Q16 | — | 142 | 1 | no | — |
| 263 | C2×Q16 | C22×D71 | 1 | 1 | yes | characteristic |
| 264 | C2×SD16 | — | 2 | 1 | no | — |
| 265 | C2×SD16 | — | 284 | 4 | no | — |
| 266 | C2×SD16 | — | 142 | 1 | no | — |
| 267 | C2×SD16 | — | 142 | 1 | no | — |
| 268 | C2×SD16 | — | 142 | 1 | no | — |
| 269 | C2×D8 | — | 71 | 1 | no | — |
| 270 | C2×D8 | — | 142 | 4 | no | — |
| 271 | C2×D8 | — | 142 | 1 | no | — |
| 272 | C2×D8 | C22×D71 | 1 | 1 | yes | characteristic |
| 273 | C22×C8 | — | 71 | 1 | no | — |
| 274 | C22×C8 | — | 71 | 1 | no | — |
| 275 | C4⋊Q8 | — | 2 | 1 | no | — |
| 276 | C4⋊Q8 | — | 284 | 1 | no | — |
| 277 | C4⋊Q8 | — | 284 | 1 | no | — |
| 278 | C4⋊Q8 | — | 142 | 2 | no | — |
| 279 | C4⋊Q8 | — | 142 | 1 | no | — |
| 280 | #124 | — | 2 | 1 | no | — |
| 281 | #124 | — | 284 | 1 | no | — |
| 282 | #124 | — | 284 | 1 | no | — |
| 283 | #124 | — | 142 | 1 | no | — |
| 284 | #124 | — | 142 | 1 | no | — |
| 285 | #124 | — | 142 | 1 | no | — |
| 286 | C2×C4⋊C4 | — | 284 | 1 | no | — |
| 287 | C2×C4⋊C4 | — | 142 | 2 | no | — |
| 288 | C2×C22⋊C4 | — | 284 | 1 | no | — |
| 289 | C2×C22⋊C4 | — | 284 | 1 | no | — |
| 290 | C2×C42 | — | 71 | 1 | no | — |
| 291 | C2×C16 | — | 71 | 2 | no | — |
| 292 | C2×C16 | — | 142 | 4 | no | — |
| 293 | C2×C16 | C22×D71 | 1 | 2 | yes | — |
| 294 | #107 | — | 2 | 1 | no | — |
| 295 | #107 | — | 71 | 2 | no | — |
| 296 | #107 | — | 142 | 2 | no | — |
| 297 | #107 | — | 142 | 2 | no | — |
| 298 | #107 | — | 142 | 1 | no | — |
| 299 | #107 | C22×D71 | 1 | 2 | yes | — |
| 300 | C4×C8 | — | 71 | 1 | no | — |
| 301 | C4×C8 | — | 71 | 1 | no | — |
| 302 | C4×C8 | — | 71 | 1 | no | — |
| 303 | C4×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 304 | C24 | — | 284 | 1 | no | — |
| 305 | C2×Q8 | — | 2 | 1 | no | — |
| 306 | C2×Q8 | — | 4 | 1 | no | — |
| 307 | C2×Q8 | — | 284 | 1 | no | — |
| 308 | C2×Q8 | — | 284 | 2 | no | — |
| 309 | C2×Q8 | — | 284 | 1 | no | — |
| 310 | C2×Q8 | — | 284 | 2 | no | — |
| 311 | C2×Q8 | — | 284 | 2 | no | — |
| 312 | C2×Q8 | — | 568 | 4 | no | — |
| 313 | C2×Q8 | — | 142 | 1 | no | — |
| 314 | C2×D4 | — | 2 | 1 | no | — |
| 315 | C2×D4 | — | 284 | 2 | no | — |
| 316 | C2×D4 | — | 284 | 2 | no | — |
| 317 | C2×D4 | — | 284 | 1 | no | — |
| 318 | C2×D4 | — | 142 | 1 | no | — |
| 319 | C22×C4 | — | 284 | 1 | no | — |
| 320 | C22×C4 | — | 284 | 2 | no | — |
| 321 | C22×C4 | — | 71 | 1 | no | — |
| 322 | C22×C4 | — | 71 | 1 | no | — |
| 323 | C22×C4 | — | 71 | 1 | no | — |
| 324 | Q16 | — | 2 | 2 | no | — |
| 325 | Q16 | — | 284 | 2 | no | — |
| 326 | Q16 | — | 142 | 2 | no | — |
| 327 | SD16 | — | 4 | 2 | no | — |
| 328 | SD16 | — | 284 | 2 | no | — |
| 329 | SD16 | — | 284 | 2 | no | — |
| 330 | SD16 | — | 284 | 2 | no | — |
| 331 | D8 | — | 2 | 2 | no | — |
| 332 | D8 | — | 284 | 2 | no | — |
| 333 | D8 | — | 142 | 2 | no | — |
| 334 | C2×C8 | — | 71 | 1 | no | — |
| 335 | C2×C8 | — | 71 | 1 | no | — |
| 336 | C2×C8 | — | 71 | 4 | no | — |
| 337 | C2×C8 | — | 71 | 4 | no | — |
| 338 | C2×C8 | D4×D71 | 1 | 1 | yes | characteristic |
| 339 | C2×C8 | C23×D71 | 1 | 1 | yes | characteristic |
| 340 | C4⋊C4 | — | 2 | 2 | no | — |
| 341 | C4⋊C4 | — | 4 | 1 | no | — |
| 342 | C4⋊C4 | — | 284 | 2 | no | — |
| 343 | C4⋊C4 | — | 284 | 2 | no | — |
| 344 | C4⋊C4 | — | 284 | 1 | no | — |
| 345 | C4⋊C4 | — | 142 | 2 | no | — |
| 346 | C22⋊C4 | — | 4 | 1 | no | — |
| 347 | C22⋊C4 | — | 4 | 1 | no | — |
| 348 | C22⋊C4 | — | 284 | 1 | no | — |
| 349 | C22⋊C4 | — | 284 | 1 | no | — |
| 350 | C22⋊C4 | — | 284 | 1 | no | — |
| 351 | C22⋊C4 | — | 284 | 1 | no | — |
| 352 | C22⋊C4 | — | 284 | 1 | no | — |
| 353 | C22⋊C4 | — | 284 | 1 | no | — |
| 354 | C42 | — | 71 | 1 | no | — |
| 355 | C42 | — | 71 | 1 | no | — |
| 356 | C42 | — | 71 | 1 | no | — |
| 357 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 358 | C16 | — | 2 | 2 | no | — |
| 359 | C16 | — | 142 | 2 | no | — |
| 360 | C23 | — | 4 | 1 | no | — |
| 361 | C23 | — | 284 | 1 | no | — |
| 362 | C23 | — | 568 | 2 | no | — |
| 363 | C23 | — | 568 | 2 | no | — |
| 364 | C23 | — | 568 | 2 | no | — |
| 365 | C23 | — | 71 | 1 | no | — |
| 366 | Q8 | — | 4 | 1 | no | — |
| 367 | Q8 | — | 4 | 1 | no | — |
| 368 | Q8 | — | 8 | 2 | no | — |
| 369 | Q8 | — | 284 | 1 | no | — |
| 370 | Q8 | — | 284 | 1 | no | — |
| 371 | Q8 | — | 568 | 2 | no | — |
| 372 | Q8 | — | 568 | 2 | no | — |
| 373 | Q8 | — | 568 | 4 | no | — |
| 374 | D4 | — | 4 | 1 | no | — |
| 375 | D4 | — | 4 | 1 | no | — |
| 376 | D4 | — | 284 | 1 | no | — |
| 377 | D4 | — | 284 | 1 | no | — |
| 378 | D4 | — | 568 | 2 | no | — |
| 379 | C2×C4 | — | 4 | 1 | no | — |
| 380 | C2×C4 | — | 4 | 2 | no | — |
| 381 | C2×C4 | — | 284 | 1 | no | — |
| 382 | C2×C4 | — | 284 | 2 | no | — |
| 383 | C2×C4 | — | 568 | 2 | no | — |
| 384 | C2×C4 | — | 568 | 4 | no | — |
| 385 | C2×C4 | — | 71 | 1 | no | — |
| 386 | C2×C4 | — | 71 | 2 | no | — |
| 387 | C2×C4 | — | 71 | 2 | no | — |
| 388 | C2×C4 | — | 71 | 1 | no | — |
| 389 | C2×C4 | — | 71 | 1 | no | — |
| 390 | C2×C4 | — | 142 | 2 | no | — |
| 391 | C2×C4 | — | 142 | 2 | no | — |
| 392 | C2×C4 | D8×D71 | 1 | 1 | yes | characteristic |
| 393 | C2×C4 | D8×D71 | 1 | 1 | yes | characteristic |
| 394 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 395 | C8 | — | 71 | 2 | no | — |
| 396 | C8 | — | 71 | 2 | no | — |
| 397 | C8 | SD16×D71 | 1 | 2 | yes | — |
| 398 | C8 | #41×D71 | 1 | 2 | yes | — |
| 399 | C22 | — | 8 | 1 | no | — |
| 400 | C22 | — | 8 | 1 | no | — |
| 401 | C22 | — | 8 | 1 | no | — |
| 402 | C22 | — | 568 | 1 | no | — |
| 403 | C22 | — | 568 | 1 | no | — |
| 404 | C22 | — | 568 | 1 | no | — |
| 405 | C22 | — | 71 | 2 | no | — |
| 406 | C22 | — | 71 | 2 | no | — |
| 407 | C22 | — | 71 | 2 | no | — |
| 408 | C22 | — | 1136 | 4 | no | — |
| 409 | C22 | C2×D8×D71 | 1 | 1 | yes | characteristic |
| 410 | C4 | — | 2 | 1 | no | — |
| 411 | C4 | — | 2 | 1 | no | — |
| 412 | C4 | — | 8 | 1 | no | — |
| 413 | C4 | — | 8 | 2 | no | — |
| 414 | C4 | — | 568 | 1 | no | — |
| 415 | C4 | — | 568 | 2 | no | — |
| 416 | C4 | — | 71 | 2 | no | — |
| 417 | C4 | — | 142 | 1 | no | — |
| 418 | C4 | — | 142 | 1 | no | — |
| 419 | C4 | #124×D71 | 1 | 1 | yes | characteristic |
| 420 | C4 | C2×SD16×D71 | 1 | 1 | yes | characteristic |
| 421 | C2 | — | 16 | 1 | no | — |
| 422 | C2 | — | 71 | 4 | no | — |
| 423 | C2 | — | 1136 | 1 | no | — |
| 424 | C2 | #486×D71 | 1 | 1 | yes | characteristic |
| 425 | C2 | #509×D71 | 1 | 1 | yes | characteristic |
| 426 | C2 | #510×D71 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta