| 1 | #22598764 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#17985810 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#17985809 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#17985808 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | M32×Dic71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22588501 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#360×C71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#14556150 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×#14556148 | — | 2 | 1 | no | — |
| 10 | #17986545 | — | 2 | 1 | no | — |
| 11 | C2×#14556068 | C22 | 1 | 1 | yes | characteristic |
| 12 | #17986384 | C4 | 1 | 1 | yes | characteristic, complemented |
| 13 | #17986382 | C4 | 1 | 1 | yes | characteristic, complemented |
| 14 | #17986380 | — | 2 | 1 | no | — |
| 15 | #17986377 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | #17986374 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #17986370 | — | 2 | 1 | no | — |
| 18 | C2×#14556061 | — | 2 | 1 | no | — |
| 19 | C2×#14556060 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C8×Dic71 | C22 | 1 | 1 | yes | characteristic |
| 21 | #17985864 | — | 2 | 1 | no | — |
| 22 | #17985810 | — | 2 | 2 | no | — |
| 23 | #17985809 | — | 2 | 2 | no | — |
| 24 | #17985808 | — | 2 | 2 | no | — |
| 25 | #17985774 | — | 2 | 1 | no | — |
| 26 | C16×Dic71 | — | 2 | 1 | no | — |
| 27 | C2×#135×C71 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×M32×C71 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#106×C71 | C22 | 1 | 1 | yes | characteristic |
| 30 | #360×C71 | — | 2 | 2 | no | — |
| 31 | C2×#11765865 | — | 2 | 1 | no | — |
| 32 | #14556150 | — | 2 | 1 | no | — |
| 33 | #14556150 | — | 2 | 1 | no | — |
| 34 | #14556150 | — | 2 | 1 | no | — |
| 35 | #14556150 | — | 2 | 1 | no | — |
| 36 | #14556148 | — | 4 | 2 | no | — |
| 37 | #14556148 | — | 4 | 2 | no | — |
| 38 | C2×Dic284 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | C2×#11765855 | — | 2 | 1 | no | — |
| 40 | C2×#11765854 | — | 2 | 1 | no | — |
| 41 | C2×#11765853 | — | 2 | 1 | no | — |
| 42 | C2×#11765852 | — | 2 | 1 | no | — |
| 43 | C2×D568 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C2×#11765850 | — | 2 | 1 | no | — |
| 45 | C22×C71⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 46 | #14556126 | — | 2 | 1 | no | — |
| 47 | #14556124 | — | 2 | 1 | no | — |
| 48 | #14556117 | — | 2 | 1 | no | — |
| 49 | #14556115 | — | 2 | 1 | no | — |
| 50 | #14556100 | — | 4 | 2 | no | — |
| 51 | C4×C22⋊D71 | — | 4 | 2 | no | — |
| 52 | C2×C4⋊Dic71 | — | 2 | 1 | no | — |
| 53 | C2×C4×Dic71 | D4 | 1 | 1 | yes | characteristic |
| 54 | #14556068 | — | 2 | 1 | no | — |
| 55 | #14556068 | D4 | 1 | 2 | yes | complemented |
| 56 | C2×C71⋊C16 | — | 2 | 1 | no | — |
| 57 | #14556061 | — | 4 | 2 | no | — |
| 58 | #14556060 | — | 2 | 1 | no | — |
| 59 | #14556060 | — | 2 | 1 | no | — |
| 60 | C8×Dic71 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | C8×Dic71 | C2×C4 | 1 | 1 | yes | characteristic |
| 62 | C8×Dic71 | D4 | 1 | 1 | yes | characteristic |
| 63 | C8×Dic71 | D4 | 1 | 1 | yes | characteristic |
| 64 | C71⋊#95 | — | 4 | 2 | no | — |
| 65 | C2×#41×C71 | — | 2 | 1 | no | — |
| 66 | #135×C71 | — | 2 | 1 | no | — |
| 67 | #135×C71 | — | 2 | 1 | no | — |
| 68 | #135×C71 | — | 2 | 1 | no | — |
| 69 | #135×C71 | — | 2 | 1 | no | — |
| 70 | C2×Q16×C71 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 72 | C2×D8×C71 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | C22×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×C4⋊C4×C71 | — | 2 | 1 | no | — |
| 75 | M32×C71 | — | 2 | 1 | no | — |
| 76 | M32×C71 | D4 | 1 | 2 | yes | complemented |
| 77 | C2×C16×C71 | — | 2 | 1 | no | — |
| 78 | #106×C71 | — | 2 | 1 | no | — |
| 79 | #106×C71 | — | 2 | 1 | no | — |
| 80 | #11765865 | — | 4 | 1 | no | — |
| 81 | #11765865 | — | 4 | 1 | no | — |
| 82 | #11765865 | — | 4 | 1 | no | — |
| 83 | #11765865 | — | 4 | 1 | no | — |
| 84 | C2×Dic142 | — | 2 | 1 | no | — |
| 85 | C2×D284 | — | 2 | 1 | no | — |
| 86 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 87 | C2×C22⋊D71 | — | 4 | 2 | no | — |
| 88 | C22×Dic71 | — | 4 | 1 | no | — |
| 89 | C22×Dic71 | D8 | 1 | 2 | yes | — |
| 90 | C2×C4×D71 | — | 4 | 1 | no | — |
| 91 | Dic284 | — | 2 | 1 | no | — |
| 92 | Dic284 | — | 2 | 1 | no | — |
| 93 | #11765855 | — | 4 | 2 | no | — |
| 94 | #11765854 | — | 4 | 1 | no | — |
| 95 | #11765854 | — | 4 | 1 | no | — |
| 96 | #11765853 | — | 4 | 2 | no | — |
| 97 | #11765852 | — | 4 | 2 | no | — |
| 98 | D568 | — | 2 | 1 | no | — |
| 99 | D568 | — | 2 | 1 | no | — |
| 100 | #11765850 | — | 4 | 2 | no | — |
| 101 | C2×C71⋊C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 102 | C2×C71⋊C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 103 | C2×C71⋊C8 | D8 | 1 | 2 | yes | — |
| 104 | C2×C71⋊C8 | SD16 | 1 | 2 | yes | — |
| 105 | C4⋊Dic71 | — | 4 | 1 | no | — |
| 106 | C4⋊Dic71 | — | 4 | 1 | no | — |
| 107 | Dic71⋊C4 | — | 4 | 2 | no | — |
| 108 | C22⋊Dic71 | — | 4 | 2 | no | — |
| 109 | (C2×D71)⋊C4 | — | 4 | 2 | no | — |
| 110 | C4×Dic71 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 111 | C4×Dic71 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 112 | C4×Dic71 | SD16 | 1 | 2 | yes | — |
| 113 | C71⋊C16 | — | 2 | 2 | no | — |
| 114 | #41×C71 | — | 4 | 1 | no | — |
| 115 | #41×C71 | — | 4 | 1 | no | — |
| 116 | #41×C71 | — | 4 | 1 | no | — |
| 117 | #41×C71 | — | 4 | 1 | no | — |
| 118 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 119 | C2×D4×C71 | — | 2 | 1 | no | — |
| 120 | C2×D4×C71 | — | 4 | 1 | no | — |
| 121 | C22×C4×C71 | — | 4 | 1 | no | — |
| 122 | C22×C4×C71 | — | 4 | 1 | no | — |
| 123 | C22×C4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | Q16×C71 | — | 2 | 1 | no | — |
| 125 | Q16×C71 | — | 2 | 1 | no | — |
| 126 | SD16×C71 | — | 4 | 1 | no | — |
| 127 | SD16×C71 | — | 4 | 1 | no | — |
| 128 | D8×C71 | — | 2 | 1 | no | — |
| 129 | D8×C71 | — | 2 | 1 | no | — |
| 130 | C2×C8×C71 | C22×C4 | 1 | 1 | yes | characteristic |
| 131 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 132 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 133 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 134 | C2×C8×C71 | #41 | 1 | 1 | yes | characteristic |
| 135 | C2×C8×C71 | #41 | 1 | 1 | yes | characteristic |
| 136 | C4⋊C4×C71 | — | 4 | 1 | no | — |
| 137 | C4⋊C4×C71 | — | 4 | 1 | no | — |
| 138 | C16×C71 | — | 2 | 2 | no | — |
| 139 | C23×C71 | — | 4 | 1 | no | — |
| 140 | C23×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 141 | C22×D71 | — | 4 | 1 | no | — |
| 142 | Q8×C71 | — | 4 | 1 | no | — |
| 143 | Q8×C71 | — | 4 | 1 | no | — |
| 144 | D4×C71 | — | 4 | 1 | no | — |
| 145 | D4×C71 | — | 4 | 1 | no | — |
| 146 | D4×C71 | — | 8 | 1 | no | — |
| 147 | D4×C71 | — | 8 | 1 | no | — |
| 148 | C2×C4×C71 | — | 4 | 1 | no | — |
| 149 | C2×C4×C71 | — | 8 | 1 | no | — |
| 150 | C2×C4×C71 | — | 8 | 1 | no | — |
| 151 | C2×C4×C71 | — | 8 | 2 | no | — |
| 152 | C2×C4×C71 | — | 8 | 1 | no | — |
| 153 | C2×C4×C71 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 154 | C2×C4×C71 | #124 | 1 | 1 | yes | characteristic |
| 155 | C2×C4×C71 | #127 | 1 | 1 | yes | characteristic |
| 156 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 157 | C2×C4×C71 | C2×SD16 | 1 | 1 | yes | characteristic |
| 158 | C2×C4×C71 | C2×SD16 | 1 | 1 | yes | characteristic |
| 159 | C22⋊D71 | — | 8 | 4 | no | — |
| 160 | C22⋊D71 | — | 8 | 1 | no | — |
| 161 | C22⋊D71 | — | 8 | 1 | no | — |
| 162 | C2×Dic71 | — | 4 | 2 | no | — |
| 163 | C2×Dic71 | — | 4 | 1 | no | — |
| 164 | C2×Dic71 | — | 8 | 2 | no | — |
| 165 | C2×Dic71 | — | 8 | 1 | no | — |
| 166 | C2×Dic71 | #102 | 1 | 2 | yes | — |
| 167 | C2×Dic71 | #102 | 1 | 2 | yes | — |
| 168 | D284 | — | 4 | 1 | no | — |
| 169 | D284 | — | 4 | 1 | no | — |
| 170 | C4×D71 | — | 8 | 1 | no | — |
| 171 | C4×D71 | — | 8 | 1 | no | — |
| 172 | Dic142 | — | 4 | 1 | no | — |
| 173 | Dic142 | — | 4 | 1 | no | — |
| 174 | C8×C71 | C4×D4 | 1 | 1 | yes | characteristic |
| 175 | C8×C71 | C4×D4 | 1 | 1 | yes | characteristic |
| 176 | C8×C71 | #121 | 1 | 1 | yes | characteristic |
| 177 | C8×C71 | #121 | 1 | 1 | yes | characteristic |
| 178 | C71⋊C8 | #102 | 1 | 2 | yes | — |
| 179 | C71⋊C8 | #102 | 1 | 2 | yes | — |
| 180 | C22×C71 | — | 2 | 2 | no | — |
| 181 | C22×C71 | — | 8 | 2 | no | — |
| 182 | C22×C71 | — | 8 | 1 | no | — |
| 183 | C22×C71 | C2×#102 | 1 | 1 | yes | characteristic |
| 184 | C22×C71 | #486 | 1 | 1 | yes | characteristic |
| 185 | C22×C71 | #493 | 1 | 1 | yes | characteristic |
| 186 | C2×D71 | — | 8 | 2 | no | — |
| 187 | C2×D71 | — | 8 | 1 | no | — |
| 188 | C4×C71 | — | 8 | 1 | no | — |
| 189 | C4×C71 | — | 16 | 1 | no | — |
| 190 | C4×C71 | #390 | 1 | 1 | yes | characteristic |
| 191 | C4×C71 | C2×#102 | 1 | 1 | yes | characteristic |
| 192 | C4×C71 | #486 | 1 | 1 | yes | characteristic |
| 193 | C4×C71 | #492 | 1 | 1 | yes | characteristic |
| 194 | Dic71 | — | 2 | 2 | no | — |
| 195 | Dic71 | — | 2 | 2 | no | — |
| 196 | Dic71 | — | 8 | 1 | no | — |
| 197 | Dic71 | — | 16 | 1 | no | — |
| 198 | #13211 | — | 71 | 1 | no | maximal, Sylow |
| 199 | C2×C71 | — | 2 | 1 | no | — |
| 200 | C2×C71 | — | 2 | 1 | no | — |
| 201 | C2×C71 | — | 16 | 1 | no | — |
| 202 | C2×C71 | #1957 | 1 | 1 | yes | characteristic |
| 203 | C2×C71 | #2145 | 1 | 2 | yes | — |
| 204 | D71 | — | 16 | 1 | no | — |
| 205 | #3147 | — | 71 | 1 | no | — |
| 206 | C2×#360 | — | 71 | 1 | no | — |
| 207 | C2×#360 | — | 71 | 1 | no | — |
| 208 | C2×#360 | — | 71 | 1 | no | — |
| 209 | C2×#360 | D71 | 1 | 1 | yes | characteristic, complemented |
| 210 | C4×M32 | — | 71 | 1 | no | — |
| 211 | #1846 | — | 71 | 1 | no | — |
| 212 | C71 | #13211 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 213 | C2×#135 | — | 71 | 1 | no | — |
| 214 | C2×#135 | — | 142 | 1 | no | — |
| 215 | C2×#135 | C2×D71 | 1 | 1 | yes | characteristic |
| 216 | #532 | — | 142 | 1 | no | — |
| 217 | C2×M32 | — | 71 | 1 | no | — |
| 218 | C2×M32 | C2×D71 | 1 | 1 | yes | characteristic |
| 219 | #495 | — | 71 | 1 | no | — |
| 220 | #495 | — | 71 | 1 | no | — |
| 221 | #495 | — | 142 | 1 | no | — |
| 222 | #494 | — | 71 | 1 | no | — |
| 223 | #493 | — | 71 | 1 | no | — |
| 224 | #492 | — | 142 | 1 | no | — |
| 225 | C2×#107 | — | 142 | 1 | no | — |
| 226 | C2×#106 | — | 71 | 1 | no | — |
| 227 | C2×#106 | C2×D71 | 1 | 1 | yes | characteristic |
| 228 | C2×C4×C8 | — | 71 | 1 | no | — |
| 229 | #382 | — | 142 | 1 | no | — |
| 230 | #360 | — | 2 | 2 | no | — |
| 231 | #360 | — | 142 | 2 | no | — |
| 232 | #360 | — | 142 | 2 | no | — |
| 233 | #360 | — | 142 | 2 | no | — |
| 234 | #346 | — | 142 | 1 | no | — |
| 235 | C4×C16 | — | 142 | 1 | no | — |
| 236 | C2×#41 | — | 2 | 1 | no | — |
| 237 | C2×#41 | — | 142 | 1 | no | — |
| 238 | #135 | — | 2 | 1 | no | — |
| 239 | #135 | — | 2 | 1 | no | — |
| 240 | #135 | — | 2 | 1 | no | — |
| 241 | #135 | — | 2 | 1 | no | — |
| 242 | #135 | — | 284 | 2 | no | — |
| 243 | #135 | — | 284 | 2 | no | — |
| 244 | #135 | — | 142 | 1 | no | — |
| 245 | #135 | — | 142 | 1 | no | — |
| 246 | #135 | — | 142 | 1 | no | — |
| 247 | #135 | — | 142 | 1 | no | — |
| 248 | C2×Q16 | — | 71 | 1 | no | — |
| 249 | C2×Q16 | — | 142 | 1 | no | — |
| 250 | C2×Q16 | C4×D71 | 1 | 1 | yes | characteristic |
| 251 | C2×SD16 | — | 2 | 1 | no | — |
| 252 | C2×SD16 | — | 142 | 1 | no | — |
| 253 | C2×SD16 | — | 142 | 1 | no | — |
| 254 | C2×SD16 | — | 142 | 1 | no | — |
| 255 | C2×D8 | — | 71 | 1 | no | — |
| 256 | C2×D8 | — | 142 | 1 | no | — |
| 257 | C2×D8 | C4×D71 | 1 | 1 | yes | characteristic |
| 258 | C22×C8 | — | 71 | 1 | no | — |
| 259 | C22×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 260 | C4⋊Q8 | — | 142 | 1 | no | — |
| 261 | #127 | — | 142 | 1 | no | — |
| 262 | #124 | — | 142 | 1 | no | — |
| 263 | #124 | — | 142 | 1 | no | — |
| 264 | #121 | — | 284 | 2 | no | — |
| 265 | C4×D4 | — | 284 | 2 | no | — |
| 266 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 267 | C2×C4⋊C4 | — | 142 | 1 | no | — |
| 268 | C2×C42 | — | 71 | 1 | no | — |
| 269 | M32 | — | 2 | 1 | no | — |
| 270 | M32 | — | 71 | 2 | no | — |
| 271 | M32 | — | 142 | 1 | no | — |
| 272 | M32 | C22⋊D71 | 1 | 2 | yes | complemented |
| 273 | C2×C16 | — | 2 | 1 | no | — |
| 274 | C2×C16 | — | 142 | 1 | no | — |
| 275 | #107 | — | 284 | 2 | no | — |
| 276 | #106 | — | 2 | 1 | no | — |
| 277 | #106 | — | 2 | 1 | no | — |
| 278 | #106 | — | 142 | 1 | no | — |
| 279 | #106 | — | 142 | 1 | no | — |
| 280 | C4×C8 | — | 71 | 1 | no | — |
| 281 | C4×C8 | — | 71 | 1 | no | — |
| 282 | C4×C8 | — | 71 | 1 | no | — |
| 283 | C4×C8 | — | 71 | 1 | no | — |
| 284 | #95 | — | 284 | 2 | no | — |
| 285 | #41 | — | 4 | 1 | no | — |
| 286 | #41 | — | 4 | 1 | no | — |
| 287 | #41 | — | 4 | 1 | no | — |
| 288 | #41 | — | 4 | 1 | no | — |
| 289 | #41 | — | 284 | 1 | no | — |
| 290 | #41 | — | 284 | 1 | no | — |
| 291 | #41 | — | 284 | 1 | no | — |
| 292 | #41 | — | 284 | 1 | no | — |
| 293 | C2×Q8 | — | 2 | 1 | no | — |
| 294 | C2×Q8 | — | 142 | 1 | no | — |
| 295 | C2×D4 | — | 2 | 1 | no | — |
| 296 | C2×D4 | — | 4 | 1 | no | — |
| 297 | C2×D4 | — | 284 | 1 | no | — |
| 298 | C2×D4 | — | 284 | 2 | no | — |
| 299 | C2×D4 | — | 142 | 1 | no | — |
| 300 | C22×C4 | — | 4 | 1 | no | — |
| 301 | C22×C4 | — | 4 | 1 | no | — |
| 302 | C22×C4 | — | 284 | 1 | no | — |
| 303 | C22×C4 | — | 284 | 1 | no | — |
| 304 | C22×C4 | — | 71 | 2 | no | — |
| 305 | C22×C4 | D4×D71 | 1 | 1 | yes | characteristic |
| 306 | Q16 | — | 2 | 1 | no | — |
| 307 | Q16 | — | 2 | 1 | no | — |
| 308 | Q16 | — | 284 | 2 | no | — |
| 309 | Q16 | — | 142 | 1 | no | — |
| 310 | Q16 | — | 142 | 1 | no | — |
| 311 | SD16 | — | 4 | 1 | no | — |
| 312 | SD16 | — | 4 | 1 | no | — |
| 313 | SD16 | — | 284 | 2 | no | — |
| 314 | SD16 | — | 284 | 2 | no | — |
| 315 | SD16 | — | 284 | 1 | no | — |
| 316 | SD16 | — | 284 | 1 | no | — |
| 317 | D8 | — | 2 | 1 | no | — |
| 318 | D8 | — | 2 | 1 | no | — |
| 319 | D8 | — | 284 | 2 | no | — |
| 320 | D8 | — | 142 | 1 | no | — |
| 321 | D8 | — | 142 | 1 | no | — |
| 322 | C2×C8 | — | 71 | 1 | no | — |
| 323 | C2×C8 | — | 71 | 1 | no | — |
| 324 | C2×C8 | — | 71 | 2 | no | — |
| 325 | C2×C8 | — | 71 | 2 | no | — |
| 326 | C2×C8 | C2×C4×D71 | 1 | 1 | yes | characteristic |
| 327 | C2×C8 | D4×D71 | 1 | 1 | yes | characteristic |
| 328 | C2×C8 | D4×D71 | 1 | 1 | yes | characteristic |
| 329 | C2×C8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 330 | C2×C8 | #11765864 | 1 | 1 | yes | characteristic |
| 331 | C2×C8 | #11765865 | 1 | 1 | yes | characteristic |
| 332 | C4⋊C4 | — | 4 | 1 | no | — |
| 333 | C4⋊C4 | — | 4 | 1 | no | — |
| 334 | C4⋊C4 | — | 284 | 2 | no | — |
| 335 | C4⋊C4 | — | 284 | 1 | no | — |
| 336 | C4⋊C4 | — | 284 | 1 | no | — |
| 337 | C22⋊C4 | — | 284 | 2 | no | — |
| 338 | C22⋊C4 | — | 284 | 2 | no | — |
| 339 | C42 | — | 71 | 1 | no | — |
| 340 | C42 | — | 71 | 1 | no | — |
| 341 | C42 | — | 71 | 2 | no | — |
| 342 | C16 | — | 2 | 2 | no | — |
| 343 | C16 | — | 142 | 2 | no | — |
| 344 | C23 | — | 4 | 1 | no | — |
| 345 | C23 | — | 284 | 1 | no | — |
| 346 | C23 | D8×D71 | 1 | 1 | yes | characteristic |
| 347 | Q8 | — | 4 | 1 | no | — |
| 348 | Q8 | — | 4 | 1 | no | — |
| 349 | Q8 | — | 284 | 1 | no | — |
| 350 | Q8 | — | 284 | 1 | no | — |
| 351 | D4 | — | 4 | 1 | no | — |
| 352 | D4 | — | 4 | 1 | no | — |
| 353 | D4 | — | 8 | 1 | no | — |
| 354 | D4 | — | 8 | 1 | no | — |
| 355 | D4 | — | 284 | 1 | no | — |
| 356 | D4 | — | 284 | 1 | no | — |
| 357 | D4 | — | 568 | 1 | no | — |
| 358 | D4 | — | 568 | 1 | no | — |
| 359 | D4 | — | 568 | 4 | no | — |
| 360 | C2×C4 | — | 4 | 1 | no | — |
| 361 | C2×C4 | — | 8 | 1 | no | — |
| 362 | C2×C4 | — | 8 | 1 | no | — |
| 363 | C2×C4 | — | 8 | 2 | no | — |
| 364 | C2×C4 | — | 8 | 1 | no | — |
| 365 | C2×C4 | — | 284 | 1 | no | — |
| 366 | C2×C4 | — | 284 | 2 | no | — |
| 367 | C2×C4 | — | 568 | 1 | no | — |
| 368 | C2×C4 | — | 568 | 1 | no | — |
| 369 | C2×C4 | — | 568 | 2 | no | — |
| 370 | C2×C4 | — | 568 | 1 | no | — |
| 371 | C2×C4 | — | 71 | 2 | no | — |
| 372 | C2×C4 | — | 71 | 2 | no | — |
| 373 | C2×C4 | C22⋊C4×D71 | 1 | 1 | yes | characteristic |
| 374 | C2×C4 | #14556114 | 1 | 1 | yes | characteristic |
| 375 | C2×C4 | #14556124 | 1 | 1 | yes | characteristic |
| 376 | C2×C4 | D8×D71 | 1 | 1 | yes | characteristic |
| 377 | C2×C4 | SD16×D71 | 1 | 1 | yes | characteristic |
| 378 | C2×C4 | SD16×D71 | 1 | 1 | yes | characteristic |
| 379 | C8 | — | 71 | 2 | no | — |
| 380 | C8 | — | 71 | 2 | no | — |
| 381 | C8 | (C22⋊D71)⋊C4 | 1 | 1 | yes | characteristic |
| 382 | C8 | C4×C22⋊D71 | 1 | 1 | yes | characteristic |
| 383 | C8 | #14556100 | 1 | 1 | yes | characteristic |
| 384 | C8 | #14556101 | 1 | 1 | yes | characteristic |
| 385 | C22 | — | 2 | 2 | no | — |
| 386 | C22 | — | 8 | 2 | no | — |
| 387 | C22 | — | 8 | 1 | no | — |
| 388 | C22 | — | 568 | 2 | no | — |
| 389 | C22 | — | 568 | 1 | no | — |
| 390 | C22 | #102×D71 | 1 | 1 | yes | characteristic |
| 391 | C22 | #17986344 | 1 | 1 | yes | characteristic |
| 392 | C22 | #17986374 | 1 | 1 | yes | characteristic |
| 393 | C4 | — | 8 | 1 | no | — |
| 394 | C4 | — | 16 | 1 | no | — |
| 395 | C4 | — | 568 | 1 | no | — |
| 396 | C4 | — | 1136 | 1 | no | — |
| 397 | C4 | — | 142 | 2 | no | — |
| 398 | C4 | — | 142 | 2 | no | — |
| 399 | C4 | #17985899 | 1 | 1 | yes | characteristic |
| 400 | C4 | #102×D71 | 1 | 1 | yes | characteristic |
| 401 | C4 | #17986344 | 1 | 1 | yes | characteristic |
| 402 | C4 | #17986370 | 1 | 1 | yes | characteristic |
| 403 | C2 | — | 2 | 1 | no | — |
| 404 | C2 | — | 2 | 1 | no | — |
| 405 | C2 | — | 16 | 1 | no | — |
| 406 | C2 | — | 1136 | 1 | no | — |
| 407 | C2 | #22589144 | 1 | 1 | yes | characteristic |
| 408 | C2 | #22590074 | 1 | 2 | yes | — |
Finite Group Databasebeta