| 1 | #22601353 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22590607 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22590604 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22590599 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22590402 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22590399 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22590395 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22590392 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22590375 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22590372 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22590249 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22590204 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22590202 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C4×#14556069 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#3396 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #17986734 | — | 2 | 1 | no | — |
| 17 | C2×#14556074 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14556072 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#14556072 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#14556071 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#14556071 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#14556069 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#14556069 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#14556069 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#14556069 | C22 | 1 | 1 | yes | characteristic |
| 26 | #17986383 | C22 | 1 | 1 | yes | characteristic |
| 27 | #17986383 | C22 | 1 | 1 | yes | characteristic |
| 28 | #17986376 | C22 | 1 | 1 | yes | characteristic |
| 29 | #17986215 | — | 2 | 1 | no | — |
| 30 | #17986215 | — | 2 | 1 | no | — |
| 31 | #17986200 | — | 2 | 1 | no | — |
| 32 | C4×Dic284 | C22 | 1 | 1 | yes | characteristic |
| 33 | C4×D568 | C22 | 1 | 1 | yes | characteristic |
| 34 | C4×D568 | C22 | 1 | 1 | yes | characteristic |
| 35 | #17985824 | C22 | 1 | 1 | yes | characteristic |
| 36 | C4⋊(C71⋊C16) | C22 | 1 | 1 | yes | characteristic |
| 37 | C4⋊(C71⋊C16) | C22 | 1 | 1 | yes | characteristic |
| 38 | C4⋊(C71⋊C16) | C22 | 1 | 1 | yes | characteristic |
| 39 | #17985803 | C22 | 1 | 1 | yes | characteristic |
| 40 | #17985802 | C22 | 1 | 1 | yes | characteristic |
| 41 | #17985800 | C22 | 1 | 1 | yes | characteristic |
| 42 | #17985800 | C22 | 1 | 1 | yes | characteristic |
| 43 | #17985799 | C22 | 1 | 1 | yes | characteristic |
| 44 | #17985799 | C22 | 1 | 1 | yes | characteristic |
| 45 | #17985775 | C22 | 1 | 1 | yes | characteristic |
| 46 | #17985775 | C22 | 1 | 1 | yes | characteristic |
| 47 | C4×C71⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 48 | #559×C71 | — | 2 | 1 | no | — |
| 49 | #495×C71 | C22 | 1 | 1 | yes | characteristic |
| 50 | #495×C71 | C22 | 1 | 1 | yes | characteristic |
| 51 | #493×C71 | C22 | 1 | 1 | yes | characteristic |
| 52 | #463×C71 | — | 2 | 1 | no | — |
| 53 | #463×C71 | — | 2 | 1 | no | — |
| 54 | #460×C71 | — | 2 | 1 | no | — |
| 55 | C8×Q8×C71 | C22 | 1 | 1 | yes | characteristic |
| 56 | C4×Q16×C71 | C22 | 1 | 1 | yes | characteristic |
| 57 | C4×D8×C71 | C22 | 1 | 1 | yes | characteristic |
| 58 | C4×D8×C71 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×Dic284 | C23 | 1 | 1 | yes | characteristic |
| 60 | C2×#11765854 | — | 2 | 1 | no | — |
| 61 | C2×#11765854 | — | 2 | 1 | no | — |
| 62 | C2×D568 | — | 2 | 1 | no | — |
| 63 | C2×D568 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×D568 | C23 | 1 | 1 | yes | characteristic |
| 65 | #14556125 | — | 2 | 1 | no | — |
| 66 | #14556117 | — | 4 | 1 | no | — |
| 67 | #14556116 | — | 2 | 1 | no | — |
| 68 | #14556116 | — | 2 | 1 | no | — |
| 69 | #14556113 | — | 4 | 1 | no | — |
| 70 | #14556113 | — | 4 | 1 | no | — |
| 71 | C4×Dic142 | — | 2 | 1 | no | — |
| 72 | C4×D284 | — | 2 | 1 | no | — |
| 73 | C4×D284 | — | 2 | 1 | no | — |
| 74 | #14556090 | — | 4 | 1 | no | — |
| 75 | #14556074 | — | 4 | 1 | no | — |
| 76 | #14556072 | — | 2 | 2 | no | — |
| 77 | #14556072 | — | 4 | 1 | no | — |
| 78 | #14556071 | — | 2 | 2 | no | — |
| 79 | #14556071 | — | 4 | 1 | no | — |
| 80 | #14556069 | — | 2 | 2 | no | — |
| 81 | #14556069 | — | 4 | 1 | no | — |
| 82 | #14556069 | — | 4 | 1 | no | — |
| 83 | #14556069 | — | 4 | 1 | no | — |
| 84 | C2×C71⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C71⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C71⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C71⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 88 | #14556062 | C23 | 1 | 1 | yes | characteristic |
| 89 | #14556053 | — | 2 | 1 | no | — |
| 90 | #14556050 | — | 2 | 1 | no | — |
| 91 | #14556050 | — | 2 | 1 | no | — |
| 92 | C2×Q16×C71 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 94 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 95 | C2×D8×C71 | — | 2 | 1 | no | — |
| 96 | C2×D8×C71 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×D8×C71 | C23 | 1 | 1 | yes | characteristic |
| 98 | #127×C71 | — | 2 | 1 | no | — |
| 99 | #124×C71 | — | 2 | 1 | no | — |
| 100 | #124×C71 | — | 2 | 1 | no | — |
| 101 | #124×C71 | — | 4 | 1 | no | — |
| 102 | #123×C71 | — | 4 | 1 | no | — |
| 103 | #123×C71 | — | 4 | 1 | no | — |
| 104 | C4×Q8×C71 | — | 2 | 1 | no | — |
| 105 | C4×Q8×C71 | D4 | 1 | 1 | yes | characteristic |
| 106 | C4×D4×C71 | — | 2 | 1 | no | — |
| 107 | C4×D4×C71 | — | 2 | 1 | no | — |
| 108 | C4×D4×C71 | — | 4 | 1 | no | — |
| 109 | #107×C71 | C23 | 1 | 1 | yes | characteristic |
| 110 | C4⋊C8×C71 | D4 | 1 | 1 | yes | characteristic |
| 111 | C4⋊C8×C71 | D4 | 1 | 1 | yes | characteristic |
| 112 | C4⋊C8×C71 | D4 | 1 | 1 | yes | characteristic |
| 113 | #103×C71 | — | 2 | 1 | no | — |
| 114 | #102×C71 | — | 2 | 1 | no | — |
| 115 | #102×C71 | — | 2 | 1 | no | — |
| 116 | C4×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 117 | C4×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 118 | C4×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×Dic142 | — | 2 | 1 | no | — |
| 120 | C2×D284 | — | 2 | 1 | no | — |
| 121 | C2×D284 | — | 2 | 1 | no | — |
| 122 | C2×D284 | — | 4 | 1 | no | — |
| 123 | C2×D284 | — | 4 | 1 | no | — |
| 124 | C2×C4×D71 | — | 4 | 1 | no | — |
| 125 | C2×C4×D71 | — | 4 | 1 | no | — |
| 126 | Dic284 | — | 2 | 1 | no | — |
| 127 | Dic284 | — | 2 | 1 | no | — |
| 128 | #11765854 | — | 8 | 1 | no | — |
| 129 | #11765854 | — | 8 | 1 | no | — |
| 130 | D568 | — | 2 | 1 | no | — |
| 131 | D568 | — | 2 | 1 | no | — |
| 132 | D568 | — | 2 | 1 | no | — |
| 133 | D568 | — | 2 | 1 | no | — |
| 134 | D568 | — | 8 | 1 | no | — |
| 135 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 136 | Dic71⋊C4 | — | 4 | 1 | no | — |
| 137 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 138 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 139 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 140 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 141 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 142 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 143 | C4×Dic71 | — | 4 | 1 | no | — |
| 144 | C71⋊C16 | — | 2 | 1 | no | — |
| 145 | C71⋊C16 | — | 2 | 1 | no | — |
| 146 | C71⋊C16 | — | 2 | 1 | no | — |
| 147 | C71⋊C16 | #41 | 1 | 2 | yes | — |
| 148 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 149 | C2×Q8×C71 | D8 | 1 | 1 | yes | characteristic |
| 150 | C2×D4×C71 | — | 2 | 1 | no | — |
| 151 | C2×D4×C71 | — | 2 | 1 | no | — |
| 152 | C2×D4×C71 | — | 4 | 1 | no | — |
| 153 | C2×D4×C71 | — | 4 | 1 | no | — |
| 154 | C22×C4×C71 | — | 4 | 1 | no | — |
| 155 | C22×C4×C71 | — | 4 | 1 | no | — |
| 156 | Q16×C71 | — | 2 | 1 | no | — |
| 157 | Q16×C71 | — | 2 | 1 | no | — |
| 158 | SD16×C71 | — | 8 | 1 | no | — |
| 159 | SD16×C71 | — | 8 | 1 | no | — |
| 160 | D8×C71 | — | 2 | 1 | no | — |
| 161 | D8×C71 | — | 2 | 1 | no | — |
| 162 | D8×C71 | — | 2 | 1 | no | — |
| 163 | D8×C71 | — | 2 | 1 | no | — |
| 164 | D8×C71 | — | 8 | 1 | no | — |
| 165 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 166 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×C8×C71 | C24 | 1 | 1 | yes | characteristic |
| 169 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 170 | C4⋊C4×C71 | — | 4 | 1 | no | — |
| 171 | C4⋊C4×C71 | D8 | 1 | 1 | yes | characteristic |
| 172 | C4⋊C4×C71 | D8 | 1 | 1 | yes | characteristic |
| 173 | C4⋊C4×C71 | D8 | 1 | 1 | yes | characteristic |
| 174 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 175 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 176 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 177 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 178 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 179 | C22⋊C4×C71 | — | 4 | 1 | no | — |
| 180 | C42×C71 | — | 4 | 1 | no | — |
| 181 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C23×C71 | — | 4 | 1 | no | — |
| 185 | C23×C71 | — | 4 | 1 | no | — |
| 186 | C22×D71 | — | 4 | 1 | no | — |
| 187 | C22×D71 | — | 4 | 1 | no | — |
| 188 | Q8×C71 | — | 4 | 1 | no | — |
| 189 | Q8×C71 | — | 4 | 1 | no | — |
| 190 | Q8×C71 | — | 4 | 1 | no | — |
| 191 | D4×C71 | — | 4 | 1 | no | — |
| 192 | D4×C71 | — | 4 | 1 | no | — |
| 193 | D4×C71 | — | 4 | 1 | no | — |
| 194 | D4×C71 | — | 4 | 1 | no | — |
| 195 | D4×C71 | — | 8 | 2 | no | — |
| 196 | D4×C71 | — | 16 | 1 | no | — |
| 197 | C2×C4×C71 | — | 4 | 1 | no | — |
| 198 | C2×C4×C71 | — | 4 | 1 | no | — |
| 199 | C2×C4×C71 | — | 16 | 1 | no | — |
| 200 | C2×C4×C71 | — | 16 | 1 | no | — |
| 201 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 202 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 203 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 204 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 205 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 206 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 207 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 208 | C2×Dic71 | — | 4 | 1 | no | — |
| 209 | C2×Dic71 | — | 4 | 1 | no | — |
| 210 | D284 | — | 4 | 1 | no | — |
| 211 | D284 | — | 4 | 1 | no | — |
| 212 | D284 | — | 4 | 1 | no | — |
| 213 | D284 | — | 4 | 1 | no | — |
| 214 | D284 | — | 8 | 2 | no | — |
| 215 | D284 | — | 16 | 1 | no | — |
| 216 | C4×D71 | — | 16 | 1 | no | — |
| 217 | C4×D71 | — | 16 | 1 | no | — |
| 218 | Dic142 | — | 4 | 1 | no | — |
| 219 | Dic142 | — | 4 | 1 | no | — |
| 220 | C8×C71 | — | 2 | 1 | no | — |
| 221 | C8×C71 | — | 2 | 1 | no | — |
| 222 | C8×C71 | — | 2 | 1 | no | — |
| 223 | C8×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 224 | C8×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 225 | C22×C71 | — | 8 | 1 | no | — |
| 226 | C22×C71 | — | 8 | 1 | no | — |
| 227 | C22×C71 | — | 8 | 1 | no | — |
| 228 | C22×C71 | — | 8 | 1 | no | — |
| 229 | C22×C71 | — | 8 | 1 | no | — |
| 230 | C22×C71 | — | 8 | 1 | no | — |
| 231 | C22×C71 | C22×D8 | 1 | 1 | yes | characteristic |
| 232 | C2×D71 | — | 8 | 1 | no | — |
| 233 | C2×D71 | — | 8 | 1 | no | — |
| 234 | C2×D71 | — | 8 | 1 | no | — |
| 235 | C2×D71 | — | 8 | 1 | no | — |
| 236 | C2×D71 | — | 8 | 1 | no | — |
| 237 | C2×D71 | — | 8 | 1 | no | — |
| 238 | C4×C71 | — | 2 | 1 | no | — |
| 239 | C4×C71 | — | 2 | 1 | no | — |
| 240 | C4×C71 | — | 2 | 1 | no | — |
| 241 | C4×C71 | — | 2 | 1 | no | — |
| 242 | C4×C71 | — | 2 | 1 | no | — |
| 243 | C4×C71 | — | 2 | 1 | no | — |
| 244 | C4×C71 | — | 8 | 1 | no | — |
| 245 | C4×C71 | — | 8 | 1 | no | — |
| 246 | C4×C71 | #550 | 1 | 1 | yes | characteristic |
| 247 | C4×C71 | #576 | 1 | 1 | yes | characteristic |
| 248 | Dic71 | — | 8 | 1 | no | — |
| 249 | Dic71 | — | 8 | 1 | no | — |
| 250 | #33970 | — | 71 | 1 | no | maximal, Sylow |
| 251 | C2×C71 | — | 16 | 1 | no | — |
| 252 | C2×C71 | — | 16 | 1 | no | — |
| 253 | C2×C71 | #3391 | 1 | 1 | yes | characteristic |
| 254 | C2×C71 | #3414 | 1 | 1 | yes | characteristic |
| 255 | C2×C71 | #3415 | 1 | 1 | yes | characteristic |
| 256 | D71 | — | 16 | 1 | no | — |
| 257 | D71 | — | 16 | 1 | no | — |
| 258 | #3396 | — | 71 | 1 | no | — |
| 259 | #3396 | D71 | 1 | 1 | yes | characteristic, complemented |
| 260 | #2250 | — | 71 | 1 | no | — |
| 261 | #2250 | — | 71 | 1 | no | — |
| 262 | #2249 | — | 71 | 1 | no | — |
| 263 | #2211 | — | 71 | 1 | no | — |
| 264 | #2211 | — | 71 | 1 | no | — |
| 265 | #2210 | — | 71 | 1 | no | — |
| 266 | #2210 | — | 71 | 1 | no | — |
| 267 | #2206 | — | 71 | 1 | no | — |
| 268 | #2206 | — | 71 | 1 | no | — |
| 269 | #2183 | — | 71 | 1 | no | — |
| 270 | #2175 | — | 71 | 1 | no | — |
| 271 | #2175 | — | 71 | 1 | no | — |
| 272 | C4×D16 | — | 71 | 1 | no | — |
| 273 | C71 | #33970 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 274 | #559 | — | 2 | 1 | no | — |
| 275 | #559 | — | 142 | 1 | no | — |
| 276 | C2×Q32 | — | 71 | 1 | no | — |
| 277 | C2×SD32 | — | 71 | 1 | no | — |
| 278 | C2×SD32 | — | 71 | 1 | no | — |
| 279 | C2×SD32 | — | 71 | 1 | no | — |
| 280 | C2×SD32 | — | 71 | 1 | no | — |
| 281 | C2×D16 | — | 71 | 1 | no | — |
| 282 | C2×D16 | — | 71 | 1 | no | — |
| 283 | C2×D16 | — | 71 | 1 | no | — |
| 284 | C2×D16 | — | 71 | 1 | no | — |
| 285 | #495 | — | 71 | 1 | no | — |
| 286 | #495 | — | 71 | 1 | no | — |
| 287 | #495 | C2×D71 | 1 | 1 | yes | characteristic |
| 288 | #495 | C2×D71 | 1 | 1 | yes | characteristic |
| 289 | #493 | — | 71 | 1 | no | — |
| 290 | #493 | C2×D71 | 1 | 1 | yes | characteristic |
| 291 | #463 | — | 2 | 1 | no | — |
| 292 | #463 | — | 2 | 1 | no | — |
| 293 | #463 | — | 142 | 1 | no | — |
| 294 | #463 | — | 142 | 1 | no | — |
| 295 | #460 | — | 2 | 1 | no | — |
| 296 | #460 | — | 142 | 1 | no | — |
| 297 | C8×Q8 | C2×D71 | 1 | 1 | yes | characteristic |
| 298 | C4×Q16 | — | 71 | 1 | no | — |
| 299 | C4×Q16 | C2×D71 | 1 | 1 | yes | characteristic |
| 300 | C4×D8 | — | 71 | 1 | no | — |
| 301 | C4×D8 | — | 71 | 1 | no | — |
| 302 | C4×D8 | C2×D71 | 1 | 1 | yes | characteristic |
| 303 | C4×D8 | C2×D71 | 1 | 1 | yes | characteristic |
| 304 | #366 | — | 71 | 1 | no | — |
| 305 | C4⋊C16 | — | 71 | 1 | no | — |
| 306 | C4⋊C16 | — | 71 | 1 | no | — |
| 307 | C4⋊C16 | — | 71 | 1 | no | — |
| 308 | #358 | — | 71 | 1 | no | — |
| 309 | #358 | — | 71 | 1 | no | — |
| 310 | #357 | — | 71 | 1 | no | — |
| 311 | #357 | — | 71 | 1 | no | — |
| 312 | #357 | — | 71 | 1 | no | — |
| 313 | #357 | — | 71 | 1 | no | — |
| 314 | #346 | — | 71 | 1 | no | — |
| 315 | #346 | — | 71 | 1 | no | — |
| 316 | C4×C16 | — | 71 | 1 | no | — |
| 317 | C2×Q16 | — | 71 | 1 | no | — |
| 318 | C2×Q16 | C22×D71 | 1 | 1 | yes | characteristic |
| 319 | C2×SD16 | — | 2 | 1 | no | — |
| 320 | C2×SD16 | — | 2 | 1 | no | — |
| 321 | C2×SD16 | — | 142 | 1 | no | — |
| 322 | C2×SD16 | — | 142 | 1 | no | — |
| 323 | C2×D8 | — | 2 | 1 | no | — |
| 324 | C2×D8 | — | 71 | 1 | no | — |
| 325 | C2×D8 | — | 71 | 1 | no | — |
| 326 | C2×D8 | — | 142 | 1 | no | — |
| 327 | C2×D8 | C22×D71 | 1 | 1 | yes | characteristic |
| 328 | C2×D8 | C22×D71 | 1 | 1 | yes | characteristic |
| 329 | #127 | — | 2 | 1 | no | — |
| 330 | #127 | — | 142 | 1 | no | — |
| 331 | #124 | — | 2 | 1 | no | — |
| 332 | #124 | — | 2 | 1 | no | — |
| 333 | #124 | — | 4 | 1 | no | — |
| 334 | #124 | — | 284 | 1 | no | — |
| 335 | #124 | — | 142 | 1 | no | — |
| 336 | #124 | — | 142 | 1 | no | — |
| 337 | #123 | — | 4 | 1 | no | — |
| 338 | #123 | — | 4 | 1 | no | — |
| 339 | #123 | — | 284 | 1 | no | — |
| 340 | #123 | — | 284 | 1 | no | — |
| 341 | C4×Q8 | — | 2 | 1 | no | — |
| 342 | C4×Q8 | — | 142 | 1 | no | — |
| 343 | C4×Q8 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 344 | C4×D4 | — | 2 | 1 | no | — |
| 345 | C4×D4 | — | 2 | 1 | no | — |
| 346 | C4×D4 | — | 4 | 1 | no | — |
| 347 | C4×D4 | — | 284 | 1 | no | — |
| 348 | C4×D4 | — | 142 | 1 | no | — |
| 349 | C4×D4 | — | 142 | 1 | no | — |
| 350 | Q32 | — | 284 | 1 | no | — |
| 351 | SD32 | — | 284 | 1 | no | — |
| 352 | SD32 | — | 284 | 1 | no | — |
| 353 | SD32 | — | 142 | 2 | no | — |
| 354 | SD32 | — | 142 | 2 | no | — |
| 355 | D16 | — | 284 | 1 | no | — |
| 356 | D16 | — | 284 | 1 | no | — |
| 357 | D16 | — | 284 | 1 | no | — |
| 358 | D16 | — | 142 | 2 | no | — |
| 359 | C2×C16 | — | 71 | 1 | no | — |
| 360 | C2×C16 | — | 71 | 1 | no | — |
| 361 | C2×C16 | — | 71 | 1 | no | — |
| 362 | C2×C16 | — | 71 | 1 | no | — |
| 363 | #107 | — | 71 | 1 | no | — |
| 364 | #107 | C22×D71 | 1 | 1 | yes | characteristic |
| 365 | C4⋊C8 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 366 | C4⋊C8 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 367 | C4⋊C8 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 368 | #103 | — | 2 | 1 | no | — |
| 369 | #103 | — | 142 | 1 | no | — |
| 370 | #102 | — | 2 | 1 | no | — |
| 371 | #102 | — | 2 | 1 | no | — |
| 372 | #102 | — | 142 | 1 | no | — |
| 373 | #102 | — | 142 | 1 | no | — |
| 374 | C4×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 375 | C4×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 376 | C4×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 377 | C2×Q8 | — | 2 | 1 | no | — |
| 378 | C2×Q8 | — | 142 | 1 | no | — |
| 379 | C2×Q8 | #11765850 | 1 | 1 | yes | characteristic |
| 380 | C2×D4 | — | 2 | 1 | no | — |
| 381 | C2×D4 | — | 2 | 1 | no | — |
| 382 | C2×D4 | — | 4 | 1 | no | — |
| 383 | C2×D4 | — | 4 | 1 | no | — |
| 384 | C2×D4 | — | 284 | 1 | no | — |
| 385 | C2×D4 | — | 284 | 1 | no | — |
| 386 | C2×D4 | — | 142 | 1 | no | — |
| 387 | C2×D4 | — | 142 | 1 | no | — |
| 388 | C22×C4 | — | 4 | 1 | no | — |
| 389 | C22×C4 | — | 4 | 1 | no | — |
| 390 | C22×C4 | — | 284 | 1 | no | — |
| 391 | C22×C4 | — | 284 | 1 | no | — |
| 392 | Q16 | — | 2 | 1 | no | — |
| 393 | Q16 | — | 2 | 1 | no | — |
| 394 | Q16 | — | 142 | 1 | no | — |
| 395 | Q16 | — | 142 | 1 | no | — |
| 396 | SD16 | — | 8 | 1 | no | — |
| 397 | SD16 | — | 8 | 1 | no | — |
| 398 | SD16 | — | 568 | 1 | no | — |
| 399 | SD16 | — | 568 | 1 | no | — |
| 400 | D8 | — | 2 | 1 | no | — |
| 401 | D8 | — | 2 | 1 | no | — |
| 402 | D8 | — | 2 | 1 | no | — |
| 403 | D8 | — | 2 | 1 | no | — |
| 404 | D8 | — | 8 | 1 | no | — |
| 405 | D8 | — | 568 | 1 | no | — |
| 406 | D8 | — | 142 | 1 | no | — |
| 407 | D8 | — | 142 | 1 | no | — |
| 408 | D8 | — | 142 | 1 | no | — |
| 409 | D8 | — | 142 | 1 | no | — |
| 410 | C2×C8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 411 | C2×C8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 412 | C2×C8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 413 | C2×C8 | C23×D71 | 1 | 1 | yes | characteristic |
| 414 | C4⋊C4 | — | 2 | 1 | no | — |
| 415 | C4⋊C4 | — | 4 | 1 | no | — |
| 416 | C4⋊C4 | — | 284 | 1 | no | — |
| 417 | C4⋊C4 | — | 142 | 1 | no | — |
| 418 | C4⋊C4 | #11765850 | 1 | 1 | yes | characteristic |
| 419 | C4⋊C4 | #11765850 | 1 | 1 | yes | characteristic |
| 420 | C4⋊C4 | #11765850 | 1 | 1 | yes | characteristic |
| 421 | C22⋊C4 | — | 4 | 1 | no | — |
| 422 | C22⋊C4 | — | 4 | 1 | no | — |
| 423 | C22⋊C4 | — | 4 | 1 | no | — |
| 424 | C22⋊C4 | — | 4 | 1 | no | — |
| 425 | C22⋊C4 | — | 4 | 1 | no | — |
| 426 | C22⋊C4 | — | 4 | 1 | no | — |
| 427 | C22⋊C4 | — | 284 | 1 | no | — |
| 428 | C22⋊C4 | — | 284 | 1 | no | — |
| 429 | C22⋊C4 | — | 284 | 1 | no | — |
| 430 | C22⋊C4 | — | 284 | 1 | no | — |
| 431 | C22⋊C4 | — | 284 | 1 | no | — |
| 432 | C22⋊C4 | — | 284 | 1 | no | — |
| 433 | C42 | — | 4 | 1 | no | — |
| 434 | C42 | — | 284 | 1 | no | — |
| 435 | C42 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 436 | C42 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 437 | C42 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 438 | C16 | — | 71 | 2 | no | — |
| 439 | C16 | — | 142 | 1 | no | — |
| 440 | C16 | — | 142 | 1 | no | — |
| 441 | C16 | — | 142 | 1 | no | — |
| 442 | C23 | — | 4 | 1 | no | — |
| 443 | C23 | — | 4 | 1 | no | — |
| 444 | C23 | — | 284 | 1 | no | — |
| 445 | C23 | — | 284 | 1 | no | — |
| 446 | Q8 | — | 4 | 1 | no | — |
| 447 | Q8 | — | 4 | 1 | no | — |
| 448 | Q8 | — | 4 | 1 | no | — |
| 449 | Q8 | — | 284 | 1 | no | — |
| 450 | Q8 | — | 284 | 1 | no | — |
| 451 | D4 | — | 4 | 1 | no | — |
| 452 | D4 | — | 4 | 1 | no | — |
| 453 | D4 | — | 4 | 1 | no | — |
| 454 | D4 | — | 4 | 1 | no | — |
| 455 | D4 | — | 8 | 2 | no | — |
| 456 | D4 | — | 16 | 1 | no | — |
| 457 | D4 | — | 284 | 1 | no | — |
| 458 | D4 | — | 284 | 1 | no | — |
| 459 | D4 | — | 284 | 1 | no | — |
| 460 | D4 | — | 284 | 1 | no | — |
| 461 | D4 | — | 568 | 2 | no | — |
| 462 | D4 | — | 1136 | 1 | no | — |
| 463 | C2×C4 | — | 4 | 1 | no | — |
| 464 | C2×C4 | — | 4 | 1 | no | — |
| 465 | C2×C4 | — | 16 | 1 | no | — |
| 466 | C2×C4 | — | 16 | 1 | no | — |
| 467 | C2×C4 | — | 284 | 1 | no | — |
| 468 | C2×C4 | — | 284 | 1 | no | — |
| 469 | C2×C4 | — | 1136 | 1 | no | — |
| 470 | C2×C4 | — | 1136 | 1 | no | — |
| 471 | C2×C4 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 472 | C2×C4 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 473 | C2×C4 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 474 | C2×C4 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 475 | C2×C4 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 476 | C2×C4 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 477 | C2×C4 | C22×C22⋊D71 | 1 | 1 | yes | characteristic |
| 478 | C8 | — | 2 | 1 | no | — |
| 479 | C8 | — | 2 | 1 | no | — |
| 480 | C8 | — | 2 | 1 | no | — |
| 481 | C8 | #41×D71 | 1 | 1 | yes | characteristic |
| 482 | C8 | #14556174 | 1 | 1 | yes | characteristic |
| 483 | C22 | — | 8 | 1 | no | — |
| 484 | C22 | — | 8 | 1 | no | — |
| 485 | C22 | — | 8 | 1 | no | — |
| 486 | C22 | — | 8 | 1 | no | — |
| 487 | C22 | — | 8 | 1 | no | — |
| 488 | C22 | — | 8 | 1 | no | — |
| 489 | C22 | — | 568 | 1 | no | — |
| 490 | C22 | — | 568 | 1 | no | — |
| 491 | C22 | — | 568 | 1 | no | — |
| 492 | C22 | — | 568 | 1 | no | — |
| 493 | C22 | — | 568 | 1 | no | — |
| 494 | C22 | — | 568 | 1 | no | — |
| 495 | C22 | C22×#11765850 | 1 | 1 | yes | characteristic |
| 496 | C4 | — | 2 | 1 | no | — |
| 497 | C4 | — | 2 | 1 | no | — |
| 498 | C4 | — | 2 | 1 | no | — |
| 499 | C4 | — | 2 | 1 | no | — |
| 500 | C4 | — | 2 | 1 | no | — |
| 501 | C4 | — | 2 | 1 | no | — |
| 502 | C4 | — | 8 | 1 | no | — |
| 503 | C4 | — | 8 | 1 | no | — |
| 504 | C4 | — | 568 | 1 | no | — |
| 505 | C4 | — | 568 | 1 | no | — |
| 506 | C4 | #17986668 | 1 | 1 | yes | characteristic |
| 507 | C4 | #17986802 | 1 | 1 | yes | characteristic |
| 508 | C2 | — | 16 | 1 | no | — |
| 509 | C2 | — | 16 | 1 | no | — |
| 510 | C2 | — | 1136 | 1 | no | — |
| 511 | C2 | — | 1136 | 1 | no | — |
| 512 | C2 | #22601312 | 1 | 1 | yes | characteristic |
| 513 | C2 | #22601474 | 1 | 1 | yes | characteristic |
| 514 | C2 | #22601479 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta