| 1 | #22601491 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22601479 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22600127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22590599 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22590463 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22590458 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22590409 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22590406 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22590311 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22590309 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22590304 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22590302 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22590219 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22590177 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#3290 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #17986816 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #17986806 | — | 2 | 1 | no | — |
| 18 | #17986804 | C22 | 1 | 1 | yes | characteristic |
| 19 | #17986440 | — | 2 | 1 | no | — |
| 20 | #17986440 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #17986439 | — | 2 | 1 | no | — |
| 22 | #17986439 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #17986435 | — | 2 | 1 | no | — |
| 24 | #17986435 | C22 | 1 | 1 | yes | characteristic |
| 25 | #17986434 | — | 2 | 1 | no | — |
| 26 | #17986434 | C22 | 1 | 1 | yes | characteristic |
| 27 | #17986429 | — | 2 | 1 | no | — |
| 28 | #17986429 | — | 2 | 1 | no | — |
| 29 | #17986429 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#14556074 | — | 2 | 1 | no | — |
| 31 | C2×#14556074 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×#14556072 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#14556071 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×#14556069 | — | 2 | 1 | no | — |
| 35 | C2×#14556069 | C22 | 1 | 1 | yes | characteristic |
| 36 | #17986416 | C22 | 1 | 1 | yes | characteristic |
| 37 | #17986416 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #17986383 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #17986274 | C22 | 1 | 1 | yes | characteristic |
| 40 | #17986269 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #17986263 | — | 2 | 1 | no | — |
| 42 | #17986178 | — | 2 | 1 | no | — |
| 43 | #17986173 | — | 2 | 1 | no | — |
| 44 | #17986117 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #17985828 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #17985820 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #17985815 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #17985814 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #17985812 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #17985811 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #17985806 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #17985805 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #17985783 | C22 | 1 | 1 | yes | characteristic |
| 54 | #17985783 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C4×C71⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #578×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #577×C71 | — | 2 | 1 | no | — |
| 58 | #576×C71 | C22 | 1 | 1 | yes | characteristic |
| 59 | #495×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #473×C71 | C22 | 1 | 1 | yes | characteristic |
| 61 | #472×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #471×C71 | — | 2 | 1 | no | — |
| 63 | #455×C71 | — | 2 | 1 | no | — |
| 64 | #454×C71 | — | 2 | 1 | no | — |
| 65 | #443×C71 | C22 | 1 | 1 | yes | characteristic |
| 66 | #443×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #14556175 | — | 2 | 1 | no | — |
| 68 | #14556174 | — | 2 | 1 | no | — |
| 69 | #14556161 | — | 2 | 1 | no | — |
| 70 | #14556161 | — | 4 | 1 | no | — |
| 71 | #14556160 | — | 4 | 1 | no | — |
| 72 | #14556158 | — | 2 | 1 | no | — |
| 73 | #14556156 | — | 2 | 1 | no | — |
| 74 | #14556156 | — | 4 | 1 | no | — |
| 75 | #14556153 | — | 2 | 1 | no | — |
| 76 | #14556152 | — | 4 | 1 | no | — |
| 77 | #14556150 | — | 2 | 1 | no | — |
| 78 | #14556150 | — | 2 | 1 | no | — |
| 79 | #14556150 | C23 | 1 | 1 | yes | characteristic |
| 80 | #14556149 | — | 4 | 1 | no | — |
| 81 | C2×Dic284 | — | 2 | 1 | no | — |
| 82 | C2×Dic284 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×#11765854 | — | 2 | 1 | no | — |
| 84 | SD16×D71 | — | 4 | 1 | no | — |
| 85 | C2×D568 | — | 2 | 1 | no | — |
| 86 | C2×D568 | C23 | 1 | 1 | yes | characteristic |
| 87 | #14556134 | — | 2 | 1 | no | — |
| 88 | #14556116 | — | 2 | 1 | no | — |
| 89 | #14556074 | — | 2 | 1 | no | — |
| 90 | #14556074 | — | 2 | 1 | no | — |
| 91 | #14556074 | — | 2 | 1 | no | — |
| 92 | #14556074 | — | 2 | 1 | no | — |
| 93 | #14556074 | D4 | 1 | 1 | yes | characteristic |
| 94 | #14556072 | — | 2 | 1 | no | — |
| 95 | #14556072 | — | 2 | 1 | no | — |
| 96 | #14556072 | — | 4 | 1 | no | — |
| 97 | #14556072 | D4 | 1 | 1 | yes | characteristic |
| 98 | #14556071 | — | 2 | 1 | no | — |
| 99 | #14556071 | — | 2 | 1 | no | — |
| 100 | #14556071 | — | 4 | 1 | no | — |
| 101 | #14556071 | D4 | 1 | 1 | yes | characteristic |
| 102 | #14556069 | — | 2 | 1 | no | — |
| 103 | #14556069 | — | 2 | 1 | no | — |
| 104 | #14556069 | — | 2 | 1 | no | — |
| 105 | #14556069 | — | 2 | 1 | no | — |
| 106 | #14556069 | D4 | 1 | 1 | yes | characteristic |
| 107 | #14556068 | — | 2 | 1 | no | — |
| 108 | #14556068 | — | 2 | 1 | no | — |
| 109 | #14556068 | C23 | 1 | 1 | yes | characteristic |
| 110 | #14556068 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×C71⋊C16 | — | 2 | 1 | no | — |
| 112 | C2×C71⋊C16 | — | 2 | 1 | no | — |
| 113 | C2×C71⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 114 | C2×C71⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 115 | #14556064 | C23 | 1 | 1 | yes | characteristic |
| 116 | #14556056 | — | 2 | 1 | no | — |
| 117 | #14556046 | — | 2 | 1 | no | — |
| 118 | #14556044 | — | 2 | 1 | no | — |
| 119 | 2−1+4×C71 | — | 2 | 1 | no | — |
| 120 | H(5,𝔽2)×C71 | — | 2 | 1 | no | — |
| 121 | #137×C71 | — | 2 | 1 | no | — |
| 122 | #137×C71 | — | 2 | 1 | no | — |
| 123 | #137×C71 | — | 4 | 1 | no | — |
| 124 | #137×C71 | — | 4 | 1 | no | — |
| 125 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 126 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 127 | AGL(1,ℤ/8)×C71 | — | 4 | 1 | no | — |
| 128 | AGL(1,ℤ/8)×C71 | — | 4 | 1 | no | — |
| 129 | #135×C71 | — | 2 | 1 | no | — |
| 130 | #135×C71 | — | 2 | 1 | no | — |
| 131 | #135×C71 | — | 4 | 1 | no | — |
| 132 | #135×C71 | D4 | 1 | 1 | yes | characteristic |
| 133 | #135×C71 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×Q16×C71 | — | 2 | 1 | no | — |
| 135 | C2×Q16×C71 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 137 | C2×SD16×C71 | — | 4 | 1 | no | — |
| 138 | C2×D8×C71 | — | 2 | 1 | no | — |
| 139 | C2×D8×C71 | C23 | 1 | 1 | yes | characteristic |
| 140 | #131×C71 | — | 2 | 1 | no | — |
| 141 | #131×C71 | C23 | 1 | 1 | yes | characteristic |
| 142 | #131×C71 | C23 | 1 | 1 | yes | characteristic |
| 143 | #124×C71 | — | 2 | 1 | no | — |
| 144 | #108×C71 | D4 | 1 | 1 | yes | characteristic |
| 145 | #108×C71 | C23 | 1 | 1 | yes | characteristic |
| 146 | #104×C71 | — | 2 | 1 | no | — |
| 147 | #104×C71 | D4 | 1 | 1 | yes | characteristic |
| 148 | #104×C71 | D4 | 1 | 1 | yes | characteristic |
| 149 | #101×C71 | — | 2 | 1 | no | — |
| 150 | #100×C71 | — | 2 | 1 | no | — |
| 151 | C4×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 152 | #11765866 | — | 4 | 1 | no | — |
| 153 | #11765865 | — | 2 | 1 | no | — |
| 154 | #11765865 | — | 4 | 1 | no | — |
| 155 | #11765865 | — | 4 | 1 | no | — |
| 156 | #11765864 | — | 4 | 1 | no | — |
| 157 | #11765864 | — | 8 | 1 | no | — |
| 158 | C2×Dic142 | — | 2 | 1 | no | — |
| 159 | C2×Dic142 | — | 4 | 1 | no | — |
| 160 | Q8×D71 | — | 4 | 1 | no | — |
| 161 | C2×D284 | — | 2 | 1 | no | — |
| 162 | C2×D284 | — | 4 | 1 | no | — |
| 163 | D4×D71 | — | 4 | 1 | no | — |
| 164 | D4×D71 | — | 8 | 1 | no | — |
| 165 | Dic284 | — | 2 | 1 | no | — |
| 166 | Dic284 | — | 2 | 1 | no | — |
| 167 | Dic284 | — | 4 | 1 | no | — |
| 168 | Dic284 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | #11765855 | — | 4 | 1 | no | — |
| 170 | #11765854 | — | 2 | 1 | no | — |
| 171 | #11765854 | — | 4 | 1 | no | — |
| 172 | #11765854 | — | 4 | 1 | no | — |
| 173 | #11765854 | — | 4 | 1 | no | — |
| 174 | #11765854 | — | 4 | 1 | no | — |
| 175 | #11765853 | — | 4 | 1 | no | — |
| 176 | #11765852 | — | 4 | 1 | no | — |
| 177 | D568 | — | 2 | 1 | no | — |
| 178 | D568 | — | 2 | 1 | no | — |
| 179 | D568 | — | 4 | 1 | no | — |
| 180 | D568 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | #11765850 | — | 4 | 1 | no | — |
| 182 | #11765849 | — | 2 | 1 | no | — |
| 183 | #11765848 | — | 4 | 1 | no | — |
| 184 | C8×D71 | — | 4 | 1 | no | — |
| 185 | (C2×D71)⋊C4 | — | 8 | 1 | no | — |
| 186 | C71⋊C16 | — | 2 | 1 | no | — |
| 187 | C71⋊C16 | — | 2 | 1 | no | — |
| 188 | C71⋊C16 | — | 2 | 1 | no | — |
| 189 | C71⋊C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C71⋊C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | #41×C71 | — | 2 | 1 | no | — |
| 192 | #41×C71 | — | 4 | 1 | no | — |
| 193 | #41×C71 | — | 4 | 1 | no | — |
| 194 | #41×C71 | — | 4 | 1 | no | — |
| 195 | #41×C71 | — | 4 | 1 | no | — |
| 196 | #41×C71 | — | 8 | 1 | no | — |
| 197 | #41×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | #41×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 200 | C2×Q8×C71 | — | 4 | 1 | no | — |
| 201 | C2×Q8×C71 | — | 4 | 1 | no | — |
| 202 | C2×D4×C71 | — | 2 | 1 | no | — |
| 203 | C2×D4×C71 | — | 4 | 1 | no | — |
| 204 | C2×D4×C71 | — | 4 | 1 | no | — |
| 205 | C2×D4×C71 | — | 8 | 1 | no | — |
| 206 | Q16×C71 | — | 2 | 1 | no | — |
| 207 | Q16×C71 | — | 2 | 1 | no | — |
| 208 | Q16×C71 | — | 4 | 1 | no | — |
| 209 | Q16×C71 | — | 4 | 1 | no | — |
| 210 | Q16×C71 | D8 | 1 | 1 | yes | characteristic |
| 211 | Q16×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | SD16×C71 | — | 2 | 1 | no | — |
| 213 | SD16×C71 | — | 4 | 1 | no | — |
| 214 | SD16×C71 | — | 4 | 1 | no | — |
| 215 | SD16×C71 | — | 4 | 1 | no | — |
| 216 | SD16×C71 | — | 4 | 1 | no | — |
| 217 | SD16×C71 | — | 4 | 1 | no | — |
| 218 | SD16×C71 | — | 4 | 1 | no | — |
| 219 | SD16×C71 | D8 | 1 | 1 | yes | characteristic |
| 220 | SD16×C71 | D8 | 1 | 1 | yes | characteristic |
| 221 | D8×C71 | — | 2 | 1 | no | — |
| 222 | D8×C71 | — | 2 | 1 | no | — |
| 223 | D8×C71 | — | 4 | 1 | no | — |
| 224 | D8×C71 | — | 4 | 1 | no | — |
| 225 | D8×C71 | D8 | 1 | 1 | yes | characteristic |
| 226 | D8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | M16×C71 | — | 2 | 1 | no | — |
| 228 | M16×C71 | — | 2 | 1 | no | — |
| 229 | M16×C71 | — | 2 | 1 | no | — |
| 230 | M16×C71 | — | 4 | 1 | no | — |
| 231 | M16×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | M16×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | C2×C8×C71 | — | 2 | 1 | no | — |
| 234 | C2×C8×C71 | — | 2 | 1 | no | — |
| 235 | C2×C8×C71 | — | 4 | 1 | no | — |
| 236 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 237 | C2×C8×C71 | C24 | 1 | 1 | yes | characteristic |
| 238 | C22⋊C4×C71 | — | 8 | 1 | no | — |
| 239 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C23×C71 | — | 4 | 1 | no | — |
| 241 | C23×C71 | — | 8 | 1 | no | — |
| 242 | C22×D71 | — | 4 | 1 | no | — |
| 243 | C22×D71 | — | 8 | 1 | no | — |
| 244 | Q8×C71 | — | 2 | 1 | no | — |
| 245 | Q8×C71 | — | 4 | 1 | no | — |
| 246 | Q8×C71 | — | 4 | 1 | no | — |
| 247 | Q8×C71 | — | 8 | 1 | no | — |
| 248 | Q8×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 249 | Q8×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 250 | D4×C71 | — | 2 | 1 | no | — |
| 251 | D4×C71 | — | 2 | 1 | no | — |
| 252 | D4×C71 | — | 2 | 1 | no | — |
| 253 | D4×C71 | — | 4 | 1 | no | — |
| 254 | D4×C71 | — | 4 | 1 | no | — |
| 255 | D4×C71 | — | 4 | 1 | no | — |
| 256 | D4×C71 | — | 8 | 1 | no | — |
| 257 | D4×C71 | — | 8 | 1 | no | — |
| 258 | D4×C71 | — | 8 | 1 | no | — |
| 259 | D4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 260 | D4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 261 | C2×C4×C71 | — | 2 | 1 | no | — |
| 262 | C2×C4×C71 | — | 2 | 1 | no | — |
| 263 | C2×C4×C71 | — | 2 | 1 | no | — |
| 264 | C2×C4×C71 | — | 4 | 1 | no | — |
| 265 | C2×C4×C71 | — | 4 | 1 | no | — |
| 266 | C2×C4×C71 | — | 8 | 1 | no | — |
| 267 | C2×C4×C71 | — | 8 | 1 | no | — |
| 268 | C2×C4×C71 | — | 8 | 1 | no | — |
| 269 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 270 | C22⋊D71 | — | 4 | 1 | no | — |
| 271 | C22⋊D71 | — | 8 | 1 | no | — |
| 272 | C22⋊D71 | — | 8 | 1 | no | — |
| 273 | C2×Dic71 | — | 4 | 1 | no | — |
| 274 | C2×Dic71 | — | 8 | 1 | no | — |
| 275 | D284 | — | 2 | 1 | no | — |
| 276 | D284 | — | 4 | 1 | no | — |
| 277 | D284 | — | 4 | 1 | no | — |
| 278 | D284 | — | 8 | 1 | no | — |
| 279 | C4×D71 | — | 4 | 1 | no | — |
| 280 | C4×D71 | — | 8 | 1 | no | — |
| 281 | C4×D71 | — | 8 | 1 | no | — |
| 282 | Dic142 | — | 2 | 1 | no | — |
| 283 | Dic142 | — | 4 | 1 | no | — |
| 284 | Dic142 | — | 4 | 1 | no | — |
| 285 | Dic142 | — | 8 | 1 | no | — |
| 286 | C8×C71 | — | 2 | 1 | no | — |
| 287 | C8×C71 | — | 2 | 1 | no | — |
| 288 | C8×C71 | — | 4 | 1 | no | — |
| 289 | C8×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 290 | C8×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 291 | C8×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 292 | C8×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 293 | C71⋊C8 | — | 4 | 1 | no | — |
| 294 | C22×C71 | — | 2 | 1 | no | — |
| 295 | C22×C71 | — | 2 | 1 | no | — |
| 296 | C22×C71 | — | 4 | 1 | no | — |
| 297 | C22×C71 | — | 8 | 1 | no | — |
| 298 | C22×C71 | — | 16 | 1 | no | — |
| 299 | C22×C71 | — | 32 | 1 | no | — |
| 300 | C22×C71 | #576 | 1 | 1 | yes | characteristic |
| 301 | C2×D71 | — | 4 | 1 | no | — |
| 302 | C2×D71 | — | 8 | 1 | no | — |
| 303 | C2×D71 | — | 16 | 1 | no | — |
| 304 | C2×D71 | — | 32 | 1 | no | — |
| 305 | C4×C71 | — | 2 | 1 | no | — |
| 306 | C4×C71 | — | 2 | 1 | no | — |
| 307 | C4×C71 | — | 4 | 1 | no | — |
| 308 | C4×C71 | — | 4 | 1 | no | — |
| 309 | C4×C71 | — | 8 | 1 | no | — |
| 310 | C4×C71 | D42 | 1 | 1 | yes | characteristic |
| 311 | C4×C71 | C22×D8 | 1 | 1 | yes | characteristic |
| 312 | Dic71 | — | 4 | 1 | no | — |
| 313 | Dic71 | — | 8 | 1 | no | — |
| 314 | #33859 | — | 71 | 1 | no | maximal, Sylow |
| 315 | C2×C71 | — | 2 | 1 | no | — |
| 316 | C2×C71 | — | 4 | 1 | no | — |
| 317 | C2×C71 | — | 4 | 1 | no | — |
| 318 | C2×C71 | — | 8 | 1 | no | — |
| 319 | C2×C71 | — | 16 | 1 | no | — |
| 320 | C2×C71 | D4×D8 | 1 | 1 | yes | characteristic |
| 321 | D71 | — | 8 | 1 | no | — |
| 322 | D71 | — | 16 | 1 | no | — |
| 323 | #3417 | — | 71 | 1 | no | — |
| 324 | #3415 | — | 71 | 1 | no | — |
| 325 | #3290 | — | 71 | 1 | no | — |
| 326 | #3290 | D71 | 1 | 1 | yes | characteristic, complemented |
| 327 | #2249 | — | 71 | 1 | no | — |
| 328 | #2222 | — | 71 | 1 | no | — |
| 329 | #2221 | — | 71 | 1 | no | — |
| 330 | #2212 | — | 71 | 1 | no | — |
| 331 | #2212 | — | 71 | 1 | no | — |
| 332 | #2194 | — | 71 | 1 | no | — |
| 333 | #2194 | — | 71 | 1 | no | — |
| 334 | #2193 | — | 71 | 1 | no | — |
| 335 | #2193 | — | 71 | 1 | no | — |
| 336 | #2178 | — | 71 | 1 | no | — |
| 337 | #2170 | — | 71 | 1 | no | — |
| 338 | C71 | #33859 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 339 | #578 | — | 71 | 1 | no | — |
| 340 | #578 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 341 | #577 | — | 2 | 1 | no | — |
| 342 | #577 | — | 142 | 1 | no | — |
| 343 | #576 | — | 71 | 1 | no | — |
| 344 | #576 | C2×D71 | 1 | 1 | yes | characteristic |
| 345 | #510 | — | 71 | 1 | no | — |
| 346 | #510 | — | 71 | 1 | no | — |
| 347 | #510 | — | 142 | 1 | no | — |
| 348 | #510 | — | 142 | 1 | no | — |
| 349 | #509 | — | 71 | 1 | no | — |
| 350 | #509 | — | 71 | 1 | no | — |
| 351 | #509 | — | 142 | 1 | no | — |
| 352 | #509 | — | 142 | 1 | no | — |
| 353 | #508 | — | 71 | 1 | no | — |
| 354 | #508 | — | 142 | 1 | no | — |
| 355 | #508 | — | 142 | 1 | no | — |
| 356 | C2×Q32 | — | 71 | 1 | no | — |
| 357 | C2×Q32 | — | 142 | 1 | no | — |
| 358 | C2×SD32 | — | 71 | 1 | no | — |
| 359 | C2×SD32 | — | 71 | 1 | no | — |
| 360 | C2×D16 | — | 71 | 1 | no | — |
| 361 | C2×D16 | — | 142 | 1 | no | — |
| 362 | #504 | — | 71 | 1 | no | — |
| 363 | #504 | — | 71 | 1 | no | — |
| 364 | #495 | — | 71 | 1 | no | — |
| 365 | #495 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 366 | #473 | — | 71 | 1 | no | — |
| 367 | #473 | C2×D71 | 1 | 1 | yes | characteristic |
| 368 | #472 | — | 71 | 1 | no | — |
| 369 | #472 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 370 | #471 | — | 2 | 1 | no | — |
| 371 | #471 | — | 142 | 1 | no | — |
| 372 | #455 | — | 2 | 1 | no | — |
| 373 | #455 | — | 142 | 1 | no | — |
| 374 | #454 | — | 2 | 1 | no | — |
| 375 | #454 | — | 142 | 1 | no | — |
| 376 | #443 | — | 71 | 1 | no | — |
| 377 | #443 | C2×D71 | 1 | 1 | yes | characteristic |
| 378 | #443 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 379 | #368 | — | 71 | 1 | no | — |
| 380 | #364 | — | 71 | 1 | no | — |
| 381 | #362 | — | 71 | 1 | no | — |
| 382 | #362 | — | 71 | 1 | no | — |
| 383 | #361 | — | 71 | 1 | no | — |
| 384 | #361 | — | 71 | 1 | no | — |
| 385 | #359 | — | 71 | 1 | no | — |
| 386 | #359 | — | 71 | 1 | no | — |
| 387 | #350 | — | 71 | 1 | no | — |
| 388 | #350 | — | 71 | 1 | no | — |
| 389 | C4×C16 | — | 71 | 1 | no | — |
| 390 | 2−1+4 | — | 2 | 1 | no | — |
| 391 | 2−1+4 | — | 142 | 1 | no | — |
| 392 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 393 | H(5,𝔽2) | — | 142 | 1 | no | — |
| 394 | #137 | — | 2 | 1 | no | — |
| 395 | #137 | — | 2 | 1 | no | — |
| 396 | #137 | — | 4 | 1 | no | — |
| 397 | #137 | — | 4 | 1 | no | — |
| 398 | #137 | — | 284 | 1 | no | — |
| 399 | #137 | — | 284 | 1 | no | — |
| 400 | #137 | — | 142 | 1 | no | — |
| 401 | #137 | — | 142 | 1 | no | — |
| 402 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 403 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 404 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 405 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 406 | AGL(1,ℤ/8) | — | 284 | 1 | no | — |
| 407 | AGL(1,ℤ/8) | — | 284 | 1 | no | — |
| 408 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 409 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 410 | #135 | — | 2 | 1 | no | — |
| 411 | #135 | — | 2 | 1 | no | — |
| 412 | #135 | — | 4 | 1 | no | — |
| 413 | #135 | — | 284 | 1 | no | — |
| 414 | #135 | — | 71 | 1 | no | — |
| 415 | #135 | — | 142 | 1 | no | — |
| 416 | #135 | — | 142 | 1 | no | — |
| 417 | #135 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 418 | #135 | C22×D71 | 1 | 1 | yes | characteristic |
| 419 | C2×Q16 | — | 2 | 1 | no | — |
| 420 | C2×Q16 | — | 71 | 1 | no | — |
| 421 | C2×Q16 | — | 142 | 1 | no | — |
| 422 | C2×Q16 | C22×D71 | 1 | 1 | yes | characteristic |
| 423 | C2×SD16 | — | 2 | 1 | no | — |
| 424 | C2×SD16 | — | 4 | 1 | no | — |
| 425 | C2×SD16 | — | 284 | 1 | no | — |
| 426 | C2×SD16 | — | 142 | 1 | no | — |
| 427 | C2×D8 | — | 2 | 1 | no | — |
| 428 | C2×D8 | — | 71 | 1 | no | — |
| 429 | C2×D8 | — | 142 | 1 | no | — |
| 430 | C2×D8 | C22×D71 | 1 | 1 | yes | characteristic |
| 431 | #131 | — | 2 | 1 | no | — |
| 432 | #131 | — | 142 | 1 | no | — |
| 433 | #131 | C22×D71 | 1 | 1 | yes | characteristic |
| 434 | #131 | C22×D71 | 1 | 1 | yes | characteristic |
| 435 | #124 | — | 2 | 1 | no | — |
| 436 | #124 | — | 142 | 1 | no | — |
| 437 | Q32 | — | 71 | 1 | no | — |
| 438 | Q32 | — | 142 | 1 | no | — |
| 439 | Q32 | — | 142 | 1 | no | — |
| 440 | Q32 | — | 142 | 1 | no | — |
| 441 | Q32 | — | 142 | 1 | no | — |
| 442 | SD32 | — | 284 | 1 | no | — |
| 443 | SD32 | — | 284 | 1 | no | — |
| 444 | SD32 | — | 71 | 1 | no | — |
| 445 | SD32 | — | 71 | 1 | no | — |
| 446 | SD32 | — | 142 | 1 | no | — |
| 447 | SD32 | — | 142 | 1 | no | — |
| 448 | SD32 | — | 142 | 1 | no | — |
| 449 | SD32 | — | 142 | 1 | no | — |
| 450 | D16 | — | 71 | 1 | no | — |
| 451 | D16 | — | 142 | 1 | no | — |
| 452 | D16 | — | 142 | 1 | no | — |
| 453 | D16 | — | 142 | 1 | no | — |
| 454 | D16 | — | 142 | 1 | no | — |
| 455 | M32 | — | 71 | 1 | no | — |
| 456 | M32 | — | 71 | 1 | no | — |
| 457 | M32 | — | 142 | 1 | no | — |
| 458 | M32 | — | 142 | 1 | no | — |
| 459 | C2×C16 | — | 71 | 1 | no | — |
| 460 | C2×C16 | — | 71 | 1 | no | — |
| 461 | C2×C16 | — | 142 | 1 | no | — |
| 462 | C2×C16 | — | 142 | 1 | no | — |
| 463 | #108 | — | 71 | 1 | no | — |
| 464 | #108 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 465 | #108 | C22×D71 | 1 | 1 | yes | characteristic |
| 466 | #104 | — | 2 | 1 | no | — |
| 467 | #104 | — | 142 | 1 | no | — |
| 468 | #104 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 469 | #104 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 470 | #101 | — | 2 | 1 | no | — |
| 471 | #101 | — | 142 | 1 | no | — |
| 472 | #100 | — | 2 | 1 | no | — |
| 473 | #100 | — | 142 | 1 | no | — |
| 474 | C4×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 475 | #41 | — | 2 | 1 | no | — |
| 476 | #41 | — | 4 | 1 | no | — |
| 477 | #41 | — | 4 | 1 | no | — |
| 478 | #41 | — | 4 | 1 | no | — |
| 479 | #41 | — | 4 | 1 | no | — |
| 480 | #41 | — | 8 | 1 | no | — |
| 481 | #41 | — | 284 | 1 | no | — |
| 482 | #41 | — | 284 | 1 | no | — |
| 483 | #41 | — | 284 | 1 | no | — |
| 484 | #41 | — | 284 | 1 | no | — |
| 485 | #41 | — | 568 | 1 | no | — |
| 486 | #41 | — | 142 | 1 | no | — |
| 487 | #41 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 488 | #41 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 489 | C2×Q8 | — | 2 | 1 | no | — |
| 490 | C2×Q8 | — | 4 | 1 | no | — |
| 491 | C2×Q8 | — | 4 | 1 | no | — |
| 492 | C2×Q8 | — | 284 | 1 | no | — |
| 493 | C2×Q8 | — | 284 | 1 | no | — |
| 494 | C2×Q8 | — | 142 | 1 | no | — |
| 495 | C2×D4 | — | 2 | 1 | no | — |
| 496 | C2×D4 | — | 4 | 1 | no | — |
| 497 | C2×D4 | — | 4 | 1 | no | — |
| 498 | C2×D4 | — | 8 | 1 | no | — |
| 499 | C2×D4 | — | 284 | 1 | no | — |
| 500 | C2×D4 | — | 284 | 1 | no | — |
| 501 | C2×D4 | — | 568 | 1 | no | — |
| 502 | C2×D4 | — | 142 | 1 | no | — |
| 503 | Q16 | — | 2 | 1 | no | — |
| 504 | Q16 | — | 2 | 1 | no | — |
| 505 | Q16 | — | 4 | 1 | no | — |
| 506 | Q16 | — | 4 | 1 | no | — |
| 507 | Q16 | — | 284 | 1 | no | — |
| 508 | Q16 | — | 284 | 1 | no | — |
| 509 | Q16 | — | 71 | 1 | no | — |
| 510 | Q16 | — | 142 | 1 | no | — |
| 511 | Q16 | — | 142 | 1 | no | — |
| 512 | Q16 | #11765850 | 1 | 1 | yes | characteristic |
| 513 | Q16 | D4×D71 | 1 | 1 | yes | characteristic |
| 514 | SD16 | — | 2 | 1 | no | — |
| 515 | SD16 | — | 4 | 1 | no | — |
| 516 | SD16 | — | 4 | 1 | no | — |
| 517 | SD16 | — | 4 | 1 | no | — |
| 518 | SD16 | — | 4 | 1 | no | — |
| 519 | SD16 | — | 4 | 1 | no | — |
| 520 | SD16 | — | 4 | 1 | no | — |
| 521 | SD16 | — | 284 | 1 | no | — |
| 522 | SD16 | — | 284 | 1 | no | — |
| 523 | SD16 | — | 284 | 1 | no | — |
| 524 | SD16 | — | 284 | 1 | no | — |
| 525 | SD16 | — | 284 | 1 | no | — |
| 526 | SD16 | — | 284 | 1 | no | — |
| 527 | SD16 | — | 142 | 1 | no | — |
| 528 | SD16 | #11765850 | 1 | 1 | yes | characteristic |
| 529 | SD16 | #11765850 | 1 | 1 | yes | characteristic |
| 530 | D8 | — | 2 | 1 | no | — |
| 531 | D8 | — | 2 | 1 | no | — |
| 532 | D8 | — | 4 | 1 | no | — |
| 533 | D8 | — | 4 | 1 | no | — |
| 534 | D8 | — | 284 | 1 | no | — |
| 535 | D8 | — | 284 | 1 | no | — |
| 536 | D8 | — | 71 | 1 | no | — |
| 537 | D8 | — | 142 | 1 | no | — |
| 538 | D8 | — | 142 | 1 | no | — |
| 539 | D8 | #11765850 | 1 | 1 | yes | characteristic |
| 540 | D8 | D4×D71 | 1 | 1 | yes | characteristic |
| 541 | M16 | — | 2 | 1 | no | — |
| 542 | M16 | — | 2 | 1 | no | — |
| 543 | M16 | — | 2 | 1 | no | — |
| 544 | M16 | — | 4 | 1 | no | — |
| 545 | M16 | — | 284 | 1 | no | — |
| 546 | M16 | — | 142 | 1 | no | — |
| 547 | M16 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 548 | M16 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 549 | C2×C8 | — | 2 | 1 | no | — |
| 550 | C2×C8 | — | 2 | 1 | no | — |
| 551 | C2×C8 | — | 4 | 1 | no | — |
| 552 | C2×C8 | — | 284 | 1 | no | — |
| 553 | C2×C8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 554 | C2×C8 | C23×D71 | 1 | 1 | yes | characteristic |
| 555 | C22⋊C4 | — | 8 | 1 | no | — |
| 556 | C22⋊C4 | — | 568 | 1 | no | — |
| 557 | C42 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 558 | C16 | — | 71 | 1 | no | — |
| 559 | C16 | — | 71 | 1 | no | — |
| 560 | C16 | — | 142 | 1 | no | — |
| 561 | C16 | — | 142 | 1 | no | — |
| 562 | C16 | — | 142 | 1 | no | — |
| 563 | C23 | — | 4 | 1 | no | — |
| 564 | C23 | — | 8 | 1 | no | — |
| 565 | C23 | — | 284 | 1 | no | — |
| 566 | C23 | — | 568 | 1 | no | — |
| 567 | Q8 | — | 2 | 1 | no | — |
| 568 | Q8 | — | 4 | 1 | no | — |
| 569 | Q8 | — | 4 | 1 | no | — |
| 570 | Q8 | — | 8 | 1 | no | — |
| 571 | Q8 | — | 284 | 1 | no | — |
| 572 | Q8 | — | 284 | 1 | no | — |
| 573 | Q8 | — | 568 | 1 | no | — |
| 574 | Q8 | — | 142 | 1 | no | — |
| 575 | Q8 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 576 | Q8 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 577 | D4 | — | 2 | 1 | no | — |
| 578 | D4 | — | 2 | 1 | no | — |
| 579 | D4 | — | 2 | 1 | no | — |
| 580 | D4 | — | 4 | 1 | no | — |
| 581 | D4 | — | 4 | 1 | no | — |
| 582 | D4 | — | 4 | 1 | no | — |
| 583 | D4 | — | 8 | 1 | no | — |
| 584 | D4 | — | 8 | 1 | no | — |
| 585 | D4 | — | 8 | 1 | no | — |
| 586 | D4 | — | 284 | 1 | no | — |
| 587 | D4 | — | 284 | 1 | no | — |
| 588 | D4 | — | 284 | 1 | no | — |
| 589 | D4 | — | 568 | 1 | no | — |
| 590 | D4 | — | 568 | 1 | no | — |
| 591 | D4 | — | 568 | 1 | no | — |
| 592 | D4 | — | 142 | 1 | no | — |
| 593 | D4 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 594 | D4 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 595 | C2×C4 | — | 2 | 1 | no | — |
| 596 | C2×C4 | — | 2 | 1 | no | — |
| 597 | C2×C4 | — | 2 | 1 | no | — |
| 598 | C2×C4 | — | 4 | 1 | no | — |
| 599 | C2×C4 | — | 4 | 1 | no | — |
| 600 | C2×C4 | — | 8 | 1 | no | — |
| 601 | C2×C4 | — | 8 | 1 | no | — |
| 602 | C2×C4 | — | 8 | 1 | no | — |
| 603 | C2×C4 | — | 284 | 1 | no | — |
| 604 | C2×C4 | — | 284 | 1 | no | — |
| 605 | C2×C4 | — | 568 | 1 | no | — |
| 606 | C2×C4 | — | 568 | 1 | no | — |
| 607 | C2×C4 | — | 568 | 1 | no | — |
| 608 | C2×C4 | C22×C22⋊D71 | 1 | 1 | yes | characteristic |
| 609 | C8 | — | 2 | 1 | no | — |
| 610 | C8 | — | 2 | 1 | no | — |
| 611 | C8 | — | 4 | 1 | no | — |
| 612 | C8 | — | 284 | 1 | no | — |
| 613 | C8 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 614 | C8 | C2×#11765850 | 1 | 1 | yes | characteristic |
| 615 | C8 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 616 | C8 | #14556173 | 1 | 1 | yes | characteristic |
| 617 | C22 | — | 2 | 1 | no | — |
| 618 | C22 | — | 2 | 1 | no | — |
| 619 | C22 | — | 4 | 1 | no | — |
| 620 | C22 | — | 8 | 1 | no | — |
| 621 | C22 | — | 16 | 1 | no | — |
| 622 | C22 | — | 284 | 1 | no | — |
| 623 | C22 | — | 32 | 1 | no | — |
| 624 | C22 | — | 568 | 1 | no | — |
| 625 | C22 | — | 1136 | 1 | no | — |
| 626 | C22 | — | 2272 | 1 | no | — |
| 627 | C22 | #17986802 | 1 | 1 | yes | characteristic |
| 628 | C4 | — | 2 | 1 | no | — |
| 629 | C4 | — | 2 | 1 | no | — |
| 630 | C4 | — | 4 | 1 | no | — |
| 631 | C4 | — | 4 | 1 | no | — |
| 632 | C4 | — | 8 | 1 | no | — |
| 633 | C4 | — | 284 | 1 | no | — |
| 634 | C4 | — | 568 | 1 | no | — |
| 635 | C4 | D4×C22⋊D71 | 1 | 1 | yes | characteristic |
| 636 | C4 | C22×#11765850 | 1 | 1 | yes | characteristic |
| 637 | C2 | — | 2 | 1 | no | — |
| 638 | C2 | — | 4 | 1 | no | — |
| 639 | C2 | — | 4 | 1 | no | — |
| 640 | C2 | — | 8 | 1 | no | — |
| 641 | C2 | — | 16 | 1 | no | — |
| 642 | C2 | — | 568 | 1 | no | — |
| 643 | C2 | — | 1136 | 1 | no | — |
| 644 | C2 | D4×#11765850 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta