| 1 | C71×#3556 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C71×#3509 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C71×#3398 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | C71×#3395 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | C71×#3374 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | C71×#3364 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | C71×#3223 | C2 | 1 | 4 | yes | maximal |
| 8 | C71×#3209 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C71×#3127 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | C71×#3107 | C2 | 1 | 2 | yes | maximal |
| 11 | C71×#2986 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #564×C71 | — | 2 | 2 | no | — |
| 13 | #557×C71 | — | 2 | 2 | no | — |
| 14 | #557×C71 | C22 | 1 | 4 | yes | — |
| 15 | #557×C71 | C22 | 1 | 4 | yes | — |
| 16 | #557×C71 | C22 | 1 | 4 | yes | — |
| 17 | #556×C71 | C22 | 1 | 4 | yes | — |
| 18 | #552×C71 | — | 2 | 4 | no | — |
| 19 | #541×C71 | — | 2 | 2 | no | — |
| 20 | #541×C71 | — | 2 | 4 | no | — |
| 21 | #541×C71 | C22 | 1 | 4 | yes | — |
| 22 | #536×C71 | C22 | 1 | 2 | yes | — |
| 23 | #533×C71 | — | 2 | 2 | no | — |
| 24 | #533×C71 | C22 | 1 | 2 | yes | — |
| 25 | #533×C71 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×C4⋊Q8×C71 | C22 | 1 | 1 | yes | characteristic |
| 27 | #519×C71 | C22 | 1 | 2 | yes | — |
| 28 | C4×#41×C71 | C22 | 1 | 1 | yes | characteristic |
| 29 | #497×C71 | C22 | 1 | 4 | yes | — |
| 30 | #494×C71 | C22 | 1 | 4 | yes | — |
| 31 | #494×C71 | C22 | 1 | 4 | yes | — |
| 32 | #491×C71 | C22 | 1 | 4 | yes | — |
| 33 | #488×C71 | C22 | 1 | 4 | yes | — |
| 34 | #487×C71 | C22 | 1 | 4 | yes | — |
| 35 | #485×C71 | C22 | 1 | 4 | yes | — |
| 36 | #479×C71 | C22 | 1 | 8 | yes | — |
| 37 | #475×C71 | C22 | 1 | 2 | yes | — |
| 38 | #474×C71 | C22 | 1 | 2 | yes | — |
| 39 | #464×C71 | C22 | 1 | 8 | yes | — |
| 40 | #462×C71 | C22 | 1 | 2 | yes | — |
| 41 | #462×C71 | C22 | 1 | 4 | yes | — |
| 42 | #462×C71 | C22 | 1 | 8 | yes | — |
| 43 | #462×C71 | C22 | 1 | 4 | yes | — |
| 44 | #462×C71 | C22 | 1 | 8 | yes | — |
| 45 | #461×C71 | C22 | 1 | 2 | yes | — |
| 46 | #452×C71 | C22 | 1 | 4 | yes | — |
| 47 | #451×C71 | C22 | 1 | 8 | yes | — |
| 48 | #446×C71 | C22 | 1 | 4 | yes | — |
| 49 | C8×Q8×C71 | C22 | 1 | 4 | yes | — |
| 50 | #441×C71 | C22 | 1 | 8 | yes | — |
| 51 | C4×Q16×C71 | C22 | 1 | 4 | yes | — |
| 52 | C4×Q16×C71 | C22 | 1 | 8 | yes | — |
| 53 | C4×SD16×C71 | C22 | 1 | 4 | yes | — |
| 54 | #433×C71 | C22 | 1 | 4 | yes | — |
| 55 | #431×C71 | C22 | 1 | 2 | yes | — |
| 56 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 57 | C22×Q8×C71 | C23 | 1 | 2 | yes | — |
| 58 | C2×Q16×C71 | C23 | 1 | 8 | yes | — |
| 59 | C2×Q16×C71 | C23 | 1 | 4 | yes | — |
| 60 | C2×Q16×C71 | C23 | 1 | 8 | yes | — |
| 61 | C2×SD16×C71 | C23 | 1 | 4 | yes | — |
| 62 | C4⋊Q8×C71 | — | 2 | 4 | no | — |
| 63 | C4⋊Q8×C71 | — | 2 | 1 | no | — |
| 64 | C4⋊Q8×C71 | — | 2 | 1 | no | — |
| 65 | C4⋊Q8×C71 | D4 | 1 | 2 | yes | — |
| 66 | C4⋊Q8×C71 | C23 | 1 | 2 | yes | — |
| 67 | C4⋊Q8×C71 | C23 | 1 | 4 | yes | — |
| 68 | C4⋊Q8×C71 | C23 | 1 | 4 | yes | — |
| 69 | C4⋊Q8×C71 | C23 | 1 | 4 | yes | — |
| 70 | C4⋊Q8×C71 | C23 | 1 | 2 | yes | — |
| 71 | #126×C71 | — | 2 | 8 | no | — |
| 72 | #126×C71 | — | 2 | 8 | no | — |
| 73 | #125×C71 | — | 2 | 4 | no | — |
| 74 | #125×C71 | — | 2 | 8 | no | — |
| 75 | #125×C71 | — | 2 | 4 | no | — |
| 76 | #125×C71 | — | 2 | 8 | no | — |
| 77 | #125×C71 | — | 2 | 8 | no | — |
| 78 | #125×C71 | — | 2 | 8 | no | — |
| 79 | #125×C71 | — | 2 | 2 | no | — |
| 80 | #125×C71 | D4 | 1 | 2 | yes | — |
| 81 | #125×C71 | C23 | 1 | 4 | yes | — |
| 82 | #124×C71 | C23 | 1 | 4 | yes | — |
| 83 | #123×C71 | — | 2 | 4 | no | — |
| 84 | C22⋊Q8×C71 | — | 2 | 4 | no | — |
| 85 | C22⋊Q8×C71 | — | 2 | 2 | no | — |
| 86 | C22⋊Q8×C71 | — | 2 | 4 | no | — |
| 87 | C22⋊Q8×C71 | D4 | 1 | 4 | yes | — |
| 88 | C22⋊Q8×C71 | C23 | 1 | 4 | yes | — |
| 89 | C4×Q8×C71 | — | 2 | 4 | no | — |
| 90 | C4×Q8×C71 | — | 2 | 4 | no | — |
| 91 | C4×Q8×C71 | — | 2 | 4 | no | — |
| 92 | C4×Q8×C71 | — | 2 | 4 | no | — |
| 93 | C4×Q8×C71 | — | 2 | 2 | no | — |
| 94 | C4×Q8×C71 | C23 | 1 | 4 | yes | — |
| 95 | C4×Q8×C71 | C23 | 1 | 2 | yes | — |
| 96 | C4×Q8×C71 | C23 | 1 | 8 | yes | — |
| 97 | C4×Q8×C71 | C23 | 1 | 8 | yes | — |
| 98 | C4×Q8×C71 | C23 | 1 | 4 | yes | — |
| 99 | C4×D4×C71 | — | 2 | 2 | no | — |
| 100 | C4×D4×C71 | C23 | 1 | 2 | yes | — |
| 101 | #117×C71 | — | 2 | 2 | no | — |
| 102 | #117×C71 | — | 2 | 4 | no | — |
| 103 | #117×C71 | — | 2 | 4 | no | — |
| 104 | #117×C71 | — | 2 | 1 | no | — |
| 105 | #117×C71 | C23 | 1 | 1 | yes | characteristic |
| 106 | #117×C71 | C23 | 1 | 2 | yes | — |
| 107 | C2×C4⋊C4×C71 | — | 2 | 2 | no | — |
| 108 | C2×C42×C71 | — | 2 | 1 | no | — |
| 109 | C2×C42×C71 | C23 | 1 | 1 | yes | characteristic |
| 110 | #107×C71 | C23 | 1 | 4 | yes | — |
| 111 | #106×C71 | C23 | 1 | 4 | yes | — |
| 112 | C4⋊C8×C71 | C23 | 1 | 2 | yes | — |
| 113 | C4⋊C8×C71 | C23 | 1 | 2 | yes | — |
| 114 | C4⋊C8×C71 | C23 | 1 | 8 | yes | — |
| 115 | #103×C71 | C23 | 1 | 4 | yes | — |
| 116 | #103×C71 | C23 | 1 | 4 | yes | — |
| 117 | #103×C71 | C23 | 1 | 8 | yes | — |
| 118 | #103×C71 | C23 | 1 | 4 | yes | — |
| 119 | #103×C71 | C23 | 1 | 8 | yes | — |
| 120 | #102×C71 | C23 | 1 | 4 | yes | — |
| 121 | C22⋊C8×C71 | C23 | 1 | 4 | yes | — |
| 122 | #97×C71 | C23 | 1 | 4 | yes | — |
| 123 | C4×C8×C71 | C23 | 1 | 4 | yes | — |
| 124 | C4×C8×C71 | C23 | 1 | 4 | yes | — |
| 125 | #41×C71 | — | 4 | 2 | no | — |
| 126 | C2×Q8×C71 | — | 2 | 2 | no | — |
| 127 | C2×Q8×C71 | — | 2 | 2 | no | — |
| 128 | C2×Q8×C71 | — | 4 | 4 | no | — |
| 129 | C2×Q8×C71 | C2×D4 | 1 | 4 | yes | — |
| 130 | C2×Q8×C71 | C24 | 1 | 4 | yes | — |
| 131 | C2×Q8×C71 | C24 | 1 | 1 | yes | characteristic |
| 132 | C2×Q8×C71 | C24 | 1 | 4 | yes | — |
| 133 | C2×D4×C71 | — | 2 | 1 | no | — |
| 134 | C2×D4×C71 | C24 | 1 | 1 | yes | characteristic |
| 135 | C22×C4×C71 | — | 2 | 2 | no | — |
| 136 | C22×C4×C71 | — | 2 | 2 | no | — |
| 137 | C22×C4×C71 | — | 2 | 1 | no | — |
| 138 | C22×C4×C71 | C2×D4 | 1 | 2 | yes | — |
| 139 | C22×C4×C71 | C24 | 1 | 1 | yes | characteristic |
| 140 | Q16×C71 | — | 4 | 8 | no | — |
| 141 | Q16×C71 | — | 4 | 8 | no | — |
| 142 | Q16×C71 | — | 4 | 4 | no | — |
| 143 | SD16×C71 | — | 4 | 4 | no | — |
| 144 | C2×C8×C71 | C24 | 1 | 4 | yes | — |
| 145 | C2×C8×C71 | C24 | 1 | 4 | yes | — |
| 146 | C4⋊C4×C71 | — | 2 | 4 | no | — |
| 147 | C4⋊C4×C71 | — | 2 | 4 | no | — |
| 148 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 149 | C4⋊C4×C71 | — | 2 | 8 | no | — |
| 150 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 151 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 152 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 153 | C4⋊C4×C71 | — | 2 | 8 | no | — |
| 154 | C4⋊C4×C71 | — | 2 | 4 | no | — |
| 155 | C4⋊C4×C71 | — | 2 | 8 | no | — |
| 156 | C4⋊C4×C71 | — | 2 | 8 | no | — |
| 157 | C4⋊C4×C71 | — | 2 | 4 | no | — |
| 158 | C4⋊C4×C71 | — | 2 | 8 | no | — |
| 159 | C4⋊C4×C71 | C2×D4 | 1 | 4 | yes | — |
| 160 | C4⋊C4×C71 | C2×D4 | 1 | 4 | yes | — |
| 161 | C4⋊C4×C71 | C2×D4 | 1 | 8 | yes | — |
| 162 | C4⋊C4×C71 | C24 | 1 | 4 | yes | — |
| 163 | C4⋊C4×C71 | C24 | 1 | 2 | yes | — |
| 164 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 165 | C22⋊C4×C71 | — | 2 | 4 | no | — |
| 166 | C22⋊C4×C71 | — | 2 | 2 | no | — |
| 167 | C22⋊C4×C71 | — | 2 | 8 | no | — |
| 168 | C22⋊C4×C71 | C2×D4 | 1 | 4 | yes | — |
| 169 | C42×C71 | — | 2 | 1 | no | — |
| 170 | C42×C71 | — | 2 | 2 | no | — |
| 171 | C42×C71 | — | 2 | 8 | no | — |
| 172 | C42×C71 | — | 2 | 4 | no | — |
| 173 | C42×C71 | — | 2 | 8 | no | — |
| 174 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C42×C71 | C24 | 1 | 2 | yes | — |
| 177 | C42×C71 | C24 | 1 | 4 | yes | — |
| 178 | C23×C71 | — | 2 | 1 | no | — |
| 179 | C23×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 180 | Q8×C71 | — | 2 | 8 | no | — |
| 181 | Q8×C71 | — | 2 | 4 | no | — |
| 182 | Q8×C71 | — | 2 | 4 | no | — |
| 183 | Q8×C71 | — | 2 | 8 | no | — |
| 184 | Q8×C71 | — | 2 | 2 | no | — |
| 185 | Q8×C71 | — | 4 | 4 | no | — |
| 186 | Q8×C71 | — | 4 | 4 | no | — |
| 187 | D4×C71 | — | 2 | 2 | no | — |
| 188 | D4×C71 | — | 4 | 2 | no | — |
| 189 | C2×C4×C71 | — | 2 | 4 | no | — |
| 190 | C2×C4×C71 | — | 2 | 2 | no | — |
| 191 | C2×C4×C71 | — | 2 | 2 | no | — |
| 192 | C2×C4×C71 | — | 2 | 4 | no | — |
| 193 | C2×C4×C71 | — | 2 | 4 | no | — |
| 194 | C2×C4×C71 | — | 2 | 4 | no | — |
| 195 | C2×C4×C71 | — | 2 | 1 | no | — |
| 196 | C2×C4×C71 | — | 4 | 2 | no | — |
| 197 | C2×C4×C71 | — | 4 | 4 | no | — |
| 198 | C2×C4×C71 | — | 4 | 4 | no | — |
| 199 | C2×C4×C71 | C22×D4 | 1 | 8 | yes | — |
| 200 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 201 | C2×C4×C71 | C22×D4 | 1 | 2 | yes | — |
| 202 | C2×C4×C71 | C22×D4 | 1 | 2 | yes | — |
| 203 | C2×C4×C71 | C25 | 1 | 1 | yes | characteristic |
| 204 | C8×C71 | — | 2 | 4 | no | — |
| 205 | C8×C71 | — | 2 | 4 | no | — |
| 206 | C22×C71 | — | 2 | 1 | no | — |
| 207 | C22×C71 | — | 2 | 2 | no | — |
| 208 | C22×C71 | — | 4 | 1 | no | — |
| 209 | C22×C71 | — | 4 | 2 | no | — |
| 210 | C22×C71 | C23×D4 | 1 | 1 | yes | characteristic |
| 211 | C4×C71 | — | 2 | 1 | no | — |
| 212 | C4×C71 | — | 2 | 2 | no | — |
| 213 | C4×C71 | — | 2 | 8 | no | — |
| 214 | C4×C71 | — | 4 | 1 | no | — |
| 215 | C4×C71 | — | 4 | 4 | no | — |
| 216 | C4×C71 | — | 4 | 4 | no | — |
| 217 | C4×C71 | — | 4 | 2 | no | — |
| 218 | C4×C71 | — | 4 | 4 | no | — |
| 219 | C4×C71 | #578 | 1 | 4 | yes | — |
| 220 | C4×C71 | #585 | 1 | 2 | yes | — |
| 221 | #61936 | C71 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 222 | C2×C71 | — | 4 | 1 | no | — |
| 223 | C2×C71 | — | 8 | 1 | no | — |
| 224 | C2×C71 | #3487 | 1 | 1 | yes | characteristic |
| 225 | C2×C71 | C2×#578 | 1 | 2 | yes | — |
| 226 | #3556 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 227 | #3509 | C2×C71 | 1 | 1 | yes | characteristic |
| 228 | #3398 | C2×C71 | 1 | 4 | yes | complemented |
| 229 | #3395 | C2×C71 | 1 | 4 | yes | complemented |
| 230 | #3374 | C2×C71 | 1 | 4 | yes | complemented |
| 231 | #3364 | C2×C71 | 1 | 4 | yes | complemented |
| 232 | #3223 | C2×C71 | 1 | 4 | yes | — |
| 233 | #3209 | C2×C71 | 1 | 2 | yes | complemented |
| 234 | #3127 | C2×C71 | 1 | 4 | yes | complemented |
| 235 | #3107 | C2×C71 | 1 | 2 | yes | — |
| 236 | #2986 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 237 | C71 | #61936 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 238 | #564 | — | 2 | 2 | no | — |
| 239 | #557 | — | 2 | 2 | no | — |
| 240 | #557 | C22×C71 | 1 | 4 | yes | — |
| 241 | #557 | C22×C71 | 1 | 4 | yes | — |
| 242 | #557 | C22×C71 | 1 | 4 | yes | — |
| 243 | #556 | C22×C71 | 1 | 4 | yes | — |
| 244 | #552 | — | 2 | 4 | no | — |
| 245 | #541 | — | 2 | 2 | no | — |
| 246 | #541 | — | 2 | 4 | no | — |
| 247 | #541 | C22×C71 | 1 | 4 | yes | — |
| 248 | #536 | C22×C71 | 1 | 2 | yes | — |
| 249 | #533 | — | 2 | 2 | no | — |
| 250 | #533 | C22×C71 | 1 | 2 | yes | — |
| 251 | #533 | C22×C71 | 1 | 1 | yes | characteristic |
| 252 | C2×C4⋊Q8 | C22×C71 | 1 | 1 | yes | characteristic |
| 253 | #519 | C22×C71 | 1 | 2 | yes | — |
| 254 | C4×#41 | C22×C71 | 1 | 1 | yes | characteristic |
| 255 | #497 | C22×C71 | 1 | 4 | yes | — |
| 256 | #494 | C22×C71 | 1 | 4 | yes | — |
| 257 | #494 | C22×C71 | 1 | 4 | yes | — |
| 258 | #491 | C22×C71 | 1 | 4 | yes | — |
| 259 | #488 | C22×C71 | 1 | 4 | yes | — |
| 260 | #487 | C22×C71 | 1 | 4 | yes | — |
| 261 | #485 | C22×C71 | 1 | 4 | yes | — |
| 262 | #479 | C22×C71 | 1 | 8 | yes | — |
| 263 | #475 | C22×C71 | 1 | 2 | yes | — |
| 264 | #474 | C22×C71 | 1 | 2 | yes | — |
| 265 | #464 | C22×C71 | 1 | 8 | yes | — |
| 266 | #462 | C22×C71 | 1 | 2 | yes | — |
| 267 | #462 | C22×C71 | 1 | 4 | yes | — |
| 268 | #462 | C22×C71 | 1 | 8 | yes | — |
| 269 | #462 | C22×C71 | 1 | 4 | yes | — |
| 270 | #462 | C22×C71 | 1 | 8 | yes | — |
| 271 | #461 | C22×C71 | 1 | 2 | yes | — |
| 272 | #452 | C22×C71 | 1 | 4 | yes | — |
| 273 | #451 | C22×C71 | 1 | 8 | yes | — |
| 274 | #446 | C22×C71 | 1 | 4 | yes | — |
| 275 | C8×Q8 | C22×C71 | 1 | 4 | yes | — |
| 276 | #441 | C22×C71 | 1 | 8 | yes | — |
| 277 | C4×Q16 | C22×C71 | 1 | 4 | yes | — |
| 278 | C4×Q16 | C22×C71 | 1 | 8 | yes | — |
| 279 | C4×SD16 | C22×C71 | 1 | 4 | yes | — |
| 280 | #433 | C22×C71 | 1 | 4 | yes | — |
| 281 | #431 | C22×C71 | 1 | 2 | yes | — |
| 282 | C2×#41 | C23×C71 | 1 | 1 | yes | characteristic |
| 283 | C22×Q8 | C23×C71 | 1 | 2 | yes | — |
| 284 | C2×Q16 | C23×C71 | 1 | 8 | yes | — |
| 285 | C2×Q16 | C23×C71 | 1 | 4 | yes | — |
| 286 | C2×Q16 | C23×C71 | 1 | 8 | yes | — |
| 287 | C2×SD16 | C23×C71 | 1 | 4 | yes | — |
| 288 | C4⋊Q8 | — | 2 | 4 | no | — |
| 289 | C4⋊Q8 | — | 2 | 1 | no | — |
| 290 | C4⋊Q8 | — | 2 | 1 | no | — |
| 291 | C4⋊Q8 | D4×C71 | 1 | 2 | yes | — |
| 292 | C4⋊Q8 | C23×C71 | 1 | 4 | yes | — |
| 293 | C4⋊Q8 | C23×C71 | 1 | 2 | yes | — |
| 294 | C4⋊Q8 | C23×C71 | 1 | 4 | yes | — |
| 295 | C4⋊Q8 | C23×C71 | 1 | 4 | yes | — |
| 296 | C4⋊Q8 | C23×C71 | 1 | 2 | yes | — |
| 297 | #126 | — | 2 | 8 | no | — |
| 298 | #126 | — | 2 | 8 | no | — |
| 299 | #125 | — | 2 | 4 | no | — |
| 300 | #125 | — | 2 | 8 | no | — |
| 301 | #125 | — | 2 | 4 | no | — |
| 302 | #125 | — | 2 | 8 | no | — |
| 303 | #125 | — | 2 | 8 | no | — |
| 304 | #125 | — | 2 | 8 | no | — |
| 305 | #125 | — | 2 | 2 | no | — |
| 306 | #125 | D4×C71 | 1 | 2 | yes | — |
| 307 | #125 | C23×C71 | 1 | 4 | yes | — |
| 308 | #124 | C23×C71 | 1 | 4 | yes | — |
| 309 | #123 | — | 2 | 4 | no | — |
| 310 | C22⋊Q8 | — | 2 | 4 | no | — |
| 311 | C22⋊Q8 | — | 2 | 2 | no | — |
| 312 | C22⋊Q8 | — | 2 | 4 | no | — |
| 313 | C22⋊Q8 | D4×C71 | 1 | 4 | yes | — |
| 314 | C22⋊Q8 | C23×C71 | 1 | 4 | yes | — |
| 315 | C4×Q8 | — | 2 | 4 | no | — |
| 316 | C4×Q8 | — | 2 | 4 | no | — |
| 317 | C4×Q8 | — | 2 | 4 | no | — |
| 318 | C4×Q8 | — | 2 | 4 | no | — |
| 319 | C4×Q8 | — | 2 | 2 | no | — |
| 320 | C4×Q8 | C23×C71 | 1 | 2 | yes | — |
| 321 | C4×Q8 | C23×C71 | 1 | 8 | yes | — |
| 322 | C4×Q8 | C23×C71 | 1 | 4 | yes | — |
| 323 | C4×Q8 | C23×C71 | 1 | 8 | yes | — |
| 324 | C4×Q8 | C23×C71 | 1 | 4 | yes | — |
| 325 | C4×D4 | — | 2 | 2 | no | — |
| 326 | C4×D4 | C23×C71 | 1 | 2 | yes | — |
| 327 | #117 | — | 2 | 2 | no | — |
| 328 | #117 | — | 2 | 4 | no | — |
| 329 | #117 | — | 2 | 4 | no | — |
| 330 | #117 | — | 2 | 1 | no | — |
| 331 | #117 | C23×C71 | 1 | 1 | yes | characteristic |
| 332 | #117 | C23×C71 | 1 | 2 | yes | — |
| 333 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 334 | C2×C42 | — | 2 | 1 | no | — |
| 335 | C2×C42 | C23×C71 | 1 | 1 | yes | characteristic |
| 336 | #107 | C23×C71 | 1 | 4 | yes | — |
| 337 | #106 | C23×C71 | 1 | 4 | yes | — |
| 338 | C4⋊C8 | C23×C71 | 1 | 2 | yes | — |
| 339 | C4⋊C8 | C23×C71 | 1 | 2 | yes | — |
| 340 | C4⋊C8 | C23×C71 | 1 | 8 | yes | — |
| 341 | #103 | C23×C71 | 1 | 4 | yes | — |
| 342 | #103 | C23×C71 | 1 | 4 | yes | — |
| 343 | #103 | C23×C71 | 1 | 8 | yes | — |
| 344 | #103 | C23×C71 | 1 | 4 | yes | — |
| 345 | #103 | C23×C71 | 1 | 8 | yes | — |
| 346 | #102 | C23×C71 | 1 | 4 | yes | — |
| 347 | C22⋊C8 | C23×C71 | 1 | 4 | yes | — |
| 348 | #97 | C23×C71 | 1 | 4 | yes | — |
| 349 | C4×C8 | C23×C71 | 1 | 4 | yes | — |
| 350 | C4×C8 | C23×C71 | 1 | 4 | yes | — |
| 351 | #41 | — | 4 | 2 | no | — |
| 352 | C2×Q8 | — | 2 | 2 | no | — |
| 353 | C2×Q8 | — | 2 | 2 | no | — |
| 354 | C2×Q8 | — | 4 | 4 | no | — |
| 355 | C2×Q8 | C2×D4×C71 | 1 | 4 | yes | — |
| 356 | C2×Q8 | C24×C71 | 1 | 4 | yes | — |
| 357 | C2×Q8 | C24×C71 | 1 | 1 | yes | characteristic |
| 358 | C2×Q8 | C24×C71 | 1 | 4 | yes | — |
| 359 | C2×D4 | — | 2 | 1 | no | — |
| 360 | C2×D4 | C24×C71 | 1 | 1 | yes | characteristic |
| 361 | C22×C4 | — | 2 | 2 | no | — |
| 362 | C22×C4 | — | 2 | 2 | no | — |
| 363 | C22×C4 | — | 2 | 1 | no | — |
| 364 | C22×C4 | C2×D4×C71 | 1 | 2 | yes | — |
| 365 | C22×C4 | C24×C71 | 1 | 1 | yes | characteristic |
| 366 | Q16 | — | 4 | 8 | no | — |
| 367 | Q16 | — | 4 | 8 | no | — |
| 368 | Q16 | — | 4 | 4 | no | — |
| 369 | SD16 | — | 4 | 4 | no | — |
| 370 | C2×C8 | C24×C71 | 1 | 4 | yes | — |
| 371 | C2×C8 | C24×C71 | 1 | 4 | yes | — |
| 372 | C4⋊C4 | — | 2 | 4 | no | — |
| 373 | C4⋊C4 | — | 2 | 4 | no | — |
| 374 | C4⋊C4 | — | 2 | 2 | no | — |
| 375 | C4⋊C4 | — | 2 | 8 | no | — |
| 376 | C4⋊C4 | — | 2 | 2 | no | — |
| 377 | C4⋊C4 | — | 2 | 2 | no | — |
| 378 | C4⋊C4 | — | 2 | 2 | no | — |
| 379 | C4⋊C4 | — | 2 | 8 | no | — |
| 380 | C4⋊C4 | — | 2 | 4 | no | — |
| 381 | C4⋊C4 | — | 2 | 8 | no | — |
| 382 | C4⋊C4 | — | 2 | 8 | no | — |
| 383 | C4⋊C4 | — | 2 | 4 | no | — |
| 384 | C4⋊C4 | — | 2 | 8 | no | — |
| 385 | C4⋊C4 | C2×D4×C71 | 1 | 4 | yes | — |
| 386 | C4⋊C4 | C2×D4×C71 | 1 | 4 | yes | — |
| 387 | C4⋊C4 | C2×D4×C71 | 1 | 8 | yes | — |
| 388 | C4⋊C4 | C24×C71 | 1 | 4 | yes | — |
| 389 | C4⋊C4 | C24×C71 | 1 | 2 | yes | — |
| 390 | C22⋊C4 | — | 2 | 1 | no | — |
| 391 | C22⋊C4 | — | 2 | 4 | no | — |
| 392 | C22⋊C4 | — | 2 | 2 | no | — |
| 393 | C22⋊C4 | — | 2 | 8 | no | — |
| 394 | C22⋊C4 | C2×D4×C71 | 1 | 4 | yes | — |
| 395 | C42 | — | 2 | 1 | no | — |
| 396 | C42 | — | 2 | 2 | no | — |
| 397 | C42 | — | 2 | 8 | no | — |
| 398 | C42 | — | 2 | 4 | no | — |
| 399 | C42 | — | 2 | 8 | no | — |
| 400 | C42 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 401 | C42 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 402 | C42 | C24×C71 | 1 | 2 | yes | — |
| 403 | C42 | C24×C71 | 1 | 4 | yes | — |
| 404 | C23 | — | 2 | 1 | no | — |
| 405 | C23 | C22×D4×C71 | 1 | 1 | yes | characteristic |
| 406 | Q8 | — | 2 | 8 | no | — |
| 407 | Q8 | — | 2 | 4 | no | — |
| 408 | Q8 | — | 2 | 4 | no | — |
| 409 | Q8 | — | 2 | 8 | no | — |
| 410 | Q8 | — | 2 | 2 | no | — |
| 411 | Q8 | — | 4 | 4 | no | — |
| 412 | Q8 | — | 4 | 4 | no | — |
| 413 | D4 | — | 2 | 2 | no | — |
| 414 | D4 | — | 4 | 2 | no | — |
| 415 | C2×C4 | — | 2 | 4 | no | — |
| 416 | C2×C4 | — | 2 | 2 | no | — |
| 417 | C2×C4 | — | 2 | 2 | no | — |
| 418 | C2×C4 | — | 2 | 4 | no | — |
| 419 | C2×C4 | — | 2 | 4 | no | — |
| 420 | C2×C4 | — | 2 | 4 | no | — |
| 421 | C2×C4 | — | 2 | 1 | no | — |
| 422 | C2×C4 | — | 4 | 2 | no | — |
| 423 | C2×C4 | — | 4 | 4 | no | — |
| 424 | C2×C4 | — | 4 | 4 | no | — |
| 425 | C2×C4 | C22×D4×C71 | 1 | 8 | yes | — |
| 426 | C2×C4 | C22×D4×C71 | 1 | 1 | yes | characteristic |
| 427 | C2×C4 | C22×D4×C71 | 1 | 2 | yes | — |
| 428 | C2×C4 | C22×D4×C71 | 1 | 2 | yes | — |
| 429 | C2×C4 | C25×C71 | 1 | 1 | yes | characteristic |
| 430 | C8 | — | 2 | 4 | no | — |
| 431 | C8 | — | 2 | 4 | no | — |
| 432 | C22 | — | 2 | 2 | no | — |
| 433 | C22 | — | 2 | 1 | no | — |
| 434 | C22 | — | 4 | 2 | no | — |
| 435 | C22 | — | 4 | 1 | no | — |
| 436 | C22 | C23×D4×C71 | 1 | 1 | yes | characteristic |
| 437 | C4 | — | 2 | 2 | no | — |
| 438 | C4 | — | 2 | 8 | no | — |
| 439 | C4 | — | 2 | 1 | no | — |
| 440 | C4 | — | 4 | 2 | no | — |
| 441 | C4 | — | 4 | 4 | no | — |
| 442 | C4 | — | 4 | 1 | no | — |
| 443 | C4 | — | 4 | 4 | no | — |
| 444 | C4 | — | 4 | 4 | no | — |
| 445 | C4 | #578×C71 | 1 | 4 | yes | — |
| 446 | C4 | #585×C71 | 1 | 2 | yes | — |
| 447 | C2 | — | 4 | 1 | no | — |
| 448 | C2 | — | 8 | 1 | no | — |
| 449 | C2 | C71×#3487 | 1 | 1 | yes | characteristic |
| 450 | C2 | C2×#578×C71 | 1 | 2 | yes | — |
Finite Group Databasebeta