| 1 | C2×#504×C71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C71×#2955 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C71×#2117 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#350×C71 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C71×#2115 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C71×#1379 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C71×#1378 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #575×C71 | C4 | 1 | 1 | yes | characteristic |
| 9 | C2×#131×C71 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#131×C71 | C22 | 1 | 1 | yes | characteristic |
| 11 | #504×C71 | — | 2 | 2 | no | — |
| 12 | #504×C71 | — | 2 | 2 | no | — |
| 13 | C2×M32×C71 | — | 2 | 1 | no | — |
| 14 | C2×M32×C71 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×M32×C71 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×M32×C71 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×C16×C71 | — | 2 | 1 | no | — |
| 18 | C22×C16×C71 | C22 | 1 | 1 | yes | characteristic |
| 19 | #444×C71 | — | 2 | 2 | no | — |
| 20 | #443×C71 | — | 2 | 2 | no | — |
| 21 | #430×C71 | C4 | 1 | 1 | yes | characteristic |
| 22 | #421×C71 | C4 | 1 | 1 | yes | characteristic |
| 23 | #421×C71 | C4 | 1 | 1 | yes | characteristic |
| 24 | #405×C71 | C22 | 1 | 1 | yes | characteristic |
| 25 | #350×C71 | — | 2 | 2 | no | — |
| 26 | #350×C71 | — | 2 | 1 | no | — |
| 27 | #350×C71 | — | 2 | 1 | no | — |
| 28 | #349×C71 | — | 2 | 2 | no | — |
| 29 | C2×#41×C71 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C2×#41×C71 | C2×C4 | 1 | 1 | yes | characteristic |
| 31 | #137×C71 | — | 2 | 1 | no | — |
| 32 | #137×C71 | C8 | 1 | 2 | yes | — |
| 33 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 34 | AGL(1,ℤ/8)×C71 | C8 | 1 | 2 | yes | — |
| 35 | #135×C71 | — | 2 | 2 | no | — |
| 36 | #131×C71 | — | 2 | 1 | no | — |
| 37 | #131×C71 | — | 2 | 1 | no | — |
| 38 | #131×C71 | — | 2 | 1 | no | — |
| 39 | #131×C71 | — | 2 | 1 | no | — |
| 40 | #131×C71 | — | 2 | 1 | no | — |
| 41 | #131×C71 | — | 2 | 1 | no | — |
| 42 | #131×C71 | D4 | 1 | 2 | yes | — |
| 43 | #131×C71 | D4 | 1 | 2 | yes | — |
| 44 | C2×M16×C71 | — | 2 | 1 | no | — |
| 45 | C2×M16×C71 | — | 2 | 1 | no | — |
| 46 | C2×M16×C71 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | C2×M16×C71 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | C2×M16×C71 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | C22×C8×C71 | — | 2 | 1 | no | — |
| 50 | C22×C8×C71 | — | 2 | 1 | no | — |
| 51 | C22×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 52 | #117×C71 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | M32×C71 | — | 2 | 4 | no | — |
| 54 | M32×C71 | — | 2 | 1 | no | — |
| 55 | M32×C71 | — | 2 | 1 | no | — |
| 56 | M32×C71 | — | 2 | 1 | no | — |
| 57 | M32×C71 | — | 2 | 1 | no | — |
| 58 | M32×C71 | — | 2 | 1 | no | — |
| 59 | M32×C71 | D4 | 1 | 2 | yes | — |
| 60 | C2×C16×C71 | — | 2 | 4 | no | — |
| 61 | C2×C16×C71 | — | 2 | 1 | no | — |
| 62 | C2×C16×C71 | — | 2 | 1 | no | — |
| 63 | C2×C16×C71 | — | 2 | 1 | no | — |
| 64 | C2×C16×C71 | — | 2 | 1 | no | — |
| 65 | C2×C16×C71 | — | 2 | 1 | no | — |
| 66 | C2×C16×C71 | D4 | 1 | 1 | yes | characteristic |
| 67 | C2×C16×C71 | D4 | 1 | 1 | yes | characteristic |
| 68 | #108×C71 | — | 2 | 2 | no | — |
| 69 | #104×C71 | — | 2 | 2 | no | — |
| 70 | #104×C71 | — | 2 | 2 | no | — |
| 71 | #97×C71 | — | 2 | 1 | no | — |
| 72 | C4×C8×C71 | — | 2 | 1 | no | — |
| 73 | #41×C71 | — | 2 | 1 | no | — |
| 74 | #41×C71 | — | 2 | 1 | no | — |
| 75 | #41×C71 | — | 2 | 1 | no | — |
| 76 | #41×C71 | — | 2 | 1 | no | — |
| 77 | #41×C71 | — | 2 | 1 | no | — |
| 78 | #41×C71 | — | 2 | 1 | no | — |
| 79 | #41×C71 | C22⋊C4 | 1 | 2 | yes | — |
| 80 | #41×C71 | C2×C8 | 1 | 2 | yes | — |
| 81 | C2×Q8×C71 | C2×C8 | 1 | 1 | yes | characteristic |
| 82 | C2×Q8×C71 | M16 | 1 | 1 | yes | characteristic |
| 83 | C2×D4×C71 | — | 2 | 1 | no | — |
| 84 | C2×D4×C71 | — | 2 | 1 | no | — |
| 85 | C2×D4×C71 | C2×C8 | 1 | 1 | yes | characteristic |
| 86 | C2×D4×C71 | M16 | 1 | 1 | yes | characteristic |
| 87 | C22×C4×C71 | — | 2 | 1 | no | — |
| 88 | C22×C4×C71 | — | 2 | 1 | no | — |
| 89 | C22×C4×C71 | C22×C4 | 1 | 1 | yes | characteristic |
| 90 | Q16×C71 | — | 2 | 2 | no | — |
| 91 | SD16×C71 | — | 2 | 2 | no | — |
| 92 | SD16×C71 | — | 2 | 2 | no | — |
| 93 | D8×C71 | — | 2 | 2 | no | — |
| 94 | M16×C71 | — | 2 | 1 | no | — |
| 95 | M16×C71 | — | 2 | 1 | no | — |
| 96 | M16×C71 | — | 2 | 2 | no | — |
| 97 | M16×C71 | — | 2 | 2 | no | — |
| 98 | M16×C71 | — | 2 | 1 | no | — |
| 99 | M16×C71 | — | 2 | 1 | no | — |
| 100 | M16×C71 | — | 4 | 1 | no | — |
| 101 | M16×C71 | — | 4 | 1 | no | — |
| 102 | M16×C71 | C22⋊C4 | 1 | 2 | yes | — |
| 103 | M16×C71 | C2×C8 | 1 | 2 | yes | — |
| 104 | C2×C8×C71 | — | 2 | 1 | no | — |
| 105 | C2×C8×C71 | — | 2 | 1 | no | — |
| 106 | C2×C8×C71 | — | 2 | 2 | no | — |
| 107 | C2×C8×C71 | — | 2 | 2 | no | — |
| 108 | C2×C8×C71 | — | 2 | 1 | no | — |
| 109 | C2×C8×C71 | — | 4 | 1 | no | — |
| 110 | C2×C8×C71 | — | 4 | 1 | no | — |
| 111 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C2×C8×C71 | #41 | 1 | 1 | yes | characteristic |
| 116 | C2×C8×C71 | #41 | 1 | 1 | yes | characteristic |
| 117 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 118 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 119 | C42×C71 | — | 2 | 1 | no | — |
| 120 | C16×C71 | — | 2 | 1 | no | — |
| 121 | C16×C71 | — | 2 | 2 | no | — |
| 122 | C16×C71 | — | 2 | 1 | no | — |
| 123 | C16×C71 | — | 4 | 1 | no | — |
| 124 | C16×C71 | — | 4 | 1 | no | — |
| 125 | C23×C71 | — | 2 | 1 | no | — |
| 126 | C23×C71 | — | 2 | 1 | no | — |
| 127 | C23×C71 | #131 | 1 | 1 | yes | characteristic |
| 128 | Q8×C71 | — | 2 | 1 | no | — |
| 129 | Q8×C71 | — | 2 | 1 | no | — |
| 130 | Q8×C71 | — | 2 | 1 | no | — |
| 131 | Q8×C71 | C22⋊C8 | 1 | 2 | yes | — |
| 132 | D4×C71 | — | 2 | 2 | no | — |
| 133 | D4×C71 | — | 2 | 2 | no | — |
| 134 | D4×C71 | — | 2 | 1 | no | — |
| 135 | D4×C71 | — | 2 | 1 | no | — |
| 136 | D4×C71 | — | 2 | 1 | no | — |
| 137 | D4×C71 | — | 4 | 1 | no | — |
| 138 | D4×C71 | — | 4 | 1 | no | — |
| 139 | D4×C71 | C22⋊C8 | 1 | 2 | yes | — |
| 140 | C2×C4×C71 | — | 2 | 1 | no | — |
| 141 | C2×C4×C71 | — | 2 | 2 | no | — |
| 142 | C2×C4×C71 | — | 2 | 2 | no | — |
| 143 | C2×C4×C71 | — | 2 | 1 | no | — |
| 144 | C2×C4×C71 | — | 4 | 1 | no | — |
| 145 | C2×C4×C71 | — | 4 | 1 | no | — |
| 146 | C2×C4×C71 | — | 4 | 1 | no | — |
| 147 | C2×C4×C71 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 148 | C2×C4×C71 | C4×D4 | 1 | 1 | yes | characteristic |
| 149 | C2×C4×C71 | C4×D4 | 1 | 1 | yes | characteristic |
| 150 | C2×C4×C71 | C22×C8 | 1 | 1 | yes | characteristic |
| 151 | C2×C4×C71 | C2×M16 | 1 | 1 | yes | characteristic |
| 152 | C2×C4×C71 | #131 | 1 | 1 | yes | characteristic |
| 153 | C8×C71 | — | 2 | 2 | no | — |
| 154 | C8×C71 | — | 2 | 2 | no | — |
| 155 | C8×C71 | — | 4 | 1 | no | — |
| 156 | C8×C71 | #120 | 1 | 1 | yes | characteristic |
| 157 | C8×C71 | #121 | 1 | 1 | yes | characteristic |
| 158 | C8×C71 | #121 | 1 | 1 | yes | characteristic |
| 159 | C8×C71 | #123 | 1 | 1 | yes | characteristic |
| 160 | C22×C71 | — | 2 | 2 | no | — |
| 161 | C22×C71 | — | 4 | 1 | no | — |
| 162 | C22×C71 | — | 4 | 2 | no | — |
| 163 | C22×C71 | — | 4 | 1 | no | — |
| 164 | C22×C71 | — | 8 | 1 | no | — |
| 165 | C22×C71 | #408 | 1 | 1 | yes | characteristic |
| 166 | C22×C71 | C8×D4 | 1 | 1 | yes | characteristic |
| 167 | C22×C71 | #435 | 1 | 1 | yes | characteristic |
| 168 | C4×C71 | — | 2 | 2 | no | — |
| 169 | C4×C71 | — | 4 | 1 | no | — |
| 170 | C4×C71 | — | 8 | 1 | no | — |
| 171 | C4×C71 | #386 | 1 | 1 | yes | characteristic |
| 172 | C4×C71 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 173 | C4×C71 | C8×D4 | 1 | 1 | yes | characteristic |
| 174 | C4×C71 | #435 | 1 | 1 | yes | characteristic |
| 175 | #12987 | C71 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 176 | C2×C71 | — | 2 | 1 | no | — |
| 177 | C2×C71 | — | 2 | 1 | no | — |
| 178 | C2×C71 | — | 2 | 1 | no | — |
| 179 | C2×C71 | — | 4 | 2 | no | — |
| 180 | C2×C71 | — | 8 | 1 | no | — |
| 181 | C2×C71 | #1869 | 1 | 1 | yes | characteristic |
| 182 | C2×#504 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 183 | #2955 | C2×C71 | 1 | 1 | yes | characteristic |
| 184 | #2117 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 185 | C2×#350 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 186 | #2115 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 187 | #1379 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 188 | #1378 | C2×C71 | 1 | 1 | yes | characteristic, complemented |
| 189 | C71 | #12987 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 190 | #575 | C4×C71 | 1 | 1 | yes | characteristic |
| 191 | C2×#131 | C22×C71 | 1 | 1 | yes | characteristic |
| 192 | C2×#131 | C22×C71 | 1 | 1 | yes | characteristic |
| 193 | #504 | — | 2 | 2 | no | — |
| 194 | #504 | — | 2 | 2 | no | — |
| 195 | C2×M32 | — | 2 | 1 | no | — |
| 196 | C2×M32 | C22×C71 | 1 | 1 | yes | characteristic |
| 197 | C2×M32 | C22×C71 | 1 | 1 | yes | characteristic |
| 198 | C2×M32 | C22×C71 | 1 | 1 | yes | characteristic |
| 199 | C22×C16 | — | 2 | 1 | no | — |
| 200 | C22×C16 | C22×C71 | 1 | 1 | yes | characteristic |
| 201 | #444 | — | 2 | 2 | no | — |
| 202 | #443 | — | 2 | 2 | no | — |
| 203 | #430 | C4×C71 | 1 | 1 | yes | characteristic |
| 204 | #421 | C4×C71 | 1 | 1 | yes | characteristic |
| 205 | #421 | C4×C71 | 1 | 1 | yes | characteristic |
| 206 | #405 | C22×C71 | 1 | 1 | yes | characteristic |
| 207 | #350 | — | 2 | 2 | no | — |
| 208 | #350 | — | 2 | 1 | no | — |
| 209 | #350 | — | 2 | 1 | no | — |
| 210 | #349 | — | 2 | 2 | no | — |
| 211 | C2×#41 | C2×C4×C71 | 1 | 1 | yes | characteristic |
| 212 | C2×#41 | C2×C4×C71 | 1 | 1 | yes | characteristic |
| 213 | #137 | — | 2 | 1 | no | — |
| 214 | #137 | C8×C71 | 1 | 2 | yes | — |
| 215 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 216 | AGL(1,ℤ/8) | C8×C71 | 1 | 2 | yes | — |
| 217 | #135 | — | 2 | 2 | no | — |
| 218 | #131 | — | 2 | 1 | no | — |
| 219 | #131 | — | 2 | 1 | no | — |
| 220 | #131 | — | 2 | 1 | no | — |
| 221 | #131 | — | 2 | 1 | no | — |
| 222 | #131 | — | 2 | 1 | no | — |
| 223 | #131 | — | 2 | 1 | no | — |
| 224 | #131 | D4×C71 | 1 | 2 | yes | — |
| 225 | #131 | D4×C71 | 1 | 2 | yes | — |
| 226 | C2×M16 | — | 2 | 1 | no | — |
| 227 | C2×M16 | — | 2 | 1 | no | — |
| 228 | C2×M16 | C2×C4×C71 | 1 | 1 | yes | characteristic |
| 229 | C2×M16 | C2×C4×C71 | 1 | 1 | yes | characteristic |
| 230 | C2×M16 | C2×C4×C71 | 1 | 1 | yes | characteristic |
| 231 | C22×C8 | — | 2 | 1 | no | — |
| 232 | C22×C8 | — | 2 | 1 | no | — |
| 233 | C22×C8 | C23×C71 | 1 | 1 | yes | characteristic |
| 234 | #117 | C2×C4×C71 | 1 | 1 | yes | characteristic |
| 235 | M32 | — | 2 | 4 | no | — |
| 236 | M32 | — | 2 | 1 | no | — |
| 237 | M32 | — | 2 | 1 | no | — |
| 238 | M32 | — | 2 | 1 | no | — |
| 239 | M32 | — | 2 | 1 | no | — |
| 240 | M32 | — | 2 | 1 | no | — |
| 241 | M32 | D4×C71 | 1 | 2 | yes | — |
| 242 | C2×C16 | — | 2 | 4 | no | — |
| 243 | C2×C16 | — | 2 | 1 | no | — |
| 244 | C2×C16 | — | 2 | 1 | no | — |
| 245 | C2×C16 | — | 2 | 1 | no | — |
| 246 | C2×C16 | — | 2 | 1 | no | — |
| 247 | C2×C16 | — | 2 | 1 | no | — |
| 248 | C2×C16 | D4×C71 | 1 | 1 | yes | characteristic |
| 249 | C2×C16 | D4×C71 | 1 | 1 | yes | characteristic |
| 250 | #108 | — | 2 | 2 | no | — |
| 251 | #104 | — | 2 | 2 | no | — |
| 252 | #104 | — | 2 | 2 | no | — |
| 253 | #97 | — | 2 | 1 | no | — |
| 254 | C4×C8 | — | 2 | 1 | no | — |
| 255 | #41 | — | 2 | 1 | no | — |
| 256 | #41 | — | 2 | 1 | no | — |
| 257 | #41 | — | 2 | 1 | no | — |
| 258 | #41 | — | 2 | 1 | no | — |
| 259 | #41 | — | 2 | 1 | no | — |
| 260 | #41 | — | 2 | 1 | no | — |
| 261 | #41 | C22⋊C4×C71 | 1 | 2 | yes | — |
| 262 | #41 | C2×C8×C71 | 1 | 2 | yes | — |
| 263 | C2×Q8 | C2×C8×C71 | 1 | 1 | yes | characteristic |
| 264 | C2×Q8 | M16×C71 | 1 | 1 | yes | characteristic |
| 265 | C2×D4 | — | 2 | 1 | no | — |
| 266 | C2×D4 | — | 2 | 1 | no | — |
| 267 | C2×D4 | C2×C8×C71 | 1 | 1 | yes | characteristic |
| 268 | C2×D4 | M16×C71 | 1 | 1 | yes | characteristic |
| 269 | C22×C4 | — | 2 | 1 | no | — |
| 270 | C22×C4 | — | 2 | 1 | no | — |
| 271 | C22×C4 | C22×C4×C71 | 1 | 1 | yes | characteristic |
| 272 | Q16 | — | 2 | 2 | no | — |
| 273 | SD16 | — | 2 | 2 | no | — |
| 274 | SD16 | — | 2 | 2 | no | — |
| 275 | D8 | — | 2 | 2 | no | — |
| 276 | M16 | — | 2 | 1 | no | — |
| 277 | M16 | — | 2 | 1 | no | — |
| 278 | M16 | — | 2 | 2 | no | — |
| 279 | M16 | — | 2 | 2 | no | — |
| 280 | M16 | — | 2 | 1 | no | — |
| 281 | M16 | — | 2 | 1 | no | — |
| 282 | M16 | — | 4 | 1 | no | — |
| 283 | M16 | — | 4 | 1 | no | — |
| 284 | M16 | C22⋊C4×C71 | 1 | 2 | yes | — |
| 285 | M16 | C2×C8×C71 | 1 | 2 | yes | — |
| 286 | C2×C8 | — | 2 | 1 | no | — |
| 287 | C2×C8 | — | 2 | 1 | no | — |
| 288 | C2×C8 | — | 2 | 2 | no | — |
| 289 | C2×C8 | — | 2 | 2 | no | — |
| 290 | C2×C8 | — | 2 | 1 | no | — |
| 291 | C2×C8 | — | 4 | 1 | no | — |
| 292 | C2×C8 | — | 4 | 1 | no | — |
| 293 | C2×C8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 294 | C2×C8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 295 | C2×C8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 296 | C2×C8 | C2×D4×C71 | 1 | 1 | yes | characteristic |
| 297 | C2×C8 | #41×C71 | 1 | 1 | yes | characteristic |
| 298 | C2×C8 | #41×C71 | 1 | 1 | yes | characteristic |
| 299 | C4⋊C4 | — | 2 | 1 | no | — |
| 300 | C22⋊C4 | — | 2 | 1 | no | — |
| 301 | C42 | — | 2 | 1 | no | — |
| 302 | C16 | — | 2 | 1 | no | — |
| 303 | C16 | — | 2 | 2 | no | — |
| 304 | C16 | — | 2 | 1 | no | — |
| 305 | C16 | — | 4 | 1 | no | — |
| 306 | C16 | — | 4 | 1 | no | — |
| 307 | C23 | — | 2 | 1 | no | — |
| 308 | C23 | — | 2 | 1 | no | — |
| 309 | C23 | #131×C71 | 1 | 1 | yes | characteristic |
| 310 | Q8 | — | 2 | 1 | no | — |
| 311 | Q8 | — | 2 | 1 | no | — |
| 312 | Q8 | — | 2 | 1 | no | — |
| 313 | Q8 | C22⋊C8×C71 | 1 | 2 | yes | — |
| 314 | D4 | — | 2 | 2 | no | — |
| 315 | D4 | — | 2 | 2 | no | — |
| 316 | D4 | — | 2 | 1 | no | — |
| 317 | D4 | — | 2 | 1 | no | — |
| 318 | D4 | — | 2 | 1 | no | — |
| 319 | D4 | — | 4 | 1 | no | — |
| 320 | D4 | — | 4 | 1 | no | — |
| 321 | D4 | C22⋊C8×C71 | 1 | 2 | yes | — |
| 322 | C2×C4 | — | 2 | 1 | no | — |
| 323 | C2×C4 | — | 2 | 2 | no | — |
| 324 | C2×C4 | — | 2 | 2 | no | — |
| 325 | C2×C4 | — | 2 | 1 | no | — |
| 326 | C2×C4 | — | 4 | 1 | no | — |
| 327 | C2×C4 | — | 4 | 1 | no | — |
| 328 | C2×C4 | — | 4 | 1 | no | — |
| 329 | C2×C4 | C2×C22⋊C4×C71 | 1 | 1 | yes | characteristic |
| 330 | C2×C4 | C4×D4×C71 | 1 | 1 | yes | characteristic |
| 331 | C2×C4 | C4×D4×C71 | 1 | 1 | yes | characteristic |
| 332 | C2×C4 | C22×C8×C71 | 1 | 1 | yes | characteristic |
| 333 | C2×C4 | C2×M16×C71 | 1 | 1 | yes | characteristic |
| 334 | C2×C4 | #131×C71 | 1 | 1 | yes | characteristic |
| 335 | C8 | — | 2 | 2 | no | — |
| 336 | C8 | — | 2 | 2 | no | — |
| 337 | C8 | — | 4 | 1 | no | — |
| 338 | C8 | #120×C71 | 1 | 1 | yes | characteristic |
| 339 | C8 | #121×C71 | 1 | 1 | yes | characteristic |
| 340 | C8 | #121×C71 | 1 | 1 | yes | characteristic |
| 341 | C8 | #123×C71 | 1 | 1 | yes | characteristic |
| 342 | C22 | — | 2 | 2 | no | — |
| 343 | C22 | — | 4 | 1 | no | — |
| 344 | C22 | — | 4 | 2 | no | — |
| 345 | C22 | — | 4 | 1 | no | — |
| 346 | C22 | — | 8 | 1 | no | — |
| 347 | C22 | #408×C71 | 1 | 1 | yes | characteristic |
| 348 | C22 | C8×D4×C71 | 1 | 1 | yes | characteristic |
| 349 | C22 | #435×C71 | 1 | 1 | yes | characteristic |
| 350 | C4 | — | 2 | 2 | no | — |
| 351 | C4 | — | 4 | 1 | no | — |
| 352 | C4 | — | 8 | 1 | no | — |
| 353 | C4 | #386×C71 | 1 | 1 | yes | characteristic |
| 354 | C4 | C2×C22⋊C8×C71 | 1 | 1 | yes | characteristic |
| 355 | C4 | C8×D4×C71 | 1 | 1 | yes | characteristic |
| 356 | C4 | #435×C71 | 1 | 1 | yes | characteristic |
| 357 | C2 | — | 2 | 1 | no | — |
| 358 | C2 | — | 2 | 1 | no | — |
| 359 | C2 | — | 2 | 1 | no | — |
| 360 | C2 | — | 4 | 2 | no | — |
| 361 | C2 | — | 8 | 1 | no | — |
| 362 | C2 | C71×#1869 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta