| 1 | #22603153 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #22603126 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #22603124 | C2 | 1 | 12 | yes | maximal, complemented |
| 4 | #22603122 | C2 | 1 | 16 | yes | maximal, complemented |
| 5 | #22603109 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | #22603108 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | C2×#17986816 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#17986813 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | #578×D71 | C2 | 1 | 8 | yes | maximal, complemented |
| 10 | #22603051 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C71×#3584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #17986835 | — | 2 | 8 | no | — |
| 13 | #17986835 | C22 | 1 | 1 | yes | characteristic |
| 14 | #17986835 | C22 | 1 | 12 | yes | complemented |
| 15 | #17986834 | — | 2 | 12 | no | — |
| 16 | #17986834 | C22 | 1 | 16 | yes | complemented |
| 17 | C2×#14556175 | — | 2 | 8 | no | — |
| 18 | C2×#14556175 | C22 | 1 | 2 | yes | complemented |
| 19 | C2×#14556175 | C22 | 1 | 12 | yes | complemented |
| 20 | 2−1+4×D71 | — | 2 | 4 | no | — |
| 21 | 2−1+4×D71 | C22 | 1 | 16 | yes | complemented |
| 22 | #17986816 | C22 | 1 | 8 | yes | complemented |
| 23 | #17986816 | C22 | 1 | 8 | yes | complemented |
| 24 | #17986815 | C22 | 1 | 48 | yes | complemented |
| 25 | #17986814 | C22 | 1 | 16 | yes | complemented |
| 26 | #17986813 | C22 | 1 | 24 | yes | complemented |
| 27 | #17986813 | C22 | 1 | 12 | yes | complemented |
| 28 | #17986813 | C22 | 1 | 24 | yes | complemented |
| 29 | #17986813 | C22 | 1 | 24 | yes | complemented |
| 30 | #17986812 | C22 | 1 | 12 | yes | complemented |
| 31 | #17986810 | C22 | 1 | 16 | yes | complemented |
| 32 | #17986809 | C22 | 1 | 48 | yes | complemented |
| 33 | #17986806 | C22 | 1 | 24 | yes | complemented |
| 34 | #17986805 | C22 | 1 | 24 | yes | complemented |
| 35 | #17986801 | C22 | 1 | 4 | yes | complemented |
| 36 | #17986800 | C22 | 1 | 12 | yes | complemented |
| 37 | #17986797 | C22 | 1 | 12 | yes | complemented |
| 38 | #17986796 | C22 | 1 | 24 | yes | complemented |
| 39 | #17986795 | C22 | 1 | 48 | yes | complemented |
| 40 | C2×#14556161 | C22 | 1 | 6 | yes | complemented |
| 41 | C2×#14556158 | C22 | 1 | 12 | yes | complemented |
| 42 | C2×#14556157 | C22 | 1 | 24 | yes | complemented |
| 43 | #137×D71 | C22 | 1 | 48 | yes | complemented |
| 44 | C2×#14556150 | C22 | 1 | 3 | yes | complemented |
| 45 | C2×#14556147 | C22 | 1 | 12 | yes | complemented |
| 46 | #135×D71 | C22 | 1 | 24 | yes | complemented |
| 47 | C22×Dic284 | C22 | 1 | 3 | yes | complemented |
| 48 | C2×Q16×D71 | C22 | 1 | 12 | yes | complemented |
| 49 | #17986766 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #17986765 | C22 | 1 | 6 | yes | complemented |
| 51 | #17986764 | C22 | 1 | 8 | yes | complemented |
| 52 | C2×#14556134 | C22 | 1 | 6 | yes | complemented |
| 53 | #131×D71 | C22 | 1 | 8 | yes | complemented |
| 54 | #585×C71 | C22 | 1 | 2 | yes | complemented |
| 55 | #578×C71 | C22 | 1 | 4 | yes | complemented |
| 56 | #577×C71 | C22 | 1 | 8 | yes | complemented |
| 57 | #576×C71 | C22 | 1 | 4 | yes | complemented |
| 58 | #575×C71 | C22 | 1 | 6 | yes | complemented |
| 59 | C2×#135×C71 | C22 | 1 | 6 | yes | complemented |
| 60 | C2×#131×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #14556176 | — | 2 | 16 | no | — |
| 62 | #14556176 | D4 | 1 | 2 | yes | — |
| 63 | #14556176 | C23 | 1 | 24 | yes | — |
| 64 | #14556175 | — | 2 | 24 | no | — |
| 65 | #14556175 | — | 2 | 24 | no | — |
| 66 | #14556175 | — | 2 | 48 | no | — |
| 67 | #14556175 | — | 2 | 12 | no | — |
| 68 | #14556175 | — | 2 | 16 | no | — |
| 69 | #14556175 | — | 2 | 8 | no | — |
| 70 | #14556175 | D4 | 1 | 4 | yes | — |
| 71 | #14556175 | C23 | 1 | 16 | yes | — |
| 72 | #14556175 | C23 | 1 | 48 | yes | — |
| 73 | #14556175 | C23 | 1 | 24 | yes | — |
| 74 | #14556174 | — | 2 | 12 | no | — |
| 75 | #14556174 | D4 | 1 | 4 | yes | — |
| 76 | #14556174 | C23 | 1 | 8 | yes | — |
| 77 | #14556173 | — | 2 | 24 | no | — |
| 78 | #14556173 | — | 2 | 48 | no | — |
| 79 | #14556173 | D4 | 1 | 6 | yes | — |
| 80 | #14556173 | C23 | 1 | 24 | yes | — |
| 81 | C2×#11765865 | — | 2 | 24 | no | — |
| 82 | C2×#11765865 | — | 2 | 12 | no | — |
| 83 | C2×#11765865 | C23 | 1 | 6 | yes | — |
| 84 | C2×#11765865 | C23 | 1 | 6 | yes | — |
| 85 | C2×#11765864 | — | 2 | 48 | no | — |
| 86 | C2×#11765864 | — | 2 | 24 | no | — |
| 87 | C2×#11765864 | — | 2 | 6 | no | — |
| 88 | C2×#11765864 | C23 | 1 | 24 | yes | — |
| 89 | #41×D71 | — | 2 | 16 | no | — |
| 90 | #41×D71 | — | 2 | 24 | no | — |
| 91 | #41×D71 | — | 2 | 48 | no | — |
| 92 | #41×D71 | C23 | 1 | 48 | yes | — |
| 93 | #41×D71 | C23 | 1 | 8 | yes | — |
| 94 | C22×Dic142 | — | 2 | 12 | no | — |
| 95 | C22×Dic142 | C23 | 1 | 6 | yes | — |
| 96 | C2×Q8×D71 | — | 2 | 16 | no | — |
| 97 | C2×Q8×D71 | — | 2 | 2 | no | — |
| 98 | C2×Q8×D71 | C23 | 1 | 24 | yes | — |
| 99 | #14556161 | C23 | 1 | 48 | yes | — |
| 100 | #14556160 | C23 | 1 | 48 | yes | — |
| 101 | #14556159 | C23 | 1 | 24 | yes | — |
| 102 | #14556158 | C23 | 1 | 48 | yes | — |
| 103 | #14556158 | C23 | 1 | 24 | yes | — |
| 104 | #14556157 | C23 | 1 | 96 | yes | — |
| 105 | #14556157 | C23 | 1 | 48 | yes | — |
| 106 | #14556155 | C23 | 1 | 16 | yes | — |
| 107 | #14556154 | C23 | 1 | 24 | yes | — |
| 108 | #14556153 | C23 | 1 | 8 | yes | — |
| 109 | #14556152 | C23 | 1 | 48 | yes | — |
| 110 | #14556151 | C23 | 1 | 8 | yes | — |
| 111 | #14556150 | C23 | 1 | 12 | yes | — |
| 112 | #14556150 | C23 | 1 | 12 | yes | — |
| 113 | #14556149 | C23 | 1 | 48 | yes | — |
| 114 | #14556148 | C23 | 1 | 48 | yes | — |
| 115 | #14556147 | C23 | 1 | 24 | yes | — |
| 116 | #14556147 | C23 | 1 | 48 | yes | — |
| 117 | C2×Dic284 | C23 | 1 | 12 | yes | — |
| 118 | C2×Dic284 | C23 | 1 | 12 | yes | — |
| 119 | C2×Dic284 | C23 | 1 | 3 | yes | — |
| 120 | C2×Dic284 | C23 | 1 | 6 | yes | — |
| 121 | C2×#11765855 | C23 | 1 | 24 | yes | — |
| 122 | Q16×D71 | C23 | 1 | 24 | yes | — |
| 123 | Q16×D71 | C23 | 1 | 48 | yes | — |
| 124 | C2×#11765854 | C23 | 1 | 6 | yes | — |
| 125 | C2×#11765853 | C23 | 1 | 24 | yes | — |
| 126 | SD16×D71 | C23 | 1 | 48 | yes | — |
| 127 | C2×D568 | C23 | 1 | 1 | yes | characteristic |
| 128 | D8×D71 | C23 | 1 | 8 | yes | — |
| 129 | #14556136 | C23 | 1 | 24 | yes | — |
| 130 | #14556135 | C23 | 1 | 8 | yes | — |
| 131 | #14556134 | C23 | 1 | 12 | yes | — |
| 132 | #14556134 | C23 | 1 | 4 | yes | — |
| 133 | #14556134 | C23 | 1 | 12 | yes | — |
| 134 | #14556134 | C23 | 1 | 12 | yes | — |
| 135 | C2×#11765849 | C23 | 1 | 6 | yes | — |
| 136 | C2×#11765848 | C23 | 1 | 12 | yes | — |
| 137 | M16×D71 | C23 | 1 | 24 | yes | — |
| 138 | C2×C8×D71 | C23 | 1 | 12 | yes | — |
| 139 | 2−1+4×C71 | — | 2 | 2 | no | — |
| 140 | 2−1+4×C71 | C23 | 1 | 8 | yes | — |
| 141 | H(5,𝔽2)×C71 | — | 2 | 6 | no | — |
| 142 | H(5,𝔽2)×C71 | C23 | 1 | 8 | yes | — |
| 143 | C2×#41×C71 | — | 2 | 8 | no | — |
| 144 | C2×#41×C71 | C23 | 1 | 12 | yes | — |
| 145 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 146 | #137×C71 | C23 | 1 | 24 | yes | — |
| 147 | AGL(1,ℤ/8)×C71 | C23 | 1 | 24 | yes | — |
| 148 | #135×C71 | C23 | 1 | 4 | yes | — |
| 149 | #135×C71 | C23 | 1 | 12 | yes | — |
| 150 | #135×C71 | C23 | 1 | 12 | yes | — |
| 151 | #135×C71 | C23 | 1 | 12 | yes | — |
| 152 | C2×Q16×C71 | C23 | 1 | 6 | yes | — |
| 153 | C2×SD16×C71 | C23 | 1 | 12 | yes | — |
| 154 | C2×D8×C71 | C23 | 1 | 6 | yes | — |
| 155 | #131×C71 | C23 | 1 | 4 | yes | — |
| 156 | #131×C71 | C23 | 1 | 4 | yes | — |
| 157 | C2×M16×C71 | C23 | 1 | 3 | yes | — |
| 158 | C22×C8×C71 | C23 | 1 | 3 | yes | — |
| 159 | #11765866 | — | 2 | 24 | no | — |
| 160 | #11765866 | C2×D4 | 1 | 8 | yes | — |
| 161 | #11765866 | C24 | 1 | 16 | yes | — |
| 162 | #11765865 | — | 2 | 12 | no | — |
| 163 | #11765865 | — | 2 | 48 | no | — |
| 164 | #11765865 | — | 2 | 48 | no | — |
| 165 | #11765865 | — | 2 | 24 | no | — |
| 166 | #11765865 | — | 2 | 48 | no | — |
| 167 | #11765865 | — | 2 | 8 | no | — |
| 168 | #11765865 | C2×D4 | 1 | 12 | yes | — |
| 169 | #11765865 | C2×D4 | 1 | 12 | yes | — |
| 170 | #11765865 | C24 | 1 | 12 | yes | — |
| 171 | #11765865 | C24 | 1 | 4 | yes | — |
| 172 | #11765865 | C24 | 1 | 24 | yes | — |
| 173 | #11765864 | — | 2 | 48 | no | — |
| 174 | #11765864 | — | 2 | 48 | no | — |
| 175 | #11765864 | — | 2 | 96 | no | — |
| 176 | #11765864 | — | 2 | 48 | no | — |
| 177 | #11765864 | — | 2 | 48 | no | — |
| 178 | #11765864 | — | 2 | 24 | no | — |
| 179 | #11765864 | C2×D4 | 1 | 24 | yes | — |
| 180 | #11765864 | C24 | 1 | 48 | yes | — |
| 181 | C2×Dic142 | — | 2 | 6 | no | — |
| 182 | C2×Dic142 | — | 2 | 12 | no | — |
| 183 | C2×Dic142 | — | 2 | 24 | no | — |
| 184 | C2×Dic142 | — | 2 | 48 | no | — |
| 185 | C2×Dic142 | — | 2 | 24 | no | — |
| 186 | C2×Dic142 | C2×D4 | 1 | 6 | yes | — |
| 187 | C2×Dic142 | C24 | 1 | 24 | yes | — |
| 188 | C2×Dic142 | C24 | 1 | 6 | yes | — |
| 189 | Q8×D71 | — | 2 | 16 | no | — |
| 190 | Q8×D71 | — | 2 | 48 | no | — |
| 191 | Q8×D71 | — | 2 | 24 | no | — |
| 192 | Q8×D71 | C2×D4 | 1 | 8 | yes | — |
| 193 | Q8×D71 | C24 | 1 | 48 | yes | — |
| 194 | C2×D284 | — | 2 | 8 | no | — |
| 195 | C2×D284 | C2×D4 | 1 | 6 | yes | — |
| 196 | C2×D284 | C24 | 1 | 2 | yes | — |
| 197 | C2×C22⋊D71 | — | 2 | 6 | no | — |
| 198 | C2×C22⋊D71 | — | 2 | 24 | no | — |
| 199 | C2×C22⋊D71 | — | 2 | 48 | no | — |
| 200 | C2×C22⋊D71 | C2×D4 | 1 | 12 | yes | — |
| 201 | D4×D71 | — | 2 | 48 | no | — |
| 202 | D4×D71 | — | 2 | 16 | no | — |
| 203 | D4×D71 | — | 2 | 24 | no | — |
| 204 | D4×D71 | C2×D4 | 1 | 24 | yes | — |
| 205 | D4×D71 | C24 | 1 | 16 | yes | — |
| 206 | C22×Dic71 | — | 2 | 6 | no | — |
| 207 | C22×Dic71 | — | 2 | 24 | no | — |
| 208 | C2×C4×D71 | — | 2 | 24 | no | — |
| 209 | C2×C4×D71 | — | 2 | 6 | no | — |
| 210 | C2×C4×D71 | — | 2 | 48 | no | — |
| 211 | C2×C4×D71 | C24 | 1 | 12 | yes | — |
| 212 | Dic284 | C24 | 1 | 24 | yes | — |
| 213 | Dic284 | C24 | 1 | 6 | yes | — |
| 214 | Dic284 | C24 | 1 | 6 | yes | — |
| 215 | #11765855 | C24 | 1 | 48 | yes | — |
| 216 | #11765854 | C24 | 1 | 24 | yes | — |
| 217 | #11765853 | C24 | 1 | 48 | yes | — |
| 218 | #11765852 | C24 | 1 | 16 | yes | — |
| 219 | D568 | C24 | 1 | 2 | yes | — |
| 220 | D568 | C24 | 1 | 2 | yes | — |
| 221 | #11765850 | C24 | 1 | 16 | yes | — |
| 222 | #11765849 | C24 | 1 | 12 | yes | — |
| 223 | #11765849 | C24 | 1 | 4 | yes | — |
| 224 | #11765848 | C24 | 1 | 24 | yes | — |
| 225 | #11765848 | C24 | 1 | 8 | yes | — |
| 226 | C2×C71⋊C8 | C24 | 1 | 12 | yes | — |
| 227 | C8×D71 | C24 | 1 | 8 | yes | — |
| 228 | C8×D71 | C24 | 1 | 24 | yes | — |
| 229 | #41×C71 | — | 2 | 8 | no | — |
| 230 | #41×C71 | — | 2 | 24 | no | — |
| 231 | #41×C71 | — | 2 | 12 | no | — |
| 232 | #41×C71 | — | 2 | 12 | no | — |
| 233 | #41×C71 | C2×D4 | 1 | 4 | yes | — |
| 234 | #41×C71 | C24 | 1 | 24 | yes | — |
| 235 | #41×C71 | C24 | 1 | 8 | yes | — |
| 236 | #41×C71 | C24 | 1 | 4 | yes | — |
| 237 | C2×Q8×C71 | — | 2 | 8 | no | — |
| 238 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C2×Q8×C71 | C24 | 1 | 12 | yes | — |
| 240 | C2×D4×C71 | — | 2 | 12 | no | — |
| 241 | C2×D4×C71 | — | 2 | 24 | no | — |
| 242 | C2×D4×C71 | C2×D4 | 1 | 3 | yes | — |
| 243 | C2×D4×C71 | C24 | 1 | 12 | yes | — |
| 244 | C22×C4×C71 | — | 2 | 12 | no | — |
| 245 | C22×C4×C71 | C24 | 1 | 3 | yes | — |
| 246 | Q16×C71 | C24 | 1 | 12 | yes | — |
| 247 | Q16×C71 | C24 | 1 | 4 | yes | — |
| 248 | SD16×C71 | C24 | 1 | 8 | yes | — |
| 249 | SD16×C71 | C24 | 1 | 24 | yes | — |
| 250 | D8×C71 | C24 | 1 | 4 | yes | — |
| 251 | D8×C71 | C24 | 1 | 12 | yes | — |
| 252 | M16×C71 | C24 | 1 | 12 | yes | — |
| 253 | C2×C8×C71 | C24 | 1 | 1 | yes | characteristic |
| 254 | C2×C8×C71 | C24 | 1 | 3 | yes | — |
| 255 | C2×C8×C71 | C24 | 1 | 6 | yes | — |
| 256 | C2×C8×C71 | C24 | 1 | 6 | yes | — |
| 257 | C23×C71 | — | 2 | 12 | no | — |
| 258 | C23×C71 | C22×D4 | 1 | 3 | yes | — |
| 259 | C22×D71 | — | 2 | 2 | no | — |
| 260 | C22×D71 | — | 2 | 16 | no | — |
| 261 | C22×D71 | C22×D4 | 1 | 12 | yes | — |
| 262 | Q8×C71 | — | 2 | 12 | no | — |
| 263 | Q8×C71 | C22×D4 | 1 | 4 | yes | — |
| 264 | Q8×C71 | C25 | 1 | 8 | yes | — |
| 265 | D4×C71 | — | 2 | 8 | no | — |
| 266 | D4×C71 | — | 2 | 24 | no | — |
| 267 | D4×C71 | — | 2 | 12 | no | — |
| 268 | D4×C71 | C22×D4 | 1 | 12 | yes | — |
| 269 | D4×C71 | C25 | 1 | 8 | yes | — |
| 270 | C2×C4×C71 | — | 2 | 12 | no | — |
| 271 | C2×C4×C71 | — | 2 | 8 | no | — |
| 272 | C2×C4×C71 | — | 2 | 24 | no | — |
| 273 | C2×C4×C71 | C22×D4 | 1 | 6 | yes | — |
| 274 | C2×C4×C71 | C22×D4 | 1 | 3 | yes | — |
| 275 | C2×C4×C71 | C25 | 1 | 1 | yes | characteristic |
| 276 | C2×C4×C71 | C25 | 1 | 6 | yes | — |
| 277 | C22⋊D71 | — | 2 | 24 | no | — |
| 278 | C22⋊D71 | — | 2 | 48 | no | — |
| 279 | C22⋊D71 | — | 2 | 16 | no | — |
| 280 | C22⋊D71 | C22×D4 | 1 | 8 | yes | — |
| 281 | C22⋊D71 | C22×D4 | 1 | 24 | yes | — |
| 282 | C2×Dic71 | — | 2 | 6 | no | — |
| 283 | C2×Dic71 | — | 2 | 24 | no | — |
| 284 | C2×Dic71 | — | 2 | 48 | no | — |
| 285 | C2×Dic71 | C22×D4 | 1 | 12 | yes | — |
| 286 | D284 | — | 2 | 16 | no | — |
| 287 | D284 | — | 2 | 2 | no | — |
| 288 | D284 | C22×D4 | 1 | 12 | yes | — |
| 289 | D284 | C22×D4 | 1 | 4 | yes | — |
| 290 | D284 | C25 | 1 | 4 | yes | — |
| 291 | C4×D71 | — | 2 | 48 | no | — |
| 292 | C4×D71 | — | 2 | 24 | no | — |
| 293 | C4×D71 | — | 2 | 16 | no | — |
| 294 | C4×D71 | C22×D4 | 1 | 24 | yes | — |
| 295 | C4×D71 | C25 | 1 | 8 | yes | — |
| 296 | Dic142 | — | 2 | 24 | no | — |
| 297 | Dic142 | — | 2 | 6 | no | — |
| 298 | Dic142 | — | 2 | 48 | no | — |
| 299 | Dic142 | C22×D4 | 1 | 12 | yes | — |
| 300 | Dic142 | C22×D4 | 1 | 4 | yes | — |
| 301 | Dic142 | C25 | 1 | 12 | yes | — |
| 302 | C8×C71 | C25 | 1 | 1 | yes | characteristic |
| 303 | C8×C71 | C25 | 1 | 1 | yes | characteristic |
| 304 | C8×C71 | C25 | 1 | 6 | yes | — |
| 305 | C71⋊C8 | C25 | 1 | 8 | yes | — |
| 306 | C22×C71 | — | 2 | 8 | no | — |
| 307 | C22×C71 | — | 4 | 3 | no | — |
| 308 | C22×C71 | — | 8 | 12 | no | — |
| 309 | C22×C71 | C23×D4 | 1 | 1 | yes | characteristic |
| 310 | C22×C71 | C23×D4 | 1 | 6 | yes | — |
| 311 | C2×D71 | — | 2 | 4 | no | — |
| 312 | C2×D71 | — | 4 | 12 | no | — |
| 313 | C2×D71 | — | 8 | 16 | no | — |
| 314 | C2×D71 | — | 8 | 2 | no | — |
| 315 | C2×D71 | C23×D4 | 1 | 8 | yes | — |
| 316 | C4×C71 | — | 2 | 8 | no | — |
| 317 | C4×C71 | C23×D4 | 1 | 1 | yes | characteristic |
| 318 | C4×C71 | C23×D4 | 1 | 6 | yes | — |
| 319 | C4×C71 | C26 | 1 | 1 | yes | characteristic |
| 320 | Dic71 | — | 2 | 12 | no | — |
| 321 | Dic71 | C23×D4 | 1 | 8 | yes | — |
| 322 | #63093 | — | 71 | 1 | no | maximal, Sylow |
| 323 | C2×C71 | — | 2 | 6 | no | — |
| 324 | C2×C71 | — | 2 | 1 | no | — |
| 325 | C2×C71 | — | 4 | 8 | no | — |
| 326 | C2×C71 | C24×D4 | 1 | 1 | yes | characteristic |
| 327 | D71 | — | 2 | 8 | no | — |
| 328 | D71 | — | 4 | 4 | no | — |
| 329 | 2−1+6 | — | 71 | 2 | no | — |
| 330 | #3586 | — | 71 | 2 | no | — |
| 331 | #3586 | — | 71 | 16 | no | — |
| 332 | #3586 | — | 71 | 12 | no | — |
| 333 | #3584 | — | 71 | 8 | no | — |
| 334 | #3584 | — | 71 | 6 | no | — |
| 335 | #3584 | D71 | 1 | 1 | yes | characteristic, complemented |
| 336 | C2×#578 | — | 71 | 8 | no | — |
| 337 | C2×#578 | — | 71 | 6 | no | — |
| 338 | C2×#578 | — | 71 | 1 | no | — |
| 339 | #3573 | — | 71 | 1 | no | — |
| 340 | C71 | #63093 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 341 | #585 | — | 71 | 1 | no | — |
| 342 | #585 | — | 71 | 16 | no | — |
| 343 | #585 | — | 71 | 12 | no | — |
| 344 | #585 | — | 142 | 8 | no | — |
| 345 | #585 | — | 142 | 12 | no | — |
| 346 | #585 | C2×D71 | 1 | 2 | yes | complemented |
| 347 | C2×2−1+4 | — | 71 | 16 | no | — |
| 348 | C2×2−1+4 | — | 71 | 12 | no | — |
| 349 | C2×2−1+4 | — | 71 | 2 | no | — |
| 350 | C2×2−1+4 | — | 142 | 8 | no | — |
| 351 | C2×2−1+4 | — | 142 | 4 | no | — |
| 352 | #578 | — | 71 | 16 | no | — |
| 353 | #578 | — | 71 | 48 | no | — |
| 354 | #578 | — | 71 | 24 | no | — |
| 355 | #578 | — | 71 | 12 | no | — |
| 356 | #578 | — | 71 | 24 | no | — |
| 357 | #578 | — | 71 | 24 | no | — |
| 358 | #578 | — | 71 | 12 | no | — |
| 359 | #578 | — | 71 | 8 | no | — |
| 360 | #578 | — | 71 | 8 | no | — |
| 361 | #578 | C2×D71 | 1 | 4 | yes | complemented |
| 362 | #577 | — | 71 | 16 | no | — |
| 363 | #577 | — | 71 | 48 | no | — |
| 364 | #577 | — | 71 | 24 | no | — |
| 365 | #577 | — | 71 | 24 | no | — |
| 366 | #577 | C2×D71 | 1 | 8 | yes | complemented |
| 367 | #576 | — | 71 | 4 | no | — |
| 368 | #576 | — | 71 | 12 | no | — |
| 369 | #576 | C2×D71 | 1 | 4 | yes | complemented |
| 370 | #575 | — | 71 | 12 | no | — |
| 371 | #575 | — | 71 | 48 | no | — |
| 372 | #575 | — | 71 | 24 | no | — |
| 373 | #575 | C2×D71 | 1 | 6 | yes | complemented |
| 374 | C2×#137 | — | 71 | 12 | no | — |
| 375 | C2×#137 | — | 71 | 48 | no | — |
| 376 | C2×#137 | — | 71 | 24 | no | — |
| 377 | C2×#137 | — | 71 | 6 | no | — |
| 378 | C2×#135 | — | 71 | 24 | no | — |
| 379 | C2×#135 | — | 71 | 12 | no | — |
| 380 | C2×#135 | — | 71 | 3 | no | — |
| 381 | C2×#135 | C2×D71 | 1 | 6 | yes | complemented |
| 382 | C22×Q16 | — | 71 | 12 | no | — |
| 383 | C22×Q16 | — | 71 | 3 | no | — |
| 384 | #568 | — | 71 | 1 | no | — |
| 385 | #568 | — | 71 | 8 | no | — |
| 386 | #568 | — | 71 | 6 | no | — |
| 387 | C2×#131 | — | 71 | 8 | no | — |
| 388 | C2×#131 | — | 71 | 6 | no | — |
| 389 | C2×#131 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 390 | 2−1+4 | — | 2 | 2 | no | — |
| 391 | 2−1+4 | — | 71 | 4 | no | — |
| 392 | 2−1+4 | — | 71 | 2 | no | — |
| 393 | 2−1+4 | — | 71 | 48 | no | — |
| 394 | 2−1+4 | — | 71 | 24 | no | — |
| 395 | 2−1+4 | — | 71 | 16 | no | — |
| 396 | 2−1+4 | — | 71 | 24 | no | — |
| 397 | 2−1+4 | — | 142 | 16 | no | — |
| 398 | 2−1+4 | — | 142 | 16 | no | — |
| 399 | 2−1+4 | — | 142 | 12 | no | — |
| 400 | 2−1+4 | — | 142 | 48 | no | — |
| 401 | 2−1+4 | — | 142 | 24 | no | — |
| 402 | 2−1+4 | — | 142 | 24 | no | — |
| 403 | 2−1+4 | — | 142 | 8 | no | — |
| 404 | 2−1+4 | C22×D71 | 1 | 8 | yes | — |
| 405 | H(5,𝔽2) | — | 2 | 6 | no | — |
| 406 | H(5,𝔽2) | — | 71 | 4 | no | — |
| 407 | H(5,𝔽2) | — | 71 | 6 | no | — |
| 408 | H(5,𝔽2) | — | 71 | 8 | no | — |
| 409 | H(5,𝔽2) | — | 71 | 24 | no | — |
| 410 | H(5,𝔽2) | — | 142 | 24 | no | — |
| 411 | H(5,𝔽2) | — | 142 | 48 | no | — |
| 412 | H(5,𝔽2) | — | 142 | 12 | no | — |
| 413 | H(5,𝔽2) | C22×D71 | 1 | 8 | yes | — |
| 414 | C2×#41 | — | 2 | 8 | no | — |
| 415 | C2×#41 | — | 71 | 8 | no | — |
| 416 | C2×#41 | — | 71 | 6 | no | — |
| 417 | C2×#41 | — | 71 | 48 | no | — |
| 418 | C2×#41 | — | 71 | 24 | no | — |
| 419 | C2×#41 | — | 71 | 6 | no | — |
| 420 | C2×#41 | — | 142 | 12 | no | — |
| 421 | C2×#41 | — | 142 | 24 | no | — |
| 422 | C2×#41 | — | 142 | 24 | no | — |
| 423 | C2×#41 | — | 142 | 48 | no | — |
| 424 | C2×#41 | — | 142 | 48 | no | — |
| 425 | C2×#41 | — | 142 | 16 | no | — |
| 426 | C2×#41 | — | 142 | 24 | no | — |
| 427 | C2×#41 | — | 142 | 6 | no | — |
| 428 | C2×#41 | C22×D71 | 1 | 12 | yes | — |
| 429 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 430 | C22×Q8 | — | 71 | 24 | no | — |
| 431 | C22×Q8 | — | 71 | 6 | no | — |
| 432 | C22×Q8 | — | 142 | 12 | no | — |
| 433 | C22×Q8 | — | 142 | 16 | no | — |
| 434 | C22×Q8 | — | 142 | 2 | no | — |
| 435 | #137 | — | 71 | 48 | no | — |
| 436 | #137 | — | 71 | 24 | no | — |
| 437 | #137 | — | 71 | 24 | no | — |
| 438 | #137 | — | 71 | 48 | no | — |
| 439 | #137 | — | 71 | 96 | no | — |
| 440 | #137 | — | 71 | 48 | no | — |
| 441 | #137 | — | 71 | 48 | no | — |
| 442 | #137 | C22×D71 | 1 | 24 | yes | — |
| 443 | AGL(1,ℤ/8) | — | 71 | 8 | no | — |
| 444 | AGL(1,ℤ/8) | — | 71 | 24 | no | — |
| 445 | AGL(1,ℤ/8) | — | 71 | 16 | no | — |
| 446 | AGL(1,ℤ/8) | — | 71 | 48 | no | — |
| 447 | AGL(1,ℤ/8) | C22×D71 | 1 | 24 | yes | — |
| 448 | #135 | — | 71 | 48 | no | — |
| 449 | #135 | — | 71 | 8 | no | — |
| 450 | #135 | — | 71 | 48 | no | — |
| 451 | #135 | — | 71 | 24 | no | — |
| 452 | #135 | — | 71 | 48 | no | — |
| 453 | #135 | — | 71 | 12 | no | — |
| 454 | #135 | — | 71 | 12 | no | — |
| 455 | #135 | C22×D71 | 1 | 12 | yes | — |
| 456 | #135 | C22×D71 | 1 | 4 | yes | — |
| 457 | #135 | C22×D71 | 1 | 12 | yes | — |
| 458 | #135 | C22×D71 | 1 | 12 | yes | — |
| 459 | C2×Q16 | — | 71 | 24 | no | — |
| 460 | C2×Q16 | — | 71 | 24 | no | — |
| 461 | C2×Q16 | — | 71 | 48 | no | — |
| 462 | C2×Q16 | — | 71 | 12 | no | — |
| 463 | C2×Q16 | — | 71 | 3 | no | — |
| 464 | C2×Q16 | — | 71 | 12 | no | — |
| 465 | C2×Q16 | — | 71 | 6 | no | — |
| 466 | C2×Q16 | C22×D71 | 1 | 6 | yes | — |
| 467 | C2×SD16 | — | 71 | 24 | no | — |
| 468 | C2×SD16 | — | 71 | 48 | no | — |
| 469 | C2×SD16 | — | 71 | 6 | no | — |
| 470 | C2×SD16 | C22×D71 | 1 | 12 | yes | — |
| 471 | C2×D8 | — | 71 | 8 | no | — |
| 472 | C2×D8 | — | 71 | 1 | no | — |
| 473 | C2×D8 | C22×D71 | 1 | 6 | yes | — |
| 474 | #131 | — | 71 | 8 | no | — |
| 475 | #131 | — | 71 | 24 | no | — |
| 476 | #131 | — | 71 | 12 | no | — |
| 477 | #131 | — | 71 | 4 | no | — |
| 478 | #131 | — | 71 | 12 | no | — |
| 479 | #131 | — | 71 | 12 | no | — |
| 480 | #131 | C22×D71 | 1 | 4 | yes | — |
| 481 | #131 | C22×D71 | 1 | 4 | yes | — |
| 482 | C2×M16 | — | 71 | 6 | no | — |
| 483 | C2×M16 | — | 71 | 24 | no | — |
| 484 | C2×M16 | — | 71 | 12 | no | — |
| 485 | C2×M16 | C22×D71 | 1 | 3 | yes | — |
| 486 | C22×C8 | — | 71 | 12 | no | — |
| 487 | C22×C8 | C22×D71 | 1 | 3 | yes | — |
| 488 | #41 | — | 2 | 8 | no | — |
| 489 | #41 | — | 2 | 24 | no | — |
| 490 | #41 | — | 2 | 12 | no | — |
| 491 | #41 | — | 2 | 12 | no | — |
| 492 | #41 | — | 71 | 8 | no | — |
| 493 | #41 | — | 71 | 24 | no | — |
| 494 | #41 | — | 71 | 12 | no | — |
| 495 | #41 | — | 71 | 12 | no | — |
| 496 | #41 | — | 71 | 12 | no | — |
| 497 | #41 | — | 71 | 4 | no | — |
| 498 | #41 | — | 71 | 16 | no | — |
| 499 | #41 | — | 71 | 48 | no | — |
| 500 | #41 | — | 71 | 24 | no | — |
| 501 | #41 | — | 142 | 48 | no | — |
| 502 | #41 | — | 142 | 48 | no | — |
| 503 | #41 | — | 142 | 24 | no | — |
| 504 | #41 | — | 142 | 48 | no | — |
| 505 | #41 | — | 142 | 8 | no | — |
| 506 | #41 | — | 142 | 48 | no | — |
| 507 | #41 | — | 142 | 48 | no | — |
| 508 | #41 | — | 142 | 48 | no | — |
| 509 | #41 | — | 142 | 96 | no | — |
| 510 | #41 | — | 142 | 24 | no | — |
| 511 | #41 | — | 142 | 24 | no | — |
| 512 | #41 | — | 142 | 48 | no | — |
| 513 | #41 | — | 142 | 12 | no | — |
| 514 | #41 | D4×D71 | 1 | 4 | yes | — |
| 515 | #41 | C23×D71 | 1 | 24 | yes | — |
| 516 | #41 | C23×D71 | 1 | 8 | yes | — |
| 517 | #41 | C23×D71 | 1 | 4 | yes | — |
| 518 | C2×Q8 | — | 2 | 8 | no | — |
| 519 | C2×Q8 | — | 71 | 8 | no | — |
| 520 | C2×Q8 | — | 71 | 6 | no | — |
| 521 | C2×Q8 | — | 71 | 48 | no | — |
| 522 | C2×Q8 | — | 71 | 24 | no | — |
| 523 | C2×Q8 | — | 71 | 6 | no | — |
| 524 | C2×Q8 | — | 142 | 24 | no | — |
| 525 | C2×Q8 | — | 142 | 24 | no | — |
| 526 | C2×Q8 | — | 142 | 48 | no | — |
| 527 | C2×Q8 | — | 142 | 48 | no | — |
| 528 | C2×Q8 | — | 142 | 24 | no | — |
| 529 | C2×Q8 | — | 142 | 16 | no | — |
| 530 | C2×Q8 | — | 142 | 12 | no | — |
| 531 | C2×Q8 | — | 142 | 6 | no | — |
| 532 | C2×Q8 | D4×D71 | 1 | 1 | yes | characteristic |
| 533 | C2×Q8 | C23×D71 | 1 | 12 | yes | — |
| 534 | C2×D4 | — | 2 | 12 | no | — |
| 535 | C2×D4 | — | 2 | 24 | no | — |
| 536 | C2×D4 | — | 71 | 12 | no | — |
| 537 | C2×D4 | — | 71 | 24 | no | — |
| 538 | C2×D4 | — | 71 | 16 | no | — |
| 539 | C2×D4 | — | 71 | 6 | no | — |
| 540 | C2×D4 | — | 71 | 2 | no | — |
| 541 | C2×D4 | — | 142 | 8 | no | — |
| 542 | C2×D4 | — | 142 | 16 | no | — |
| 543 | C2×D4 | — | 142 | 24 | no | — |
| 544 | C2×D4 | — | 142 | 48 | no | — |
| 545 | C2×D4 | — | 142 | 48 | no | — |
| 546 | C2×D4 | — | 142 | 24 | no | — |
| 547 | C2×D4 | — | 142 | 6 | no | — |
| 548 | C2×D4 | D4×D71 | 1 | 3 | yes | — |
| 549 | C2×D4 | C23×D71 | 1 | 12 | yes | — |
| 550 | C22×C4 | — | 2 | 12 | no | — |
| 551 | C22×C4 | — | 71 | 12 | no | — |
| 552 | C22×C4 | — | 142 | 48 | no | — |
| 553 | C22×C4 | — | 142 | 24 | no | — |
| 554 | C22×C4 | — | 142 | 24 | no | — |
| 555 | C22×C4 | — | 142 | 6 | no | — |
| 556 | C22×C4 | — | 142 | 6 | no | — |
| 557 | C22×C4 | C23×D71 | 1 | 3 | yes | — |
| 558 | Q16 | — | 71 | 48 | no | — |
| 559 | Q16 | — | 71 | 6 | no | — |
| 560 | Q16 | — | 71 | 24 | no | — |
| 561 | Q16 | — | 71 | 6 | no | — |
| 562 | Q16 | C23×D71 | 1 | 4 | yes | — |
| 563 | Q16 | C23×D71 | 1 | 12 | yes | — |
| 564 | SD16 | — | 71 | 16 | no | — |
| 565 | SD16 | — | 71 | 48 | no | — |
| 566 | SD16 | — | 71 | 24 | no | — |
| 567 | SD16 | C23×D71 | 1 | 24 | yes | — |
| 568 | SD16 | C23×D71 | 1 | 8 | yes | — |
| 569 | D8 | — | 71 | 16 | no | — |
| 570 | D8 | — | 71 | 2 | no | — |
| 571 | D8 | — | 71 | 2 | no | — |
| 572 | D8 | C23×D71 | 1 | 4 | yes | — |
| 573 | D8 | C23×D71 | 1 | 12 | yes | — |
| 574 | M16 | — | 71 | 12 | no | — |
| 575 | M16 | — | 71 | 4 | no | — |
| 576 | M16 | — | 71 | 24 | no | — |
| 577 | M16 | — | 71 | 8 | no | — |
| 578 | M16 | C23×D71 | 1 | 12 | yes | — |
| 579 | C2×C8 | — | 71 | 12 | no | — |
| 580 | C2×C8 | — | 71 | 8 | no | — |
| 581 | C2×C8 | — | 71 | 24 | no | — |
| 582 | C2×C8 | C23×D71 | 1 | 6 | yes | — |
| 583 | C2×C8 | C23×D71 | 1 | 1 | yes | characteristic |
| 584 | C2×C8 | C23×D71 | 1 | 6 | yes | — |
| 585 | C2×C8 | C23×D71 | 1 | 3 | yes | — |
| 586 | C23 | — | 2 | 12 | no | — |
| 587 | C23 | — | 71 | 12 | no | — |
| 588 | C23 | — | 142 | 16 | no | — |
| 589 | C23 | — | 142 | 2 | no | — |
| 590 | C23 | C2×D4×D71 | 1 | 3 | yes | — |
| 591 | Q8 | — | 2 | 12 | no | — |
| 592 | Q8 | — | 71 | 4 | no | — |
| 593 | Q8 | — | 71 | 12 | no | — |
| 594 | Q8 | — | 71 | 12 | no | — |
| 595 | Q8 | — | 142 | 48 | no | — |
| 596 | Q8 | — | 142 | 6 | no | — |
| 597 | Q8 | — | 142 | 24 | no | — |
| 598 | Q8 | C2×D4×D71 | 1 | 4 | yes | — |
| 599 | Q8 | C24×D71 | 1 | 8 | yes | — |
| 600 | D4 | — | 2 | 24 | no | — |
| 601 | D4 | — | 2 | 8 | no | — |
| 602 | D4 | — | 2 | 12 | no | — |
| 603 | D4 | — | 71 | 24 | no | — |
| 604 | D4 | — | 71 | 8 | no | — |
| 605 | D4 | — | 71 | 4 | no | — |
| 606 | D4 | — | 71 | 12 | no | — |
| 607 | D4 | — | 71 | 4 | no | — |
| 608 | D4 | — | 142 | 16 | no | — |
| 609 | D4 | — | 142 | 16 | no | — |
| 610 | D4 | — | 142 | 48 | no | — |
| 611 | D4 | — | 142 | 24 | no | — |
| 612 | D4 | — | 142 | 2 | no | — |
| 613 | D4 | C2×D4×D71 | 1 | 12 | yes | — |
| 614 | D4 | C24×D71 | 1 | 8 | yes | — |
| 615 | C2×C4 | — | 2 | 12 | no | — |
| 616 | C2×C4 | — | 2 | 8 | no | — |
| 617 | C2×C4 | — | 2 | 24 | no | — |
| 618 | C2×C4 | — | 71 | 12 | no | — |
| 619 | C2×C4 | — | 71 | 24 | no | — |
| 620 | C2×C4 | — | 71 | 8 | no | — |
| 621 | C2×C4 | — | 142 | 16 | no | — |
| 622 | C2×C4 | — | 142 | 48 | no | — |
| 623 | C2×C4 | — | 142 | 48 | no | — |
| 624 | C2×C4 | — | 142 | 24 | no | — |
| 625 | C2×C4 | — | 142 | 6 | no | — |
| 626 | C2×C4 | — | 142 | 24 | no | — |
| 627 | C2×C4 | C2×D4×D71 | 1 | 6 | yes | — |
| 628 | C2×C4 | C2×D4×D71 | 1 | 3 | yes | — |
| 629 | C2×C4 | C24×D71 | 1 | 6 | yes | — |
| 630 | C2×C4 | C24×D71 | 1 | 1 | yes | characteristic |
| 631 | C8 | — | 71 | 8 | no | — |
| 632 | C8 | C24×D71 | 1 | 1 | yes | characteristic |
| 633 | C8 | C24×D71 | 1 | 6 | yes | — |
| 634 | C8 | C24×D71 | 1 | 1 | yes | characteristic |
| 635 | C22 | — | 2 | 8 | no | — |
| 636 | C22 | — | 4 | 3 | no | — |
| 637 | C22 | — | 8 | 12 | no | — |
| 638 | C22 | — | 284 | 12 | no | — |
| 639 | C22 | — | 568 | 2 | no | — |
| 640 | C22 | — | 568 | 16 | no | — |
| 641 | C22 | — | 71 | 8 | no | — |
| 642 | C22 | — | 142 | 4 | no | — |
| 643 | C22 | C22×D4×D71 | 1 | 6 | yes | — |
| 644 | C22 | C22×D4×D71 | 1 | 1 | yes | characteristic |
| 645 | C4 | — | 2 | 8 | no | — |
| 646 | C4 | — | 71 | 8 | no | — |
| 647 | C4 | — | 142 | 12 | no | — |
| 648 | C4 | C22×D4×D71 | 1 | 1 | yes | characteristic |
| 649 | C4 | C22×D4×D71 | 1 | 6 | yes | — |
| 650 | C4 | C25×D71 | 1 | 1 | yes | characteristic |
| 651 | C2 | — | 2 | 1 | no | — |
| 652 | C2 | — | 2 | 6 | no | — |
| 653 | C2 | — | 4 | 8 | no | — |
| 654 | C2 | — | 284 | 4 | no | — |
| 655 | C2 | — | 142 | 8 | no | — |
| 656 | C2 | C23×D4×D71 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta