| 1 | #22598059 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #22597242 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22597239 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#17986118 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22596769 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22589237 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22589127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22589009 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22588844 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22588840 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22588393 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22588223 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22588143 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22588139 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#1932 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #17986799 | C22 | 1 | 1 | yes | characteristic |
| 17 | #17986797 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14556148 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#14556136 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#14556136 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#14556136 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#14556135 | C22 | 1 | 1 | yes | characteristic |
| 23 | C4×#11765865 | C22 | 1 | 1 | yes | characteristic |
| 24 | #17986273 | C4 | 1 | 2 | yes | complemented |
| 25 | #17986268 | C4 | 1 | 2 | yes | complemented |
| 26 | #17986265 | C4 | 1 | 2 | yes | complemented |
| 27 | #17986261 | C4 | 1 | 2 | yes | complemented |
| 28 | #17986120 | — | 2 | 2 | no | — |
| 29 | #17986118 | — | 2 | 2 | no | — |
| 30 | #17986118 | — | 2 | 1 | no | — |
| 31 | #17986118 | — | 2 | 1 | no | — |
| 32 | #17986118 | — | 2 | 1 | no | — |
| 33 | #17986118 | — | 2 | 1 | no | — |
| 34 | #17986115 | — | 2 | 2 | no | — |
| 35 | #17986113 | — | 2 | 2 | no | — |
| 36 | #17986047 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#14556063 | C22 | 1 | 1 | yes | characteristic |
| 38 | C2×#14556063 | C22 | 1 | 1 | yes | characteristic |
| 39 | #17986035 | C22 | 1 | 1 | yes | characteristic |
| 40 | #17986017 | C22 | 1 | 1 | yes | characteristic |
| 41 | #17986015 | C22 | 1 | 1 | yes | characteristic |
| 42 | #17986015 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#14556056 | C22 | 1 | 1 | yes | characteristic |
| 44 | #17985981 | C22 | 1 | 1 | yes | characteristic |
| 45 | #17985973 | C22 | 1 | 1 | yes | characteristic |
| 46 | #17985972 | C22 | 1 | 1 | yes | characteristic |
| 47 | #17985957 | C22 | 1 | 1 | yes | characteristic |
| 48 | #17985957 | C22 | 1 | 1 | yes | characteristic |
| 49 | #17985957 | C22 | 1 | 1 | yes | characteristic |
| 50 | #17985955 | C22 | 1 | 1 | yes | characteristic |
| 51 | #17985953 | — | 2 | 1 | no | — |
| 52 | #17985953 | — | 2 | 1 | no | — |
| 53 | #17985951 | — | 2 | 1 | no | — |
| 54 | C2×#14556039 | C22 | 1 | 1 | yes | characteristic |
| 55 | #97×D71 | — | 2 | 1 | no | — |
| 56 | #17985771 | C22 | 1 | 1 | yes | characteristic |
| 57 | #17985771 | C22 | 1 | 1 | yes | characteristic |
| 58 | #17985770 | C22 | 1 | 1 | yes | characteristic |
| 59 | #17985759 | C22 | 1 | 1 | yes | characteristic |
| 60 | #430×C71 | C22 | 1 | 1 | yes | characteristic |
| 61 | #421×C71 | C22 | 1 | 1 | yes | characteristic |
| 62 | C2×#104×C71 | C22 | 1 | 1 | yes | characteristic |
| 63 | #413×C71 | C22 | 1 | 1 | yes | characteristic |
| 64 | C4×M16×C71 | C22 | 1 | 1 | yes | characteristic |
| 65 | #344×C71 | C22 | 1 | 1 | yes | characteristic |
| 66 | #339×C71 | C22 | 1 | 1 | yes | characteristic |
| 67 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 69 | #14556161 | — | 2 | 1 | no | — |
| 70 | #14556161 | C2×C4 | 1 | 2 | yes | — |
| 71 | #14556159 | C2×C4 | 1 | 2 | yes | — |
| 72 | #14556158 | — | 2 | 1 | no | — |
| 73 | #14556156 | — | 2 | 1 | no | — |
| 74 | #14556156 | C2×C4 | 1 | 2 | yes | — |
| 75 | #14556154 | C2×C4 | 1 | 2 | yes | — |
| 76 | #14556153 | — | 2 | 1 | no | — |
| 77 | #14556150 | — | 2 | 2 | no | — |
| 78 | #14556148 | — | 2 | 2 | no | — |
| 79 | #14556148 | — | 2 | 1 | no | — |
| 80 | #14556148 | — | 2 | 1 | no | — |
| 81 | #14556148 | — | 2 | 1 | no | — |
| 82 | #14556148 | — | 2 | 1 | no | — |
| 83 | C2×#11765855 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 84 | C2×#11765853 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 85 | C2×#11765852 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 86 | C2×#11765850 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 87 | #14556136 | — | 2 | 1 | no | — |
| 88 | #14556136 | — | 2 | 1 | no | — |
| 89 | #14556136 | — | 2 | 1 | no | — |
| 90 | #14556136 | — | 2 | 1 | no | — |
| 91 | #14556136 | — | 2 | 1 | no | — |
| 92 | #14556136 | — | 2 | 1 | no | — |
| 93 | #14556136 | — | 2 | 1 | no | — |
| 94 | #14556136 | — | 2 | 1 | no | — |
| 95 | #14556136 | C2×C4 | 1 | 2 | yes | — |
| 96 | #14556136 | C2×C4 | 1 | 2 | yes | — |
| 97 | #14556136 | D4 | 1 | 2 | yes | — |
| 98 | #14556136 | D4 | 1 | 2 | yes | — |
| 99 | #14556135 | — | 2 | 1 | no | — |
| 100 | #14556135 | — | 2 | 1 | no | — |
| 101 | #14556135 | — | 2 | 1 | no | — |
| 102 | #14556135 | — | 2 | 1 | no | — |
| 103 | C2×#11765849 | — | 2 | 1 | no | — |
| 104 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×#11765848 | — | 2 | 1 | no | — |
| 107 | C2×#11765848 | — | 2 | 1 | no | — |
| 108 | C2×#11765848 | — | 2 | 1 | no | — |
| 109 | C22×C71⋊C8 | — | 2 | 1 | no | — |
| 110 | C22×C71⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 111 | C22×C71⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×C8×D71 | — | 2 | 1 | no | — |
| 113 | C2×C8×D71 | — | 2 | 1 | no | — |
| 114 | C2×C8×D71 | — | 2 | 1 | no | — |
| 115 | C4×Dic142 | — | 2 | 1 | no | — |
| 116 | C4×D284 | — | 2 | 1 | no | — |
| 117 | C4×C22⋊D71 | — | 2 | 2 | no | — |
| 118 | #14556087 | C23 | 1 | 1 | yes | characteristic |
| 119 | #14556087 | C23 | 1 | 1 | yes | characteristic |
| 120 | #14556085 | — | 2 | 1 | no | — |
| 121 | C42×D71 | — | 2 | 1 | no | — |
| 122 | #14556063 | — | 2 | 1 | no | — |
| 123 | #14556063 | — | 2 | 1 | no | — |
| 124 | #14556063 | — | 2 | 2 | no | — |
| 125 | #14556063 | C2×C4 | 1 | 2 | yes | complemented |
| 126 | #14556063 | C2×C4 | 1 | 2 | yes | complemented |
| 127 | #14556061 | — | 2 | 1 | no | — |
| 128 | #14556059 | — | 2 | 1 | no | — |
| 129 | #14556056 | — | 2 | 2 | no | — |
| 130 | #14556056 | — | 2 | 1 | no | — |
| 131 | #14556056 | — | 2 | 1 | no | — |
| 132 | #14556054 | — | 2 | 2 | no | — |
| 133 | #14556054 | — | 2 | 2 | no | — |
| 134 | #14556046 | C2×C4 | 1 | 2 | yes | complemented |
| 135 | #14556044 | C2×C4 | 1 | 2 | yes | complemented |
| 136 | #14556043 | — | 2 | 2 | no | — |
| 137 | #14556042 | — | 2 | 2 | no | — |
| 138 | #14556039 | — | 2 | 1 | no | — |
| 139 | #14556039 | D4 | 1 | 1 | yes | characteristic |
| 140 | #14556039 | D4 | 1 | 1 | yes | characteristic |
| 141 | #14556039 | D4 | 1 | 1 | yes | characteristic |
| 142 | #14556039 | D4 | 1 | 1 | yes | characteristic |
| 143 | #14556038 | — | 2 | 1 | no | — |
| 144 | #14556038 | — | 2 | 1 | no | — |
| 145 | #14556038 | — | 2 | 1 | no | — |
| 146 | C4×C71⋊C8 | — | 2 | 1 | no | — |
| 147 | C8×Dic71 | — | 2 | 1 | no | — |
| 148 | C8×Dic71 | — | 2 | 1 | no | — |
| 149 | C8×Dic71 | — | 2 | 1 | no | — |
| 150 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 151 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 152 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 153 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 154 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 155 | #117×C71 | C23 | 1 | 1 | yes | characteristic |
| 156 | C2×C42×C71 | C23 | 1 | 1 | yes | characteristic |
| 157 | #108×C71 | — | 2 | 2 | no | — |
| 158 | #104×C71 | — | 2 | 2 | no | — |
| 159 | #104×C71 | — | 2 | 1 | no | — |
| 160 | #104×C71 | — | 2 | 1 | no | — |
| 161 | #101×C71 | C2×C4 | 1 | 2 | yes | complemented |
| 162 | #100×C71 | C2×C4 | 1 | 2 | yes | complemented |
| 163 | #97×C71 | — | 2 | 1 | no | — |
| 164 | C4×C8×C71 | — | 2 | 1 | no | — |
| 165 | #11765865 | — | 2 | 1 | no | — |
| 166 | #11765865 | — | 2 | 1 | no | — |
| 167 | #11765865 | — | 2 | 1 | no | — |
| 168 | #11765865 | — | 2 | 1 | no | — |
| 169 | #11765865 | — | 2 | 1 | no | — |
| 170 | #11765865 | — | 2 | 1 | no | — |
| 171 | #11765865 | C22×C4 | 1 | 2 | yes | — |
| 172 | #11765865 | C2×D4 | 1 | 2 | yes | — |
| 173 | C2×Dic142 | C22×C4 | 1 | 1 | yes | characteristic |
| 174 | C2×Dic142 | #41 | 1 | 1 | yes | characteristic |
| 175 | C2×D284 | C22×C4 | 1 | 1 | yes | characteristic |
| 176 | C2×D284 | #41 | 1 | 1 | yes | characteristic |
| 177 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 178 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 179 | C2×C4×D71 | — | 2 | 1 | no | — |
| 180 | C2×C4×D71 | — | 2 | 1 | no | — |
| 181 | C2×C4×D71 | — | 2 | 2 | no | — |
| 182 | Dic284 | — | 2 | 2 | no | — |
| 183 | #11765855 | — | 2 | 2 | no | — |
| 184 | #11765855 | — | 2 | 1 | no | — |
| 185 | #11765855 | — | 2 | 1 | no | — |
| 186 | #11765854 | — | 2 | 2 | no | — |
| 187 | #11765854 | — | 2 | 2 | no | — |
| 188 | #11765853 | — | 2 | 2 | no | — |
| 189 | #11765853 | — | 2 | 1 | no | — |
| 190 | #11765853 | — | 2 | 1 | no | — |
| 191 | #11765852 | — | 2 | 2 | no | — |
| 192 | #11765852 | — | 2 | 1 | no | — |
| 193 | #11765852 | — | 2 | 1 | no | — |
| 194 | D568 | — | 2 | 2 | no | — |
| 195 | #11765850 | — | 2 | 2 | no | — |
| 196 | #11765850 | — | 2 | 1 | no | — |
| 197 | #11765850 | — | 2 | 1 | no | — |
| 198 | #11765849 | — | 2 | 1 | no | — |
| 199 | #11765849 | — | 2 | 1 | no | — |
| 200 | #11765849 | — | 2 | 1 | no | — |
| 201 | #11765849 | — | 4 | 1 | no | — |
| 202 | #11765849 | — | 4 | 1 | no | — |
| 203 | #11765849 | C22×C4 | 1 | 2 | yes | — |
| 204 | #11765848 | — | 2 | 2 | no | — |
| 205 | #11765848 | — | 2 | 2 | no | — |
| 206 | #11765848 | — | 2 | 2 | no | — |
| 207 | #11765848 | — | 2 | 2 | no | — |
| 208 | #11765848 | — | 4 | 1 | no | — |
| 209 | #11765848 | — | 4 | 1 | no | — |
| 210 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 211 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 212 | C2×C71⋊C8 | — | 4 | 1 | no | — |
| 213 | C2×C71⋊C8 | — | 4 | 1 | no | — |
| 214 | C2×C71⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 215 | C2×C71⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 216 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 220 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 221 | C2×C71⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C2×C71⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 223 | C2×C71⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 224 | C2×C71⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 225 | C2×C71⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 226 | C8×D71 | — | 2 | 2 | no | — |
| 227 | C8×D71 | — | 2 | 2 | no | — |
| 228 | C8×D71 | — | 2 | 2 | no | — |
| 229 | C8×D71 | — | 2 | 2 | no | — |
| 230 | C8×D71 | — | 4 | 1 | no | — |
| 231 | C8×D71 | — | 4 | 1 | no | — |
| 232 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 233 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 234 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 235 | C22⋊Dic71 | — | 2 | 1 | no | — |
| 236 | C22⋊Dic71 | #41 | 1 | 2 | yes | — |
| 237 | (C2×D71)⋊C4 | — | 2 | 2 | no | — |
| 238 | C4×Dic71 | — | 2 | 2 | no | — |
| 239 | C4×Dic71 | — | 2 | 1 | no | — |
| 240 | C4×Dic71 | — | 2 | 1 | no | — |
| 241 | #41×C71 | — | 2 | 1 | no | — |
| 242 | #41×C71 | — | 2 | 1 | no | — |
| 243 | #41×C71 | — | 2 | 1 | no | — |
| 244 | #41×C71 | — | 2 | 1 | no | — |
| 245 | C2×Q8×C71 | C22×C4 | 1 | 1 | yes | characteristic |
| 246 | C2×D4×C71 | — | 2 | 1 | no | — |
| 247 | C2×D4×C71 | C22×C4 | 1 | 1 | yes | characteristic |
| 248 | C22×C4×C71 | — | 2 | 1 | no | — |
| 249 | C22×C4×C71 | — | 2 | 1 | no | — |
| 250 | C22×C4×C71 | C24 | 1 | 1 | yes | characteristic |
| 251 | M16×C71 | — | 2 | 1 | no | — |
| 252 | M16×C71 | — | 2 | 1 | no | — |
| 253 | M16×C71 | — | 2 | 1 | no | — |
| 254 | M16×C71 | — | 2 | 1 | no | — |
| 255 | M16×C71 | — | 2 | 1 | no | — |
| 256 | M16×C71 | C22×C4 | 1 | 2 | yes | — |
| 257 | M16×C71 | C22×C4 | 1 | 2 | yes | — |
| 258 | M16×C71 | C2×D4 | 1 | 2 | yes | — |
| 259 | C2×C8×C71 | — | 2 | 1 | no | — |
| 260 | C2×C8×C71 | — | 2 | 1 | no | — |
| 261 | C2×C8×C71 | — | 2 | 1 | no | — |
| 262 | C2×C8×C71 | — | 2 | 1 | no | — |
| 263 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 264 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 265 | C42×C71 | — | 2 | 1 | no | — |
| 266 | C42×C71 | — | 2 | 1 | no | — |
| 267 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 268 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 269 | C23×C71 | — | 2 | 1 | no | — |
| 270 | C23×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 271 | C22×D71 | — | 2 | 1 | no | — |
| 272 | C22×D71 | — | 2 | 1 | no | — |
| 273 | Q8×C71 | — | 2 | 1 | no | — |
| 274 | Q8×C71 | — | 2 | 1 | no | — |
| 275 | D4×C71 | — | 2 | 1 | no | — |
| 276 | D4×C71 | — | 2 | 1 | no | — |
| 277 | D4×C71 | — | 4 | 1 | no | — |
| 278 | D4×C71 | — | 4 | 1 | no | — |
| 279 | C2×C4×C71 | — | 2 | 1 | no | — |
| 280 | C2×C4×C71 | — | 2 | 1 | no | — |
| 281 | C2×C4×C71 | — | 2 | 1 | no | — |
| 282 | C2×C4×C71 | — | 4 | 1 | no | — |
| 283 | C2×C4×C71 | — | 4 | 1 | no | — |
| 284 | C2×C4×C71 | — | 4 | 1 | no | — |
| 285 | C2×C4×C71 | — | 8 | 1 | no | — |
| 286 | C2×C4×C71 | C23×C4 | 1 | 1 | yes | characteristic |
| 287 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 288 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 289 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 290 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 291 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 292 | C22⋊D71 | — | 2 | 2 | no | — |
| 293 | C22⋊D71 | — | 2 | 2 | no | — |
| 294 | C22⋊D71 | — | 4 | 1 | no | — |
| 295 | C22⋊D71 | — | 4 | 1 | no | — |
| 296 | C2×Dic71 | — | 2 | 1 | no | — |
| 297 | C2×Dic71 | — | 2 | 1 | no | — |
| 298 | C2×Dic71 | — | 2 | 2 | no | — |
| 299 | C2×Dic71 | — | 4 | 1 | no | — |
| 300 | D284 | — | 2 | 1 | no | — |
| 301 | D284 | — | 2 | 1 | no | — |
| 302 | D284 | — | 2 | 1 | no | — |
| 303 | D284 | C4×D4 | 1 | 2 | yes | — |
| 304 | C4×D71 | — | 2 | 2 | no | — |
| 305 | C4×D71 | — | 2 | 2 | no | — |
| 306 | C4×D71 | — | 4 | 1 | no | — |
| 307 | C4×D71 | — | 4 | 1 | no | — |
| 308 | C4×D71 | — | 8 | 2 | no | — |
| 309 | Dic142 | — | 2 | 1 | no | — |
| 310 | Dic142 | — | 2 | 1 | no | — |
| 311 | Dic142 | — | 2 | 1 | no | — |
| 312 | Dic142 | C4×D4 | 1 | 2 | yes | — |
| 313 | C8×C71 | — | 2 | 2 | no | — |
| 314 | C8×C71 | — | 2 | 2 | no | — |
| 315 | C8×C71 | — | 2 | 2 | no | — |
| 316 | C8×C71 | — | 4 | 1 | no | — |
| 317 | C71⋊C8 | — | 2 | 2 | no | — |
| 318 | C71⋊C8 | — | 4 | 1 | no | — |
| 319 | C71⋊C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 320 | C71⋊C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 321 | C71⋊C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 322 | C71⋊C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 323 | C71⋊C8 | #121 | 1 | 1 | yes | characteristic |
| 324 | C71⋊C8 | #121 | 1 | 1 | yes | characteristic |
| 325 | C71⋊C8 | #121 | 1 | 1 | yes | characteristic |
| 326 | C71⋊C8 | #121 | 1 | 1 | yes | characteristic |
| 327 | C22×C71 | — | 4 | 1 | no | — |
| 328 | C22×C71 | — | 4 | 1 | no | — |
| 329 | C22×C71 | — | 8 | 1 | no | — |
| 330 | C22×C71 | C4×#41 | 1 | 1 | yes | characteristic |
| 331 | C22×C71 | #525 | 1 | 1 | yes | characteristic |
| 332 | C22×C71 | #532 | 1 | 1 | yes | characteristic |
| 333 | C2×D71 | — | 2 | 2 | no | — |
| 334 | C2×D71 | — | 4 | 2 | no | — |
| 335 | C2×D71 | — | 4 | 1 | no | — |
| 336 | C2×D71 | — | 8 | 1 | no | — |
| 337 | C4×C71 | — | 4 | 1 | no | — |
| 338 | C4×C71 | — | 4 | 1 | no | — |
| 339 | C4×C71 | — | 4 | 1 | no | — |
| 340 | C4×C71 | — | 8 | 1 | no | — |
| 341 | C4×C71 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 342 | C4×C71 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 343 | C4×C71 | C2×#121 | 1 | 1 | yes | characteristic |
| 344 | C4×C71 | #529 | 1 | 1 | yes | characteristic |
| 345 | Dic71 | — | 2 | 2 | no | — |
| 346 | Dic71 | — | 4 | 2 | no | — |
| 347 | Dic71 | — | 4 | 1 | no | — |
| 348 | Dic71 | — | 8 | 1 | no | — |
| 349 | #21559 | — | 71 | 1 | no | maximal, Sylow |
| 350 | C2×C71 | — | 2 | 1 | no | — |
| 351 | C2×C71 | — | 2 | 1 | no | — |
| 352 | C2×C71 | — | 2 | 1 | no | — |
| 353 | C2×C71 | — | 8 | 1 | no | — |
| 354 | C2×C71 | C4×#121 | 1 | 1 | yes | characteristic |
| 355 | D71 | — | 4 | 2 | no | — |
| 356 | D71 | — | 8 | 1 | no | — |
| 357 | #3067 | — | 71 | 1 | no | — |
| 358 | #2955 | — | 71 | 1 | no | — |
| 359 | #2955 | — | 71 | 1 | no | — |
| 360 | C2×#444 | — | 71 | 1 | no | — |
| 361 | #2875 | — | 71 | 1 | no | — |
| 362 | #1976 | — | 71 | 1 | no | — |
| 363 | #1953 | — | 71 | 1 | no | — |
| 364 | #1932 | — | 71 | 1 | no | — |
| 365 | #1932 | D71 | 1 | 1 | yes | characteristic, complemented |
| 366 | #1906 | — | 71 | 1 | no | — |
| 367 | #1906 | — | 71 | 1 | no | — |
| 368 | #1814 | — | 71 | 1 | no | — |
| 369 | #1773 | — | 71 | 1 | no | — |
| 370 | #1757 | — | 71 | 1 | no | — |
| 371 | #1757 | — | 71 | 1 | no | — |
| 372 | C71 | #21559 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 373 | #575 | — | 71 | 1 | no | — |
| 374 | #575 | — | 71 | 1 | no | — |
| 375 | C2×#135 | — | 71 | 1 | no | — |
| 376 | C2×#131 | — | 71 | 1 | no | — |
| 377 | C2×#131 | — | 71 | 1 | no | — |
| 378 | C2×#131 | — | 71 | 1 | no | — |
| 379 | C2×#131 | — | 71 | 1 | no | — |
| 380 | C4×#41 | — | 71 | 1 | no | — |
| 381 | #473 | — | 71 | 2 | no | — |
| 382 | #472 | — | 71 | 2 | no | — |
| 383 | #471 | — | 71 | 2 | no | — |
| 384 | #471 | — | 71 | 2 | no | — |
| 385 | #444 | — | 142 | 1 | no | — |
| 386 | #444 | — | 142 | 1 | no | — |
| 387 | #444 | — | 142 | 1 | no | — |
| 388 | #444 | — | 142 | 1 | no | — |
| 389 | #444 | — | 142 | 2 | no | — |
| 390 | #444 | — | 142 | 2 | no | — |
| 391 | #443 | — | 142 | 2 | no | — |
| 392 | #443 | — | 142 | 2 | no | — |
| 393 | #430 | — | 71 | 1 | no | — |
| 394 | #430 | C2×D71 | 1 | 1 | yes | characteristic |
| 395 | C2×#108 | — | 71 | 1 | no | — |
| 396 | C2×#108 | — | 71 | 1 | no | — |
| 397 | #427 | — | 71 | 1 | no | — |
| 398 | #421 | — | 71 | 1 | no | — |
| 399 | #421 | — | 71 | 1 | no | — |
| 400 | #421 | — | 71 | 1 | no | — |
| 401 | #421 | C2×D71 | 1 | 1 | yes | characteristic |
| 402 | C2×#104 | — | 71 | 1 | no | — |
| 403 | C2×#104 | C2×D71 | 1 | 1 | yes | characteristic |
| 404 | #413 | — | 71 | 1 | no | — |
| 405 | #413 | C2×D71 | 1 | 1 | yes | characteristic |
| 406 | #410 | — | 71 | 1 | no | — |
| 407 | #410 | — | 71 | 1 | no | — |
| 408 | #405 | — | 71 | 1 | no | — |
| 409 | #405 | — | 71 | 1 | no | — |
| 410 | #405 | — | 71 | 1 | no | — |
| 411 | #405 | — | 71 | 1 | no | — |
| 412 | #405 | — | 142 | 1 | no | — |
| 413 | #405 | — | 142 | 1 | no | — |
| 414 | C4×M16 | — | 142 | 1 | no | — |
| 415 | C4×M16 | C2×D71 | 1 | 1 | yes | characteristic |
| 416 | C2×#97 | — | 71 | 1 | no | — |
| 417 | C2×#97 | — | 142 | 1 | no | — |
| 418 | #344 | — | 71 | 1 | no | — |
| 419 | #344 | — | 71 | 1 | no | — |
| 420 | #344 | — | 71 | 1 | no | — |
| 421 | #344 | C2×D71 | 1 | 1 | yes | characteristic |
| 422 | #339 | — | 71 | 1 | no | — |
| 423 | #339 | C2×D71 | 1 | 1 | yes | characteristic |
| 424 | C2×#41 | — | 71 | 1 | no | — |
| 425 | C2×#41 | — | 71 | 1 | no | — |
| 426 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 427 | #137 | — | 71 | 2 | no | — |
| 428 | #137 | — | 71 | 2 | no | — |
| 429 | #137 | — | 142 | 1 | no | — |
| 430 | #137 | — | 142 | 1 | no | — |
| 431 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 432 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 433 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 434 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 435 | #135 | — | 142 | 2 | no | — |
| 436 | #135 | — | 142 | 1 | no | — |
| 437 | #135 | — | 142 | 1 | no | — |
| 438 | #135 | — | 142 | 1 | no | — |
| 439 | #135 | — | 142 | 1 | no | — |
| 440 | #135 | — | 142 | 2 | no | — |
| 441 | C2×Q16 | — | 71 | 1 | no | — |
| 442 | C2×SD16 | — | 71 | 1 | no | — |
| 443 | C2×SD16 | — | 71 | 1 | no | — |
| 444 | C2×D8 | — | 71 | 1 | no | — |
| 445 | #131 | — | 71 | 2 | no | — |
| 446 | #131 | — | 71 | 2 | no | — |
| 447 | #131 | — | 71 | 2 | no | — |
| 448 | #131 | — | 71 | 2 | no | — |
| 449 | #131 | — | 142 | 1 | no | — |
| 450 | #131 | — | 142 | 1 | no | — |
| 451 | #131 | — | 142 | 1 | no | — |
| 452 | #131 | — | 142 | 1 | no | — |
| 453 | #131 | — | 142 | 1 | no | — |
| 454 | #131 | — | 142 | 1 | no | — |
| 455 | #131 | — | 142 | 1 | no | — |
| 456 | #131 | — | 142 | 1 | no | — |
| 457 | #131 | — | 142 | 1 | no | — |
| 458 | #131 | — | 142 | 1 | no | — |
| 459 | #131 | — | 142 | 1 | no | — |
| 460 | #131 | — | 142 | 1 | no | — |
| 461 | C2×M16 | — | 71 | 1 | no | — |
| 462 | C2×M16 | — | 71 | 1 | no | — |
| 463 | C2×M16 | — | 142 | 1 | no | — |
| 464 | C2×M16 | — | 142 | 1 | no | — |
| 465 | C2×M16 | — | 142 | 1 | no | — |
| 466 | C2×M16 | — | 142 | 1 | no | — |
| 467 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 468 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 469 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 470 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 471 | C22×C8 | — | 71 | 1 | no | — |
| 472 | C22×C8 | — | 71 | 1 | no | — |
| 473 | C22×C8 | — | 142 | 1 | no | — |
| 474 | C22×C8 | — | 142 | 1 | no | — |
| 475 | C22×C8 | — | 142 | 1 | no | — |
| 476 | C22×C8 | — | 142 | 1 | no | — |
| 477 | C4×Q8 | — | 142 | 1 | no | — |
| 478 | C4×D4 | — | 142 | 1 | no | — |
| 479 | C4×D4 | — | 142 | 2 | no | — |
| 480 | #117 | — | 71 | 1 | no | — |
| 481 | #117 | — | 71 | 1 | no | — |
| 482 | #117 | — | 142 | 1 | no | — |
| 483 | #117 | C22×D71 | 1 | 1 | yes | characteristic |
| 484 | C2×C42 | — | 142 | 1 | no | — |
| 485 | C2×C42 | C22×D71 | 1 | 1 | yes | characteristic |
| 486 | #108 | — | 2 | 2 | no | — |
| 487 | #108 | — | 71 | 2 | no | — |
| 488 | #108 | — | 71 | 2 | no | — |
| 489 | #108 | — | 142 | 1 | no | — |
| 490 | #108 | — | 142 | 1 | no | — |
| 491 | #108 | — | 142 | 2 | no | — |
| 492 | #107 | — | 142 | 1 | no | — |
| 493 | #106 | — | 142 | 1 | no | — |
| 494 | #104 | — | 2 | 2 | no | — |
| 495 | #104 | — | 2 | 1 | no | — |
| 496 | #104 | — | 2 | 1 | no | — |
| 497 | #104 | — | 142 | 2 | no | — |
| 498 | #104 | — | 142 | 2 | no | — |
| 499 | #104 | — | 142 | 2 | no | — |
| 500 | #104 | — | 142 | 1 | no | — |
| 501 | #104 | — | 142 | 1 | no | — |
| 502 | #101 | — | 71 | 2 | no | — |
| 503 | #101 | C4×D71 | 1 | 2 | yes | complemented |
| 504 | #100 | — | 71 | 2 | no | — |
| 505 | #100 | C4×D71 | 1 | 2 | yes | complemented |
| 506 | #99 | — | 142 | 2 | no | — |
| 507 | #99 | — | 142 | 2 | no | — |
| 508 | #97 | — | 2 | 1 | no | — |
| 509 | #97 | — | 71 | 1 | no | — |
| 510 | #97 | — | 71 | 1 | no | — |
| 511 | #97 | — | 71 | 1 | no | — |
| 512 | #97 | — | 71 | 1 | no | — |
| 513 | #97 | — | 142 | 1 | no | — |
| 514 | #97 | — | 142 | 1 | no | — |
| 515 | #97 | — | 142 | 1 | no | — |
| 516 | #97 | — | 142 | 1 | no | — |
| 517 | C4×C8 | — | 2 | 1 | no | — |
| 518 | C4×C8 | — | 142 | 1 | no | — |
| 519 | C4×C8 | — | 142 | 1 | no | — |
| 520 | C4×C8 | — | 142 | 1 | no | — |
| 521 | C4×C8 | — | 142 | 1 | no | — |
| 522 | #41 | — | 2 | 1 | no | — |
| 523 | #41 | — | 2 | 1 | no | — |
| 524 | #41 | — | 2 | 1 | no | — |
| 525 | #41 | — | 2 | 1 | no | — |
| 526 | #41 | — | 71 | 2 | no | — |
| 527 | #41 | — | 71 | 2 | no | — |
| 528 | #41 | — | 142 | 1 | no | — |
| 529 | #41 | — | 142 | 1 | no | — |
| 530 | #41 | — | 142 | 1 | no | — |
| 531 | #41 | — | 142 | 1 | no | — |
| 532 | #41 | — | 142 | 1 | no | — |
| 533 | #41 | — | 142 | 1 | no | — |
| 534 | C2×Q8 | — | 71 | 1 | no | — |
| 535 | C2×Q8 | — | 71 | 1 | no | — |
| 536 | C2×Q8 | C2×C4×D71 | 1 | 1 | yes | characteristic |
| 537 | C2×D4 | — | 2 | 1 | no | — |
| 538 | C2×D4 | — | 71 | 1 | no | — |
| 539 | C2×D4 | — | 71 | 1 | no | — |
| 540 | C2×D4 | — | 142 | 1 | no | — |
| 541 | C2×D4 | — | 142 | 1 | no | — |
| 542 | C2×D4 | C2×C4×D71 | 1 | 1 | yes | characteristic |
| 543 | C22×C4 | — | 2 | 1 | no | — |
| 544 | C22×C4 | — | 2 | 1 | no | — |
| 545 | C22×C4 | — | 142 | 2 | no | — |
| 546 | C22×C4 | — | 142 | 1 | no | — |
| 547 | C22×C4 | — | 142 | 1 | no | — |
| 548 | C22×C4 | C23×D71 | 1 | 1 | yes | characteristic |
| 549 | Q16 | — | 142 | 2 | no | — |
| 550 | Q16 | — | 142 | 1 | no | — |
| 551 | Q16 | — | 142 | 1 | no | — |
| 552 | Q16 | — | 142 | 2 | no | — |
| 553 | SD16 | — | 142 | 2 | no | — |
| 554 | SD16 | — | 142 | 2 | no | — |
| 555 | SD16 | — | 142 | 1 | no | — |
| 556 | SD16 | — | 142 | 1 | no | — |
| 557 | SD16 | — | 142 | 1 | no | — |
| 558 | SD16 | — | 142 | 1 | no | — |
| 559 | SD16 | — | 142 | 2 | no | — |
| 560 | SD16 | — | 142 | 2 | no | — |
| 561 | D8 | — | 142 | 2 | no | — |
| 562 | D8 | — | 142 | 1 | no | — |
| 563 | D8 | — | 142 | 1 | no | — |
| 564 | D8 | — | 142 | 2 | no | — |
| 565 | M16 | — | 2 | 1 | no | — |
| 566 | M16 | — | 2 | 1 | no | — |
| 567 | M16 | — | 2 | 1 | no | — |
| 568 | M16 | — | 2 | 1 | no | — |
| 569 | M16 | — | 2 | 1 | no | — |
| 570 | M16 | — | 284 | 1 | no | — |
| 571 | M16 | — | 284 | 1 | no | — |
| 572 | M16 | — | 284 | 1 | no | — |
| 573 | M16 | — | 284 | 1 | no | — |
| 574 | M16 | — | 71 | 2 | no | — |
| 575 | M16 | — | 142 | 2 | no | — |
| 576 | M16 | — | 142 | 2 | no | — |
| 577 | M16 | — | 142 | 2 | no | — |
| 578 | M16 | — | 142 | 2 | no | — |
| 579 | M16 | — | 142 | 1 | no | — |
| 580 | M16 | — | 142 | 1 | no | — |
| 581 | M16 | — | 142 | 1 | no | — |
| 582 | M16 | C2×C4×D71 | 1 | 2 | yes | — |
| 583 | M16 | C2×C4×D71 | 1 | 2 | yes | — |
| 584 | M16 | D4×D71 | 1 | 2 | yes | — |
| 585 | C2×C8 | — | 2 | 1 | no | — |
| 586 | C2×C8 | — | 2 | 1 | no | — |
| 587 | C2×C8 | — | 2 | 1 | no | — |
| 588 | C2×C8 | — | 2 | 1 | no | — |
| 589 | C2×C8 | — | 284 | 1 | no | — |
| 590 | C2×C8 | — | 284 | 1 | no | — |
| 591 | C2×C8 | — | 284 | 1 | no | — |
| 592 | C2×C8 | — | 284 | 1 | no | — |
| 593 | C2×C8 | — | 71 | 1 | no | — |
| 594 | C2×C8 | — | 71 | 1 | no | — |
| 595 | C2×C8 | — | 71 | 1 | no | — |
| 596 | C2×C8 | — | 71 | 1 | no | — |
| 597 | C2×C8 | — | 71 | 1 | no | — |
| 598 | C2×C8 | — | 71 | 1 | no | — |
| 599 | C2×C8 | — | 71 | 1 | no | — |
| 600 | C2×C8 | — | 71 | 1 | no | — |
| 601 | C2×C8 | — | 71 | 1 | no | — |
| 602 | C2×C8 | — | 71 | 1 | no | — |
| 603 | C2×C8 | — | 71 | 1 | no | — |
| 604 | C2×C8 | — | 71 | 1 | no | — |
| 605 | C2×C8 | — | 142 | 2 | no | — |
| 606 | C2×C8 | — | 142 | 2 | no | — |
| 607 | C2×C8 | — | 142 | 2 | no | — |
| 608 | C2×C8 | — | 142 | 2 | no | — |
| 609 | C2×C8 | — | 142 | 1 | no | — |
| 610 | C2×C8 | — | 142 | 1 | no | — |
| 611 | C4⋊C4 | — | 2 | 1 | no | — |
| 612 | C4⋊C4 | — | 142 | 2 | no | — |
| 613 | C4⋊C4 | — | 142 | 1 | no | — |
| 614 | C4⋊C4 | — | 142 | 1 | no | — |
| 615 | C22⋊C4 | — | 2 | 1 | no | — |
| 616 | C22⋊C4 | — | 71 | 2 | no | — |
| 617 | C22⋊C4 | — | 142 | 2 | no | — |
| 618 | C22⋊C4 | — | 142 | 1 | no | — |
| 619 | C42 | — | 2 | 1 | no | — |
| 620 | C42 | — | 2 | 1 | no | — |
| 621 | C42 | — | 142 | 2 | no | — |
| 622 | C42 | — | 142 | 1 | no | — |
| 623 | C42 | — | 142 | 1 | no | — |
| 624 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 625 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 626 | C23 | — | 2 | 1 | no | — |
| 627 | C23 | — | 142 | 1 | no | — |
| 628 | C23 | — | 142 | 1 | no | — |
| 629 | C23 | #41×D71 | 1 | 1 | yes | characteristic |
| 630 | Q8 | — | 2 | 1 | no | — |
| 631 | Q8 | — | 2 | 1 | no | — |
| 632 | Q8 | — | 71 | 2 | no | — |
| 633 | Q8 | — | 142 | 1 | no | — |
| 634 | Q8 | — | 142 | 1 | no | — |
| 635 | Q8 | — | 142 | 1 | no | — |
| 636 | D4 | — | 2 | 1 | no | — |
| 637 | D4 | — | 2 | 1 | no | — |
| 638 | D4 | — | 4 | 1 | no | — |
| 639 | D4 | — | 4 | 1 | no | — |
| 640 | D4 | — | 284 | 1 | no | — |
| 641 | D4 | — | 284 | 1 | no | — |
| 642 | D4 | — | 71 | 2 | no | — |
| 643 | D4 | — | 142 | 2 | no | — |
| 644 | D4 | — | 142 | 2 | no | — |
| 645 | D4 | — | 142 | 1 | no | — |
| 646 | D4 | — | 142 | 1 | no | — |
| 647 | D4 | — | 142 | 1 | no | — |
| 648 | C2×C4 | — | 2 | 1 | no | — |
| 649 | C2×C4 | — | 2 | 1 | no | — |
| 650 | C2×C4 | — | 2 | 1 | no | — |
| 651 | C2×C4 | — | 4 | 1 | no | — |
| 652 | C2×C4 | — | 4 | 1 | no | — |
| 653 | C2×C4 | — | 4 | 1 | no | — |
| 654 | C2×C4 | — | 8 | 1 | no | — |
| 655 | C2×C4 | — | 284 | 1 | no | — |
| 656 | C2×C4 | — | 284 | 1 | no | — |
| 657 | C2×C4 | — | 284 | 1 | no | — |
| 658 | C2×C4 | — | 568 | 2 | no | — |
| 659 | C2×C4 | — | 142 | 1 | no | — |
| 660 | C2×C4 | — | 142 | 2 | no | — |
| 661 | C2×C4 | — | 142 | 1 | no | — |
| 662 | C2×C4 | — | 142 | 2 | no | — |
| 663 | C2×C4 | — | 142 | 2 | no | — |
| 664 | C2×C4 | C22×C4×D71 | 1 | 1 | yes | characteristic |
| 665 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 666 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 667 | C2×C4 | #41×D71 | 1 | 1 | yes | characteristic |
| 668 | C2×C4 | #41×D71 | 1 | 1 | yes | characteristic |
| 669 | C2×C4 | #41×D71 | 1 | 1 | yes | characteristic |
| 670 | C8 | — | 2 | 2 | no | — |
| 671 | C8 | — | 2 | 2 | no | — |
| 672 | C8 | — | 2 | 2 | no | — |
| 673 | C8 | — | 4 | 1 | no | — |
| 674 | C8 | — | 284 | 1 | no | — |
| 675 | C8 | — | 71 | 1 | no | — |
| 676 | C8 | — | 71 | 1 | no | — |
| 677 | C8 | — | 71 | 1 | no | — |
| 678 | C8 | — | 71 | 1 | no | — |
| 679 | C8 | — | 71 | 1 | no | — |
| 680 | C8 | — | 71 | 1 | no | — |
| 681 | C8 | — | 71 | 1 | no | — |
| 682 | C8 | — | 71 | 1 | no | — |
| 683 | C8 | — | 142 | 2 | no | — |
| 684 | C22 | — | 4 | 1 | no | — |
| 685 | C22 | — | 4 | 1 | no | — |
| 686 | C22 | — | 8 | 1 | no | — |
| 687 | C22 | — | 284 | 2 | no | — |
| 688 | C22 | — | 284 | 1 | no | — |
| 689 | C22 | — | 568 | 1 | no | — |
| 690 | C22 | — | 142 | 2 | no | — |
| 691 | C22 | #17986467 | 1 | 1 | yes | characteristic |
| 692 | C22 | #17986507 | 1 | 1 | yes | characteristic |
| 693 | C22 | #17986548 | 1 | 1 | yes | characteristic |
| 694 | C4 | — | 4 | 1 | no | — |
| 695 | C4 | — | 4 | 1 | no | — |
| 696 | C4 | — | 4 | 1 | no | — |
| 697 | C4 | — | 8 | 1 | no | — |
| 698 | C4 | — | 284 | 2 | no | — |
| 699 | C4 | — | 284 | 1 | no | — |
| 700 | C4 | — | 568 | 1 | no | — |
| 701 | C4 | — | 142 | 2 | no | — |
| 702 | C4 | C4×D4×D71 | 1 | 1 | yes | characteristic |
| 703 | C4 | C4×D4×D71 | 1 | 1 | yes | characteristic |
| 704 | C4 | #121×D71 | 1 | 1 | yes | characteristic |
| 705 | C4 | #17986532 | 1 | 1 | yes | characteristic |
| 706 | C2 | — | 2 | 1 | no | — |
| 707 | C2 | — | 2 | 1 | no | — |
| 708 | C2 | — | 2 | 1 | no | — |
| 709 | C2 | — | 8 | 1 | no | — |
| 710 | C2 | — | 284 | 2 | no | — |
| 711 | C2 | — | 568 | 1 | no | — |
| 712 | C2 | #22590852 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta