| 1 | #22597835 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#17986222 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C4×#14556161 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22597005 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22589641 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22589634 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #22589462 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22589457 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #22589253 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22589241 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22589189 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22589003 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22588996 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22588333 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#1950 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14556161 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#14556161 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14556156 | C22 | 1 | 1 | yes | characteristic |
| 19 | C22×Dic284 | C22 | 1 | 1 | yes | characteristic |
| 20 | C22×#11765854 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#14556116 | C22 | 1 | 1 | yes | characteristic |
| 22 | C4×#11765865 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C4×Dic142 | C22 | 1 | 1 | yes | characteristic |
| 24 | #17986222 | — | 2 | 1 | no | — |
| 25 | #17986222 | — | 2 | 1 | no | — |
| 26 | #17986222 | — | 2 | 1 | no | — |
| 27 | #17986222 | — | 2 | 1 | no | — |
| 28 | #17986222 | — | 2 | 1 | no | — |
| 29 | #17986222 | — | 2 | 1 | no | — |
| 30 | #17986215 | — | 2 | 1 | no | — |
| 31 | #17986215 | — | 2 | 1 | no | — |
| 32 | #17986107 | — | 2 | 1 | no | — |
| 33 | #17986101 | — | 2 | 1 | no | — |
| 34 | C4×Dic284 | — | 2 | 1 | no | — |
| 35 | C4×#11765854 | — | 2 | 1 | no | — |
| 36 | #17986059 | — | 2 | 1 | no | — |
| 37 | #17986059 | — | 2 | 1 | no | — |
| 38 | #17986055 | — | 2 | 1 | no | — |
| 39 | #17986051 | — | 2 | 1 | no | — |
| 40 | #17986041 | C22 | 1 | 1 | yes | characteristic |
| 41 | #17986023 | C22 | 1 | 1 | yes | characteristic |
| 42 | #17986009 | C22 | 1 | 1 | yes | characteristic |
| 43 | #17986009 | C22 | 1 | 1 | yes | characteristic |
| 44 | #17986005 | C22 | 1 | 1 | yes | characteristic |
| 45 | #17986001 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×#14556053 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#14556050 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×#14556046 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×#14556046 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#14556046 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×#14556046 | C22 | 1 | 1 | yes | characteristic |
| 52 | C2×#14556044 | C22 | 1 | 1 | yes | characteristic |
| 53 | C2×#14556044 | C22 | 1 | 1 | yes | characteristic |
| 54 | #17985965 | C22 | 1 | 1 | yes | characteristic |
| 55 | #17985965 | C22 | 1 | 1 | yes | characteristic |
| 56 | #17985954 | C22 | 1 | 1 | yes | characteristic |
| 57 | #17985954 | C22 | 1 | 1 | yes | characteristic |
| 58 | #17985767 | C22 | 1 | 1 | yes | characteristic |
| 59 | #17985767 | C22 | 1 | 1 | yes | characteristic |
| 60 | C2×#108×C71 | C22 | 1 | 1 | yes | characteristic |
| 61 | C2×#108×C71 | C22 | 1 | 1 | yes | characteristic |
| 62 | #423×C71 | C22 | 1 | 1 | yes | characteristic |
| 63 | C2×C4⋊C8×C71 | C22 | 1 | 1 | yes | characteristic |
| 64 | C4×M16×C71 | C22 | 1 | 1 | yes | characteristic |
| 65 | #341×C71 | C22 | 1 | 1 | yes | characteristic |
| 66 | #341×C71 | C22 | 1 | 1 | yes | characteristic |
| 67 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 68 | C22×Dic142 | C23 | 1 | 1 | yes | characteristic |
| 69 | C22×Dic142 | C23 | 1 | 1 | yes | characteristic |
| 70 | C22×D284 | C23 | 1 | 1 | yes | characteristic |
| 71 | #14556161 | — | 2 | 2 | no | — |
| 72 | #14556161 | — | 2 | 2 | no | — |
| 73 | #14556161 | — | 4 | 1 | no | — |
| 74 | #14556161 | — | 4 | 1 | no | — |
| 75 | #14556156 | — | 4 | 1 | no | — |
| 76 | #14556156 | — | 4 | 1 | no | — |
| 77 | C2×Dic284 | — | 2 | 1 | no | — |
| 78 | C2×Dic284 | — | 2 | 1 | no | — |
| 79 | C2×Dic284 | — | 2 | 2 | no | — |
| 80 | C2×Dic284 | — | 2 | 1 | no | — |
| 81 | C2×Dic284 | — | 2 | 1 | no | — |
| 82 | C2×Dic284 | — | 4 | 1 | no | — |
| 83 | C2×#11765854 | — | 2 | 1 | no | — |
| 84 | C2×#11765854 | — | 2 | 1 | no | — |
| 85 | C2×#11765854 | — | 2 | 2 | no | — |
| 86 | C2×#11765854 | — | 2 | 1 | no | — |
| 87 | C2×#11765854 | — | 2 | 1 | no | — |
| 88 | C2×#11765854 | — | 2 | 1 | no | — |
| 89 | C2×#11765854 | — | 4 | 1 | no | — |
| 90 | C2×D568 | — | 2 | 1 | no | — |
| 91 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 93 | #14556116 | — | 2 | 1 | no | — |
| 94 | #14556116 | — | 2 | 1 | no | — |
| 95 | #14556116 | — | 2 | 1 | no | — |
| 96 | #14556116 | — | 2 | 1 | no | — |
| 97 | C4×Dic142 | — | 2 | 1 | no | — |
| 98 | C4×Dic142 | — | 2 | 1 | no | — |
| 99 | C4×Dic142 | — | 2 | 1 | no | — |
| 100 | C4×Dic142 | — | 2 | 1 | no | — |
| 101 | C4×Dic142 | D4 | 1 | 1 | yes | characteristic |
| 102 | C4×Dic142 | D4 | 1 | 1 | yes | characteristic |
| 103 | C4×D284 | D4 | 1 | 1 | yes | characteristic |
| 104 | C4×D284 | D4 | 1 | 1 | yes | characteristic |
| 105 | C4×C22⋊D71 | — | 2 | 1 | no | — |
| 106 | C4×C22⋊D71 | — | 2 | 1 | no | — |
| 107 | #14556087 | C23 | 1 | 1 | yes | characteristic |
| 108 | #14556085 | — | 2 | 1 | no | — |
| 109 | C2×C4⋊Dic71 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×Dic71⋊C4 | — | 2 | 1 | no | — |
| 111 | C2×(C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 112 | C2×(C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 113 | C2×C4×Dic71 | — | 2 | 1 | no | — |
| 114 | C42×D71 | — | 2 | 1 | no | — |
| 115 | #14556062 | — | 2 | 1 | no | — |
| 116 | #14556060 | — | 2 | 1 | no | — |
| 117 | C4⋊(C71⋊C8) | — | 2 | 1 | no | — |
| 118 | C4⋊(C71⋊C8) | — | 2 | 1 | no | — |
| 119 | #14556053 | — | 2 | 1 | no | — |
| 120 | #14556053 | — | 2 | 1 | no | — |
| 121 | #14556053 | — | 2 | 1 | no | — |
| 122 | #14556053 | — | 2 | 1 | no | — |
| 123 | #14556053 | — | 2 | 1 | no | — |
| 124 | #14556053 | — | 2 | 1 | no | — |
| 125 | #14556053 | — | 2 | 1 | no | — |
| 126 | #14556050 | — | 2 | 1 | no | — |
| 127 | #14556050 | — | 2 | 1 | no | — |
| 128 | #14556050 | — | 2 | 1 | no | — |
| 129 | #14556050 | — | 2 | 1 | no | — |
| 130 | #14556050 | — | 2 | 1 | no | — |
| 131 | #14556046 | — | 2 | 2 | no | — |
| 132 | #14556046 | — | 4 | 1 | no | — |
| 133 | #14556046 | — | 4 | 1 | no | — |
| 134 | #14556046 | — | 4 | 1 | no | — |
| 135 | #14556044 | — | 2 | 2 | no | — |
| 136 | #14556044 | — | 4 | 1 | no | — |
| 137 | (C2×D71)⋊C8 | — | 2 | 1 | no | — |
| 138 | (C2×D71)⋊C8 | — | 2 | 1 | no | — |
| 139 | (C2×D71)⋊C8 | — | 2 | 1 | no | — |
| 140 | (C2×D71)⋊C8 | — | 2 | 1 | no | — |
| 141 | #14556038 | — | 2 | 1 | no | — |
| 142 | #14556038 | — | 2 | 1 | no | — |
| 143 | C8×Dic71 | — | 2 | 1 | no | — |
| 144 | C8×Dic71 | — | 2 | 1 | no | — |
| 145 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 147 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 148 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 149 | C22×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 150 | C22×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 151 | C2×C42×C71 | C23 | 1 | 1 | yes | characteristic |
| 152 | #108×C71 | — | 4 | 1 | no | — |
| 153 | #108×C71 | — | 4 | 1 | no | — |
| 154 | C4⋊C8×C71 | — | 2 | 1 | no | — |
| 155 | C4⋊C8×C71 | — | 2 | 1 | no | — |
| 156 | C4⋊C8×C71 | D4 | 1 | 1 | yes | characteristic |
| 157 | C4⋊C8×C71 | D4 | 1 | 1 | yes | characteristic |
| 158 | C4⋊C8×C71 | D4 | 1 | 1 | yes | characteristic |
| 159 | C4⋊C8×C71 | D4 | 1 | 1 | yes | characteristic |
| 160 | #97×C71 | — | 2 | 1 | no | — |
| 161 | C4×C8×C71 | — | 2 | 1 | no | — |
| 162 | C23×D71 | — | 2 | 1 | no | — |
| 163 | #11765865 | — | 2 | 1 | no | — |
| 164 | #11765865 | — | 2 | 1 | no | — |
| 165 | #11765865 | — | 2 | 1 | no | — |
| 166 | #11765865 | — | 2 | 1 | no | — |
| 167 | C2×Dic142 | — | 2 | 1 | no | — |
| 168 | C2×Dic142 | — | 2 | 1 | no | — |
| 169 | C2×Dic142 | — | 2 | 1 | no | — |
| 170 | C2×Dic142 | — | 2 | 1 | no | — |
| 171 | C2×Dic142 | — | 2 | 1 | no | — |
| 172 | C2×Dic142 | — | 2 | 1 | no | — |
| 173 | C2×Dic142 | — | 2 | 1 | no | — |
| 174 | C2×Dic142 | — | 2 | 1 | no | — |
| 175 | C2×Dic142 | — | 2 | 1 | no | — |
| 176 | C2×Dic142 | — | 2 | 1 | no | — |
| 177 | C2×Dic142 | — | 2 | 1 | no | — |
| 178 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 179 | C2×Dic142 | #41 | 1 | 2 | yes | — |
| 180 | C2×D284 | — | 2 | 1 | no | — |
| 181 | C2×D284 | — | 2 | 1 | no | — |
| 182 | C2×D284 | — | 2 | 1 | no | — |
| 183 | C2×D284 | — | 2 | 1 | no | — |
| 184 | C2×D284 | — | 2 | 1 | no | — |
| 185 | C2×D284 | — | 2 | 1 | no | — |
| 186 | C2×D284 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 188 | C22×Dic71 | — | 2 | 1 | no | — |
| 189 | C22×Dic71 | — | 2 | 1 | no | — |
| 190 | C22×Dic71 | — | 2 | 1 | no | — |
| 191 | C2×C4×D71 | — | 2 | 1 | no | — |
| 192 | C2×C4×D71 | — | 2 | 1 | no | — |
| 193 | C2×C4×D71 | — | 2 | 1 | no | — |
| 194 | Dic284 | — | 2 | 4 | no | — |
| 195 | Dic284 | — | 4 | 2 | no | — |
| 196 | Dic284 | — | 4 | 2 | no | — |
| 197 | Dic284 | — | 4 | 2 | no | — |
| 198 | #11765854 | — | 2 | 4 | no | — |
| 199 | #11765854 | — | 4 | 2 | no | — |
| 200 | #11765854 | — | 4 | 2 | no | — |
| 201 | #11765854 | — | 4 | 2 | no | — |
| 202 | #11765854 | — | 4 | 2 | no | — |
| 203 | D568 | — | 4 | 2 | no | — |
| 204 | #11765849 | — | 2 | 1 | no | — |
| 205 | #11765849 | — | 2 | 1 | no | — |
| 206 | #11765849 | — | 2 | 1 | no | — |
| 207 | #11765849 | — | 2 | 1 | no | — |
| 208 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 209 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 210 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 211 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 212 | C4⋊Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C4⋊Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 215 | Dic71⋊C4 | — | 2 | 1 | no | — |
| 216 | Dic71⋊C4 | — | 4 | 1 | no | — |
| 217 | Dic71⋊C4 | — | 4 | 1 | no | — |
| 218 | C22⋊Dic71 | — | 2 | 1 | no | — |
| 219 | (C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 220 | (C2×D71)⋊C4 | — | 2 | 1 | no | — |
| 221 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 222 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 223 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 224 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 225 | C4×Dic71 | — | 2 | 1 | no | — |
| 226 | C4×Dic71 | — | 2 | 1 | no | — |
| 227 | C4×Dic71 | — | 2 | 1 | no | — |
| 228 | C4×Dic71 | — | 4 | 1 | no | — |
| 229 | C4×Dic71 | — | 4 | 1 | no | — |
| 230 | C22×C4×C71 | #41 | 1 | 1 | yes | characteristic |
| 231 | C22×C4×C71 | #41 | 1 | 1 | yes | characteristic |
| 232 | C22×C4×C71 | C24 | 1 | 1 | yes | characteristic |
| 233 | M16×C71 | — | 2 | 1 | no | — |
| 234 | M16×C71 | — | 2 | 1 | no | — |
| 235 | M16×C71 | — | 2 | 1 | no | — |
| 236 | M16×C71 | — | 2 | 1 | no | — |
| 237 | M16×C71 | — | 2 | 1 | no | — |
| 238 | M16×C71 | — | 2 | 1 | no | — |
| 239 | M16×C71 | — | 2 | 1 | no | — |
| 240 | M16×C71 | #41 | 1 | 2 | yes | — |
| 241 | C2×C8×C71 | — | 2 | 1 | no | — |
| 242 | C2×C8×C71 | — | 2 | 1 | no | — |
| 243 | C2×C8×C71 | — | 2 | 1 | no | — |
| 244 | C2×C8×C71 | — | 2 | 1 | no | — |
| 245 | C2×C8×C71 | — | 2 | 1 | no | — |
| 246 | C2×C8×C71 | — | 2 | 1 | no | — |
| 247 | C2×C8×C71 | — | 2 | 1 | no | — |
| 248 | C2×C8×C71 | — | 2 | 1 | no | — |
| 249 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C23×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 258 | C22×D71 | — | 2 | 1 | no | — |
| 259 | C22×D71 | — | 4 | 1 | no | — |
| 260 | C22×D71 | — | 4 | 1 | no | — |
| 261 | C22×D71 | — | 4 | 1 | no | — |
| 262 | C22×D71 | — | 8 | 1 | no | — |
| 263 | C22×D71 | — | 8 | 1 | no | — |
| 264 | C2×C4×C71 | — | 4 | 1 | no | — |
| 265 | C2×C4×C71 | — | 4 | 1 | no | — |
| 266 | C2×C4×C71 | #121 | 1 | 1 | yes | characteristic |
| 267 | C2×C4×C71 | #121 | 1 | 1 | yes | characteristic |
| 268 | C2×C4×C71 | #121 | 1 | 1 | yes | characteristic |
| 269 | C2×C4×C71 | #121 | 1 | 1 | yes | characteristic |
| 270 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 271 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 272 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 273 | C2×C4×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 274 | C2×C4×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 275 | C2×C4×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 276 | C22⋊D71 | — | 4 | 1 | no | — |
| 277 | C22⋊D71 | — | 4 | 1 | no | — |
| 278 | C2×Dic71 | — | 2 | 1 | no | — |
| 279 | C2×Dic71 | — | 2 | 1 | no | — |
| 280 | C2×Dic71 | — | 2 | 1 | no | — |
| 281 | C2×Dic71 | — | 2 | 2 | no | — |
| 282 | C2×Dic71 | — | 4 | 1 | no | — |
| 283 | C2×Dic71 | — | 4 | 1 | no | — |
| 284 | C2×Dic71 | — | 4 | 1 | no | — |
| 285 | C2×Dic71 | — | 4 | 1 | no | — |
| 286 | C2×Dic71 | — | 4 | 1 | no | — |
| 287 | C2×Dic71 | — | 4 | 1 | no | — |
| 288 | C2×Dic71 | — | 8 | 1 | no | — |
| 289 | D284 | — | 2 | 1 | no | — |
| 290 | D284 | — | 2 | 1 | no | — |
| 291 | D284 | — | 4 | 1 | no | — |
| 292 | D284 | — | 4 | 1 | no | — |
| 293 | D284 | — | 4 | 1 | no | — |
| 294 | D284 | — | 4 | 1 | no | — |
| 295 | C4×D71 | — | 4 | 2 | no | — |
| 296 | C4×D71 | — | 4 | 1 | no | — |
| 297 | C4×D71 | — | 4 | 1 | no | — |
| 298 | C4×D71 | — | 8 | 1 | no | — |
| 299 | Dic142 | — | 2 | 2 | no | — |
| 300 | Dic142 | — | 2 | 1 | no | — |
| 301 | Dic142 | — | 2 | 1 | no | — |
| 302 | Dic142 | — | 2 | 2 | no | — |
| 303 | Dic142 | — | 4 | 1 | no | — |
| 304 | Dic142 | — | 4 | 1 | no | — |
| 305 | Dic142 | — | 4 | 1 | no | — |
| 306 | Dic142 | — | 4 | 1 | no | — |
| 307 | Dic142 | — | 4 | 1 | no | — |
| 308 | Dic142 | — | 4 | 1 | no | — |
| 309 | C8×C71 | — | 2 | 2 | no | — |
| 310 | C8×C71 | — | 2 | 1 | no | — |
| 311 | C8×C71 | — | 2 | 1 | no | — |
| 312 | C8×C71 | — | 2 | 1 | no | — |
| 313 | C8×C71 | — | 2 | 1 | no | — |
| 314 | C8×C71 | — | 4 | 1 | no | — |
| 315 | C8×C71 | — | 4 | 1 | no | — |
| 316 | C8×C71 | — | 4 | 1 | no | — |
| 317 | C71⋊C8 | — | 4 | 1 | no | — |
| 318 | C71⋊C8 | — | 4 | 1 | no | — |
| 319 | C22×C71 | — | 2 | 1 | no | — |
| 320 | C22×C71 | — | 2 | 1 | no | — |
| 321 | C22×C71 | C2×#121 | 1 | 1 | yes | characteristic |
| 322 | C22×C71 | #553 | 1 | 1 | yes | characteristic |
| 323 | C22×C71 | #555 | 1 | 1 | yes | characteristic |
| 324 | C2×D71 | — | 4 | 1 | no | — |
| 325 | C2×D71 | — | 4 | 1 | no | — |
| 326 | C2×D71 | — | 4 | 1 | no | — |
| 327 | C2×D71 | — | 8 | 1 | no | — |
| 328 | C2×D71 | — | 8 | 1 | no | — |
| 329 | C2×D71 | — | 8 | 1 | no | — |
| 330 | C2×D71 | — | 16 | 1 | no | — |
| 331 | C2×D71 | — | 16 | 1 | no | — |
| 332 | C4×C71 | — | 2 | 1 | no | — |
| 333 | C4×C71 | — | 2 | 1 | no | — |
| 334 | C4×C71 | — | 2 | 1 | no | — |
| 335 | C4×C71 | — | 2 | 1 | no | — |
| 336 | C4×C71 | #525 | 1 | 1 | yes | characteristic |
| 337 | C4×C71 | #535 | 1 | 1 | yes | characteristic |
| 338 | C4×C71 | #546 | 1 | 1 | yes | characteristic |
| 339 | C4×C71 | #550 | 1 | 1 | yes | characteristic |
| 340 | Dic71 | — | 4 | 2 | no | — |
| 341 | Dic71 | — | 4 | 1 | no | — |
| 342 | Dic71 | — | 4 | 1 | no | — |
| 343 | Dic71 | — | 4 | 1 | no | — |
| 344 | Dic71 | — | 8 | 1 | no | — |
| 345 | Dic71 | — | 8 | 1 | no | — |
| 346 | #24675 | — | 71 | 1 | no | maximal, Sylow |
| 347 | C2×C71 | — | 2 | 1 | no | — |
| 348 | C2×C71 | — | 2 | 1 | no | — |
| 349 | C2×C71 | #2414 | 1 | 1 | yes | characteristic |
| 350 | C2×C71 | #3067 | 1 | 1 | yes | characteristic |
| 351 | C2×C71 | #3069 | 1 | 1 | yes | characteristic |
| 352 | D71 | — | 8 | 1 | no | — |
| 353 | D71 | — | 16 | 1 | no | — |
| 354 | #3040 | — | 71 | 1 | no | — |
| 355 | C2×#464 | — | 71 | 1 | no | — |
| 356 | C4×#137 | — | 71 | 1 | no | — |
| 357 | #2925 | — | 71 | 1 | no | — |
| 358 | #2052 | — | 71 | 1 | no | — |
| 359 | #2051 | — | 71 | 1 | no | — |
| 360 | #2020 | — | 71 | 1 | no | — |
| 361 | #2019 | — | 71 | 1 | no | — |
| 362 | #1979 | — | 71 | 1 | no | — |
| 363 | #1977 | — | 71 | 1 | no | — |
| 364 | #1967 | — | 71 | 1 | no | — |
| 365 | #1950 | D71 | 1 | 1 | yes | characteristic, complemented |
| 366 | #1931 | — | 71 | 1 | no | — |
| 367 | #1930 | — | 71 | 1 | no | — |
| 368 | #1801 | — | 71 | 1 | no | — |
| 369 | C71 | #24675 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 370 | C2×#137 | — | 71 | 1 | no | — |
| 371 | C2×#137 | — | 71 | 1 | no | — |
| 372 | C2×AGL(1,ℤ/8) | — | 71 | 1 | no | — |
| 373 | C22×Q16 | — | 71 | 1 | no | — |
| 374 | C22×SD16 | — | 71 | 1 | no | — |
| 375 | C2×#124 | — | 71 | 1 | no | — |
| 376 | C4×#41 | — | 71 | 1 | no | — |
| 377 | C2×C4×Q8 | — | 71 | 1 | no | — |
| 378 | #464 | — | 142 | 1 | no | — |
| 379 | #464 | — | 142 | 1 | no | — |
| 380 | #464 | — | 142 | 1 | no | — |
| 381 | #464 | — | 142 | 1 | no | — |
| 382 | #464 | — | 142 | 1 | no | — |
| 383 | #464 | — | 142 | 1 | no | — |
| 384 | #463 | — | 142 | 1 | no | — |
| 385 | #463 | — | 142 | 1 | no | — |
| 386 | #441 | — | 142 | 1 | no | — |
| 387 | #440 | — | 142 | 1 | no | — |
| 388 | C4×Q16 | — | 142 | 1 | no | — |
| 389 | C4×SD16 | — | 142 | 1 | no | — |
| 390 | #433 | — | 142 | 1 | no | — |
| 391 | #433 | — | 142 | 1 | no | — |
| 392 | #432 | — | 142 | 1 | no | — |
| 393 | #431 | — | 142 | 1 | no | — |
| 394 | C2×#108 | C2×D71 | 1 | 1 | yes | characteristic |
| 395 | C2×#108 | C2×D71 | 1 | 1 | yes | characteristic |
| 396 | #428 | — | 71 | 1 | no | — |
| 397 | #423 | — | 71 | 1 | no | — |
| 398 | #423 | C2×D71 | 1 | 1 | yes | characteristic |
| 399 | C2×C4⋊C8 | C2×D71 | 1 | 1 | yes | characteristic |
| 400 | #419 | — | 71 | 1 | no | — |
| 401 | #419 | — | 71 | 1 | no | — |
| 402 | #418 | — | 71 | 1 | no | — |
| 403 | #417 | — | 71 | 1 | no | — |
| 404 | C2×#103 | — | 71 | 1 | no | — |
| 405 | C2×#102 | — | 71 | 1 | no | — |
| 406 | C2×#101 | — | 71 | 1 | no | — |
| 407 | C2×#101 | — | 71 | 1 | no | — |
| 408 | C2×#101 | — | 71 | 1 | no | — |
| 409 | C2×#101 | — | 71 | 1 | no | — |
| 410 | C2×#100 | — | 71 | 1 | no | — |
| 411 | C2×#100 | — | 71 | 1 | no | — |
| 412 | #408 | — | 71 | 1 | no | — |
| 413 | #408 | — | 71 | 1 | no | — |
| 414 | #405 | — | 71 | 1 | no | — |
| 415 | #405 | — | 71 | 1 | no | — |
| 416 | C4×M16 | C2×D71 | 1 | 1 | yes | characteristic |
| 417 | #343 | — | 71 | 1 | no | — |
| 418 | #343 | — | 71 | 1 | no | — |
| 419 | #341 | C2×D71 | 1 | 1 | yes | characteristic |
| 420 | #341 | C2×D71 | 1 | 1 | yes | characteristic |
| 421 | C2×#41 | — | 71 | 1 | no | — |
| 422 | C22×Q8 | — | 71 | 1 | no | — |
| 423 | C22×Q8 | — | 71 | 1 | no | — |
| 424 | C22×D4 | — | 71 | 1 | no | — |
| 425 | #137 | — | 284 | 1 | no | — |
| 426 | #137 | — | 284 | 1 | no | — |
| 427 | #137 | — | 142 | 2 | no | — |
| 428 | #137 | — | 142 | 2 | no | — |
| 429 | AGL(1,ℤ/8) | — | 284 | 1 | no | — |
| 430 | AGL(1,ℤ/8) | — | 284 | 1 | no | — |
| 431 | C2×Q16 | — | 284 | 1 | no | — |
| 432 | C2×Q16 | — | 142 | 2 | no | — |
| 433 | C2×Q16 | — | 142 | 1 | no | — |
| 434 | C2×Q16 | — | 142 | 1 | no | — |
| 435 | C2×Q16 | — | 142 | 1 | no | — |
| 436 | C2×Q16 | — | 142 | 1 | no | — |
| 437 | C2×SD16 | — | 284 | 1 | no | — |
| 438 | C2×SD16 | — | 142 | 1 | no | — |
| 439 | C2×SD16 | — | 142 | 2 | no | — |
| 440 | C2×SD16 | — | 142 | 1 | no | — |
| 441 | C2×SD16 | — | 142 | 1 | no | — |
| 442 | C2×SD16 | — | 142 | 1 | no | — |
| 443 | C2×SD16 | — | 142 | 1 | no | — |
| 444 | C2×D8 | — | 142 | 1 | no | — |
| 445 | C2×M16 | — | 71 | 1 | no | — |
| 446 | C2×M16 | — | 71 | 1 | no | — |
| 447 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 448 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 449 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 450 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 451 | C22×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 452 | C22×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 453 | #124 | — | 142 | 1 | no | — |
| 454 | #124 | — | 142 | 1 | no | — |
| 455 | #124 | — | 142 | 1 | no | — |
| 456 | #124 | — | 142 | 1 | no | — |
| 457 | C4×Q8 | — | 71 | 1 | no | — |
| 458 | C4×Q8 | — | 71 | 1 | no | — |
| 459 | C4×Q8 | — | 142 | 1 | no | — |
| 460 | C4×Q8 | — | 142 | 1 | no | — |
| 461 | C4×Q8 | — | 142 | 1 | no | — |
| 462 | C4×Q8 | — | 142 | 1 | no | — |
| 463 | C4×D4 | — | 71 | 1 | no | — |
| 464 | C4×D4 | — | 71 | 1 | no | — |
| 465 | C4×D4 | — | 142 | 1 | no | — |
| 466 | C4×D4 | — | 142 | 1 | no | — |
| 467 | #117 | — | 71 | 1 | no | — |
| 468 | #117 | — | 142 | 1 | no | — |
| 469 | C2×C4⋊C4 | — | 71 | 1 | no | — |
| 470 | C2×C4⋊C4 | — | 142 | 1 | no | — |
| 471 | C2×C22⋊C4 | — | 142 | 1 | no | — |
| 472 | C2×C22⋊C4 | — | 142 | 1 | no | — |
| 473 | C2×C42 | — | 142 | 1 | no | — |
| 474 | C2×C42 | — | 142 | 1 | no | — |
| 475 | C2×C42 | C22×D71 | 1 | 1 | yes | characteristic |
| 476 | #108 | — | 4 | 1 | no | — |
| 477 | #108 | — | 4 | 1 | no | — |
| 478 | #107 | — | 142 | 1 | no | — |
| 479 | #106 | — | 142 | 1 | no | — |
| 480 | C4⋊C8 | — | 2 | 1 | no | — |
| 481 | C4⋊C8 | — | 2 | 1 | no | — |
| 482 | C4⋊C8 | — | 142 | 1 | no | — |
| 483 | C4⋊C8 | — | 142 | 1 | no | — |
| 484 | C4⋊C8 | D284 | 1 | 1 | yes | characteristic |
| 485 | C4⋊C8 | D284 | 1 | 1 | yes | characteristic |
| 486 | C4⋊C8 | D284 | 1 | 1 | yes | characteristic |
| 487 | C4⋊C8 | D284 | 1 | 1 | yes | characteristic |
| 488 | #103 | — | 142 | 1 | no | — |
| 489 | #103 | — | 142 | 1 | no | — |
| 490 | #103 | — | 142 | 1 | no | — |
| 491 | #103 | — | 142 | 1 | no | — |
| 492 | #103 | — | 142 | 1 | no | — |
| 493 | #103 | — | 142 | 1 | no | — |
| 494 | #103 | — | 142 | 1 | no | — |
| 495 | #102 | — | 142 | 1 | no | — |
| 496 | #102 | — | 142 | 1 | no | — |
| 497 | #102 | — | 142 | 1 | no | — |
| 498 | #102 | — | 142 | 1 | no | — |
| 499 | #102 | — | 142 | 1 | no | — |
| 500 | #101 | — | 284 | 1 | no | — |
| 501 | #101 | — | 284 | 1 | no | — |
| 502 | #101 | — | 284 | 1 | no | — |
| 503 | #101 | — | 142 | 2 | no | — |
| 504 | #100 | — | 284 | 1 | no | — |
| 505 | #100 | — | 142 | 2 | no | — |
| 506 | C22⋊C8 | — | 142 | 1 | no | — |
| 507 | C22⋊C8 | — | 142 | 1 | no | — |
| 508 | C22⋊C8 | — | 142 | 1 | no | — |
| 509 | C22⋊C8 | — | 142 | 1 | no | — |
| 510 | #97 | — | 2 | 1 | no | — |
| 511 | #97 | — | 142 | 1 | no | — |
| 512 | #97 | — | 142 | 1 | no | — |
| 513 | C4×C8 | — | 2 | 1 | no | — |
| 514 | C4×C8 | — | 142 | 1 | no | — |
| 515 | C4×C8 | — | 142 | 1 | no | — |
| 516 | C24 | — | 142 | 1 | no | — |
| 517 | #41 | — | 142 | 1 | no | — |
| 518 | #41 | — | 142 | 1 | no | — |
| 519 | #41 | — | 142 | 1 | no | — |
| 520 | #41 | — | 142 | 1 | no | — |
| 521 | C2×Q8 | — | 71 | 1 | no | — |
| 522 | C2×Q8 | — | 71 | 2 | no | — |
| 523 | C2×Q8 | — | 142 | 1 | no | — |
| 524 | C2×Q8 | — | 142 | 1 | no | — |
| 525 | C2×Q8 | — | 142 | 1 | no | — |
| 526 | C2×Q8 | — | 142 | 1 | no | — |
| 527 | C2×Q8 | — | 142 | 1 | no | — |
| 528 | C2×Q8 | — | 142 | 1 | no | — |
| 529 | C2×Q8 | — | 142 | 1 | no | — |
| 530 | C2×Q8 | — | 142 | 1 | no | — |
| 531 | C2×Q8 | — | 142 | 1 | no | — |
| 532 | C2×Q8 | — | 142 | 1 | no | — |
| 533 | C2×Q8 | — | 142 | 1 | no | — |
| 534 | C2×D4 | — | 71 | 1 | no | — |
| 535 | C2×D4 | — | 142 | 1 | no | — |
| 536 | C2×D4 | — | 142 | 1 | no | — |
| 537 | C2×D4 | — | 142 | 1 | no | — |
| 538 | C2×D4 | — | 142 | 1 | no | — |
| 539 | C2×D4 | — | 142 | 1 | no | — |
| 540 | C2×D4 | — | 142 | 1 | no | — |
| 541 | C2×D4 | — | 142 | 1 | no | — |
| 542 | C22×C4 | — | 142 | 1 | no | — |
| 543 | C22×C4 | — | 142 | 1 | no | — |
| 544 | C22×C4 | — | 142 | 1 | no | — |
| 545 | C22×C4 | — | 142 | 1 | no | — |
| 546 | C22×C4 | — | 142 | 1 | no | — |
| 547 | C22×C4 | — | 142 | 1 | no | — |
| 548 | C22×C4 | #11765866 | 1 | 1 | yes | characteristic |
| 549 | C22×C4 | #11765866 | 1 | 1 | yes | characteristic |
| 550 | C22×C4 | C23×D71 | 1 | 1 | yes | characteristic |
| 551 | Q16 | — | 284 | 2 | no | — |
| 552 | Q16 | — | 284 | 2 | no | — |
| 553 | Q16 | — | 284 | 2 | no | — |
| 554 | Q16 | — | 142 | 4 | no | — |
| 555 | SD16 | — | 284 | 2 | no | — |
| 556 | SD16 | — | 284 | 2 | no | — |
| 557 | SD16 | — | 284 | 2 | no | — |
| 558 | SD16 | — | 284 | 2 | no | — |
| 559 | SD16 | — | 142 | 4 | no | — |
| 560 | D8 | — | 284 | 2 | no | — |
| 561 | M16 | — | 2 | 1 | no | — |
| 562 | M16 | — | 2 | 1 | no | — |
| 563 | M16 | — | 2 | 1 | no | — |
| 564 | M16 | — | 2 | 1 | no | — |
| 565 | M16 | — | 2 | 1 | no | — |
| 566 | M16 | — | 2 | 1 | no | — |
| 567 | M16 | — | 2 | 1 | no | — |
| 568 | M16 | — | 142 | 1 | no | — |
| 569 | M16 | — | 142 | 1 | no | — |
| 570 | M16 | — | 142 | 1 | no | — |
| 571 | M16 | — | 142 | 1 | no | — |
| 572 | M16 | #11765866 | 1 | 2 | yes | — |
| 573 | C2×C8 | — | 2 | 1 | no | — |
| 574 | C2×C8 | — | 2 | 1 | no | — |
| 575 | C2×C8 | — | 2 | 1 | no | — |
| 576 | C2×C8 | — | 2 | 1 | no | — |
| 577 | C2×C8 | — | 2 | 1 | no | — |
| 578 | C2×C8 | — | 2 | 1 | no | — |
| 579 | C2×C8 | — | 2 | 1 | no | — |
| 580 | C2×C8 | — | 2 | 1 | no | — |
| 581 | C2×C8 | — | 142 | 1 | no | — |
| 582 | C2×C8 | — | 142 | 1 | no | — |
| 583 | C2×C8 | C2×D284 | 1 | 1 | yes | characteristic |
| 584 | C2×C8 | C2×D284 | 1 | 1 | yes | characteristic |
| 585 | C2×C8 | C2×D284 | 1 | 1 | yes | characteristic |
| 586 | C2×C8 | C2×D284 | 1 | 1 | yes | characteristic |
| 587 | C4⋊C4 | — | 284 | 1 | no | — |
| 588 | C4⋊C4 | — | 284 | 1 | no | — |
| 589 | C4⋊C4 | — | 71 | 1 | no | — |
| 590 | C4⋊C4 | — | 71 | 1 | no | — |
| 591 | C4⋊C4 | — | 142 | 1 | no | — |
| 592 | C4⋊C4 | — | 142 | 1 | no | — |
| 593 | C4⋊C4 | — | 142 | 1 | no | — |
| 594 | C4⋊C4 | — | 142 | 1 | no | — |
| 595 | C22⋊C4 | — | 284 | 1 | no | — |
| 596 | C22⋊C4 | — | 284 | 1 | no | — |
| 597 | C22⋊C4 | — | 284 | 1 | no | — |
| 598 | C22⋊C4 | — | 284 | 1 | no | — |
| 599 | C22⋊C4 | — | 142 | 1 | no | — |
| 600 | C22⋊C4 | — | 142 | 1 | no | — |
| 601 | C22⋊C4 | — | 142 | 1 | no | — |
| 602 | C42 | — | 284 | 1 | no | — |
| 603 | C42 | — | 284 | 1 | no | — |
| 604 | C42 | — | 142 | 1 | no | — |
| 605 | C42 | — | 142 | 1 | no | — |
| 606 | C42 | — | 142 | 1 | no | — |
| 607 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 608 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 609 | C42 | C2×D284 | 1 | 1 | yes | characteristic |
| 610 | C42 | C2×D284 | 1 | 1 | yes | characteristic |
| 611 | C23 | — | 284 | 1 | no | — |
| 612 | C23 | — | 284 | 1 | no | — |
| 613 | C23 | — | 284 | 1 | no | — |
| 614 | C23 | — | 568 | 1 | no | — |
| 615 | C23 | — | 568 | 1 | no | — |
| 616 | C23 | — | 142 | 1 | no | — |
| 617 | C23 | C2×#11765866 | 1 | 1 | yes | characteristic |
| 618 | Q8 | — | 284 | 1 | no | — |
| 619 | Q8 | — | 284 | 1 | no | — |
| 620 | Q8 | — | 284 | 1 | no | — |
| 621 | Q8 | — | 284 | 1 | no | — |
| 622 | Q8 | — | 284 | 1 | no | — |
| 623 | Q8 | — | 284 | 1 | no | — |
| 624 | Q8 | — | 142 | 1 | no | — |
| 625 | Q8 | — | 142 | 2 | no | — |
| 626 | Q8 | — | 142 | 2 | no | — |
| 627 | Q8 | — | 142 | 1 | no | — |
| 628 | D4 | — | 284 | 1 | no | — |
| 629 | D4 | — | 284 | 1 | no | — |
| 630 | D4 | — | 284 | 1 | no | — |
| 631 | D4 | — | 284 | 1 | no | — |
| 632 | D4 | — | 284 | 1 | no | — |
| 633 | D4 | — | 284 | 1 | no | — |
| 634 | D4 | — | 142 | 1 | no | — |
| 635 | D4 | — | 142 | 1 | no | — |
| 636 | C2×C4 | — | 4 | 1 | no | — |
| 637 | C2×C4 | — | 4 | 1 | no | — |
| 638 | C2×C4 | — | 284 | 2 | no | — |
| 639 | C2×C4 | — | 284 | 1 | no | — |
| 640 | C2×C4 | — | 284 | 1 | no | — |
| 641 | C2×C4 | — | 284 | 1 | no | — |
| 642 | C2×C4 | — | 284 | 1 | no | — |
| 643 | C2×C4 | — | 284 | 1 | no | — |
| 644 | C2×C4 | — | 284 | 1 | no | — |
| 645 | C2×C4 | — | 284 | 1 | no | — |
| 646 | C2×C4 | — | 284 | 1 | no | — |
| 647 | C2×C4 | — | 568 | 1 | no | — |
| 648 | C2×C4 | — | 568 | 1 | no | — |
| 649 | C2×C4 | — | 142 | 2 | no | — |
| 650 | C2×C4 | — | 142 | 1 | no | — |
| 651 | C2×C4 | — | 142 | 1 | no | — |
| 652 | C2×C4 | — | 142 | 1 | no | — |
| 653 | C2×C4 | #14556103 | 1 | 1 | yes | characteristic |
| 654 | C2×C4 | #14556103 | 1 | 1 | yes | characteristic |
| 655 | C2×C4 | #14556103 | 1 | 1 | yes | characteristic |
| 656 | C2×C4 | #14556103 | 1 | 1 | yes | characteristic |
| 657 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 658 | C2×C4 | C22×D284 | 1 | 1 | yes | characteristic |
| 659 | C2×C4 | #41×D71 | 1 | 1 | yes | characteristic |
| 660 | C2×C4 | C2×#11765866 | 1 | 1 | yes | characteristic |
| 661 | C2×C4 | #14556173 | 1 | 1 | yes | characteristic |
| 662 | C2×C4 | #14556174 | 1 | 1 | yes | characteristic |
| 663 | C8 | — | 2 | 1 | no | — |
| 664 | C8 | — | 2 | 1 | no | — |
| 665 | C8 | — | 2 | 1 | no | — |
| 666 | C8 | — | 2 | 1 | no | — |
| 667 | C8 | — | 2 | 2 | no | — |
| 668 | C8 | — | 4 | 1 | no | — |
| 669 | C8 | — | 4 | 1 | no | — |
| 670 | C8 | — | 4 | 1 | no | — |
| 671 | C8 | — | 284 | 1 | no | — |
| 672 | C8 | — | 284 | 1 | no | — |
| 673 | C22 | — | 2 | 1 | no | — |
| 674 | C22 | — | 2 | 1 | no | — |
| 675 | C22 | — | 284 | 1 | no | — |
| 676 | C22 | — | 284 | 1 | no | — |
| 677 | C22 | — | 284 | 1 | no | — |
| 678 | C22 | — | 568 | 1 | no | — |
| 679 | C22 | — | 568 | 1 | no | — |
| 680 | C22 | — | 568 | 1 | no | — |
| 681 | C22 | — | 1136 | 1 | no | — |
| 682 | C22 | — | 1136 | 1 | no | — |
| 683 | C22 | C2×#14556103 | 1 | 1 | yes | characteristic |
| 684 | C22 | #17986702 | 1 | 1 | yes | characteristic |
| 685 | C22 | #17986715 | 1 | 1 | yes | characteristic |
| 686 | C4 | — | 2 | 1 | no | — |
| 687 | C4 | — | 2 | 1 | no | — |
| 688 | C4 | — | 2 | 1 | no | — |
| 689 | C4 | — | 2 | 1 | no | — |
| 690 | C4 | — | 284 | 1 | no | — |
| 691 | C4 | — | 284 | 2 | no | — |
| 692 | C4 | — | 284 | 1 | no | — |
| 693 | C4 | — | 284 | 1 | no | — |
| 694 | C4 | — | 568 | 1 | no | — |
| 695 | C4 | — | 568 | 1 | no | — |
| 696 | C4 | #17986512 | 1 | 1 | yes | characteristic |
| 697 | C4 | #17986565 | 1 | 1 | yes | characteristic |
| 698 | C4 | #17986644 | 1 | 1 | yes | characteristic |
| 699 | C4 | #17986671 | 1 | 1 | yes | characteristic |
| 700 | C2 | — | 2 | 1 | no | — |
| 701 | C2 | — | 2 | 1 | no | — |
| 702 | C2 | — | 568 | 1 | no | — |
| 703 | C2 | — | 1136 | 1 | no | — |
| 704 | C2 | #22591756 | 1 | 1 | yes | characteristic |
| 705 | C2 | #22598061 | 1 | 1 | yes | characteristic |
| 706 | C2 | #22598078 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta