| 1 | C2×#17986796 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #22590087 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22590069 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22590068 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#17985780 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22588379 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C71×#2148 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#41×D71 | — | 2 | 1 | no | — |
| 9 | #17986796 | — | 2 | 2 | no | — |
| 10 | #17986796 | — | 2 | 2 | no | — |
| 11 | #17986796 | — | 2 | 2 | no | — |
| 12 | #17986796 | C4 | 1 | 4 | yes | — |
| 13 | C2×#14556160 | — | 2 | 1 | no | — |
| 14 | C2×#14556157 | — | 2 | 1 | no | — |
| 15 | C2×#14556155 | — | 2 | 1 | no | — |
| 16 | C2×#14556152 | — | 2 | 1 | no | — |
| 17 | C2×#14556150 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14556148 | — | 2 | 1 | no | — |
| 19 | C22×#11765848 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#14556068 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#14556064 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #17985962 | — | 2 | 1 | no | — |
| 23 | #17985814 | — | 2 | 1 | no | — |
| 24 | #17985811 | — | 2 | 1 | no | — |
| 25 | #17985807 | — | 2 | 2 | no | — |
| 26 | #17985806 | — | 2 | 2 | no | — |
| 27 | #17985780 | — | 2 | 2 | no | — |
| 28 | #17985763 | — | 2 | 1 | no | — |
| 29 | C2×#135×C71 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×M32×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×#108×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #362×C71 | — | 2 | 1 | no | — |
| 33 | #361×C71 | — | 2 | 1 | no | — |
| 34 | C2×#11765866 | — | 2 | 1 | no | — |
| 35 | C2×#11765865 | — | 2 | 1 | no | — |
| 36 | C2×#11765865 | — | 4 | 1 | no | — |
| 37 | C2×#11765864 | — | 2 | 1 | no | — |
| 38 | C2×#11765864 | — | 4 | 1 | no | — |
| 39 | #41×D71 | — | 2 | 4 | no | — |
| 40 | #41×D71 | — | 2 | 4 | no | — |
| 41 | #41×D71 | — | 4 | 2 | no | — |
| 42 | #41×D71 | — | 4 | 2 | no | — |
| 43 | C2×Q8×D71 | — | 2 | 1 | no | — |
| 44 | C2×D4×D71 | — | 2 | 1 | no | — |
| 45 | C2×D4×D71 | — | 4 | 1 | no | — |
| 46 | C22×C4×D71 | — | 4 | 1 | no | — |
| 47 | C22×C4×D71 | D4 | 1 | 1 | yes | characteristic |
| 48 | #14556160 | — | 2 | 4 | no | — |
| 49 | #14556160 | — | 2 | 4 | no | — |
| 50 | #14556157 | — | 2 | 4 | no | — |
| 51 | #14556157 | — | 2 | 4 | no | — |
| 52 | #14556155 | — | 2 | 4 | no | — |
| 53 | #14556155 | — | 2 | 4 | no | — |
| 54 | #14556152 | — | 2 | 4 | no | — |
| 55 | #14556152 | — | 2 | 4 | no | — |
| 56 | #14556150 | — | 2 | 1 | no | — |
| 57 | #14556150 | — | 2 | 1 | no | — |
| 58 | #14556150 | C2×C4 | 1 | 2 | yes | — |
| 59 | #14556150 | D4 | 1 | 2 | yes | — |
| 60 | #14556148 | — | 2 | 4 | no | — |
| 61 | #14556148 | — | 2 | 4 | no | — |
| 62 | C2×Dic284 | D4 | 1 | 1 | yes | characteristic |
| 63 | C2×#11765855 | — | 2 | 1 | no | — |
| 64 | C2×#11765854 | — | 2 | 1 | no | — |
| 65 | C2×#11765853 | — | 2 | 1 | no | — |
| 66 | C2×#11765852 | — | 2 | 1 | no | — |
| 67 | C2×D568 | D4 | 1 | 1 | yes | characteristic |
| 68 | C2×#11765850 | — | 2 | 1 | no | — |
| 69 | C2×#11765849 | — | 2 | 1 | no | — |
| 70 | C2×#11765848 | — | 2 | 1 | no | — |
| 71 | C2×#11765848 | — | 2 | 1 | no | — |
| 72 | C2×#11765848 | — | 2 | 1 | no | — |
| 73 | C2×#11765848 | — | 2 | 1 | no | — |
| 74 | C2×#11765848 | C2×C4 | 1 | 2 | yes | — |
| 75 | C2×#11765848 | D4 | 1 | 2 | yes | — |
| 76 | C22×C71⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 77 | #14556068 | — | 2 | 1 | no | — |
| 78 | #14556068 | — | 2 | 1 | no | — |
| 79 | C2×C71⋊C16 | — | 2 | 1 | no | — |
| 80 | #14556064 | — | 2 | 1 | no | — |
| 81 | #14556064 | — | 2 | 1 | no | — |
| 82 | (C2×D71)⋊C8 | — | 4 | 2 | no | — |
| 83 | C2×#41×C71 | — | 2 | 1 | no | — |
| 84 | #135×C71 | — | 2 | 1 | no | — |
| 85 | #135×C71 | — | 2 | 1 | no | — |
| 86 | #135×C71 | C2×C4 | 1 | 2 | yes | — |
| 87 | #135×C71 | D4 | 1 | 2 | yes | — |
| 88 | C2×Q16×C71 | D4 | 1 | 1 | yes | characteristic |
| 89 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 90 | C2×D8×C71 | D4 | 1 | 1 | yes | characteristic |
| 91 | C2×M16×C71 | — | 2 | 1 | no | — |
| 92 | C22×C8×C71 | C23 | 1 | 1 | yes | characteristic |
| 93 | M32×C71 | — | 2 | 1 | no | — |
| 94 | M32×C71 | — | 2 | 1 | no | — |
| 95 | C2×C16×C71 | — | 2 | 1 | no | — |
| 96 | #108×C71 | — | 2 | 1 | no | — |
| 97 | #108×C71 | — | 2 | 1 | no | — |
| 98 | C23×D71 | — | 4 | 1 | no | — |
| 99 | C23×D71 | SD16 | 1 | 1 | yes | characteristic |
| 100 | #11765866 | — | 2 | 4 | no | — |
| 101 | #11765866 | — | 4 | 2 | no | — |
| 102 | #11765865 | — | 2 | 2 | no | — |
| 103 | #11765865 | — | 2 | 2 | no | — |
| 104 | #11765865 | — | 4 | 4 | no | — |
| 105 | #11765865 | — | 4 | 4 | no | — |
| 106 | #11765865 | — | 4 | 1 | no | — |
| 107 | #11765865 | — | 4 | 1 | no | — |
| 108 | #11765864 | — | 2 | 4 | no | — |
| 109 | #11765864 | — | 4 | 2 | no | — |
| 110 | #11765864 | — | 4 | 4 | no | — |
| 111 | #11765864 | — | 4 | 4 | no | — |
| 112 | C2×Dic142 | — | 2 | 1 | no | — |
| 113 | C2×Dic142 | — | 4 | 1 | no | — |
| 114 | Q8×D71 | — | 2 | 4 | no | — |
| 115 | Q8×D71 | — | 4 | 2 | no | — |
| 116 | C2×D284 | — | 2 | 1 | no | — |
| 117 | C2×D284 | — | 4 | 1 | no | — |
| 118 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 119 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 120 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 121 | D4×D71 | — | 2 | 4 | no | — |
| 122 | D4×D71 | — | 4 | 2 | no | — |
| 123 | D4×D71 | — | 4 | 4 | no | — |
| 124 | D4×D71 | — | 4 | 4 | no | — |
| 125 | C22×Dic71 | — | 4 | 1 | no | — |
| 126 | C22×Dic71 | SD16 | 1 | 1 | yes | characteristic |
| 127 | C2×C4×D71 | — | 2 | 1 | no | — |
| 128 | C2×C4×D71 | — | 2 | 1 | no | — |
| 129 | C2×C4×D71 | — | 2 | 1 | no | — |
| 130 | C2×C4×D71 | — | 2 | 1 | no | — |
| 131 | C2×C4×D71 | — | 4 | 4 | no | — |
| 132 | C2×C4×D71 | — | 4 | 4 | no | — |
| 133 | C2×C4×D71 | — | 4 | 1 | no | — |
| 134 | C2×C4×D71 | — | 4 | 1 | no | — |
| 135 | C2×C4×D71 | — | 4 | 1 | no | — |
| 136 | C2×C4×D71 | C22⋊C4 | 1 | 2 | yes | — |
| 137 | C2×C4×D71 | D8 | 1 | 2 | yes | — |
| 138 | Dic284 | — | 2 | 1 | no | — |
| 139 | Dic284 | C22⋊C4 | 1 | 2 | yes | — |
| 140 | #11765855 | — | 2 | 4 | no | — |
| 141 | #11765854 | — | 2 | 2 | no | — |
| 142 | #11765854 | — | 2 | 2 | no | — |
| 143 | #11765853 | — | 2 | 4 | no | — |
| 144 | #11765852 | — | 2 | 4 | no | — |
| 145 | D568 | — | 2 | 1 | no | — |
| 146 | D568 | C22⋊C4 | 1 | 2 | yes | — |
| 147 | #11765850 | — | 2 | 4 | no | — |
| 148 | #11765849 | — | 4 | 1 | no | — |
| 149 | #11765849 | — | 4 | 1 | no | — |
| 150 | #11765848 | — | 2 | 2 | no | — |
| 151 | #11765848 | — | 2 | 2 | no | — |
| 152 | #11765848 | — | 2 | 2 | no | — |
| 153 | #11765848 | — | 2 | 2 | no | — |
| 154 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 155 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 156 | C2×C71⋊C8 | — | 4 | 1 | no | — |
| 157 | C2×C71⋊C8 | C22⋊C4 | 1 | 2 | yes | — |
| 158 | C71⋊C16 | — | 4 | 1 | no | — |
| 159 | #41×C71 | — | 2 | 2 | no | — |
| 160 | #41×C71 | — | 2 | 2 | no | — |
| 161 | #41×C71 | — | 4 | 1 | no | — |
| 162 | #41×C71 | — | 4 | 1 | no | — |
| 163 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 164 | C2×D4×C71 | — | 2 | 1 | no | — |
| 165 | C2×D4×C71 | — | 4 | 1 | no | — |
| 166 | C22×C4×C71 | — | 4 | 1 | no | — |
| 167 | C22×C4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | Q16×C71 | — | 2 | 1 | no | — |
| 169 | Q16×C71 | C22⋊C4 | 1 | 2 | yes | — |
| 170 | SD16×C71 | — | 2 | 2 | no | — |
| 171 | SD16×C71 | — | 2 | 2 | no | — |
| 172 | D8×C71 | — | 2 | 1 | no | — |
| 173 | D8×C71 | C22⋊C4 | 1 | 2 | yes | — |
| 174 | M16×C71 | — | 4 | 1 | no | — |
| 175 | M16×C71 | — | 4 | 1 | no | — |
| 176 | C2×C8×C71 | — | 4 | 1 | no | — |
| 177 | C2×C8×C71 | C22×C4 | 1 | 1 | yes | characteristic |
| 178 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 179 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C2×C8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C16×C71 | — | 4 | 1 | no | — |
| 184 | C23×C71 | — | 4 | 1 | no | — |
| 185 | C23×C71 | C2×SD16 | 1 | 1 | yes | characteristic |
| 186 | C22×D71 | — | 2 | 1 | no | — |
| 187 | C22×D71 | — | 2 | 1 | no | — |
| 188 | C22×D71 | — | 4 | 4 | no | — |
| 189 | C22×D71 | — | 4 | 1 | no | — |
| 190 | C22×D71 | — | 8 | 1 | no | — |
| 191 | C22×D71 | — | 8 | 4 | no | — |
| 192 | C22×D71 | #102 | 1 | 2 | yes | — |
| 193 | Q8×C71 | — | 2 | 2 | no | — |
| 194 | Q8×C71 | — | 4 | 1 | no | — |
| 195 | D4×C71 | — | 2 | 2 | no | — |
| 196 | D4×C71 | — | 4 | 2 | no | — |
| 197 | D4×C71 | — | 4 | 2 | no | — |
| 198 | D4×C71 | — | 4 | 1 | no | — |
| 199 | C2×C4×C71 | — | 4 | 1 | no | — |
| 200 | C2×C4×C71 | — | 4 | 2 | no | — |
| 201 | C2×C4×C71 | — | 4 | 2 | no | — |
| 202 | C2×C4×C71 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 203 | C2×C4×C71 | #120 | 1 | 1 | yes | characteristic |
| 204 | C2×C4×C71 | #120 | 1 | 1 | yes | characteristic |
| 205 | C2×C4×C71 | C2×D8 | 1 | 1 | yes | characteristic |
| 206 | C2×C4×C71 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 207 | C2×C4×C71 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 208 | C22⋊D71 | — | 4 | 4 | no | — |
| 209 | C22⋊D71 | — | 4 | 4 | no | — |
| 210 | C22⋊D71 | — | 4 | 2 | no | — |
| 211 | C22⋊D71 | — | 4 | 2 | no | — |
| 212 | C2×Dic71 | — | 2 | 1 | no | — |
| 213 | C2×Dic71 | — | 2 | 1 | no | — |
| 214 | C2×Dic71 | — | 4 | 4 | no | — |
| 215 | C2×Dic71 | — | 4 | 1 | no | — |
| 216 | C2×Dic71 | #102 | 1 | 2 | yes | — |
| 217 | D284 | — | 2 | 2 | no | — |
| 218 | D284 | — | 4 | 4 | no | — |
| 219 | D284 | — | 4 | 1 | no | — |
| 220 | C4×D71 | — | 2 | 2 | no | — |
| 221 | C4×D71 | — | 2 | 2 | no | — |
| 222 | C4×D71 | — | 2 | 2 | no | — |
| 223 | C4×D71 | — | 2 | 2 | no | — |
| 224 | C4×D71 | — | 4 | 4 | no | — |
| 225 | C4×D71 | — | 4 | 4 | no | — |
| 226 | C4×D71 | — | 4 | 2 | no | — |
| 227 | C4×D71 | — | 4 | 2 | no | — |
| 228 | Dic142 | — | 2 | 2 | no | — |
| 229 | Dic142 | — | 4 | 4 | no | — |
| 230 | Dic142 | — | 4 | 1 | no | — |
| 231 | C8×C71 | — | 8 | 1 | no | — |
| 232 | C8×C71 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 233 | C8×C71 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 234 | C8×C71 | #120 | 1 | 1 | yes | characteristic |
| 235 | C8×C71 | #120 | 1 | 1 | yes | characteristic |
| 236 | C71⋊C8 | — | 2 | 2 | no | — |
| 237 | C71⋊C8 | — | 8 | 1 | no | — |
| 238 | C22×C71 | — | 4 | 1 | no | — |
| 239 | C22×C71 | — | 4 | 2 | no | — |
| 240 | C22×C71 | — | 8 | 2 | no | — |
| 241 | C22×C71 | C2×#102 | 1 | 1 | yes | characteristic |
| 242 | C22×C71 | #450 | 1 | 1 | yes | characteristic |
| 243 | C22×C71 | #450 | 1 | 1 | yes | characteristic |
| 244 | C2×D71 | — | 2 | 2 | no | — |
| 245 | C2×D71 | — | 4 | 2 | no | — |
| 246 | C2×D71 | — | 4 | 2 | no | — |
| 247 | C2×D71 | — | 4 | 2 | no | — |
| 248 | C2×D71 | — | 8 | 1 | no | — |
| 249 | C2×D71 | — | 8 | 8 | no | — |
| 250 | C2×D71 | — | 8 | 2 | no | — |
| 251 | C4×C71 | — | 4 | 2 | no | — |
| 252 | C4×C71 | #379 | 1 | 1 | yes | characteristic |
| 253 | C4×C71 | #418 | 1 | 1 | yes | characteristic |
| 254 | C4×C71 | #447 | 1 | 1 | yes | characteristic |
| 255 | C4×C71 | #447 | 1 | 1 | yes | characteristic |
| 256 | Dic71 | — | 2 | 2 | no | — |
| 257 | Dic71 | — | 4 | 2 | no | — |
| 258 | #12740 | — | 71 | 1 | no | maximal, Sylow |
| 259 | C2×C71 | — | 2 | 1 | no | — |
| 260 | C2×C71 | — | 2 | 1 | no | — |
| 261 | C2×C71 | — | 2 | 1 | no | — |
| 262 | C2×C71 | — | 8 | 2 | no | — |
| 263 | C2×C71 | #1786 | 1 | 1 | yes | characteristic |
| 264 | D71 | — | 4 | 2 | no | — |
| 265 | D71 | — | 8 | 2 | no | — |
| 266 | C2×#575 | — | 71 | 1 | no | — |
| 267 | #2148 | — | 71 | 1 | no | — |
| 268 | #2148 | D71 | 1 | 1 | yes | characteristic, complemented |
| 269 | #2143 | — | 71 | 1 | no | — |
| 270 | #2143 | — | 71 | 1 | no | — |
| 271 | C2×#349 | — | 71 | 1 | no | — |
| 272 | #1811 | — | 71 | 1 | no | — |
| 273 | C71 | #12740 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 274 | C22×#41 | — | 142 | 1 | no | — |
| 275 | #575 | — | 71 | 4 | no | — |
| 276 | #575 | — | 142 | 2 | no | — |
| 277 | #575 | — | 142 | 2 | no | — |
| 278 | #575 | — | 142 | 2 | no | — |
| 279 | C2×#137 | — | 142 | 1 | no | — |
| 280 | C2×#137 | — | 142 | 1 | no | — |
| 281 | C2×AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 282 | C2×AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 283 | C2×#135 | — | 71 | 1 | no | — |
| 284 | C2×#135 | — | 142 | 1 | no | — |
| 285 | C2×#135 | C2×D71 | 1 | 1 | yes | characteristic |
| 286 | C22×M16 | — | 71 | 1 | no | — |
| 287 | C2×M32 | — | 71 | 1 | no | — |
| 288 | C2×M32 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 289 | C2×#108 | — | 71 | 1 | no | — |
| 290 | C2×#108 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 291 | #407 | — | 142 | 1 | no | — |
| 292 | #362 | — | 2 | 1 | no | — |
| 293 | #362 | — | 142 | 1 | no | — |
| 294 | #361 | — | 2 | 1 | no | — |
| 295 | #361 | — | 142 | 1 | no | — |
| 296 | #359 | — | 142 | 2 | no | — |
| 297 | #359 | — | 142 | 2 | no | — |
| 298 | #349 | — | 142 | 2 | no | — |
| 299 | #341 | — | 142 | 1 | no | — |
| 300 | C2×#41 | — | 2 | 1 | no | — |
| 301 | C2×#41 | — | 284 | 1 | no | — |
| 302 | C2×#41 | — | 284 | 1 | no | — |
| 303 | C2×#41 | — | 284 | 2 | no | — |
| 304 | C2×#41 | — | 284 | 2 | no | — |
| 305 | C2×#41 | — | 142 | 4 | no | — |
| 306 | C2×#41 | — | 142 | 1 | no | — |
| 307 | C2×#41 | — | 142 | 1 | no | — |
| 308 | C2×#41 | — | 142 | 4 | no | — |
| 309 | C2×#41 | — | 142 | 1 | no | — |
| 310 | C22×Q8 | — | 142 | 1 | no | — |
| 311 | C22×D4 | — | 284 | 1 | no | — |
| 312 | C22×D4 | — | 142 | 1 | no | — |
| 313 | C23×C4 | — | 284 | 1 | no | — |
| 314 | C23×C4 | — | 71 | 1 | no | — |
| 315 | #137 | — | 142 | 4 | no | — |
| 316 | #137 | — | 142 | 4 | no | — |
| 317 | #137 | — | 142 | 4 | no | — |
| 318 | #137 | — | 142 | 4 | no | — |
| 319 | AGL(1,ℤ/8) | — | 142 | 4 | no | — |
| 320 | AGL(1,ℤ/8) | — | 142 | 4 | no | — |
| 321 | AGL(1,ℤ/8) | — | 142 | 4 | no | — |
| 322 | AGL(1,ℤ/8) | — | 142 | 4 | no | — |
| 323 | #135 | — | 2 | 1 | no | — |
| 324 | #135 | — | 2 | 1 | no | — |
| 325 | #135 | — | 71 | 2 | no | — |
| 326 | #135 | — | 71 | 2 | no | — |
| 327 | #135 | — | 142 | 4 | no | — |
| 328 | #135 | — | 142 | 4 | no | — |
| 329 | #135 | — | 142 | 1 | no | — |
| 330 | #135 | — | 142 | 1 | no | — |
| 331 | #135 | C4×D71 | 1 | 2 | yes | — |
| 332 | #135 | D284 | 1 | 2 | yes | — |
| 333 | C2×Q16 | — | 71 | 1 | no | — |
| 334 | C2×Q16 | — | 142 | 1 | no | — |
| 335 | C2×Q16 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 336 | C2×SD16 | — | 2 | 1 | no | — |
| 337 | C2×SD16 | — | 142 | 1 | no | — |
| 338 | C2×SD16 | — | 142 | 1 | no | — |
| 339 | C2×SD16 | — | 142 | 1 | no | — |
| 340 | C2×D8 | — | 71 | 1 | no | — |
| 341 | C2×D8 | — | 142 | 1 | no | — |
| 342 | C2×D8 | C22⋊D71 | 1 | 1 | yes | characteristic |
| 343 | C2×M16 | — | 2 | 1 | no | — |
| 344 | C2×M16 | — | 71 | 2 | no | — |
| 345 | C2×M16 | — | 71 | 2 | no | — |
| 346 | C2×M16 | — | 142 | 1 | no | — |
| 347 | C2×M16 | — | 142 | 1 | no | — |
| 348 | C2×M16 | — | 142 | 1 | no | — |
| 349 | C2×M16 | — | 142 | 1 | no | — |
| 350 | C2×M16 | — | 142 | 1 | no | — |
| 351 | C22×C8 | — | 71 | 1 | no | — |
| 352 | C22×C8 | C22×D71 | 1 | 1 | yes | characteristic |
| 353 | M32 | — | 2 | 1 | no | — |
| 354 | M32 | — | 2 | 1 | no | — |
| 355 | M32 | — | 142 | 1 | no | — |
| 356 | M32 | — | 142 | 1 | no | — |
| 357 | C2×C16 | — | 2 | 1 | no | — |
| 358 | C2×C16 | — | 142 | 1 | no | — |
| 359 | #108 | — | 2 | 1 | no | — |
| 360 | #108 | — | 2 | 1 | no | — |
| 361 | #108 | — | 142 | 1 | no | — |
| 362 | #108 | — | 142 | 1 | no | — |
| 363 | C22⋊C8 | — | 284 | 2 | no | — |
| 364 | C24 | — | 284 | 1 | no | — |
| 365 | C24 | — | 71 | 1 | no | — |
| 366 | #41 | — | 2 | 2 | no | — |
| 367 | #41 | — | 2 | 2 | no | — |
| 368 | #41 | — | 4 | 1 | no | — |
| 369 | #41 | — | 4 | 1 | no | — |
| 370 | #41 | — | 284 | 4 | no | — |
| 371 | #41 | — | 284 | 4 | no | — |
| 372 | #41 | — | 284 | 4 | no | — |
| 373 | #41 | — | 284 | 4 | no | — |
| 374 | #41 | — | 284 | 2 | no | — |
| 375 | #41 | — | 284 | 2 | no | — |
| 376 | #41 | — | 284 | 1 | no | — |
| 377 | #41 | — | 284 | 1 | no | — |
| 378 | #41 | — | 142 | 4 | no | — |
| 379 | #41 | — | 142 | 4 | no | — |
| 380 | #41 | — | 142 | 2 | no | — |
| 381 | #41 | — | 142 | 2 | no | — |
| 382 | C2×Q8 | — | 2 | 1 | no | — |
| 383 | C2×Q8 | — | 284 | 1 | no | — |
| 384 | C2×Q8 | — | 284 | 2 | no | — |
| 385 | C2×Q8 | — | 142 | 4 | no | — |
| 386 | C2×Q8 | — | 142 | 1 | no | — |
| 387 | C2×D4 | — | 2 | 1 | no | — |
| 388 | C2×D4 | — | 4 | 1 | no | — |
| 389 | C2×D4 | — | 284 | 1 | no | — |
| 390 | C2×D4 | — | 284 | 4 | no | — |
| 391 | C2×D4 | — | 284 | 4 | no | — |
| 392 | C2×D4 | — | 284 | 1 | no | — |
| 393 | C2×D4 | — | 284 | 1 | no | — |
| 394 | C2×D4 | — | 284 | 2 | no | — |
| 395 | C2×D4 | — | 284 | 1 | no | — |
| 396 | C2×D4 | — | 142 | 4 | no | — |
| 397 | C2×D4 | — | 142 | 1 | no | — |
| 398 | C22×C4 | — | 4 | 1 | no | — |
| 399 | C22×C4 | — | 284 | 1 | no | — |
| 400 | C22×C4 | — | 284 | 1 | no | — |
| 401 | C22×C4 | — | 284 | 4 | no | — |
| 402 | C22×C4 | — | 284 | 4 | no | — |
| 403 | C22×C4 | — | 284 | 1 | no | — |
| 404 | C22×C4 | — | 284 | 1 | no | — |
| 405 | C22×C4 | — | 71 | 1 | no | — |
| 406 | C22×C4 | — | 71 | 2 | no | — |
| 407 | C22×C4 | — | 71 | 2 | no | — |
| 408 | C22×C4 | — | 142 | 1 | no | — |
| 409 | C22×C4 | — | 142 | 1 | no | — |
| 410 | C22×C4 | — | 142 | 1 | no | — |
| 411 | C22×C4 | — | 142 | 1 | no | — |
| 412 | C22×C4 | D4×D71 | 1 | 1 | yes | characteristic |
| 413 | Q16 | — | 2 | 1 | no | — |
| 414 | Q16 | — | 71 | 2 | no | — |
| 415 | Q16 | — | 142 | 4 | no | — |
| 416 | Q16 | — | 142 | 1 | no | — |
| 417 | Q16 | (C2×D71)⋊C4 | 1 | 2 | yes | — |
| 418 | SD16 | — | 2 | 2 | no | — |
| 419 | SD16 | — | 2 | 2 | no | — |
| 420 | SD16 | — | 142 | 4 | no | — |
| 421 | SD16 | — | 142 | 4 | no | — |
| 422 | SD16 | — | 142 | 2 | no | — |
| 423 | SD16 | — | 142 | 2 | no | — |
| 424 | D8 | — | 2 | 1 | no | — |
| 425 | D8 | — | 71 | 2 | no | — |
| 426 | D8 | — | 142 | 4 | no | — |
| 427 | D8 | — | 142 | 1 | no | — |
| 428 | D8 | (C2×D71)⋊C4 | 1 | 2 | yes | — |
| 429 | M16 | — | 4 | 1 | no | — |
| 430 | M16 | — | 4 | 1 | no | — |
| 431 | M16 | — | 284 | 1 | no | — |
| 432 | M16 | — | 284 | 1 | no | — |
| 433 | M16 | — | 142 | 2 | no | — |
| 434 | M16 | — | 142 | 2 | no | — |
| 435 | M16 | — | 142 | 2 | no | — |
| 436 | M16 | — | 142 | 2 | no | — |
| 437 | C2×C8 | — | 4 | 1 | no | — |
| 438 | C2×C8 | — | 284 | 1 | no | — |
| 439 | C2×C8 | — | 71 | 2 | no | — |
| 440 | C2×C8 | — | 142 | 1 | no | — |
| 441 | C2×C8 | — | 142 | 1 | no | — |
| 442 | C2×C8 | C2×C4×D71 | 1 | 1 | yes | characteristic |
| 443 | C2×C8 | D4×D71 | 1 | 1 | yes | characteristic |
| 444 | C2×C8 | D4×D71 | 1 | 1 | yes | characteristic |
| 445 | C2×C8 | D4×D71 | 1 | 1 | yes | characteristic |
| 446 | C2×C8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 447 | C2×C8 | C2×D284 | 1 | 1 | yes | characteristic |
| 448 | C16 | — | 4 | 1 | no | — |
| 449 | C16 | — | 284 | 1 | no | — |
| 450 | C23 | — | 4 | 1 | no | — |
| 451 | C23 | — | 284 | 4 | no | — |
| 452 | C23 | — | 284 | 1 | no | — |
| 453 | C23 | — | 568 | 1 | no | — |
| 454 | C23 | — | 568 | 4 | no | — |
| 455 | C23 | — | 71 | 2 | no | — |
| 456 | C23 | — | 142 | 1 | no | — |
| 457 | C23 | — | 142 | 1 | no | — |
| 458 | C23 | SD16×D71 | 1 | 1 | yes | characteristic |
| 459 | Q8 | — | 2 | 2 | no | — |
| 460 | Q8 | — | 4 | 1 | no | — |
| 461 | Q8 | — | 284 | 4 | no | — |
| 462 | Q8 | — | 284 | 1 | no | — |
| 463 | Q8 | — | 142 | 2 | no | — |
| 464 | D4 | — | 2 | 2 | no | — |
| 465 | D4 | — | 4 | 2 | no | — |
| 466 | D4 | — | 4 | 2 | no | — |
| 467 | D4 | — | 4 | 1 | no | — |
| 468 | D4 | — | 284 | 4 | no | — |
| 469 | D4 | — | 284 | 4 | no | — |
| 470 | D4 | — | 284 | 2 | no | — |
| 471 | D4 | — | 284 | 2 | no | — |
| 472 | D4 | — | 284 | 4 | no | — |
| 473 | D4 | — | 284 | 1 | no | — |
| 474 | D4 | — | 142 | 2 | no | — |
| 475 | C2×C4 | — | 4 | 1 | no | — |
| 476 | C2×C4 | — | 4 | 2 | no | — |
| 477 | C2×C4 | — | 4 | 2 | no | — |
| 478 | C2×C4 | — | 284 | 4 | no | — |
| 479 | C2×C4 | — | 284 | 4 | no | — |
| 480 | C2×C4 | — | 284 | 1 | no | — |
| 481 | C2×C4 | — | 284 | 4 | no | — |
| 482 | C2×C4 | — | 284 | 2 | no | — |
| 483 | C2×C4 | — | 284 | 2 | no | — |
| 484 | C2×C4 | — | 71 | 2 | no | — |
| 485 | C2×C4 | — | 142 | 1 | no | — |
| 486 | C2×C4 | — | 142 | 1 | no | — |
| 487 | C2×C4 | — | 142 | 2 | no | — |
| 488 | C2×C4 | — | 142 | 2 | no | — |
| 489 | C2×C4 | — | 142 | 2 | no | — |
| 490 | C2×C4 | — | 142 | 2 | no | — |
| 491 | C2×C4 | C22⋊C4×D71 | 1 | 1 | yes | characteristic |
| 492 | C2×C4 | #14556096 | 1 | 1 | yes | characteristic |
| 493 | C2×C4 | #14556098 | 1 | 1 | yes | characteristic |
| 494 | C2×C4 | D8×D71 | 1 | 1 | yes | characteristic |
| 495 | C2×C4 | #14556152 | 1 | 1 | yes | characteristic |
| 496 | C2×C4 | #14556155 | 1 | 1 | yes | characteristic |
| 497 | C8 | — | 8 | 1 | no | — |
| 498 | C8 | — | 568 | 1 | no | — |
| 499 | C8 | — | 142 | 2 | no | — |
| 500 | C8 | C22⋊C4×D71 | 1 | 1 | yes | characteristic |
| 501 | C8 | C2×(C2×D71)⋊C4 | 1 | 1 | yes | characteristic |
| 502 | C8 | #14556096 | 1 | 1 | yes | characteristic |
| 503 | C8 | #14556098 | 1 | 1 | yes | characteristic |
| 504 | C22 | — | 4 | 1 | no | — |
| 505 | C22 | — | 4 | 2 | no | — |
| 506 | C22 | — | 8 | 2 | no | — |
| 507 | C22 | — | 284 | 2 | no | — |
| 508 | C22 | — | 284 | 2 | no | — |
| 509 | C22 | — | 284 | 2 | no | — |
| 510 | C22 | — | 568 | 1 | no | — |
| 511 | C22 | — | 568 | 2 | no | — |
| 512 | C22 | — | 568 | 8 | no | — |
| 513 | C22 | — | 142 | 2 | no | — |
| 514 | C22 | #102×D71 | 1 | 1 | yes | characteristic |
| 515 | C22 | #17986148 | 1 | 1 | yes | characteristic |
| 516 | C22 | #17986151 | 1 | 1 | yes | characteristic |
| 517 | C4 | — | 4 | 2 | no | — |
| 518 | C4 | — | 284 | 2 | no | — |
| 519 | C4 | — | 142 | 2 | no | — |
| 520 | C4 | #17985854 | 1 | 1 | yes | characteristic |
| 521 | C4 | #17986002 | 1 | 1 | yes | characteristic |
| 522 | C4 | #17986131 | 1 | 1 | yes | characteristic |
| 523 | C4 | #17986134 | 1 | 1 | yes | characteristic |
| 524 | C2 | — | 2 | 1 | no | — |
| 525 | C2 | — | 2 | 1 | no | — |
| 526 | C2 | — | 2 | 1 | no | — |
| 527 | C2 | — | 8 | 2 | no | — |
| 528 | C2 | — | 284 | 2 | no | — |
| 529 | C2 | — | 568 | 2 | no | — |
| 530 | C2 | #22588269 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta