| 1 | #500×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #498×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #492×D53 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #492×D53 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #487×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #486×D53 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #20274340 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20274339 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20274338 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20274337 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20274336 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20274335 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #20274334 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #322×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#1714 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×SD16×D53 | — | 2 | 2 | no | — |
| 17 | C2×SD16×D53 | — | 2 | 2 | no | — |
| 18 | C4⋊Q8×D53 | C22 | 1 | 1 | yes | characteristic |
| 19 | C4⋊Q8×D53 | C22 | 1 | 1 | yes | characteristic |
| 20 | C4⋊Q8×D53 | C22 | 1 | 1 | yes | characteristic |
| 21 | #127×D53 | C22 | 1 | 1 | yes | characteristic |
| 22 | #16811028 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #16811027 | — | 2 | 2 | no | — |
| 24 | #16811026 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #16811026 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #16811021 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #16811020 | — | 2 | 2 | no | — |
| 28 | #16811019 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #16811019 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #16810997 | C22 | 1 | 1 | yes | characteristic |
| 31 | #16810997 | C22 | 1 | 1 | yes | characteristic |
| 32 | #16810996 | C22 | 1 | 1 | yes | characteristic |
| 33 | #16810996 | C22 | 1 | 1 | yes | characteristic |
| 34 | #16810995 | C22 | 1 | 1 | yes | characteristic |
| 35 | #16810995 | C22 | 1 | 1 | yes | characteristic |
| 36 | #16810994 | — | 2 | 2 | no | — |
| 37 | #16810994 | — | 2 | 2 | no | — |
| 38 | #16810975 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #16810974 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #16810973 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #16810972 | — | 2 | 2 | no | — |
| 42 | #16810971 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16810970 | C22 | 1 | 1 | yes | characteristic |
| 44 | #16810969 | C22 | 1 | 1 | yes | characteristic |
| 45 | #16810968 | — | 2 | 2 | no | — |
| 46 | #107×D53 | — | 2 | 2 | no | — |
| 47 | #106×D53 | — | 2 | 2 | no | — |
| 48 | #103×D53 | — | 2 | 2 | no | — |
| 49 | #102×D53 | — | 2 | 2 | no | — |
| 50 | C4×C8×D53 | C22 | 1 | 1 | yes | characteristic |
| 51 | C4×C8×D53 | C22 | 1 | 1 | yes | characteristic |
| 52 | C4×C8×D53 | C22 | 1 | 1 | yes | characteristic |
| 53 | #16810345 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #16810345 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #16810344 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C53×#500 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C53×#498 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C53×#492 | C22 | 1 | 1 | yes | characteristic |
| 59 | C53×#492 | C22 | 1 | 1 | yes | characteristic |
| 60 | C53×#487 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C53×#486 | C22 | 1 | 1 | yes | characteristic |
| 62 | C53×#322 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 64 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 65 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 66 | C2×D4×D53 | — | 2 | 1 | no | — |
| 67 | C2×D4×D53 | — | 2 | 1 | no | — |
| 68 | C2×D4×D53 | — | 2 | 1 | no | — |
| 69 | C2×#11719913 | — | 2 | 2 | no | — |
| 70 | C2×#11719913 | — | 2 | 2 | no | — |
| 71 | C2×#11719923 | — | 2 | 2 | no | — |
| 72 | C2×#11719923 | — | 2 | 2 | no | — |
| 73 | C2×#11719924 | — | 2 | 2 | no | — |
| 74 | C2×#11719924 | — | 2 | 2 | no | — |
| 75 | SD16×D53 | — | 4 | 8 | no | — |
| 76 | SD16×D53 | — | 4 | 8 | no | — |
| 77 | C2×C8×D53 | D4 | 1 | 2 | yes | — |
| 78 | C2×C8×D53 | D4 | 1 | 2 | yes | — |
| 79 | C2×C8×D53 | D4 | 1 | 2 | yes | — |
| 80 | #13133217 | C23 | 1 | 1 | yes | characteristic |
| 81 | #13133217 | C23 | 1 | 1 | yes | characteristic |
| 82 | #13133217 | C23 | 1 | 1 | yes | characteristic |
| 83 | #13133216 | — | 2 | 1 | no | — |
| 84 | #13133216 | — | 2 | 1 | no | — |
| 85 | #13133216 | — | 2 | 1 | no | — |
| 86 | #13133216 | — | 2 | 1 | no | — |
| 87 | #13133216 | — | 2 | 1 | no | — |
| 88 | #13133216 | — | 2 | 1 | no | — |
| 89 | #13133215 | — | 2 | 1 | no | — |
| 90 | #13133215 | — | 2 | 1 | no | — |
| 91 | #13133215 | — | 2 | 1 | no | — |
| 92 | #13133214 | C23 | 1 | 1 | yes | characteristic |
| 93 | #13133213 | — | 2 | 1 | no | — |
| 94 | #13133213 | — | 2 | 1 | no | — |
| 95 | #13133213 | — | 2 | 1 | no | — |
| 96 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 97 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 98 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 99 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 100 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 101 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 102 | C42×D53 | C23 | 1 | 1 | yes | characteristic |
| 103 | #13133151 | — | 2 | 2 | no | — |
| 104 | #13133150 | — | 2 | 2 | no | — |
| 105 | #13133150 | — | 2 | 2 | no | — |
| 106 | #13133149 | — | 2 | 2 | no | — |
| 107 | #13133148 | — | 2 | 2 | no | — |
| 108 | #13133148 | — | 2 | 2 | no | — |
| 109 | #13133142 | — | 2 | 2 | no | — |
| 110 | #13133141 | — | 2 | 2 | no | — |
| 111 | #13133140 | — | 2 | 2 | no | — |
| 112 | #13133139 | — | 2 | 2 | no | — |
| 113 | #13133138 | — | 2 | 2 | no | — |
| 114 | #13133137 | — | 2 | 2 | no | — |
| 115 | C4×#88322 | C23 | 1 | 1 | yes | characteristic |
| 116 | C4×#88322 | C23 | 1 | 1 | yes | characteristic |
| 117 | C4×#88322 | C23 | 1 | 1 | yes | characteristic |
| 118 | C8×Dic53 | D4 | 1 | 2 | yes | — |
| 119 | C8×Dic53 | D4 | 1 | 2 | yes | — |
| 120 | C8×Dic53 | D4 | 1 | 2 | yes | — |
| 121 | C2×SD16×C53 | — | 2 | 2 | no | — |
| 122 | C2×SD16×C53 | — | 2 | 2 | no | — |
| 123 | C4⋊Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 124 | C4⋊Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 125 | C4⋊Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 126 | #127×C53 | C23 | 1 | 1 | yes | characteristic |
| 127 | #107×C53 | — | 2 | 2 | no | — |
| 128 | #106×C53 | — | 2 | 2 | no | — |
| 129 | #103×C53 | — | 2 | 2 | no | — |
| 130 | #102×C53 | — | 2 | 2 | no | — |
| 131 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 132 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 133 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 134 | C23×D53 | — | 4 | 1 | no | — |
| 135 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 136 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 137 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 138 | C2×D4×C53 | — | 2 | 1 | no | — |
| 139 | C2×D4×C53 | — | 2 | 1 | no | — |
| 140 | C2×D4×C53 | — | 2 | 1 | no | — |
| 141 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 142 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 143 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 144 | Q8×D53 | — | 4 | 4 | no | — |
| 145 | Q8×D53 | — | 4 | 4 | no | — |
| 146 | Q8×D53 | — | 4 | 4 | no | — |
| 147 | D4×D53 | — | 4 | 4 | no | — |
| 148 | D4×D53 | — | 4 | 4 | no | — |
| 149 | D4×D53 | — | 4 | 4 | no | — |
| 150 | C2×D212 | — | 2 | 1 | no | — |
| 151 | C2×D212 | — | 2 | 1 | no | — |
| 152 | C2×D212 | — | 2 | 1 | no | — |
| 153 | C2×C4×D53 | — | 4 | 1 | no | — |
| 154 | C2×C4×D53 | — | 4 | 1 | no | — |
| 155 | C2×C4×D53 | — | 4 | 1 | no | — |
| 156 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 157 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 158 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | C2×Dic106 | — | 2 | 1 | no | — |
| 160 | C2×Dic106 | — | 2 | 1 | no | — |
| 161 | C2×Dic106 | — | 2 | 1 | no | — |
| 162 | C2×Dic106 | — | 4 | 1 | no | — |
| 163 | C2×Dic106 | — | 4 | 1 | no | — |
| 164 | C2×Dic106 | — | 4 | 1 | no | — |
| 165 | SD16×C53 | — | 4 | 4 | no | — |
| 166 | SD16×C53 | — | 4 | 4 | no | — |
| 167 | C2×C8×C53 | C2×D4 | 1 | 2 | yes | — |
| 168 | C2×C8×C53 | C2×D4 | 1 | 2 | yes | — |
| 169 | C2×C8×C53 | C2×D4 | 1 | 2 | yes | — |
| 170 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 171 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 172 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 173 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 174 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 175 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 176 | C42×C53 | C24 | 1 | 1 | yes | characteristic |
| 177 | #11719924 | — | 4 | 4 | no | — |
| 178 | #11719924 | — | 4 | 4 | no | — |
| 179 | #11719923 | — | 4 | 4 | no | — |
| 180 | #11719923 | — | 4 | 4 | no | — |
| 181 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 182 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 183 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 184 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 185 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 186 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 187 | #11719919 | — | 4 | 1 | no | — |
| 188 | #11719919 | — | 4 | 1 | no | — |
| 189 | #11719919 | — | 4 | 1 | no | — |
| 190 | #11719919 | — | 4 | 1 | no | — |
| 191 | #11719919 | — | 4 | 1 | no | — |
| 192 | #11719919 | — | 4 | 1 | no | — |
| 193 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C2×#88322 | C2×D4 | 1 | 2 | yes | — |
| 197 | C2×#88322 | C2×D4 | 1 | 2 | yes | — |
| 198 | C2×#88322 | C2×D4 | 1 | 2 | yes | — |
| 199 | #11719913 | — | 4 | 4 | no | — |
| 200 | #11719913 | — | 4 | 4 | no | — |
| 201 | C8×D53 | — | 2 | 4 | no | — |
| 202 | C8×D53 | — | 2 | 4 | no | — |
| 203 | C8×D53 | SD16 | 1 | 8 | yes | complemented |
| 204 | C23×C53 | — | 4 | 1 | no | — |
| 205 | C22×D53 | — | 4 | 1 | no | — |
| 206 | C22×D53 | — | 8 | 2 | no | — |
| 207 | C22×D53 | — | 8 | 2 | no | — |
| 208 | C22×D53 | — | 8 | 2 | no | — |
| 209 | C22×D53 | #127 | 1 | 1 | yes | characteristic |
| 210 | Q8×C53 | — | 4 | 2 | no | — |
| 211 | Q8×C53 | — | 4 | 2 | no | — |
| 212 | Q8×C53 | — | 4 | 2 | no | — |
| 213 | D4×C53 | — | 4 | 2 | no | — |
| 214 | D4×C53 | — | 4 | 2 | no | — |
| 215 | D4×C53 | — | 4 | 2 | no | — |
| 216 | C2×C4×C53 | — | 4 | 1 | no | — |
| 217 | C2×C4×C53 | — | 4 | 1 | no | — |
| 218 | C2×C4×C53 | — | 4 | 1 | no | — |
| 219 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 220 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 221 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 222 | C22⋊D53 | — | 8 | 2 | no | — |
| 223 | C22⋊D53 | — | 8 | 2 | no | — |
| 224 | C22⋊D53 | — | 8 | 2 | no | — |
| 225 | C2×Dic53 | — | 4 | 1 | no | — |
| 226 | C2×Dic53 | — | 4 | 1 | no | — |
| 227 | C2×Dic53 | — | 4 | 1 | no | — |
| 228 | C2×Dic53 | #127 | 1 | 1 | yes | characteristic |
| 229 | C2×Dic53 | #127 | 1 | 1 | yes | characteristic |
| 230 | C2×Dic53 | #127 | 1 | 1 | yes | characteristic |
| 231 | D212 | — | 4 | 2 | no | — |
| 232 | D212 | — | 4 | 2 | no | — |
| 233 | D212 | — | 4 | 2 | no | — |
| 234 | C4×D53 | — | 8 | 2 | no | — |
| 235 | C4×D53 | — | 8 | 2 | no | — |
| 236 | C4×D53 | — | 8 | 2 | no | — |
| 237 | C4×D53 | C2×SD16 | 1 | 4 | yes | — |
| 238 | C4×D53 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 239 | C4×D53 | #137 | 1 | 4 | yes | — |
| 240 | Dic106 | — | 4 | 2 | no | — |
| 241 | Dic106 | — | 4 | 2 | no | — |
| 242 | Dic106 | — | 4 | 2 | no | — |
| 243 | Dic106 | — | 8 | 2 | no | — |
| 244 | Dic106 | — | 8 | 2 | no | — |
| 245 | Dic106 | — | 8 | 2 | no | — |
| 246 | C8×C53 | — | 2 | 2 | no | — |
| 247 | C8×C53 | — | 2 | 2 | no | — |
| 248 | C8×C53 | C2×SD16 | 1 | 4 | yes | complemented |
| 249 | #88322 | — | 2 | 2 | no | — |
| 250 | #88322 | — | 2 | 2 | no | — |
| 251 | #88322 | C2×SD16 | 1 | 4 | yes | complemented |
| 252 | C2×#1714 | — | 53 | 1 | no | maximal, Sylow |
| 253 | C22×C53 | — | 8 | 1 | no | — |
| 254 | C22×C53 | — | 8 | 1 | no | — |
| 255 | C22×C53 | — | 8 | 1 | no | — |
| 256 | C22×C53 | C2×#127 | 1 | 1 | yes | characteristic |
| 257 | C2×D53 | — | 8 | 1 | no | — |
| 258 | C2×D53 | — | 8 | 1 | no | — |
| 259 | C2×D53 | — | 8 | 1 | no | — |
| 260 | C2×D53 | — | 16 | 4 | no | — |
| 261 | C2×D53 | #492 | 1 | 2 | yes | — |
| 262 | C2×D53 | #496 | 1 | 2 | yes | — |
| 263 | C2×D53 | #497 | 1 | 2 | yes | — |
| 264 | C4×C53 | — | 8 | 1 | no | — |
| 265 | C4×C53 | — | 8 | 1 | no | — |
| 266 | C4×C53 | — | 8 | 1 | no | — |
| 267 | C4×C53 | C22×SD16 | 1 | 2 | yes | — |
| 268 | C4×C53 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 269 | C4×C53 | C2×#137 | 1 | 2 | yes | — |
| 270 | Dic53 | — | 8 | 1 | no | — |
| 271 | Dic53 | — | 8 | 1 | no | — |
| 272 | Dic53 | — | 8 | 1 | no | — |
| 273 | Dic53 | #492 | 1 | 2 | yes | — |
| 274 | Dic53 | #496 | 1 | 2 | yes | — |
| 275 | Dic53 | #497 | 1 | 2 | yes | — |
| 276 | C2×#500 | — | 53 | 1 | no | — |
| 277 | C2×#498 | — | 53 | 1 | no | — |
| 278 | C2×#492 | — | 53 | 1 | no | — |
| 279 | C2×#492 | — | 53 | 1 | no | — |
| 280 | C2×#487 | — | 53 | 1 | no | — |
| 281 | C2×#486 | — | 53 | 1 | no | — |
| 282 | #1714 | — | 53 | 1 | no | — |
| 283 | #1714 | — | 53 | 1 | no | — |
| 284 | #1714 | — | 53 | 1 | no | — |
| 285 | #1714 | — | 53 | 1 | no | — |
| 286 | #1714 | — | 53 | 1 | no | — |
| 287 | #1714 | — | 53 | 1 | no | — |
| 288 | #1714 | — | 53 | 1 | no | — |
| 289 | #1714 | D53 | 1 | 1 | yes | characteristic, direct product factor |
| 290 | C2×#322 | — | 53 | 1 | no | — |
| 291 | C2×C53 | — | 16 | 1 | no | — |
| 292 | C2×C53 | C2×#492 | 1 | 1 | yes | characteristic |
| 293 | C2×C53 | C2×#496 | 1 | 1 | yes | characteristic |
| 294 | C2×C53 | C2×#497 | 1 | 1 | yes | characteristic |
| 295 | D53 | — | 16 | 1 | no | — |
| 296 | D53 | #1714 | 1 | 4 | yes | direct product factor |
| 297 | C22×SD16 | — | 106 | 2 | no | — |
| 298 | C22×SD16 | — | 106 | 2 | no | — |
| 299 | C2×C4⋊Q8 | — | 53 | 1 | no | — |
| 300 | C2×C4⋊Q8 | — | 53 | 1 | no | — |
| 301 | C2×C4⋊Q8 | — | 53 | 1 | no | — |
| 302 | C2×#127 | — | 53 | 1 | no | — |
| 303 | #500 | — | 53 | 1 | no | — |
| 304 | #500 | — | 53 | 1 | no | — |
| 305 | #500 | — | 53 | 1 | no | — |
| 306 | #500 | — | 106 | 2 | no | — |
| 307 | #500 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 308 | #498 | — | 53 | 1 | no | — |
| 309 | #498 | — | 53 | 1 | no | — |
| 310 | #498 | — | 53 | 1 | no | — |
| 311 | #498 | — | 106 | 2 | no | — |
| 312 | #498 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 313 | #492 | — | 53 | 1 | no | — |
| 314 | #492 | — | 53 | 1 | no | — |
| 315 | #492 | — | 53 | 1 | no | — |
| 316 | #492 | — | 53 | 1 | no | — |
| 317 | #492 | — | 53 | 1 | no | — |
| 318 | #492 | — | 53 | 1 | no | — |
| 319 | #492 | — | 106 | 2 | no | — |
| 320 | #492 | — | 106 | 2 | no | — |
| 321 | #492 | C2×D53 | 1 | 1 | yes | characteristic |
| 322 | #492 | C2×D53 | 1 | 1 | yes | characteristic |
| 323 | #487 | — | 53 | 1 | no | — |
| 324 | #487 | — | 53 | 1 | no | — |
| 325 | #487 | — | 53 | 1 | no | — |
| 326 | #487 | — | 106 | 2 | no | — |
| 327 | #487 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 328 | #486 | — | 53 | 1 | no | — |
| 329 | #486 | — | 53 | 1 | no | — |
| 330 | #486 | — | 53 | 1 | no | — |
| 331 | #486 | — | 106 | 2 | no | — |
| 332 | #486 | C2×D53 | 1 | 1 | yes | characteristic |
| 333 | C2×#107 | — | 106 | 2 | no | — |
| 334 | C2×#106 | — | 106 | 2 | no | — |
| 335 | C2×#103 | — | 106 | 2 | no | — |
| 336 | C2×#102 | — | 106 | 2 | no | — |
| 337 | C2×C4×C8 | — | 53 | 1 | no | — |
| 338 | C2×C4×C8 | — | 53 | 1 | no | — |
| 339 | C2×C4×C8 | — | 53 | 1 | no | — |
| 340 | #322 | — | 53 | 1 | no | — |
| 341 | #322 | — | 53 | 1 | no | — |
| 342 | #322 | — | 53 | 1 | no | — |
| 343 | #322 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 344 | C53 | C2×#1714 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 345 | C22×Q8 | — | 106 | 1 | no | — |
| 346 | C22×Q8 | — | 106 | 1 | no | — |
| 347 | C22×Q8 | — | 106 | 1 | no | — |
| 348 | C22×D4 | — | 106 | 1 | no | — |
| 349 | C22×D4 | — | 106 | 1 | no | — |
| 350 | C22×D4 | — | 106 | 1 | no | — |
| 351 | C2×SD16 | — | 2 | 2 | no | — |
| 352 | C2×SD16 | — | 2 | 2 | no | — |
| 353 | C2×SD16 | — | 106 | 2 | no | — |
| 354 | C2×SD16 | — | 106 | 2 | no | — |
| 355 | C2×SD16 | — | 106 | 2 | no | — |
| 356 | C2×SD16 | — | 106 | 2 | no | — |
| 357 | C2×SD16 | — | 106 | 2 | no | — |
| 358 | C2×SD16 | — | 106 | 2 | no | — |
| 359 | C2×SD16 | — | 212 | 8 | no | — |
| 360 | C2×SD16 | — | 212 | 8 | no | — |
| 361 | C22×C8 | — | 53 | 2 | no | — |
| 362 | C22×C8 | — | 53 | 2 | no | — |
| 363 | C22×C8 | — | 53 | 2 | no | — |
| 364 | C4⋊Q8 | — | 53 | 1 | no | — |
| 365 | C4⋊Q8 | — | 53 | 1 | no | — |
| 366 | C4⋊Q8 | — | 53 | 1 | no | — |
| 367 | C4⋊Q8 | — | 106 | 1 | no | — |
| 368 | C4⋊Q8 | — | 106 | 1 | no | — |
| 369 | C4⋊Q8 | — | 106 | 1 | no | — |
| 370 | C4⋊Q8 | — | 106 | 1 | no | — |
| 371 | C4⋊Q8 | — | 106 | 1 | no | — |
| 372 | C4⋊Q8 | — | 106 | 1 | no | — |
| 373 | C4⋊Q8 | — | 106 | 1 | no | — |
| 374 | C4⋊Q8 | — | 106 | 1 | no | — |
| 375 | C4⋊Q8 | — | 106 | 1 | no | — |
| 376 | C4⋊Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 377 | C4⋊Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 378 | C4⋊Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 379 | #127 | — | 53 | 1 | no | — |
| 380 | #127 | — | 106 | 1 | no | — |
| 381 | #127 | — | 106 | 1 | no | — |
| 382 | #127 | — | 106 | 1 | no | — |
| 383 | #127 | C22×D53 | 1 | 1 | yes | characteristic |
| 384 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 385 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 386 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 387 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 388 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 389 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 390 | C2×C42 | — | 53 | 1 | no | — |
| 391 | #107 | — | 2 | 2 | no | — |
| 392 | #107 | — | 106 | 2 | no | — |
| 393 | #107 | — | 106 | 2 | no | — |
| 394 | #107 | — | 106 | 2 | no | — |
| 395 | #106 | — | 2 | 2 | no | — |
| 396 | #106 | — | 106 | 2 | no | — |
| 397 | #106 | — | 106 | 2 | no | — |
| 398 | #106 | — | 106 | 2 | no | — |
| 399 | #103 | — | 2 | 2 | no | — |
| 400 | #103 | — | 106 | 2 | no | — |
| 401 | #103 | — | 106 | 2 | no | — |
| 402 | #103 | — | 106 | 2 | no | — |
| 403 | #102 | — | 2 | 2 | no | — |
| 404 | #102 | — | 106 | 2 | no | — |
| 405 | #102 | — | 106 | 2 | no | — |
| 406 | #102 | — | 106 | 2 | no | — |
| 407 | C4×C8 | — | 53 | 2 | no | — |
| 408 | C4×C8 | — | 53 | 2 | no | — |
| 409 | C4×C8 | — | 53 | 2 | no | — |
| 410 | C4×C8 | — | 53 | 1 | no | — |
| 411 | C4×C8 | — | 53 | 1 | no | — |
| 412 | C4×C8 | — | 53 | 1 | no | — |
| 413 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 414 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 415 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 416 | C24 | — | 212 | 1 | no | — |
| 417 | C2×Q8 | — | 2 | 1 | no | — |
| 418 | C2×Q8 | — | 2 | 1 | no | — |
| 419 | C2×Q8 | — | 2 | 1 | no | — |
| 420 | C2×Q8 | — | 106 | 1 | no | — |
| 421 | C2×Q8 | — | 106 | 1 | no | — |
| 422 | C2×Q8 | — | 106 | 1 | no | — |
| 423 | C2×Q8 | — | 212 | 1 | no | — |
| 424 | C2×Q8 | — | 212 | 1 | no | — |
| 425 | C2×Q8 | — | 212 | 1 | no | — |
| 426 | C2×Q8 | — | 212 | 4 | no | — |
| 427 | C2×Q8 | — | 212 | 4 | no | — |
| 428 | C2×Q8 | — | 212 | 4 | no | — |
| 429 | C2×D4 | — | 2 | 1 | no | — |
| 430 | C2×D4 | — | 2 | 1 | no | — |
| 431 | C2×D4 | — | 2 | 1 | no | — |
| 432 | C2×D4 | — | 106 | 1 | no | — |
| 433 | C2×D4 | — | 106 | 1 | no | — |
| 434 | C2×D4 | — | 106 | 1 | no | — |
| 435 | C2×D4 | — | 212 | 4 | no | — |
| 436 | C2×D4 | — | 212 | 4 | no | — |
| 437 | C2×D4 | — | 212 | 4 | no | — |
| 438 | C2×D4 | — | 212 | 1 | no | — |
| 439 | C2×D4 | — | 212 | 1 | no | — |
| 440 | C2×D4 | — | 212 | 1 | no | — |
| 441 | C22×C4 | — | 53 | 1 | no | — |
| 442 | C22×C4 | — | 53 | 1 | no | — |
| 443 | C22×C4 | — | 53 | 1 | no | — |
| 444 | C22×C4 | — | 212 | 1 | no | — |
| 445 | C22×C4 | — | 212 | 1 | no | — |
| 446 | C22×C4 | — | 212 | 1 | no | — |
| 447 | SD16 | — | 4 | 4 | no | — |
| 448 | SD16 | — | 4 | 4 | no | — |
| 449 | SD16 | — | 212 | 4 | no | — |
| 450 | SD16 | — | 212 | 4 | no | — |
| 451 | SD16 | — | 212 | 4 | no | — |
| 452 | SD16 | — | 212 | 4 | no | — |
| 453 | SD16 | — | 212 | 4 | no | — |
| 454 | SD16 | — | 212 | 4 | no | — |
| 455 | C2×C8 | — | 53 | 2 | no | — |
| 456 | C2×C8 | — | 53 | 8 | no | — |
| 457 | C2×C8 | — | 53 | 2 | no | — |
| 458 | C2×C8 | — | 53 | 2 | no | — |
| 459 | C2×C8 | — | 106 | 4 | no | — |
| 460 | C2×C8 | — | 106 | 4 | no | — |
| 461 | C2×C8 | D4×D53 | 1 | 2 | yes | — |
| 462 | C2×C8 | D4×D53 | 1 | 2 | yes | — |
| 463 | C2×C8 | D4×D53 | 1 | 2 | yes | — |
| 464 | C4⋊C4 | — | 2 | 1 | no | — |
| 465 | C4⋊C4 | — | 2 | 1 | no | — |
| 466 | C4⋊C4 | — | 2 | 1 | no | — |
| 467 | C4⋊C4 | — | 2 | 1 | no | — |
| 468 | C4⋊C4 | — | 2 | 1 | no | — |
| 469 | C4⋊C4 | — | 2 | 1 | no | — |
| 470 | C4⋊C4 | — | 106 | 1 | no | — |
| 471 | C4⋊C4 | — | 106 | 1 | no | — |
| 472 | C4⋊C4 | — | 106 | 1 | no | — |
| 473 | C4⋊C4 | — | 106 | 1 | no | — |
| 474 | C4⋊C4 | — | 106 | 1 | no | — |
| 475 | C4⋊C4 | — | 106 | 1 | no | — |
| 476 | C4⋊C4 | — | 212 | 1 | no | — |
| 477 | C4⋊C4 | — | 212 | 1 | no | — |
| 478 | C4⋊C4 | — | 212 | 1 | no | — |
| 479 | C4⋊C4 | — | 212 | 1 | no | — |
| 480 | C4⋊C4 | — | 212 | 1 | no | — |
| 481 | C4⋊C4 | — | 212 | 1 | no | — |
| 482 | C42 | — | 53 | 1 | no | — |
| 483 | C42 | — | 53 | 1 | no | — |
| 484 | C42 | — | 53 | 1 | no | — |
| 485 | C42 | C23×D53 | 1 | 1 | yes | characteristic |
| 486 | C23 | — | 4 | 1 | no | — |
| 487 | C23 | — | 53 | 1 | no | — |
| 488 | C23 | — | 424 | 2 | no | — |
| 489 | C23 | — | 424 | 2 | no | — |
| 490 | C23 | — | 424 | 2 | no | — |
| 491 | C23 | — | 212 | 1 | no | — |
| 492 | Q8 | — | 4 | 2 | no | — |
| 493 | Q8 | — | 4 | 2 | no | — |
| 494 | Q8 | — | 4 | 2 | no | — |
| 495 | Q8 | — | 424 | 2 | no | — |
| 496 | Q8 | — | 424 | 2 | no | — |
| 497 | Q8 | — | 424 | 2 | no | — |
| 498 | Q8 | — | 212 | 2 | no | — |
| 499 | Q8 | — | 212 | 2 | no | — |
| 500 | Q8 | — | 212 | 2 | no | — |
| 501 | D4 | — | 4 | 2 | no | — |
| 502 | D4 | — | 4 | 2 | no | — |
| 503 | D4 | — | 4 | 2 | no | — |
| 504 | D4 | — | 424 | 2 | no | — |
| 505 | D4 | — | 424 | 2 | no | — |
| 506 | D4 | — | 424 | 2 | no | — |
| 507 | D4 | — | 212 | 2 | no | — |
| 508 | D4 | — | 212 | 2 | no | — |
| 509 | D4 | — | 212 | 2 | no | — |
| 510 | C2×C4 | — | 4 | 1 | no | — |
| 511 | C2×C4 | — | 4 | 1 | no | — |
| 512 | C2×C4 | — | 4 | 1 | no | — |
| 513 | C2×C4 | — | 53 | 1 | no | — |
| 514 | C2×C4 | — | 53 | 1 | no | — |
| 515 | C2×C4 | — | 53 | 1 | no | — |
| 516 | C2×C4 | — | 53 | 4 | no | — |
| 517 | C2×C4 | — | 53 | 4 | no | — |
| 518 | C2×C4 | — | 53 | 4 | no | — |
| 519 | C2×C4 | — | 424 | 2 | no | — |
| 520 | C2×C4 | — | 424 | 2 | no | — |
| 521 | C2×C4 | — | 424 | 2 | no | — |
| 522 | C2×C4 | — | 212 | 1 | no | — |
| 523 | C2×C4 | — | 212 | 1 | no | — |
| 524 | C2×C4 | — | 212 | 1 | no | — |
| 525 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 526 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 527 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 528 | C8 | — | 2 | 2 | no | — |
| 529 | C8 | — | 2 | 2 | no | — |
| 530 | C8 | — | 53 | 4 | no | — |
| 531 | C8 | — | 106 | 2 | no | — |
| 532 | C8 | — | 106 | 2 | no | — |
| 533 | C8 | SD16×D53 | 1 | 4 | yes | complemented |
| 534 | C22 | — | 8 | 1 | no | — |
| 535 | C22 | — | 8 | 1 | no | — |
| 536 | C22 | — | 8 | 1 | no | — |
| 537 | C22 | — | 53 | 2 | no | — |
| 538 | C22 | — | 53 | 2 | no | — |
| 539 | C22 | — | 53 | 2 | no | — |
| 540 | C22 | — | 848 | 4 | no | — |
| 541 | C22 | — | 424 | 1 | no | — |
| 542 | C22 | — | 424 | 1 | no | — |
| 543 | C22 | — | 424 | 1 | no | — |
| 544 | C22 | #127×D53 | 1 | 1 | yes | characteristic |
| 545 | C4 | — | 8 | 1 | no | — |
| 546 | C4 | — | 8 | 1 | no | — |
| 547 | C4 | — | 8 | 1 | no | — |
| 548 | C4 | — | 53 | 2 | no | — |
| 549 | C4 | — | 53 | 2 | no | — |
| 550 | C4 | — | 53 | 2 | no | — |
| 551 | C4 | — | 424 | 1 | no | — |
| 552 | C4 | — | 424 | 1 | no | — |
| 553 | C4 | — | 424 | 1 | no | — |
| 554 | C4 | C2×SD16×D53 | 1 | 2 | yes | — |
| 555 | C4 | AGL(1,ℤ/8)×D53 | 1 | 2 | yes | — |
| 556 | C4 | #137×D53 | 1 | 2 | yes | — |
| 557 | C2 | — | 16 | 1 | no | — |
| 558 | C2 | — | 53 | 4 | no | — |
| 559 | C2 | — | 848 | 1 | no | — |
| 560 | C2 | #492×D53 | 1 | 1 | yes | characteristic |
| 561 | C2 | #496×D53 | 1 | 1 | yes | characteristic |
| 562 | C2 | #497×D53 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta