| 1 | #20288614 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #20285087 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #20284193 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20280823 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20275735 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20275729 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20275727 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20275694 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20275563 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20275119 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20275116 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20275112 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #20275110 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #20274527 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#2003 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#13133242 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16811355 | — | 2 | 2 | no | — |
| 18 | #16811347 | — | 2 | 2 | no | — |
| 19 | #16811296 | — | 2 | 4 | no | — |
| 20 | #16811246 | — | 2 | 2 | no | — |
| 21 | #16811187 | C22 | 1 | 1 | yes | characteristic |
| 22 | #16811176 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#13133214 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#13133213 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#13133213 | C22 | 1 | 1 | yes | characteristic |
| 26 | #16811159 | — | 2 | 2 | no | — |
| 27 | C2×#13133206 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#13133206 | C22 | 1 | 1 | yes | characteristic |
| 29 | #16811101 | C22 | 1 | 1 | yes | characteristic |
| 30 | #16811097 | C22 | 1 | 1 | yes | characteristic |
| 31 | #41×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 32 | #16810986 | — | 2 | 2 | no | — |
| 33 | #16810968 | — | 2 | 2 | no | — |
| 34 | #16810821 | — | 2 | 2 | no | — |
| 35 | #16810816 | — | 2 | 2 | no | — |
| 36 | #16810646 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#13133144 | C22 | 1 | 1 | yes | characteristic |
| 38 | #16810629 | C22 | 1 | 1 | yes | characteristic |
| 39 | #16810629 | C22 | 1 | 1 | yes | characteristic |
| 40 | #16810628 | C22 | 1 | 1 | yes | characteristic |
| 41 | #16810628 | C22 | 1 | 1 | yes | characteristic |
| 42 | #16810627 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#13133136 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#13133133 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#13133133 | C22 | 1 | 1 | yes | characteristic |
| 46 | M16×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 47 | #16810532 | — | 2 | 4 | no | — |
| 48 | #16810469 | C22 | 1 | 1 | yes | characteristic |
| 49 | #16810384 | C22 | 1 | 1 | yes | characteristic |
| 50 | #16810384 | C22 | 1 | 1 | yes | characteristic |
| 51 | #16810383 | C22 | 1 | 1 | yes | characteristic |
| 52 | #16810383 | C22 | 1 | 1 | yes | characteristic |
| 53 | #16810382 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×AGL(1,ℤ/8)×C53 | C22 | 1 | 1 | yes | characteristic |
| 55 | C53×#536 | C22 | 1 | 1 | yes | characteristic |
| 56 | C2×#124×C53 | C22 | 1 | 1 | yes | characteristic |
| 57 | C2×#104×C53 | C22 | 1 | 1 | yes | characteristic |
| 58 | C53×#418 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×#101×C53 | C22 | 1 | 1 | yes | characteristic |
| 60 | C53×#339 | C22 | 1 | 1 | yes | characteristic |
| 61 | C22×D212 | — | 2 | 2 | no | — |
| 62 | C22×D212 | C23 | 1 | 1 | yes | characteristic |
| 63 | C22×D212 | C23 | 1 | 1 | yes | characteristic |
| 64 | C22×C22⋊D53 | — | 2 | 2 | no | — |
| 65 | C22×C22⋊D53 | — | 2 | 2 | no | — |
| 66 | #13133242 | — | 4 | 1 | no | — |
| 67 | #13133242 | — | 4 | 1 | no | — |
| 68 | C2×#11719924 | — | 2 | 1 | no | — |
| 69 | C2×#11719922 | — | 2 | 1 | no | — |
| 70 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 72 | #13133216 | D4 | 1 | 2 | yes | complemented |
| 73 | #13133214 | — | 2 | 2 | no | — |
| 74 | #13133214 | — | 4 | 1 | no | — |
| 75 | #13133213 | — | 2 | 1 | no | — |
| 76 | #13133213 | — | 2 | 2 | no | — |
| 77 | #13133213 | — | 2 | 1 | no | — |
| 78 | #13133213 | — | 2 | 1 | no | — |
| 79 | #13133213 | — | 2 | 2 | no | — |
| 80 | #13133213 | — | 4 | 1 | no | — |
| 81 | #13133212 | — | 2 | 4 | no | — |
| 82 | #13133212 | — | 2 | 4 | no | — |
| 83 | #13133208 | D4 | 1 | 2 | yes | complemented |
| 84 | #13133206 | — | 2 | 2 | no | — |
| 85 | #13133206 | — | 2 | 1 | no | — |
| 86 | #13133206 | — | 2 | 1 | no | — |
| 87 | #13133206 | — | 2 | 2 | no | — |
| 88 | #13133206 | — | 2 | 1 | no | — |
| 89 | #13133206 | — | 4 | 1 | no | — |
| 90 | #13133203 | — | 2 | 4 | no | — |
| 91 | #13133201 | — | 2 | 4 | no | — |
| 92 | #13133199 | — | 2 | 4 | no | — |
| 93 | #13133197 | — | 2 | 4 | no | — |
| 94 | #13133194 | — | 2 | 2 | no | — |
| 95 | #13133191 | — | 2 | 2 | no | — |
| 96 | #13133185 | — | 2 | 2 | no | — |
| 97 | Q8×Dic53 | — | 2 | 2 | no | — |
| 98 | Q8×Dic53 | — | 2 | 2 | no | — |
| 99 | Q8×Dic53 | D4 | 1 | 2 | yes | complemented |
| 100 | C4×Dic106 | — | 2 | 2 | no | — |
| 101 | C4×D212 | — | 2 | 2 | no | — |
| 102 | D4×Dic53 | — | 2 | 2 | no | — |
| 103 | D4×Dic53 | D4 | 1 | 2 | yes | complemented |
| 104 | #13133179 | — | 2 | 2 | no | — |
| 105 | #13133177 | — | 2 | 4 | no | — |
| 106 | #13133176 | — | 2 | 1 | no | — |
| 107 | #13133176 | — | 2 | 2 | no | — |
| 108 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 109 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 110 | #13133175 | — | 2 | 4 | no | — |
| 111 | C2×#11719921 | — | 2 | 2 | no | — |
| 112 | C2×#11719921 | D4 | 1 | 4 | yes | — |
| 113 | C22⋊C4×D53 | — | 2 | 2 | no | — |
| 114 | C2×C4×Dic53 | — | 2 | 1 | no | — |
| 115 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 116 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 117 | #13133146 | — | 2 | 2 | no | — |
| 118 | #13133144 | — | 2 | 2 | no | — |
| 119 | #13133139 | — | 2 | 2 | no | — |
| 120 | #13133139 | — | 2 | 2 | no | — |
| 121 | #13133138 | — | 2 | 2 | no | — |
| 122 | #13133138 | — | 2 | 2 | no | — |
| 123 | #13133137 | — | 2 | 2 | no | — |
| 124 | #13133136 | — | 4 | 1 | no | — |
| 125 | #13133133 | — | 4 | 1 | no | — |
| 126 | #13133133 | — | 4 | 1 | no | — |
| 127 | #13133127 | — | 2 | 1 | no | — |
| 128 | C8×Dic53 | — | 2 | 1 | no | — |
| 129 | #13133124 | — | 2 | 2 | no | — |
| 130 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 131 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 132 | C22×D4×C53 | C23 | 1 | 1 | yes | characteristic |
| 133 | AGL(1,ℤ/8)×C53 | — | 4 | 1 | no | — |
| 134 | AGL(1,ℤ/8)×C53 | — | 4 | 1 | no | — |
| 135 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 136 | C2×D8×C53 | — | 2 | 1 | no | — |
| 137 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 138 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 139 | C4⋊Q8×C53 | — | 2 | 1 | no | — |
| 140 | #124×C53 | — | 2 | 2 | no | — |
| 141 | #124×C53 | — | 2 | 1 | no | — |
| 142 | #124×C53 | — | 4 | 1 | no | — |
| 143 | #123×C53 | — | 2 | 2 | no | — |
| 144 | C22⋊Q8×C53 | — | 2 | 2 | no | — |
| 145 | #117×C53 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×C22⋊C4×C53 | — | 2 | 2 | no | — |
| 147 | C2×C42×C53 | C23 | 1 | 1 | yes | characteristic |
| 148 | #104×C53 | — | 2 | 2 | no | — |
| 149 | #102×C53 | — | 2 | 2 | no | — |
| 150 | #101×C53 | — | 4 | 1 | no | — |
| 151 | C24×C53 | — | 2 | 1 | no | — |
| 152 | C23×D53 | — | 2 | 1 | no | — |
| 153 | C23×D53 | C2×D4 | 1 | 2 | yes | — |
| 154 | #41×C53 | — | 2 | 1 | no | — |
| 155 | #41×C53 | — | 2 | 1 | no | — |
| 156 | #41×C53 | — | 2 | 1 | no | — |
| 157 | #41×C53 | — | 2 | 1 | no | — |
| 158 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 159 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 160 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 161 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 162 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 163 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 164 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×D4×C53 | — | 2 | 1 | no | — |
| 166 | C2×D4×C53 | — | 2 | 1 | no | — |
| 167 | C2×D4×C53 | — | 2 | 1 | no | — |
| 168 | C2×D4×C53 | — | 2 | 1 | no | — |
| 169 | C2×D4×C53 | — | 2 | 1 | no | — |
| 170 | C2×D4×C53 | — | 2 | 1 | no | — |
| 171 | C2×D4×C53 | — | 2 | 1 | no | — |
| 172 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 173 | C22×C4×C53 | — | 2 | 1 | no | — |
| 174 | C22×C4×C53 | — | 2 | 1 | no | — |
| 175 | C22×C4×C53 | C2×D4 | 1 | 2 | yes | — |
| 176 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 177 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 178 | C2×C22⋊D53 | — | 4 | 4 | no | — |
| 179 | C2×C22⋊D53 | — | 4 | 2 | no | — |
| 180 | C2×C22⋊D53 | — | 4 | 2 | no | — |
| 181 | C2×C22⋊D53 | — | 8 | 4 | no | — |
| 182 | C2×C22⋊D53 | — | 8 | 4 | no | — |
| 183 | C22×Dic53 | — | 2 | 1 | no | — |
| 184 | C22×Dic53 | — | 2 | 2 | no | — |
| 185 | C22×Dic53 | C2×D4 | 1 | 2 | yes | — |
| 186 | C2×D212 | — | 2 | 1 | no | — |
| 187 | C2×D212 | — | 2 | 1 | no | — |
| 188 | C2×D212 | — | 2 | 1 | no | — |
| 189 | C2×D212 | — | 2 | 1 | no | — |
| 190 | C2×D212 | — | 2 | 1 | no | — |
| 191 | C2×D212 | — | 2 | 1 | no | — |
| 192 | C2×D212 | — | 2 | 1 | no | — |
| 193 | C2×D212 | — | 2 | 1 | no | — |
| 194 | C2×D212 | — | 2 | 1 | no | — |
| 195 | C2×D212 | — | 2 | 1 | no | — |
| 196 | C2×D212 | — | 2 | 1 | no | — |
| 197 | C2×D212 | — | 2 | 1 | no | — |
| 198 | C2×D212 | — | 4 | 4 | no | — |
| 199 | C2×D212 | — | 8 | 4 | no | — |
| 200 | C2×C4×D53 | — | 2 | 4 | no | — |
| 201 | C2×Dic106 | — | 2 | 2 | no | — |
| 202 | SD16×C53 | — | 4 | 2 | no | — |
| 203 | D8×C53 | — | 4 | 2 | no | — |
| 204 | M16×C53 | — | 2 | 1 | no | — |
| 205 | M16×C53 | — | 2 | 1 | no | — |
| 206 | M16×C53 | — | 2 | 1 | no | — |
| 207 | M16×C53 | — | 2 | 1 | no | — |
| 208 | C2×C8×C53 | — | 2 | 1 | no | — |
| 209 | C2×C8×C53 | — | 2 | 1 | no | — |
| 210 | C4⋊C4×C53 | — | 2 | 4 | no | — |
| 211 | C4⋊C4×C53 | C2×D4 | 1 | 2 | yes | — |
| 212 | C22⋊C4×C53 | — | 2 | 4 | no | — |
| 213 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 214 | C22⋊C4×C53 | — | 4 | 4 | no | — |
| 215 | C42×C53 | — | 2 | 1 | no | — |
| 216 | C42×C53 | — | 2 | 1 | no | — |
| 217 | C42×C53 | #41 | 1 | 2 | yes | — |
| 218 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 219 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 220 | C22⋊Dic53 | — | 2 | 2 | no | — |
| 221 | #11719924 | — | 4 | 2 | no | — |
| 222 | #11719922 | — | 4 | 2 | no | — |
| 223 | #11719921 | — | 2 | 4 | no | — |
| 224 | #11719921 | — | 2 | 4 | no | — |
| 225 | #11719921 | — | 2 | 4 | no | — |
| 226 | #11719921 | — | 2 | 4 | no | — |
| 227 | #11719921 | — | 4 | 4 | no | — |
| 228 | C4⋊Dic53 | — | 2 | 4 | no | — |
| 229 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 230 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 231 | C4⋊Dic53 | C2×D4 | 1 | 2 | yes | — |
| 232 | C4⋊Dic53 | C2×D4 | 1 | 2 | yes | — |
| 233 | #11719919 | — | 2 | 2 | no | — |
| 234 | #11719919 | — | 2 | 2 | no | — |
| 235 | C4×Dic53 | — | 2 | 4 | no | — |
| 236 | C4×Dic53 | — | 2 | 1 | no | — |
| 237 | C4×Dic53 | — | 2 | 1 | no | — |
| 238 | C4×Dic53 | — | 2 | 1 | no | — |
| 239 | C4×Dic53 | — | 2 | 2 | no | — |
| 240 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C4×Dic53 | C2×D4 | 1 | 2 | yes | — |
| 243 | C4×Dic53 | #41 | 1 | 2 | yes | — |
| 244 | #11719917 | — | 2 | 1 | no | — |
| 245 | #11719917 | — | 2 | 1 | no | — |
| 246 | #11719917 | — | 2 | 1 | no | — |
| 247 | #11719917 | — | 2 | 1 | no | — |
| 248 | C2×#88322 | — | 2 | 1 | no | — |
| 249 | C2×#88322 | — | 2 | 1 | no | — |
| 250 | C23×C53 | — | 2 | 1 | no | — |
| 251 | C23×C53 | — | 4 | 4 | no | — |
| 252 | C23×C53 | — | 4 | 1 | no | — |
| 253 | C23×C53 | — | 4 | 1 | no | — |
| 254 | C23×C53 | — | 4 | 1 | no | — |
| 255 | C23×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 256 | C22×D53 | — | 2 | 2 | no | — |
| 257 | C22×D53 | — | 2 | 2 | no | — |
| 258 | C22×D53 | — | 2 | 2 | no | — |
| 259 | C22×D53 | — | 4 | 4 | no | — |
| 260 | C22×D53 | — | 4 | 4 | no | — |
| 261 | C22×D53 | — | 4 | 1 | no | — |
| 262 | C22×D53 | — | 4 | 1 | no | — |
| 263 | C22×D53 | — | 4 | 1 | no | — |
| 264 | Q8×C53 | — | 2 | 1 | no | — |
| 265 | Q8×C53 | — | 2 | 1 | no | — |
| 266 | Q8×C53 | — | 4 | 1 | no | — |
| 267 | Q8×C53 | — | 4 | 1 | no | — |
| 268 | Q8×C53 | — | 4 | 1 | no | — |
| 269 | Q8×C53 | — | 4 | 1 | no | — |
| 270 | D4×C53 | — | 2 | 1 | no | — |
| 271 | D4×C53 | — | 2 | 1 | no | — |
| 272 | D4×C53 | — | 4 | 1 | no | — |
| 273 | D4×C53 | — | 4 | 1 | no | — |
| 274 | D4×C53 | — | 4 | 1 | no | — |
| 275 | D4×C53 | — | 4 | 1 | no | — |
| 276 | D4×C53 | — | 4 | 1 | no | — |
| 277 | D4×C53 | — | 4 | 1 | no | — |
| 278 | C2×C4×C53 | — | 2 | 2 | no | — |
| 279 | C2×C4×C53 | — | 2 | 1 | no | — |
| 280 | C2×C4×C53 | — | 2 | 2 | no | — |
| 281 | C2×C4×C53 | — | 2 | 2 | no | — |
| 282 | C2×C4×C53 | — | 2 | 2 | no | — |
| 283 | C2×C4×C53 | — | 2 | 2 | no | — |
| 284 | C2×C4×C53 | — | 4 | 2 | no | — |
| 285 | C2×C4×C53 | — | 4 | 1 | no | — |
| 286 | C2×C4×C53 | — | 4 | 1 | no | — |
| 287 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 288 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 289 | C2×C4×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 290 | C2×C4×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 291 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 292 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 293 | C22⋊D53 | — | 8 | 4 | no | — |
| 294 | C22⋊D53 | — | 8 | 4 | no | — |
| 295 | C22⋊D53 | — | 8 | 4 | no | — |
| 296 | C22⋊D53 | — | 8 | 8 | no | — |
| 297 | C2×Dic53 | — | 2 | 2 | no | — |
| 298 | C2×Dic53 | — | 2 | 2 | no | — |
| 299 | C2×Dic53 | — | 2 | 2 | no | — |
| 300 | C2×Dic53 | — | 4 | 2 | no | — |
| 301 | C2×Dic53 | — | 4 | 2 | no | — |
| 302 | C2×Dic53 | — | 8 | 2 | no | — |
| 303 | C2×Dic53 | #120 | 1 | 2 | yes | — |
| 304 | C2×Dic53 | #120 | 1 | 2 | yes | — |
| 305 | D212 | — | 4 | 1 | no | — |
| 306 | D212 | — | 4 | 1 | no | — |
| 307 | D212 | — | 4 | 1 | no | — |
| 308 | D212 | — | 4 | 1 | no | — |
| 309 | D212 | — | 4 | 1 | no | — |
| 310 | D212 | — | 4 | 1 | no | — |
| 311 | D212 | — | 4 | 1 | no | — |
| 312 | D212 | — | 4 | 1 | no | — |
| 313 | D212 | — | 8 | 8 | no | — |
| 314 | C4×D53 | — | 8 | 4 | no | — |
| 315 | Dic106 | — | 8 | 2 | no | — |
| 316 | C8×C53 | — | 4 | 1 | no | — |
| 317 | C8×C53 | — | 4 | 1 | no | — |
| 318 | #88322 | — | 4 | 1 | no | — |
| 319 | #88322 | — | 4 | 1 | no | — |
| 320 | #25595 | — | 53 | 1 | no | maximal, Sylow |
| 321 | C22×C53 | — | 2 | 2 | no | — |
| 322 | C22×C53 | — | 4 | 1 | no | — |
| 323 | C22×C53 | — | 4 | 2 | no | — |
| 324 | C22×C53 | — | 8 | 2 | no | — |
| 325 | C22×C53 | — | 8 | 2 | no | — |
| 326 | C22×C53 | — | 8 | 1 | no | — |
| 327 | C22×C53 | — | 8 | 2 | no | — |
| 328 | C22×C53 | C2×#120 | 1 | 1 | yes | characteristic |
| 329 | C22×C53 | #546 | 1 | 1 | yes | characteristic |
| 330 | C22×C53 | #546 | 1 | 1 | yes | characteristic |
| 331 | C2×D53 | — | 4 | 2 | no | — |
| 332 | C2×D53 | — | 4 | 4 | no | — |
| 333 | C2×D53 | — | 8 | 2 | no | — |
| 334 | C2×D53 | — | 8 | 2 | no | — |
| 335 | C2×D53 | — | 8 | 2 | no | — |
| 336 | C2×D53 | — | 8 | 2 | no | — |
| 337 | C2×D53 | — | 8 | 1 | no | — |
| 338 | C2×D53 | — | 8 | 2 | no | — |
| 339 | C4×C53 | — | 4 | 2 | no | — |
| 340 | C4×C53 | — | 4 | 2 | no | — |
| 341 | C4×C53 | — | 4 | 1 | no | — |
| 342 | C4×C53 | — | 4 | 2 | no | — |
| 343 | C4×C53 | #532 | 1 | 1 | yes | characteristic |
| 344 | C4×C53 | #535 | 1 | 1 | yes | characteristic |
| 345 | C4×C53 | #550 | 1 | 1 | yes | characteristic |
| 346 | C4×C53 | #550 | 1 | 1 | yes | characteristic |
| 347 | Dic53 | — | 2 | 2 | no | — |
| 348 | Dic53 | — | 2 | 2 | no | — |
| 349 | Dic53 | — | 4 | 2 | no | — |
| 350 | Dic53 | — | 4 | 2 | no | — |
| 351 | Dic53 | — | 4 | 2 | no | — |
| 352 | #3510 | — | 53 | 1 | no | — |
| 353 | #3138 | — | 53 | 1 | no | — |
| 354 | #3038 | — | 53 | 1 | no | — |
| 355 | #2657 | — | 53 | 1 | no | — |
| 356 | #2003 | — | 53 | 1 | no | — |
| 357 | #2003 | D53 | 1 | 1 | yes | characteristic, complemented |
| 358 | #2002 | — | 53 | 1 | no | — |
| 359 | #2002 | — | 53 | 1 | no | — |
| 360 | #1995 | — | 53 | 1 | no | — |
| 361 | #1967 | — | 53 | 1 | no | — |
| 362 | #1888 | — | 53 | 1 | no | — |
| 363 | #1888 | — | 53 | 1 | no | — |
| 364 | #1887 | — | 53 | 1 | no | — |
| 365 | #1887 | — | 53 | 1 | no | — |
| 366 | #1759 | — | 53 | 1 | no | — |
| 367 | C2×C53 | — | 2 | 1 | no | — |
| 368 | C2×C53 | — | 2 | 1 | no | — |
| 369 | C2×C53 | — | 8 | 1 | no | — |
| 370 | C2×C53 | — | 16 | 1 | no | — |
| 371 | C2×C53 | #2431 | 1 | 1 | yes | characteristic |
| 372 | C2×C53 | #3021 | 1 | 2 | yes | — |
| 373 | D53 | — | 8 | 2 | no | — |
| 374 | D53 | — | 16 | 1 | no | — |
| 375 | C2×AGL(1,ℤ/8) | — | 53 | 1 | no | — |
| 376 | C2×AGL(1,ℤ/8) | C2×D53 | 1 | 1 | yes | characteristic |
| 377 | #559 | — | 106 | 2 | no | — |
| 378 | #556 | — | 106 | 2 | no | — |
| 379 | #551 | — | 106 | 4 | no | — |
| 380 | #542 | — | 106 | 2 | no | — |
| 381 | #536 | C2×D53 | 1 | 1 | yes | characteristic |
| 382 | #535 | — | 53 | 1 | no | — |
| 383 | #533 | — | 53 | 1 | no | — |
| 384 | C2×#127 | — | 53 | 1 | no | — |
| 385 | C2×#127 | — | 53 | 1 | no | — |
| 386 | C2×#127 | — | 53 | 1 | no | — |
| 387 | #529 | — | 106 | 2 | no | — |
| 388 | C2×#124 | — | 53 | 1 | no | — |
| 389 | C2×#124 | — | 53 | 1 | no | — |
| 390 | C2×#124 | C2×D53 | 1 | 1 | yes | characteristic |
| 391 | #519 | — | 53 | 1 | no | — |
| 392 | #518 | — | 53 | 1 | no | — |
| 393 | C4×#41 | — | 53 | 1 | no | — |
| 394 | #490 | — | 106 | 2 | no | — |
| 395 | #486 | — | 106 | 2 | no | — |
| 396 | #460 | — | 106 | 2 | no | — |
| 397 | #459 | — | 106 | 2 | no | — |
| 398 | #423 | — | 53 | 1 | no | — |
| 399 | C2×#104 | — | 53 | 1 | no | — |
| 400 | C2×#104 | C2×D53 | 1 | 1 | yes | characteristic |
| 401 | #418 | — | 53 | 1 | no | — |
| 402 | #418 | — | 53 | 1 | no | — |
| 403 | #418 | — | 53 | 1 | no | — |
| 404 | #418 | — | 53 | 1 | no | — |
| 405 | #418 | — | 53 | 1 | no | — |
| 406 | #418 | C2×D53 | 1 | 1 | yes | characteristic |
| 407 | C2×#101 | — | 53 | 1 | no | — |
| 408 | C2×#101 | C2×D53 | 1 | 1 | yes | characteristic |
| 409 | C2×#100 | — | 53 | 1 | no | — |
| 410 | C2×#100 | — | 53 | 1 | no | — |
| 411 | C4×M16 | — | 53 | 1 | no | — |
| 412 | #392 | — | 106 | 4 | no | — |
| 413 | #376 | — | 53 | 1 | no | — |
| 414 | #339 | — | 53 | 1 | no | — |
| 415 | #339 | — | 53 | 1 | no | — |
| 416 | #339 | — | 53 | 1 | no | — |
| 417 | #339 | — | 53 | 1 | no | — |
| 418 | #339 | — | 53 | 1 | no | — |
| 419 | #339 | C2×D53 | 1 | 1 | yes | characteristic |
| 420 | C53 | #25595 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 421 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 422 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 423 | C22×D4 | — | 53 | 1 | no | — |
| 424 | C22×D4 | — | 53 | 1 | no | — |
| 425 | C22×D4 | — | 106 | 2 | no | — |
| 426 | C22×D4 | — | 106 | 2 | no | — |
| 427 | C22×D4 | — | 106 | 2 | no | — |
| 428 | C22×D4 | C22×D53 | 1 | 1 | yes | characteristic |
| 429 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 430 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 431 | AGL(1,ℤ/8) | — | 212 | 1 | no | — |
| 432 | AGL(1,ℤ/8) | — | 212 | 1 | no | — |
| 433 | C2×SD16 | — | 2 | 1 | no | — |
| 434 | C2×SD16 | — | 106 | 1 | no | — |
| 435 | C2×D8 | — | 2 | 1 | no | — |
| 436 | C2×D8 | — | 106 | 1 | no | — |
| 437 | C2×M16 | — | 53 | 1 | no | — |
| 438 | C2×M16 | — | 53 | 1 | no | — |
| 439 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 440 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 441 | C4⋊Q8 | — | 2 | 1 | no | — |
| 442 | C4⋊Q8 | — | 53 | 2 | no | — |
| 443 | #127 | — | 106 | 2 | no | — |
| 444 | #127 | — | 106 | 2 | no | — |
| 445 | #127 | — | 106 | 1 | no | — |
| 446 | #127 | — | 106 | 1 | no | — |
| 447 | #127 | — | 106 | 1 | no | — |
| 448 | #127 | — | 106 | 2 | no | — |
| 449 | #127 | — | 212 | 1 | no | — |
| 450 | #127 | — | 212 | 1 | no | — |
| 451 | #126 | — | 106 | 4 | no | — |
| 452 | #126 | — | 106 | 4 | no | — |
| 453 | #125 | — | 53 | 2 | no | — |
| 454 | #124 | — | 2 | 1 | no | — |
| 455 | #124 | — | 2 | 2 | no | — |
| 456 | #124 | — | 4 | 1 | no | — |
| 457 | #124 | — | 106 | 1 | no | — |
| 458 | #124 | — | 106 | 1 | no | — |
| 459 | #124 | — | 106 | 2 | no | — |
| 460 | #124 | — | 106 | 2 | no | — |
| 461 | #124 | — | 106 | 4 | no | — |
| 462 | #124 | — | 106 | 1 | no | — |
| 463 | #124 | — | 212 | 1 | no | — |
| 464 | #123 | — | 2 | 2 | no | — |
| 465 | #123 | — | 106 | 4 | no | — |
| 466 | #123 | — | 106 | 4 | no | — |
| 467 | C22⋊Q8 | — | 2 | 2 | no | — |
| 468 | C22⋊Q8 | — | 106 | 2 | no | — |
| 469 | C22⋊Q8 | — | 106 | 4 | no | — |
| 470 | #121 | — | 106 | 2 | no | — |
| 471 | #120 | — | 106 | 2 | no | — |
| 472 | C4×Q8 | — | 53 | 2 | no | — |
| 473 | C4×Q8 | — | 106 | 2 | no | — |
| 474 | C4×Q8 | — | 106 | 2 | no | — |
| 475 | C4×Q8 | — | 106 | 2 | no | — |
| 476 | C4×D4 | — | 53 | 2 | no | — |
| 477 | C4×D4 | — | 106 | 2 | no | — |
| 478 | C4×D4 | — | 106 | 4 | no | — |
| 479 | C4×D4 | — | 106 | 2 | no | — |
| 480 | C4×D4 | — | 106 | 2 | no | — |
| 481 | #117 | — | 53 | 1 | no | — |
| 482 | #117 | — | 53 | 1 | no | — |
| 483 | #117 | — | 106 | 1 | no | — |
| 484 | #117 | — | 106 | 4 | no | — |
| 485 | #117 | — | 106 | 2 | no | — |
| 486 | #117 | C22×D53 | 1 | 1 | yes | characteristic |
| 487 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 488 | C2×C22⋊C4 | — | 53 | 4 | no | — |
| 489 | C2×C22⋊C4 | — | 106 | 2 | no | — |
| 490 | C2×C22⋊C4 | — | 106 | 2 | no | — |
| 491 | C2×C42 | — | 53 | 1 | no | — |
| 492 | C2×C42 | — | 53 | 1 | no | — |
| 493 | C2×C42 | — | 106 | 1 | no | — |
| 494 | C2×C42 | C22×D53 | 1 | 1 | yes | characteristic |
| 495 | C4⋊C8 | — | 106 | 2 | no | — |
| 496 | #104 | — | 2 | 2 | no | — |
| 497 | #104 | — | 106 | 2 | no | — |
| 498 | #102 | — | 2 | 2 | no | — |
| 499 | #102 | — | 106 | 2 | no | — |
| 500 | #102 | — | 106 | 2 | no | — |
| 501 | #102 | — | 106 | 2 | no | — |
| 502 | #102 | — | 106 | 2 | no | — |
| 503 | #102 | — | 106 | 2 | no | — |
| 504 | #101 | — | 4 | 1 | no | — |
| 505 | #101 | — | 212 | 1 | no | — |
| 506 | #100 | — | 212 | 1 | no | — |
| 507 | #100 | — | 212 | 1 | no | — |
| 508 | #97 | — | 106 | 1 | no | — |
| 509 | C4×C8 | — | 106 | 1 | no | — |
| 510 | #95 | — | 106 | 2 | no | — |
| 511 | C24 | — | 2 | 1 | no | — |
| 512 | C24 | — | 53 | 2 | no | — |
| 513 | C24 | — | 106 | 1 | no | — |
| 514 | #41 | — | 2 | 1 | no | — |
| 515 | #41 | — | 2 | 1 | no | — |
| 516 | #41 | — | 2 | 1 | no | — |
| 517 | #41 | — | 2 | 1 | no | — |
| 518 | C2×Q8 | — | 2 | 1 | no | — |
| 519 | C2×Q8 | — | 2 | 1 | no | — |
| 520 | C2×Q8 | — | 2 | 1 | no | — |
| 521 | C2×Q8 | — | 2 | 1 | no | — |
| 522 | C2×Q8 | — | 2 | 1 | no | — |
| 523 | C2×Q8 | — | 2 | 1 | no | — |
| 524 | C2×Q8 | — | 106 | 2 | no | — |
| 525 | C2×Q8 | D4×D53 | 1 | 1 | yes | characteristic |
| 526 | C2×D4 | — | 2 | 1 | no | — |
| 527 | C2×D4 | — | 2 | 1 | no | — |
| 528 | C2×D4 | — | 2 | 1 | no | — |
| 529 | C2×D4 | — | 2 | 1 | no | — |
| 530 | C2×D4 | — | 2 | 1 | no | — |
| 531 | C2×D4 | — | 2 | 1 | no | — |
| 532 | C2×D4 | — | 2 | 1 | no | — |
| 533 | C2×D4 | — | 106 | 4 | no | — |
| 534 | C2×D4 | — | 106 | 1 | no | — |
| 535 | C2×D4 | — | 106 | 1 | no | — |
| 536 | C2×D4 | — | 106 | 1 | no | — |
| 537 | C2×D4 | — | 106 | 1 | no | — |
| 538 | C2×D4 | — | 106 | 1 | no | — |
| 539 | C2×D4 | — | 106 | 1 | no | — |
| 540 | C2×D4 | — | 106 | 1 | no | — |
| 541 | C2×D4 | — | 106 | 1 | no | — |
| 542 | C2×D4 | — | 106 | 1 | no | — |
| 543 | C2×D4 | — | 106 | 1 | no | — |
| 544 | C2×D4 | — | 106 | 1 | no | — |
| 545 | C2×D4 | — | 106 | 1 | no | — |
| 546 | C2×D4 | — | 424 | 4 | no | — |
| 547 | C2×D4 | — | 424 | 4 | no | — |
| 548 | C2×D4 | — | 424 | 4 | no | — |
| 549 | C2×D4 | — | 212 | 4 | no | — |
| 550 | C2×D4 | — | 212 | 2 | no | — |
| 551 | C2×D4 | — | 212 | 2 | no | — |
| 552 | C2×D4 | — | 212 | 4 | no | — |
| 553 | C2×D4 | D4×D53 | 1 | 1 | yes | characteristic |
| 554 | C22×C4 | — | 2 | 1 | no | — |
| 555 | C22×C4 | — | 2 | 1 | no | — |
| 556 | C22×C4 | — | 53 | 2 | no | — |
| 557 | C22×C4 | — | 106 | 4 | no | — |
| 558 | C22×C4 | — | 106 | 2 | no | — |
| 559 | C22×C4 | — | 106 | 1 | no | — |
| 560 | C22×C4 | D4×D53 | 1 | 2 | yes | — |
| 561 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 562 | SD16 | — | 4 | 2 | no | — |
| 563 | SD16 | — | 212 | 2 | no | — |
| 564 | D8 | — | 4 | 2 | no | — |
| 565 | D8 | — | 212 | 2 | no | — |
| 566 | M16 | — | 2 | 1 | no | — |
| 567 | M16 | — | 2 | 1 | no | — |
| 568 | M16 | — | 2 | 1 | no | — |
| 569 | M16 | — | 2 | 1 | no | — |
| 570 | M16 | — | 106 | 1 | no | — |
| 571 | M16 | — | 106 | 1 | no | — |
| 572 | M16 | — | 106 | 1 | no | — |
| 573 | M16 | — | 106 | 1 | no | — |
| 574 | C2×C8 | — | 2 | 1 | no | — |
| 575 | C2×C8 | — | 2 | 1 | no | — |
| 576 | C2×C8 | — | 106 | 1 | no | — |
| 577 | C2×C8 | — | 106 | 1 | no | — |
| 578 | C4⋊C4 | — | 2 | 4 | no | — |
| 579 | C4⋊C4 | — | 53 | 2 | no | — |
| 580 | C4⋊C4 | — | 53 | 2 | no | — |
| 581 | C4⋊C4 | — | 106 | 2 | no | — |
| 582 | C4⋊C4 | — | 106 | 2 | no | — |
| 583 | C4⋊C4 | — | 106 | 2 | no | — |
| 584 | C4⋊C4 | — | 106 | 2 | no | — |
| 585 | C4⋊C4 | — | 106 | 4 | no | — |
| 586 | C4⋊C4 | D4×D53 | 1 | 2 | yes | — |
| 587 | C22⋊C4 | — | 2 | 4 | no | — |
| 588 | C22⋊C4 | — | 2 | 1 | no | — |
| 589 | C22⋊C4 | — | 4 | 4 | no | — |
| 590 | C22⋊C4 | — | 106 | 4 | no | — |
| 591 | C22⋊C4 | — | 106 | 4 | no | — |
| 592 | C22⋊C4 | — | 106 | 4 | no | — |
| 593 | C22⋊C4 | — | 106 | 4 | no | — |
| 594 | C22⋊C4 | — | 106 | 2 | no | — |
| 595 | C22⋊C4 | — | 106 | 1 | no | — |
| 596 | C22⋊C4 | — | 106 | 1 | no | — |
| 597 | C22⋊C4 | — | 212 | 4 | no | — |
| 598 | C42 | — | 2 | 1 | no | — |
| 599 | C42 | — | 2 | 1 | no | — |
| 600 | C42 | — | 53 | 1 | no | — |
| 601 | C42 | — | 53 | 1 | no | — |
| 602 | C42 | — | 53 | 2 | no | — |
| 603 | C42 | — | 53 | 2 | no | — |
| 604 | C42 | — | 106 | 2 | no | — |
| 605 | C42 | — | 106 | 4 | no | — |
| 606 | C42 | — | 106 | 1 | no | — |
| 607 | C42 | — | 106 | 1 | no | — |
| 608 | C42 | — | 106 | 1 | no | — |
| 609 | C42 | #11719947 | 1 | 2 | yes | — |
| 610 | C23 | — | 2 | 1 | no | — |
| 611 | C23 | — | 4 | 4 | no | — |
| 612 | C23 | — | 4 | 1 | no | — |
| 613 | C23 | — | 4 | 1 | no | — |
| 614 | C23 | — | 4 | 1 | no | — |
| 615 | C23 | — | 106 | 2 | no | — |
| 616 | C23 | — | 106 | 2 | no | — |
| 617 | C23 | — | 106 | 2 | no | — |
| 618 | C23 | — | 212 | 4 | no | — |
| 619 | C23 | — | 212 | 4 | no | — |
| 620 | C23 | — | 212 | 1 | no | — |
| 621 | C23 | — | 212 | 1 | no | — |
| 622 | C23 | — | 212 | 1 | no | — |
| 623 | C23 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 624 | Q8 | — | 2 | 1 | no | — |
| 625 | Q8 | — | 2 | 1 | no | — |
| 626 | Q8 | — | 4 | 1 | no | — |
| 627 | Q8 | — | 4 | 1 | no | — |
| 628 | Q8 | — | 4 | 1 | no | — |
| 629 | Q8 | — | 4 | 1 | no | — |
| 630 | Q8 | — | 424 | 2 | no | — |
| 631 | D4 | — | 2 | 1 | no | — |
| 632 | D4 | — | 2 | 1 | no | — |
| 633 | D4 | — | 4 | 1 | no | — |
| 634 | D4 | — | 4 | 1 | no | — |
| 635 | D4 | — | 4 | 1 | no | — |
| 636 | D4 | — | 4 | 1 | no | — |
| 637 | D4 | — | 4 | 1 | no | — |
| 638 | D4 | — | 4 | 1 | no | — |
| 639 | D4 | — | 424 | 8 | no | — |
| 640 | D4 | — | 424 | 4 | no | — |
| 641 | D4 | — | 424 | 4 | no | — |
| 642 | D4 | — | 424 | 4 | no | — |
| 643 | D4 | — | 424 | 8 | no | — |
| 644 | D4 | — | 212 | 1 | no | — |
| 645 | D4 | — | 212 | 1 | no | — |
| 646 | D4 | — | 212 | 1 | no | — |
| 647 | D4 | — | 212 | 1 | no | — |
| 648 | D4 | — | 212 | 1 | no | — |
| 649 | D4 | — | 212 | 1 | no | — |
| 650 | D4 | — | 212 | 1 | no | — |
| 651 | D4 | — | 212 | 1 | no | — |
| 652 | C2×C4 | — | 2 | 2 | no | — |
| 653 | C2×C4 | — | 2 | 2 | no | — |
| 654 | C2×C4 | — | 2 | 1 | no | — |
| 655 | C2×C4 | — | 2 | 2 | no | — |
| 656 | C2×C4 | — | 2 | 2 | no | — |
| 657 | C2×C4 | — | 2 | 2 | no | — |
| 658 | C2×C4 | — | 4 | 2 | no | — |
| 659 | C2×C4 | — | 4 | 1 | no | — |
| 660 | C2×C4 | — | 4 | 1 | no | — |
| 661 | C2×C4 | — | 53 | 2 | no | — |
| 662 | C2×C4 | — | 53 | 2 | no | — |
| 663 | C2×C4 | — | 106 | 2 | no | — |
| 664 | C2×C4 | — | 106 | 2 | no | — |
| 665 | C2×C4 | — | 106 | 2 | no | — |
| 666 | C2×C4 | — | 424 | 4 | no | — |
| 667 | C2×C4 | — | 424 | 2 | no | — |
| 668 | C2×C4 | — | 212 | 2 | no | — |
| 669 | C2×C4 | — | 212 | 2 | no | — |
| 670 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 671 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 672 | C2×C4 | #41×D53 | 1 | 1 | yes | characteristic |
| 673 | C2×C4 | C2×#11719947 | 1 | 1 | yes | characteristic |
| 674 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 675 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 676 | C8 | — | 4 | 1 | no | — |
| 677 | C8 | — | 4 | 1 | no | — |
| 678 | C8 | — | 212 | 1 | no | — |
| 679 | C8 | — | 212 | 1 | no | — |
| 680 | C22 | — | 2 | 2 | no | — |
| 681 | C22 | — | 4 | 1 | no | — |
| 682 | C22 | — | 4 | 2 | no | — |
| 683 | C22 | — | 8 | 2 | no | — |
| 684 | C22 | — | 8 | 2 | no | — |
| 685 | C22 | — | 8 | 1 | no | — |
| 686 | C22 | — | 8 | 2 | no | — |
| 687 | C22 | — | 424 | 2 | no | — |
| 688 | C22 | — | 424 | 2 | no | — |
| 689 | C22 | — | 424 | 2 | no | — |
| 690 | C22 | — | 424 | 2 | no | — |
| 691 | C22 | — | 424 | 1 | no | — |
| 692 | C22 | — | 424 | 2 | no | — |
| 693 | C22 | — | 212 | 2 | no | — |
| 694 | C22 | — | 212 | 4 | no | — |
| 695 | C22 | #120×D53 | 1 | 1 | yes | characteristic |
| 696 | C22 | #16811260 | 1 | 1 | yes | characteristic |
| 697 | C22 | #16811262 | 1 | 1 | yes | characteristic |
| 698 | C4 | — | 4 | 2 | no | — |
| 699 | C4 | — | 4 | 2 | no | — |
| 700 | C4 | — | 4 | 1 | no | — |
| 701 | C4 | — | 4 | 2 | no | — |
| 702 | C4 | — | 106 | 2 | no | — |
| 703 | C4 | — | 106 | 2 | no | — |
| 704 | C4 | — | 212 | 2 | no | — |
| 705 | C4 | — | 212 | 2 | no | — |
| 706 | C4 | — | 212 | 2 | no | — |
| 707 | C4 | #16811168 | 1 | 1 | yes | characteristic |
| 708 | C4 | #16811188 | 1 | 1 | yes | characteristic |
| 709 | C4 | #16811291 | 1 | 1 | yes | characteristic |
| 710 | C4 | #16811293 | 1 | 1 | yes | characteristic |
| 711 | C2 | — | 2 | 1 | no | — |
| 712 | C2 | — | 2 | 1 | no | — |
| 713 | C2 | — | 8 | 1 | no | — |
| 714 | C2 | — | 16 | 1 | no | — |
| 715 | C2 | — | 848 | 1 | no | — |
| 716 | C2 | — | 424 | 2 | no | — |
| 717 | C2 | #20278329 | 1 | 1 | yes | characteristic |
| 718 | C2 | #20284085 | 1 | 2 | yes | — |
Finite Group Databasebeta