| 1 | C2×#135×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×SD32×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×D16×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #466×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20276641 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20276640 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20276639 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20276638 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20276637 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20276636 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20276635 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #358×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #357×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C22⋊C16×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#2186 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#41×D53 | — | 2 | 1 | no | — |
| 17 | C2×#13133240 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×#13133239 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×#13133238 | — | 2 | 1 | no | — |
| 20 | C2×#13133237 | — | 2 | 1 | no | — |
| 21 | C2×#13133236 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #135×D53 | — | 2 | 4 | no | — |
| 23 | #135×D53 | — | 2 | 4 | no | — |
| 24 | C2×Q16×D53 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×SD16×D53 | — | 2 | 1 | no | — |
| 26 | C2×D8×D53 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×D8×D53 | C22 | 1 | 1 | yes | characteristic |
| 28 | C22×C8×D53 | C22 | 1 | 1 | yes | characteristic |
| 29 | #121×D53 | — | 2 | 1 | no | — |
| 30 | C2×#13133162 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×#13133161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×#13133160 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | SD32×D53 | — | 2 | 4 | no | — |
| 34 | C2×D848 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C2×#13133158 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×#13133158 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | D16×D53 | — | 2 | 4 | no | — |
| 38 | C2×C16×D53 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×C16×D53 | C22 | 1 | 1 | yes | characteristic |
| 40 | #16810860 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #16810859 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #16810858 | — | 2 | 1 | no | — |
| 43 | #16810857 | — | 2 | 1 | no | — |
| 44 | #16810856 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #107×D53 | C22 | 1 | 1 | yes | characteristic |
| 46 | #102×D53 | — | 2 | 1 | no | — |
| 47 | #16810428 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #16810427 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #16810426 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #16810425 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #16810424 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #16810423 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C22⋊#11719908 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #16810402 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #16810402 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C2×#135×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C2×SD32×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C2×D16×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C53×#466 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C53×#358 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C53×#357 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | C53×C22⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | C2×#11719949 | — | 2 | 1 | no | — |
| 64 | C2×#11719945 | — | 2 | 1 | no | — |
| 65 | C2×#11719945 | — | 4 | 1 | no | — |
| 66 | C2×#11719947 | — | 2 | 1 | no | — |
| 67 | C2×#11719947 | — | 4 | 1 | no | — |
| 68 | #41×D53 | — | 2 | 8 | no | — |
| 69 | #41×D53 | — | 4 | 4 | no | — |
| 70 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 71 | C2×D4×D53 | — | 2 | 1 | no | — |
| 72 | C2×D4×D53 | — | 2 | 1 | no | — |
| 73 | C2×D4×D53 | — | 4 | 1 | no | — |
| 74 | C2×D4×D53 | — | 4 | 1 | no | — |
| 75 | C22×C4×D53 | — | 4 | 1 | no | — |
| 76 | C22×C4×D53 | D4 | 1 | 1 | yes | characteristic |
| 77 | #13133240 | — | 2 | 2 | no | — |
| 78 | #13133240 | — | 2 | 2 | no | — |
| 79 | #13133239 | — | 2 | 2 | no | — |
| 80 | #13133239 | — | 2 | 2 | no | — |
| 81 | #13133238 | — | 2 | 8 | no | — |
| 82 | #13133237 | — | 2 | 8 | no | — |
| 83 | #13133236 | — | 2 | 2 | no | — |
| 84 | #13133236 | — | 2 | 2 | no | — |
| 85 | C2×Dic212 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×#11719925 | — | 2 | 1 | no | — |
| 87 | Q16×D53 | — | 2 | 2 | no | — |
| 88 | Q16×D53 | D4 | 1 | 4 | yes | complemented |
| 89 | C2×#11719913 | — | 2 | 1 | no | — |
| 90 | C2×#11719923 | — | 2 | 1 | no | — |
| 91 | C2×#11719924 | — | 2 | 1 | no | — |
| 92 | SD16×D53 | — | 2 | 8 | no | — |
| 93 | C2×D424 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×D424 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×#11719922 | — | 2 | 1 | no | — |
| 96 | C2×#11719922 | — | 2 | 1 | no | — |
| 97 | D8×D53 | — | 2 | 2 | no | — |
| 98 | D8×D53 | — | 2 | 2 | no | — |
| 99 | D8×D53 | — | 2 | 2 | no | — |
| 100 | D8×D53 | D4 | 1 | 4 | yes | complemented |
| 101 | C22×#88322 | D4 | 1 | 1 | yes | characteristic |
| 102 | C2×C8×D53 | — | 2 | 2 | no | — |
| 103 | C2×C8×D53 | — | 2 | 2 | no | — |
| 104 | C2×C8×D53 | D4 | 1 | 1 | yes | characteristic |
| 105 | C2×C8×D53 | D4 | 1 | 1 | yes | characteristic |
| 106 | C2×C8×D53 | C23 | 1 | 1 | yes | characteristic |
| 107 | C2×C8×D53 | C23 | 1 | 1 | yes | characteristic |
| 108 | #13133192 | — | 2 | 1 | no | — |
| 109 | #13133191 | — | 2 | 1 | no | — |
| 110 | #13133190 | — | 4 | 1 | no | — |
| 111 | #13133189 | — | 4 | 1 | no | — |
| 112 | #13133188 | — | 2 | 1 | no | — |
| 113 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 114 | C22⋊C4×D53 | — | 4 | 1 | no | — |
| 115 | #13133162 | — | 2 | 2 | no | — |
| 116 | #13133161 | — | 2 | 2 | no | — |
| 117 | #13133160 | — | 2 | 2 | no | — |
| 118 | D848 | — | 2 | 2 | no | — |
| 119 | #13133158 | — | 2 | 2 | no | — |
| 120 | #13133158 | — | 2 | 2 | no | — |
| 121 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 123 | C16×D53 | — | 2 | 2 | no | — |
| 124 | C16×D53 | — | 2 | 2 | no | — |
| 125 | #13133151 | C23 | 1 | 1 | yes | characteristic |
| 126 | #13133150 | — | 2 | 1 | no | — |
| 127 | #13133139 | — | 2 | 1 | no | — |
| 128 | #13133138 | — | 2 | 1 | no | — |
| 129 | #13133137 | — | 2 | 1 | no | — |
| 130 | C2×#41×C53 | — | 2 | 1 | no | — |
| 131 | #135×C53 | — | 2 | 2 | no | — |
| 132 | #135×C53 | — | 2 | 2 | no | — |
| 133 | C2×Q16×C53 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 135 | C2×D8×C53 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×D8×C53 | C23 | 1 | 1 | yes | characteristic |
| 137 | C22×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 138 | #121×C53 | — | 2 | 1 | no | — |
| 139 | SD32×C53 | — | 2 | 2 | no | — |
| 140 | D16×C53 | — | 2 | 2 | no | — |
| 141 | C2×C16×C53 | C23 | 1 | 1 | yes | characteristic |
| 142 | C2×C16×C53 | C23 | 1 | 1 | yes | characteristic |
| 143 | #107×C53 | C23 | 1 | 1 | yes | characteristic |
| 144 | #102×C53 | — | 2 | 1 | no | — |
| 145 | C23×D53 | — | 4 | 1 | no | — |
| 146 | C23×D53 | — | 4 | 1 | no | — |
| 147 | C23×D53 | D8 | 1 | 1 | yes | characteristic |
| 148 | #41×C53 | — | 2 | 4 | no | — |
| 149 | #41×C53 | — | 4 | 2 | no | — |
| 150 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 151 | C2×D4×C53 | — | 2 | 1 | no | — |
| 152 | C2×D4×C53 | — | 2 | 1 | no | — |
| 153 | C2×D4×C53 | — | 4 | 1 | no | — |
| 154 | C2×D4×C53 | — | 4 | 1 | no | — |
| 155 | C22×C4×C53 | — | 4 | 1 | no | — |
| 156 | C22×C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 157 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 158 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 159 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 160 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 161 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 162 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 163 | C22×Dic53 | — | 4 | 1 | no | — |
| 164 | C22×Dic53 | D8 | 1 | 1 | yes | characteristic |
| 165 | #11719949 | — | 2 | 4 | no | — |
| 166 | #11719949 | — | 4 | 2 | no | — |
| 167 | Q8×D53 | — | 2 | 4 | no | — |
| 168 | Q8×D53 | — | 4 | 2 | no | — |
| 169 | #11719947 | — | 2 | 4 | no | — |
| 170 | #11719947 | — | 4 | 2 | no | — |
| 171 | #11719947 | — | 4 | 8 | no | — |
| 172 | D4×D53 | — | 2 | 4 | no | — |
| 173 | D4×D53 | — | 4 | 8 | no | — |
| 174 | D4×D53 | — | 4 | 2 | no | — |
| 175 | D4×D53 | — | 4 | 2 | no | — |
| 176 | D4×D53 | — | 4 | 2 | no | — |
| 177 | D4×D53 | — | 8 | 4 | no | — |
| 178 | #11719945 | — | 2 | 4 | no | — |
| 179 | #11719945 | — | 4 | 8 | no | — |
| 180 | #11719945 | — | 4 | 2 | no | — |
| 181 | C2×D212 | — | 2 | 1 | no | — |
| 182 | C2×D212 | — | 2 | 1 | no | — |
| 183 | C2×D212 | — | 4 | 1 | no | — |
| 184 | C2×D212 | — | 4 | 1 | no | — |
| 185 | C2×C4×D53 | — | 2 | 2 | no | — |
| 186 | C2×C4×D53 | — | 2 | 2 | no | — |
| 187 | C2×C4×D53 | — | 4 | 8 | no | — |
| 188 | C2×C4×D53 | — | 4 | 1 | no | — |
| 189 | C2×C4×D53 | — | 4 | 1 | no | — |
| 190 | C2×C4×D53 | — | 4 | 1 | no | — |
| 191 | C2×C4×D53 | — | 4 | 1 | no | — |
| 192 | C2×C4×D53 | D8 | 1 | 1 | yes | characteristic |
| 193 | C2×C4×D53 | D8 | 1 | 1 | yes | characteristic |
| 194 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C2×Dic106 | — | 2 | 1 | no | — |
| 197 | C2×Dic106 | — | 4 | 1 | no | — |
| 198 | Q16×C53 | — | 2 | 1 | no | — |
| 199 | Q16×C53 | C2×D4 | 1 | 2 | yes | complemented |
| 200 | SD16×C53 | — | 2 | 4 | no | — |
| 201 | D8×C53 | — | 2 | 1 | no | — |
| 202 | D8×C53 | — | 2 | 1 | no | — |
| 203 | D8×C53 | — | 2 | 1 | no | — |
| 204 | D8×C53 | C2×D4 | 1 | 2 | yes | complemented |
| 205 | C2×C8×C53 | — | 2 | 1 | no | — |
| 206 | C2×C8×C53 | — | 2 | 1 | no | — |
| 207 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C2×C8×C53 | C24 | 1 | 1 | yes | characteristic |
| 209 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 210 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 211 | C22⋊Dic53 | — | 4 | 1 | no | — |
| 212 | #11719925 | — | 2 | 4 | no | — |
| 213 | #11719924 | — | 2 | 4 | no | — |
| 214 | #11719923 | — | 2 | 4 | no | — |
| 215 | #11719922 | — | 2 | 4 | no | — |
| 216 | #11719922 | — | 4 | 2 | no | — |
| 217 | #11719921 | — | 4 | 1 | no | — |
| 218 | #11719921 | — | 4 | 1 | no | — |
| 219 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 220 | #11719919 | — | 4 | 1 | no | — |
| 221 | C2×#88322 | — | 2 | 2 | no | — |
| 222 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | Dic212 | — | 2 | 1 | no | — |
| 225 | Dic212 | C2×D4 | 1 | 2 | yes | complemented |
| 226 | D424 | — | 2 | 1 | no | — |
| 227 | D424 | — | 2 | 1 | no | — |
| 228 | D424 | — | 2 | 1 | no | — |
| 229 | D424 | C2×D4 | 1 | 2 | yes | complemented |
| 230 | #11719913 | — | 2 | 4 | no | — |
| 231 | C8×D53 | — | 2 | 2 | no | — |
| 232 | C8×D53 | — | 2 | 1 | no | — |
| 233 | C8×D53 | — | 2 | 1 | no | — |
| 234 | C8×D53 | — | 2 | 2 | no | — |
| 235 | C8×D53 | C2×D4 | 1 | 2 | yes | — |
| 236 | C8×D53 | C2×D4 | 1 | 2 | yes | — |
| 237 | C16×C53 | — | 2 | 1 | no | — |
| 238 | C16×C53 | — | 2 | 1 | no | — |
| 239 | #11719908 | — | 2 | 1 | no | — |
| 240 | #11719908 | — | 2 | 1 | no | — |
| 241 | C23×C53 | — | 4 | 1 | no | — |
| 242 | C23×C53 | — | 4 | 1 | no | — |
| 243 | C23×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 244 | C22×D53 | — | 2 | 2 | no | — |
| 245 | C22×D53 | — | 2 | 2 | no | — |
| 246 | C22×D53 | — | 2 | 2 | no | — |
| 247 | C22×D53 | — | 4 | 1 | no | — |
| 248 | C22×D53 | — | 4 | 4 | no | — |
| 249 | C22×D53 | — | 4 | 1 | no | — |
| 250 | C22×D53 | — | 8 | 2 | no | — |
| 251 | C22×D53 | — | 8 | 2 | no | — |
| 252 | C22×D53 | — | 8 | 2 | no | — |
| 253 | C22×D53 | — | 8 | 2 | no | — |
| 254 | C22×D53 | — | 8 | 2 | no | — |
| 255 | C22×D53 | C2×D8 | 1 | 1 | yes | characteristic |
| 256 | C22×D53 | C2×D8 | 1 | 1 | yes | characteristic |
| 257 | Q8×C53 | — | 2 | 2 | no | — |
| 258 | Q8×C53 | — | 4 | 1 | no | — |
| 259 | D4×C53 | — | 2 | 2 | no | — |
| 260 | D4×C53 | — | 4 | 4 | no | — |
| 261 | D4×C53 | — | 4 | 1 | no | — |
| 262 | D4×C53 | — | 4 | 1 | no | — |
| 263 | D4×C53 | — | 4 | 1 | no | — |
| 264 | D4×C53 | — | 8 | 2 | no | — |
| 265 | C2×C4×C53 | — | 2 | 1 | no | — |
| 266 | C2×C4×C53 | — | 2 | 1 | no | — |
| 267 | C2×C4×C53 | — | 4 | 4 | no | — |
| 268 | C2×C4×C53 | — | 4 | 1 | no | — |
| 269 | C2×C4×C53 | — | 4 | 1 | no | — |
| 270 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 271 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 272 | C22⋊D53 | — | 4 | 4 | no | — |
| 273 | C22⋊D53 | — | 4 | 4 | no | — |
| 274 | C22⋊D53 | — | 4 | 4 | no | — |
| 275 | C22⋊D53 | — | 8 | 2 | no | — |
| 276 | C22⋊D53 | — | 8 | 2 | no | — |
| 277 | C22⋊D53 | — | 8 | 2 | no | — |
| 278 | C2×Dic53 | — | 2 | 2 | no | — |
| 279 | C2×Dic53 | — | 4 | 4 | no | — |
| 280 | C2×Dic53 | — | 4 | 1 | no | — |
| 281 | C2×Dic53 | — | 4 | 1 | no | — |
| 282 | C2×Dic53 | C2×D8 | 1 | 1 | yes | characteristic |
| 283 | C2×Dic53 | C2×D8 | 1 | 1 | yes | characteristic |
| 284 | D212 | — | 2 | 2 | no | — |
| 285 | D212 | — | 4 | 4 | no | — |
| 286 | D212 | — | 4 | 1 | no | — |
| 287 | D212 | — | 4 | 1 | no | — |
| 288 | D212 | — | 4 | 1 | no | — |
| 289 | D212 | — | 8 | 2 | no | — |
| 290 | C4×D53 | — | 2 | 2 | no | — |
| 291 | C4×D53 | — | 2 | 1 | no | — |
| 292 | C4×D53 | — | 2 | 1 | no | — |
| 293 | C4×D53 | — | 2 | 2 | no | — |
| 294 | C4×D53 | — | 4 | 4 | no | — |
| 295 | C4×D53 | — | 4 | 4 | no | — |
| 296 | C4×D53 | — | 4 | 4 | no | — |
| 297 | C4×D53 | — | 8 | 2 | no | — |
| 298 | C4×D53 | #120 | 1 | 2 | yes | — |
| 299 | C4×D53 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 300 | Dic106 | — | 2 | 2 | no | — |
| 301 | Dic106 | — | 4 | 1 | no | — |
| 302 | Dic106 | — | 4 | 4 | no | — |
| 303 | C8×C53 | — | 2 | 1 | no | — |
| 304 | C8×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 305 | C8×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 306 | #88322 | — | 2 | 1 | no | — |
| 307 | #88322 | #120 | 1 | 2 | yes | — |
| 308 | C2×#2186 | — | 53 | 1 | no | maximal, Sylow |
| 309 | C22×C53 | — | 2 | 1 | no | — |
| 310 | C22×C53 | — | 2 | 1 | no | — |
| 311 | C22×C53 | — | 2 | 1 | no | — |
| 312 | C22×C53 | — | 4 | 2 | no | — |
| 313 | C22×C53 | — | 8 | 1 | no | — |
| 314 | C22×C53 | — | 8 | 1 | no | — |
| 315 | C22×C53 | — | 8 | 1 | no | — |
| 316 | C22×C53 | — | 8 | 1 | no | — |
| 317 | C22×C53 | — | 8 | 1 | no | — |
| 318 | C22×C53 | C22×D8 | 1 | 1 | yes | characteristic |
| 319 | C2×D53 | — | 2 | 1 | no | — |
| 320 | C2×D53 | — | 2 | 1 | no | — |
| 321 | C2×D53 | — | 2 | 1 | no | — |
| 322 | C2×D53 | — | 4 | 4 | no | — |
| 323 | C2×D53 | — | 4 | 2 | no | — |
| 324 | C2×D53 | — | 8 | 1 | no | — |
| 325 | C2×D53 | — | 8 | 1 | no | — |
| 326 | C2×D53 | — | 8 | 8 | no | — |
| 327 | C2×D53 | — | 8 | 1 | no | — |
| 328 | C2×D53 | — | 8 | 1 | no | — |
| 329 | C2×D53 | — | 8 | 1 | no | — |
| 330 | C2×D53 | — | 16 | 4 | no | — |
| 331 | C2×D53 | #447 | 1 | 2 | yes | — |
| 332 | C2×D53 | #508 | 1 | 2 | yes | — |
| 333 | C2×D53 | #509 | 1 | 2 | yes | — |
| 334 | C4×C53 | — | 2 | 1 | no | — |
| 335 | C4×C53 | — | 4 | 2 | no | — |
| 336 | C4×C53 | — | 8 | 1 | no | — |
| 337 | C4×C53 | C2×#120 | 1 | 1 | yes | characteristic |
| 338 | C4×C53 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 339 | Dic53 | — | 2 | 1 | no | — |
| 340 | Dic53 | — | 4 | 2 | no | — |
| 341 | Dic53 | — | 8 | 1 | no | — |
| 342 | Dic53 | #447 | 1 | 2 | yes | — |
| 343 | C22×#135 | — | 53 | 1 | no | — |
| 344 | C22×SD32 | — | 53 | 1 | no | — |
| 345 | C22×D16 | — | 53 | 1 | no | — |
| 346 | C2×#466 | — | 53 | 1 | no | — |
| 347 | #2186 | — | 53 | 1 | no | — |
| 348 | #2186 | — | 53 | 1 | no | — |
| 349 | #2186 | — | 53 | 1 | no | — |
| 350 | #2186 | — | 53 | 1 | no | — |
| 351 | #2186 | — | 53 | 1 | no | — |
| 352 | #2186 | — | 53 | 1 | no | — |
| 353 | #2186 | — | 53 | 1 | no | — |
| 354 | #2186 | D53 | 1 | 1 | yes | characteristic, direct product factor |
| 355 | C2×#358 | — | 53 | 1 | no | — |
| 356 | C2×#357 | — | 53 | 1 | no | — |
| 357 | C2×C22⋊C16 | — | 53 | 1 | no | — |
| 358 | C2×C53 | — | 4 | 1 | no | — |
| 359 | C2×C53 | — | 8 | 2 | no | — |
| 360 | C2×C53 | — | 16 | 1 | no | — |
| 361 | C2×C53 | C2×#447 | 1 | 1 | yes | characteristic |
| 362 | C2×C53 | C2×#508 | 1 | 1 | yes | characteristic |
| 363 | C2×C53 | C2×#509 | 1 | 1 | yes | characteristic |
| 364 | D53 | — | 4 | 1 | no | — |
| 365 | D53 | — | 8 | 2 | no | — |
| 366 | D53 | — | 16 | 1 | no | — |
| 367 | D53 | #2186 | 1 | 4 | yes | direct product factor |
| 368 | C22×#41 | — | 106 | 1 | no | — |
| 369 | C2×#135 | — | 53 | 1 | no | — |
| 370 | C2×#135 | — | 53 | 1 | no | — |
| 371 | C2×#135 | — | 53 | 1 | no | — |
| 372 | C2×#135 | — | 106 | 1 | no | — |
| 373 | C2×#135 | — | 106 | 1 | no | — |
| 374 | C2×#135 | — | 106 | 4 | no | — |
| 375 | C2×#135 | — | 106 | 4 | no | — |
| 376 | C2×#135 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 377 | C22×Q16 | — | 53 | 1 | no | — |
| 378 | C22×SD16 | — | 106 | 1 | no | — |
| 379 | C22×D8 | — | 53 | 1 | no | — |
| 380 | C22×D8 | — | 53 | 1 | no | — |
| 381 | C23×C8 | — | 53 | 1 | no | — |
| 382 | C2×#121 | — | 106 | 1 | no | — |
| 383 | C2×SD32 | — | 53 | 1 | no | — |
| 384 | C2×SD32 | — | 53 | 1 | no | — |
| 385 | C2×SD32 | — | 53 | 1 | no | — |
| 386 | C2×SD32 | — | 106 | 4 | no | — |
| 387 | C2×SD32 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 388 | C2×D16 | — | 53 | 1 | no | — |
| 389 | C2×D16 | — | 53 | 1 | no | — |
| 390 | C2×D16 | — | 53 | 1 | no | — |
| 391 | C2×D16 | — | 106 | 4 | no | — |
| 392 | C2×D16 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 393 | C22×C16 | — | 53 | 1 | no | — |
| 394 | C22×C16 | — | 53 | 1 | no | — |
| 395 | #466 | — | 53 | 1 | no | — |
| 396 | #466 | — | 53 | 1 | no | — |
| 397 | #466 | — | 53 | 1 | no | — |
| 398 | #466 | — | 106 | 1 | no | — |
| 399 | #466 | — | 106 | 1 | no | — |
| 400 | #466 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 401 | C2×#107 | — | 53 | 1 | no | — |
| 402 | C2×#102 | — | 106 | 1 | no | — |
| 403 | #358 | — | 53 | 1 | no | — |
| 404 | #358 | — | 53 | 1 | no | — |
| 405 | #358 | — | 53 | 1 | no | — |
| 406 | #358 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 407 | #357 | — | 53 | 1 | no | — |
| 408 | #357 | — | 53 | 1 | no | — |
| 409 | #357 | — | 53 | 1 | no | — |
| 410 | #357 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 411 | C22⋊C16 | — | 53 | 1 | no | — |
| 412 | C22⋊C16 | — | 53 | 1 | no | — |
| 413 | C22⋊C16 | — | 53 | 1 | no | — |
| 414 | C22⋊C16 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 415 | C53 | C2×#2186 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 416 | C2×#41 | — | 2 | 1 | no | — |
| 417 | C2×#41 | — | 106 | 1 | no | — |
| 418 | C2×#41 | — | 106 | 1 | no | — |
| 419 | C2×#41 | — | 106 | 8 | no | — |
| 420 | C2×#41 | — | 106 | 1 | no | — |
| 421 | C2×#41 | — | 212 | 1 | no | — |
| 422 | C2×#41 | — | 212 | 1 | no | — |
| 423 | C2×#41 | — | 212 | 4 | no | — |
| 424 | C22×Q8 | — | 106 | 1 | no | — |
| 425 | C22×D4 | — | 106 | 1 | no | — |
| 426 | C22×D4 | — | 106 | 1 | no | — |
| 427 | C22×D4 | — | 212 | 1 | no | — |
| 428 | C22×D4 | — | 212 | 1 | no | — |
| 429 | C23×C4 | — | 53 | 1 | no | — |
| 430 | C23×C4 | — | 212 | 1 | no | — |
| 431 | #135 | — | 2 | 2 | no | — |
| 432 | #135 | — | 2 | 2 | no | — |
| 433 | #135 | — | 106 | 2 | no | — |
| 434 | #135 | — | 106 | 2 | no | — |
| 435 | #135 | — | 106 | 2 | no | — |
| 436 | #135 | — | 106 | 2 | no | — |
| 437 | #135 | — | 106 | 8 | no | — |
| 438 | #135 | — | 106 | 8 | no | — |
| 439 | #135 | — | 106 | 2 | no | — |
| 440 | #135 | — | 106 | 2 | no | — |
| 441 | C2×Q16 | — | 53 | 4 | no | — |
| 442 | C2×Q16 | — | 53 | 1 | no | — |
| 443 | C2×Q16 | — | 106 | 2 | no | — |
| 444 | C2×Q16 | — | 106 | 1 | no | — |
| 445 | C2×Q16 | C22×D53 | 1 | 1 | yes | characteristic |
| 446 | C2×SD16 | — | 2 | 1 | no | — |
| 447 | C2×SD16 | — | 106 | 1 | no | — |
| 448 | C2×SD16 | — | 106 | 1 | no | — |
| 449 | C2×SD16 | — | 106 | 8 | no | — |
| 450 | C2×SD16 | — | 106 | 1 | no | — |
| 451 | C2×D8 | — | 53 | 4 | no | — |
| 452 | C2×D8 | — | 53 | 1 | no | — |
| 453 | C2×D8 | — | 53 | 1 | no | — |
| 454 | C2×D8 | — | 106 | 2 | no | — |
| 455 | C2×D8 | — | 106 | 2 | no | — |
| 456 | C2×D8 | — | 106 | 2 | no | — |
| 457 | C2×D8 | — | 106 | 1 | no | — |
| 458 | C2×D8 | — | 106 | 1 | no | — |
| 459 | C2×D8 | C22×D53 | 1 | 1 | yes | characteristic |
| 460 | C2×D8 | C22×D53 | 1 | 1 | yes | characteristic |
| 461 | C22×C8 | — | 53 | 1 | no | — |
| 462 | C22×C8 | — | 53 | 1 | no | — |
| 463 | C22×C8 | — | 53 | 1 | no | — |
| 464 | C22×C8 | — | 53 | 1 | no | — |
| 465 | C22×C8 | — | 53 | 1 | no | — |
| 466 | C22×C8 | — | 106 | 2 | no | — |
| 467 | C22×C8 | — | 106 | 2 | no | — |
| 468 | C22×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 469 | #121 | — | 2 | 1 | no | — |
| 470 | #121 | — | 106 | 1 | no | — |
| 471 | #121 | — | 106 | 1 | no | — |
| 472 | #121 | — | 106 | 1 | no | — |
| 473 | #121 | — | 212 | 1 | no | — |
| 474 | #121 | — | 212 | 1 | no | — |
| 475 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 476 | C2×C22⋊C4 | — | 212 | 1 | no | — |
| 477 | SD32 | — | 2 | 2 | no | — |
| 478 | SD32 | — | 106 | 2 | no | — |
| 479 | SD32 | — | 106 | 2 | no | — |
| 480 | SD32 | — | 106 | 2 | no | — |
| 481 | D16 | — | 2 | 2 | no | — |
| 482 | D16 | — | 106 | 2 | no | — |
| 483 | D16 | — | 106 | 2 | no | — |
| 484 | D16 | — | 106 | 2 | no | — |
| 485 | C2×C16 | — | 53 | 1 | no | — |
| 486 | C2×C16 | — | 53 | 1 | no | — |
| 487 | C2×C16 | — | 106 | 2 | no | — |
| 488 | C2×C16 | — | 106 | 2 | no | — |
| 489 | C2×C16 | C22×D53 | 1 | 1 | yes | characteristic |
| 490 | C2×C16 | C22×D53 | 1 | 1 | yes | characteristic |
| 491 | #107 | — | 53 | 1 | no | — |
| 492 | #107 | — | 106 | 1 | no | — |
| 493 | #107 | C22×D53 | 1 | 1 | yes | characteristic |
| 494 | #102 | — | 2 | 1 | no | — |
| 495 | #102 | — | 106 | 1 | no | — |
| 496 | #102 | — | 106 | 1 | no | — |
| 497 | #102 | — | 106 | 1 | no | — |
| 498 | C24 | — | 53 | 1 | no | — |
| 499 | C24 | — | 212 | 1 | no | — |
| 500 | C24 | — | 212 | 1 | no | — |
| 501 | #41 | — | 2 | 4 | no | — |
| 502 | #41 | — | 4 | 2 | no | — |
| 503 | #41 | — | 106 | 4 | no | — |
| 504 | #41 | — | 106 | 4 | no | — |
| 505 | #41 | — | 106 | 4 | no | — |
| 506 | #41 | — | 212 | 2 | no | — |
| 507 | #41 | — | 212 | 8 | no | — |
| 508 | #41 | — | 212 | 8 | no | — |
| 509 | #41 | — | 212 | 2 | no | — |
| 510 | #41 | — | 212 | 2 | no | — |
| 511 | C2×Q8 | — | 2 | 1 | no | — |
| 512 | C2×Q8 | — | 106 | 4 | no | — |
| 513 | C2×Q8 | — | 106 | 1 | no | — |
| 514 | C2×Q8 | — | 212 | 1 | no | — |
| 515 | C2×Q8 | — | 212 | 2 | no | — |
| 516 | C2×D4 | — | 2 | 1 | no | — |
| 517 | C2×D4 | — | 2 | 1 | no | — |
| 518 | C2×D4 | — | 4 | 1 | no | — |
| 519 | C2×D4 | — | 4 | 1 | no | — |
| 520 | C2×D4 | — | 106 | 4 | no | — |
| 521 | C2×D4 | — | 106 | 1 | no | — |
| 522 | C2×D4 | — | 106 | 1 | no | — |
| 523 | C2×D4 | — | 424 | 4 | no | — |
| 524 | C2×D4 | — | 212 | 1 | no | — |
| 525 | C2×D4 | — | 212 | 1 | no | — |
| 526 | C2×D4 | — | 212 | 2 | no | — |
| 527 | C2×D4 | — | 212 | 2 | no | — |
| 528 | C2×D4 | — | 212 | 2 | no | — |
| 529 | C2×D4 | — | 212 | 1 | no | — |
| 530 | C2×D4 | — | 212 | 1 | no | — |
| 531 | C2×D4 | — | 212 | 8 | no | — |
| 532 | C2×D4 | — | 212 | 1 | no | — |
| 533 | C2×D4 | — | 212 | 1 | no | — |
| 534 | C2×D4 | — | 212 | 1 | no | — |
| 535 | C2×D4 | — | 212 | 1 | no | — |
| 536 | C22×C4 | — | 4 | 1 | no | — |
| 537 | C22×C4 | — | 53 | 1 | no | — |
| 538 | C22×C4 | — | 53 | 1 | no | — |
| 539 | C22×C4 | — | 53 | 1 | no | — |
| 540 | C22×C4 | — | 53 | 1 | no | — |
| 541 | C22×C4 | — | 53 | 1 | no | — |
| 542 | C22×C4 | — | 106 | 2 | no | — |
| 543 | C22×C4 | — | 106 | 2 | no | — |
| 544 | C22×C4 | — | 212 | 1 | no | — |
| 545 | C22×C4 | — | 212 | 8 | no | — |
| 546 | C22×C4 | — | 212 | 1 | no | — |
| 547 | C22×C4 | — | 212 | 1 | no | — |
| 548 | C22×C4 | — | 212 | 1 | no | — |
| 549 | C22×C4 | — | 212 | 1 | no | — |
| 550 | C22×C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 551 | Q16 | — | 2 | 1 | no | — |
| 552 | Q16 | — | 53 | 2 | no | — |
| 553 | Q16 | — | 106 | 4 | no | — |
| 554 | Q16 | — | 106 | 1 | no | — |
| 555 | Q16 | D4×D53 | 1 | 2 | yes | complemented |
| 556 | SD16 | — | 2 | 4 | no | — |
| 557 | SD16 | — | 106 | 4 | no | — |
| 558 | SD16 | — | 106 | 4 | no | — |
| 559 | SD16 | — | 106 | 4 | no | — |
| 560 | D8 | — | 2 | 1 | no | — |
| 561 | D8 | — | 2 | 1 | no | — |
| 562 | D8 | — | 2 | 1 | no | — |
| 563 | D8 | — | 53 | 2 | no | — |
| 564 | D8 | — | 106 | 4 | no | — |
| 565 | D8 | — | 106 | 1 | no | — |
| 566 | D8 | — | 106 | 1 | no | — |
| 567 | D8 | — | 106 | 1 | no | — |
| 568 | D8 | — | 212 | 2 | no | — |
| 569 | D8 | D4×D53 | 1 | 2 | yes | complemented |
| 570 | C2×C8 | — | 2 | 1 | no | — |
| 571 | C2×C8 | — | 2 | 1 | no | — |
| 572 | C2×C8 | — | 53 | 1 | no | — |
| 573 | C2×C8 | — | 53 | 2 | no | — |
| 574 | C2×C8 | — | 53 | 2 | no | — |
| 575 | C2×C8 | — | 53 | 1 | no | — |
| 576 | C2×C8 | — | 106 | 2 | no | — |
| 577 | C2×C8 | — | 106 | 2 | no | — |
| 578 | C2×C8 | — | 106 | 2 | no | — |
| 579 | C2×C8 | — | 106 | 1 | no | — |
| 580 | C2×C8 | — | 106 | 1 | no | — |
| 581 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 582 | C2×C8 | C23×D53 | 1 | 1 | yes | characteristic |
| 583 | C4⋊C4 | — | 2 | 1 | no | — |
| 584 | C4⋊C4 | — | 106 | 1 | no | — |
| 585 | C4⋊C4 | — | 212 | 1 | no | — |
| 586 | C22⋊C4 | — | 4 | 1 | no | — |
| 587 | C22⋊C4 | — | 212 | 1 | no | — |
| 588 | C22⋊C4 | — | 212 | 1 | no | — |
| 589 | C22⋊C4 | — | 212 | 1 | no | — |
| 590 | C16 | — | 2 | 1 | no | — |
| 591 | C16 | — | 2 | 1 | no | — |
| 592 | C16 | — | 106 | 1 | no | — |
| 593 | C16 | — | 106 | 1 | no | — |
| 594 | C23 | — | 4 | 1 | no | — |
| 595 | C23 | — | 4 | 1 | no | — |
| 596 | C23 | — | 53 | 1 | no | — |
| 597 | C23 | — | 53 | 1 | no | — |
| 598 | C23 | — | 106 | 2 | no | — |
| 599 | C23 | — | 106 | 2 | no | — |
| 600 | C23 | — | 106 | 2 | no | — |
| 601 | C23 | — | 424 | 2 | no | — |
| 602 | C23 | — | 424 | 2 | no | — |
| 603 | C23 | — | 424 | 2 | no | — |
| 604 | C23 | — | 424 | 2 | no | — |
| 605 | C23 | — | 424 | 2 | no | — |
| 606 | C23 | — | 212 | 4 | no | — |
| 607 | C23 | — | 212 | 1 | no | — |
| 608 | C23 | — | 212 | 1 | no | — |
| 609 | C23 | D8×D53 | 1 | 1 | yes | characteristic |
| 610 | Q8 | — | 2 | 2 | no | — |
| 611 | Q8 | — | 4 | 1 | no | — |
| 612 | Q8 | — | 106 | 2 | no | — |
| 613 | Q8 | — | 212 | 4 | no | — |
| 614 | Q8 | — | 212 | 1 | no | — |
| 615 | D4 | — | 2 | 2 | no | — |
| 616 | D4 | — | 4 | 4 | no | — |
| 617 | D4 | — | 4 | 1 | no | — |
| 618 | D4 | — | 4 | 1 | no | — |
| 619 | D4 | — | 4 | 1 | no | — |
| 620 | D4 | — | 8 | 2 | no | — |
| 621 | D4 | — | 106 | 2 | no | — |
| 622 | D4 | — | 424 | 2 | no | — |
| 623 | D4 | — | 424 | 2 | no | — |
| 624 | D4 | — | 424 | 2 | no | — |
| 625 | D4 | — | 424 | 2 | no | — |
| 626 | D4 | — | 212 | 4 | no | — |
| 627 | D4 | — | 212 | 4 | no | — |
| 628 | D4 | — | 212 | 4 | no | — |
| 629 | D4 | — | 212 | 4 | no | — |
| 630 | D4 | — | 212 | 1 | no | — |
| 631 | D4 | — | 212 | 1 | no | — |
| 632 | D4 | — | 212 | 1 | no | — |
| 633 | C2×C4 | — | 2 | 1 | no | — |
| 634 | C2×C4 | — | 2 | 1 | no | — |
| 635 | C2×C4 | — | 4 | 4 | no | — |
| 636 | C2×C4 | — | 4 | 1 | no | — |
| 637 | C2×C4 | — | 4 | 1 | no | — |
| 638 | C2×C4 | — | 53 | 1 | no | — |
| 639 | C2×C4 | — | 53 | 2 | no | — |
| 640 | C2×C4 | — | 53 | 2 | no | — |
| 641 | C2×C4 | — | 53 | 1 | no | — |
| 642 | C2×C4 | — | 106 | 2 | no | — |
| 643 | C2×C4 | — | 106 | 2 | no | — |
| 644 | C2×C4 | — | 106 | 2 | no | — |
| 645 | C2×C4 | — | 106 | 1 | no | — |
| 646 | C2×C4 | — | 106 | 1 | no | — |
| 647 | C2×C4 | — | 424 | 2 | no | — |
| 648 | C2×C4 | — | 212 | 4 | no | — |
| 649 | C2×C4 | — | 212 | 4 | no | — |
| 650 | C2×C4 | — | 212 | 4 | no | — |
| 651 | C2×C4 | — | 212 | 4 | no | — |
| 652 | C2×C4 | — | 212 | 1 | no | — |
| 653 | C2×C4 | — | 212 | 1 | no | — |
| 654 | C2×C4 | D8×D53 | 1 | 1 | yes | characteristic |
| 655 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 656 | C8 | — | 2 | 1 | no | — |
| 657 | C8 | — | 53 | 2 | no | — |
| 658 | C8 | — | 106 | 1 | no | — |
| 659 | C8 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 660 | C8 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 661 | C22 | — | 2 | 1 | no | — |
| 662 | C22 | — | 2 | 1 | no | — |
| 663 | C22 | — | 2 | 1 | no | — |
| 664 | C22 | — | 4 | 2 | no | — |
| 665 | C22 | — | 8 | 1 | no | — |
| 666 | C22 | — | 8 | 1 | no | — |
| 667 | C22 | — | 8 | 1 | no | — |
| 668 | C22 | — | 8 | 1 | no | — |
| 669 | C22 | — | 8 | 1 | no | — |
| 670 | C22 | — | 53 | 2 | no | — |
| 671 | C22 | — | 53 | 2 | no | — |
| 672 | C22 | — | 53 | 2 | no | — |
| 673 | C22 | — | 848 | 4 | no | — |
| 674 | C22 | — | 106 | 1 | no | — |
| 675 | C22 | — | 106 | 1 | no | — |
| 676 | C22 | — | 106 | 1 | no | — |
| 677 | C22 | — | 424 | 8 | no | — |
| 678 | C22 | — | 424 | 1 | no | — |
| 679 | C22 | — | 424 | 1 | no | — |
| 680 | C22 | — | 424 | 1 | no | — |
| 681 | C22 | — | 424 | 1 | no | — |
| 682 | C22 | — | 424 | 1 | no | — |
| 683 | C22 | — | 212 | 4 | no | — |
| 684 | C22 | — | 212 | 2 | no | — |
| 685 | C22 | C2×D8×D53 | 1 | 1 | yes | characteristic |
| 686 | C4 | — | 2 | 1 | no | — |
| 687 | C4 | — | 4 | 2 | no | — |
| 688 | C4 | — | 8 | 1 | no | — |
| 689 | C4 | — | 53 | 2 | no | — |
| 690 | C4 | — | 106 | 1 | no | — |
| 691 | C4 | — | 424 | 1 | no | — |
| 692 | C4 | — | 212 | 2 | no | — |
| 693 | C4 | #120×D53 | 1 | 1 | yes | characteristic |
| 694 | C4 | AGL(1,ℤ/8)×D53 | 1 | 1 | yes | characteristic |
| 695 | C2 | — | 4 | 1 | no | — |
| 696 | C2 | — | 8 | 2 | no | — |
| 697 | C2 | — | 16 | 1 | no | — |
| 698 | C2 | — | 53 | 4 | no | — |
| 699 | C2 | — | 848 | 1 | no | — |
| 700 | C2 | — | 424 | 2 | no | — |
| 701 | C2 | — | 212 | 1 | no | — |
| 702 | C2 | #447×D53 | 1 | 1 | yes | characteristic |
| 703 | C2 | #508×D53 | 1 | 1 | yes | characteristic |
| 704 | C2 | #509×D53 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta