| 1 | #20285247 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #20283631 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #20276890 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #20276885 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | C2×#16810447 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20276480 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20276450 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×#16810434 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | C53×#2155 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#13133239 | C22 | 1 | 1 | yes | characteristic |
| 11 | #16811389 | — | 2 | 1 | no | — |
| 12 | #16811251 | — | 2 | 1 | no | — |
| 13 | C2×#13133157 | C22 | 1 | 1 | yes | characteristic |
| 14 | #16811031 | — | 2 | 2 | no | — |
| 15 | #16811023 | C22 | 1 | 2 | yes | complemented |
| 16 | #16811020 | C22 | 1 | 2 | yes | complemented |
| 17 | #16810744 | — | 2 | 2 | no | — |
| 18 | #16810739 | C22 | 1 | 4 | yes | — |
| 19 | #16810666 | — | 2 | 1 | no | — |
| 20 | C2×#13133149 | C22 | 1 | 1 | yes | characteristic |
| 21 | #16810639 | — | 2 | 1 | no | — |
| 22 | #16810578 | C22 | 1 | 1 | yes | characteristic |
| 23 | #16810447 | C22 | 1 | 4 | yes | complemented |
| 24 | #16810443 | C22 | 1 | 4 | yes | complemented |
| 25 | #16810434 | C22 | 1 | 4 | yes | — |
| 26 | #16810432 | C22 | 1 | 2 | yes | — |
| 27 | #16810432 | C22 | 1 | 2 | yes | — |
| 28 | C2×M32×C53 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#108×C53 | C22 | 1 | 1 | yes | characteristic |
| 30 | C53×#427 | C22 | 1 | 1 | yes | characteristic |
| 31 | C53×#365 | C22 | 1 | 2 | yes | complemented |
| 32 | C53×#365 | C22 | 1 | 2 | yes | complemented |
| 33 | C2×#11719945 | — | 2 | 1 | no | — |
| 34 | #13133239 | — | 2 | 1 | no | — |
| 35 | #13133239 | — | 2 | 1 | no | — |
| 36 | #13133239 | Q8 | 1 | 2 | yes | complemented |
| 37 | #13133239 | C23 | 1 | 2 | yes | — |
| 38 | C2×Dic212 | Q8 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×#11719913 | — | 2 | 1 | no | — |
| 40 | C2×D424 | Q8 | 1 | 1 | yes | characteristic, complemented |
| 41 | #13133225 | — | 2 | 4 | no | — |
| 42 | #13133223 | — | 4 | 2 | no | — |
| 43 | C2×#11719917 | D4 | 1 | 1 | yes | characteristic |
| 44 | M16×D53 | — | 4 | 2 | no | — |
| 45 | #13133217 | — | 4 | 1 | no | — |
| 46 | #13133216 | — | 2 | 2 | no | — |
| 47 | #13133209 | — | 4 | 1 | no | — |
| 48 | #13133208 | — | 2 | 2 | no | — |
| 49 | #13133194 | — | 4 | 2 | no | — |
| 50 | #13133176 | D4 | 1 | 1 | yes | characteristic |
| 51 | C2×C4⋊Dic53 | — | 2 | 1 | no | — |
| 52 | #13133157 | — | 2 | 1 | no | — |
| 53 | #13133157 | C23 | 1 | 2 | yes | — |
| 54 | C2×#11719908 | — | 2 | 1 | no | — |
| 55 | #13133150 | — | 2 | 2 | no | — |
| 56 | #13133149 | — | 2 | 1 | no | — |
| 57 | #13133149 | C23 | 1 | 2 | yes | — |
| 58 | #13133148 | — | 2 | 2 | no | — |
| 59 | #13133143 | — | 2 | 4 | no | — |
| 60 | #13133127 | D4 | 1 | 2 | yes | — |
| 61 | C8×Dic53 | C23 | 1 | 2 | yes | — |
| 62 | C2×M16×C53 | — | 2 | 1 | no | — |
| 63 | C22×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 64 | #117×C53 | — | 2 | 1 | no | — |
| 65 | M32×C53 | — | 2 | 1 | no | — |
| 66 | M32×C53 | C23 | 1 | 2 | yes | — |
| 67 | C2×C16×C53 | — | 2 | 1 | no | — |
| 68 | #108×C53 | — | 2 | 1 | no | — |
| 69 | #108×C53 | C23 | 1 | 2 | yes | — |
| 70 | #107×C53 | — | 2 | 1 | no | — |
| 71 | #106×C53 | C23 | 1 | 1 | yes | characteristic |
| 72 | #106×C53 | C23 | 1 | 1 | yes | characteristic |
| 73 | C22×C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 74 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 75 | C22×Dic53 | — | 4 | 1 | no | — |
| 76 | #11719945 | — | 2 | 2 | no | — |
| 77 | #11719945 | — | 2 | 2 | no | — |
| 78 | #11719945 | — | 4 | 1 | no | — |
| 79 | #11719945 | — | 4 | 1 | no | — |
| 80 | C2×D212 | — | 2 | 1 | no | — |
| 81 | C2×C4×D53 | — | 4 | 1 | no | — |
| 82 | C2×Dic106 | — | 2 | 1 | no | — |
| 83 | C2×Dic106 | — | 4 | 2 | no | — |
| 84 | M16×C53 | — | 2 | 2 | no | — |
| 85 | M16×C53 | — | 4 | 1 | no | — |
| 86 | C2×C8×C53 | — | 4 | 1 | no | — |
| 87 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 88 | C2×C8×C53 | C2×Q8 | 1 | 1 | yes | characteristic |
| 89 | C2×C8×C53 | C2×Q8 | 1 | 1 | yes | characteristic |
| 90 | C2×C8×C53 | #41 | 1 | 1 | yes | characteristic |
| 91 | C2×C8×C53 | #41 | 1 | 1 | yes | characteristic |
| 92 | C2×C8×C53 | C24 | 1 | 1 | yes | characteristic |
| 93 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 94 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 95 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 96 | C42×C53 | — | 4 | 1 | no | — |
| 97 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 98 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 99 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 100 | C4⋊Dic53 | — | 4 | 2 | no | — |
| 101 | C4⋊Dic53 | — | 4 | 1 | no | — |
| 102 | #11719919 | — | 4 | 2 | no | — |
| 103 | #11719919 | — | 4 | 2 | no | — |
| 104 | C4×Dic53 | C2×D4 | 1 | 2 | yes | — |
| 105 | #11719917 | SD16 | 1 | 2 | yes | — |
| 106 | #11719917 | SD16 | 1 | 2 | yes | — |
| 107 | C2×#88322 | C2×D4 | 1 | 2 | yes | — |
| 108 | Dic212 | — | 2 | 1 | no | — |
| 109 | Dic212 | C2×Q8 | 1 | 2 | yes | — |
| 110 | D424 | — | 2 | 1 | no | — |
| 111 | D424 | C2×Q8 | 1 | 2 | yes | — |
| 112 | #11719913 | — | 2 | 2 | no | — |
| 113 | #11719913 | — | 2 | 2 | no | — |
| 114 | #11719912 | — | 4 | 4 | no | — |
| 115 | C8×D53 | — | 4 | 4 | no | — |
| 116 | C16×C53 | — | 2 | 2 | no | — |
| 117 | #11719908 | — | 2 | 2 | no | — |
| 118 | C23×C53 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 119 | C22×D53 | — | 4 | 1 | no | — |
| 120 | C2×C4×C53 | — | 4 | 1 | no | — |
| 121 | C2×C4×C53 | — | 4 | 1 | no | — |
| 122 | C2×C4×C53 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 123 | C2×C4×C53 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 124 | C2×C4×C53 | C2×SD16 | 1 | 1 | yes | characteristic |
| 125 | C2×C4×C53 | C2×SD16 | 1 | 1 | yes | characteristic |
| 126 | C2×C4×C53 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 127 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 128 | C22⋊D53 | — | 4 | 2 | no | — |
| 129 | C22⋊D53 | — | 4 | 2 | no | — |
| 130 | C2×Dic53 | — | 2 | 2 | no | — |
| 131 | C2×Dic53 | — | 4 | 1 | no | — |
| 132 | C2×Dic53 | — | 4 | 2 | no | — |
| 133 | C2×Dic53 | — | 16 | 1 | no | — |
| 134 | D212 | — | 2 | 2 | no | — |
| 135 | D212 | — | 4 | 1 | no | — |
| 136 | C4×D53 | — | 4 | 2 | no | — |
| 137 | C4×D53 | — | 4 | 2 | no | — |
| 138 | Dic106 | — | 2 | 2 | no | — |
| 139 | Dic106 | — | 4 | 1 | no | — |
| 140 | Dic106 | — | 16 | 2 | no | — |
| 141 | C8×C53 | — | 4 | 2 | no | — |
| 142 | C8×C53 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 143 | C8×C53 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 144 | C8×C53 | C22×Q8 | 1 | 1 | yes | characteristic |
| 145 | C8×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 146 | #88322 | C2×SD16 | 1 | 4 | yes | — |
| 147 | #33638 | — | 53 | 1 | no | maximal, Sylow |
| 148 | C22×C53 | — | 4 | 1 | no | — |
| 149 | C22×C53 | #476 | 1 | 1 | yes | characteristic |
| 150 | C22×C53 | #476 | 1 | 1 | yes | characteristic |
| 151 | C22×C53 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 152 | C2×D53 | — | 4 | 2 | no | — |
| 153 | C2×D53 | — | 16 | 1 | no | — |
| 154 | C4×C53 | — | 8 | 1 | no | — |
| 155 | C4×C53 | — | 8 | 1 | no | — |
| 156 | C4×C53 | #476 | 1 | 1 | yes | characteristic |
| 157 | C4×C53 | #476 | 1 | 1 | yes | characteristic |
| 158 | C4×C53 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 159 | C4×C53 | C22×SD16 | 1 | 1 | yes | characteristic |
| 160 | Dic53 | — | 4 | 2 | no | — |
| 161 | Dic53 | — | 4 | 2 | no | — |
| 162 | Dic53 | — | 8 | 2 | no | — |
| 163 | #3163 | — | 53 | 1 | no | — |
| 164 | #2957 | — | 53 | 1 | no | — |
| 165 | #2231 | — | 53 | 4 | no | — |
| 166 | #2230 | — | 53 | 4 | no | — |
| 167 | #2155 | D53 | 1 | 1 | yes | characteristic, complemented |
| 168 | C2×#365 | — | 53 | 1 | no | — |
| 169 | #2153 | — | 53 | 1 | no | — |
| 170 | #2145 | — | 53 | 1 | no | — |
| 171 | C2×#360 | — | 53 | 1 | no | — |
| 172 | C2×C53 | — | 2 | 1 | no | — |
| 173 | C2×C53 | — | 2 | 1 | no | — |
| 174 | C2×C53 | — | 2 | 1 | no | — |
| 175 | C2×C53 | C2×#476 | 1 | 1 | yes | characteristic |
| 176 | D53 | — | 8 | 2 | no | — |
| 177 | C2×#135 | — | 53 | 1 | no | — |
| 178 | #568 | — | 106 | 1 | no | — |
| 179 | #544 | — | 106 | 1 | no | — |
| 180 | C2×M32 | — | 53 | 1 | no | — |
| 181 | C2×M32 | C2×D53 | 1 | 1 | yes | characteristic |
| 182 | #501 | — | 106 | 2 | no | — |
| 183 | #499 | — | 53 | 2 | no | — |
| 184 | #498 | — | 53 | 2 | no | — |
| 185 | #444 | — | 106 | 2 | no | — |
| 186 | #443 | — | 53 | 4 | no | — |
| 187 | C2×#108 | C2×D53 | 1 | 1 | yes | characteristic |
| 188 | #428 | — | 106 | 1 | no | — |
| 189 | #427 | C2×D53 | 1 | 1 | yes | characteristic |
| 190 | C2×#106 | — | 53 | 1 | no | — |
| 191 | #421 | — | 106 | 1 | no | — |
| 192 | #405 | — | 53 | 1 | no | — |
| 193 | #365 | — | 53 | 4 | no | — |
| 194 | #365 | C2×D53 | 1 | 2 | yes | complemented |
| 195 | #365 | C2×D53 | 1 | 2 | yes | complemented |
| 196 | #364 | — | 53 | 4 | no | — |
| 197 | #360 | — | 53 | 4 | no | — |
| 198 | #360 | — | 53 | 2 | no | — |
| 199 | #360 | — | 53 | 2 | no | — |
| 200 | C53 | #33638 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 201 | C2×#41 | — | 106 | 1 | no | — |
| 202 | #135 | — | 53 | 2 | no | — |
| 203 | #135 | — | 53 | 2 | no | — |
| 204 | #135 | — | 106 | 1 | no | — |
| 205 | #135 | — | 106 | 1 | no | — |
| 206 | C2×Q16 | — | 53 | 1 | no | — |
| 207 | C2×SD16 | — | 106 | 1 | no | — |
| 208 | C2×D8 | — | 53 | 1 | no | — |
| 209 | #131 | — | 106 | 4 | no | — |
| 210 | #131 | — | 212 | 2 | no | — |
| 211 | C2×M16 | — | 2 | 1 | no | — |
| 212 | C2×M16 | — | 53 | 1 | no | — |
| 213 | C2×M16 | — | 212 | 2 | no | — |
| 214 | C22×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 215 | C4⋊Q8 | — | 106 | 2 | no | — |
| 216 | C4⋊Q8 | — | 212 | 1 | no | — |
| 217 | #125 | — | 106 | 2 | no | — |
| 218 | #125 | — | 212 | 1 | no | — |
| 219 | C22⋊Q8 | — | 212 | 2 | no | — |
| 220 | #117 | — | 2 | 1 | no | — |
| 221 | #117 | — | 53 | 1 | no | — |
| 222 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 223 | M32 | — | 2 | 1 | no | — |
| 224 | M32 | — | 53 | 2 | no | — |
| 225 | M32 | — | 106 | 1 | no | — |
| 226 | M32 | C22×D53 | 1 | 2 | yes | — |
| 227 | C2×C16 | — | 2 | 1 | no | — |
| 228 | C2×C16 | — | 106 | 1 | no | — |
| 229 | #108 | — | 2 | 1 | no | — |
| 230 | #108 | C22×D53 | 1 | 2 | yes | — |
| 231 | #107 | — | 2 | 1 | no | — |
| 232 | #107 | — | 106 | 2 | no | — |
| 233 | #106 | — | 53 | 2 | no | — |
| 234 | #106 | — | 106 | 2 | no | — |
| 235 | #106 | — | 106 | 1 | no | — |
| 236 | #106 | C22×D53 | 1 | 1 | yes | characteristic |
| 237 | #106 | C22×D53 | 1 | 1 | yes | characteristic |
| 238 | #104 | — | 106 | 4 | no | — |
| 239 | #97 | — | 53 | 2 | no | — |
| 240 | C4×C8 | — | 53 | 2 | no | — |
| 241 | #41 | — | 106 | 2 | no | — |
| 242 | #41 | — | 106 | 2 | no | — |
| 243 | #41 | — | 212 | 1 | no | — |
| 244 | #41 | — | 212 | 1 | no | — |
| 245 | C2×Q8 | — | 106 | 1 | no | — |
| 246 | C2×Q8 | — | 212 | 2 | no | — |
| 247 | C2×D4 | — | 106 | 1 | no | — |
| 248 | C2×D4 | — | 212 | 1 | no | — |
| 249 | C22×C4 | — | 212 | 1 | no | — |
| 250 | C22×C4 | — | 212 | 1 | no | — |
| 251 | C22×C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 252 | Q16 | — | 53 | 2 | no | — |
| 253 | Q16 | — | 106 | 1 | no | — |
| 254 | SD16 | — | 106 | 2 | no | — |
| 255 | SD16 | — | 106 | 2 | no | — |
| 256 | D8 | — | 53 | 2 | no | — |
| 257 | D8 | — | 106 | 1 | no | — |
| 258 | M16 | — | 2 | 2 | no | — |
| 259 | M16 | — | 4 | 1 | no | — |
| 260 | M16 | — | 53 | 2 | no | — |
| 261 | M16 | — | 53 | 2 | no | — |
| 262 | M16 | — | 212 | 4 | no | — |
| 263 | C2×C8 | — | 4 | 1 | no | — |
| 264 | C2×C8 | — | 53 | 2 | no | — |
| 265 | C2×C8 | — | 212 | 4 | no | — |
| 266 | C2×C8 | #11719945 | 1 | 1 | yes | characteristic |
| 267 | C2×C8 | #11719945 | 1 | 1 | yes | characteristic |
| 268 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 269 | C2×C8 | Q8×D53 | 1 | 1 | yes | characteristic |
| 270 | C2×C8 | Q8×D53 | 1 | 1 | yes | characteristic |
| 271 | C2×C8 | C23×D53 | 1 | 1 | yes | characteristic |
| 272 | C4⋊C4 | — | 2 | 1 | no | — |
| 273 | C4⋊C4 | — | 2 | 1 | no | — |
| 274 | C4⋊C4 | — | 106 | 1 | no | — |
| 275 | C4⋊C4 | — | 106 | 2 | no | — |
| 276 | C4⋊C4 | — | 212 | 2 | no | — |
| 277 | C4⋊C4 | — | 212 | 2 | no | — |
| 278 | C4⋊C4 | — | 212 | 2 | no | — |
| 279 | C4⋊C4 | — | 212 | 1 | no | — |
| 280 | C22⋊C4 | — | 4 | 1 | no | — |
| 281 | C22⋊C4 | — | 106 | 1 | no | — |
| 282 | C42 | — | 4 | 1 | no | — |
| 283 | C42 | — | 53 | 2 | no | — |
| 284 | C16 | — | 2 | 2 | no | — |
| 285 | C16 | — | 106 | 2 | no | — |
| 286 | C23 | — | 212 | 1 | no | — |
| 287 | C23 | #13133244 | 1 | 1 | yes | characteristic |
| 288 | Q8 | — | 848 | 2 | no | — |
| 289 | Q8 | — | 106 | 2 | no | — |
| 290 | Q8 | — | 212 | 1 | no | — |
| 291 | D4 | — | 106 | 2 | no | — |
| 292 | D4 | — | 212 | 2 | no | — |
| 293 | D4 | — | 212 | 2 | no | — |
| 294 | D4 | — | 212 | 1 | no | — |
| 295 | C2×C4 | — | 4 | 1 | no | — |
| 296 | C2×C4 | — | 4 | 1 | no | — |
| 297 | C2×C4 | — | 848 | 1 | no | — |
| 298 | C2×C4 | — | 106 | 2 | no | — |
| 299 | C2×C4 | — | 212 | 2 | no | — |
| 300 | C2×C4 | — | 212 | 1 | no | — |
| 301 | C2×C4 | — | 212 | 2 | no | — |
| 302 | C2×C4 | — | 212 | 2 | no | — |
| 303 | C2×C4 | #13133195 | 1 | 1 | yes | characteristic |
| 304 | C2×C4 | #13133195 | 1 | 1 | yes | characteristic |
| 305 | C2×C4 | SD16×D53 | 1 | 1 | yes | characteristic |
| 306 | C2×C4 | SD16×D53 | 1 | 1 | yes | characteristic |
| 307 | C2×C4 | #13133244 | 1 | 1 | yes | characteristic |
| 308 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 309 | C8 | — | 4 | 2 | no | — |
| 310 | C8 | — | 53 | 4 | no | — |
| 311 | C8 | #13133195 | 1 | 1 | yes | characteristic |
| 312 | C8 | #13133195 | 1 | 1 | yes | characteristic |
| 313 | C8 | C2×Q8×D53 | 1 | 1 | yes | characteristic |
| 314 | C8 | C2×#11719945 | 1 | 1 | yes | characteristic |
| 315 | C22 | — | 4 | 1 | no | — |
| 316 | C22 | — | 848 | 1 | no | — |
| 317 | C22 | — | 212 | 2 | no | — |
| 318 | C22 | #16810912 | 1 | 1 | yes | characteristic |
| 319 | C22 | #16810912 | 1 | 1 | yes | characteristic |
| 320 | C22 | C2×#13133244 | 1 | 1 | yes | characteristic |
| 321 | C4 | — | 8 | 1 | no | — |
| 322 | C4 | — | 8 | 1 | no | — |
| 323 | C4 | — | 424 | 2 | no | — |
| 324 | C4 | — | 212 | 2 | no | — |
| 325 | C4 | — | 212 | 2 | no | — |
| 326 | C4 | #16810912 | 1 | 1 | yes | characteristic |
| 327 | C4 | #16810912 | 1 | 1 | yes | characteristic |
| 328 | C4 | C2×#13133195 | 1 | 1 | yes | characteristic |
| 329 | C4 | C2×SD16×D53 | 1 | 1 | yes | characteristic |
| 330 | C2 | — | 2 | 1 | no | — |
| 331 | C2 | — | 2 | 1 | no | — |
| 332 | C2 | — | 2 | 1 | no | — |
| 333 | C2 | — | 424 | 2 | no | — |
| 334 | C2 | C2×#16810912 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta