| 1 | #20287145 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #20286474 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #20276940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20276908 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #20276812 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #20276756 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20276658 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C4×#13133163 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20276534 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20276421 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C53×#2225 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#13133240 | C22 | 1 | 2 | yes | — |
| 13 | #16811347 | — | 2 | 1 | no | — |
| 14 | #16811295 | — | 2 | 1 | no | — |
| 15 | C2×#13133163 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#13133162 | C22 | 1 | 2 | yes | — |
| 17 | C2×C16×D53 | C22 | 1 | 2 | yes | — |
| 18 | #16811000 | C22 | 1 | 1 | yes | characteristic |
| 19 | #16810966 | — | 2 | 2 | no | — |
| 20 | #16810905 | — | 2 | 1 | no | — |
| 21 | #16810865 | C22 | 1 | 2 | yes | — |
| 22 | #16810860 | C22 | 1 | 2 | yes | — |
| 23 | #16810823 | — | 2 | 1 | no | — |
| 24 | #16810771 | — | 2 | 2 | no | — |
| 25 | C4×Dic212 | C22 | 1 | 1 | yes | characteristic |
| 26 | C8×D212 | C22 | 1 | 1 | yes | characteristic |
| 27 | #16810660 | C22 | 1 | 2 | yes | — |
| 28 | #16810448 | C22 | 1 | 1 | yes | characteristic |
| 29 | #16810427 | C22 | 1 | 1 | yes | characteristic |
| 30 | #16810426 | C22 | 1 | 1 | yes | characteristic |
| 31 | #16810425 | C22 | 1 | 2 | yes | — |
| 32 | #16810423 | C22 | 1 | 2 | yes | — |
| 33 | #16810423 | C22 | 1 | 2 | yes | — |
| 34 | #16810402 | C22 | 1 | 2 | yes | — |
| 35 | C4×#11719908 | C22 | 1 | 1 | yes | characteristic |
| 36 | C53×#500 | C22 | 1 | 1 | yes | characteristic |
| 37 | C4×Q16×C53 | C22 | 1 | 1 | yes | characteristic |
| 38 | C53×#367 | C22 | 1 | 2 | yes | — |
| 39 | C53×C4⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 40 | C53×#358 | C22 | 1 | 2 | yes | — |
| 41 | C2×#11719949 | — | 2 | 2 | no | — |
| 42 | #13133240 | — | 2 | 4 | no | — |
| 43 | #13133240 | — | 4 | 2 | no | — |
| 44 | C2×Dic212 | C23 | 1 | 1 | yes | characteristic |
| 45 | C2×#11719924 | — | 2 | 2 | no | — |
| 46 | C2×D424 | — | 2 | 1 | no | — |
| 47 | C2×D424 | C23 | 1 | 2 | yes | — |
| 48 | C2×C8×D53 | C23 | 1 | 2 | yes | — |
| 49 | #13133214 | — | 2 | 1 | no | — |
| 50 | #13133214 | — | 4 | 1 | no | — |
| 51 | #13133212 | — | 4 | 2 | no | — |
| 52 | #13133206 | — | 4 | 1 | no | — |
| 53 | #13133197 | — | 2 | 2 | no | — |
| 54 | #13133192 | — | 2 | 2 | no | — |
| 55 | #13133192 | — | 4 | 2 | no | — |
| 56 | Q8×Dic53 | — | 4 | 1 | no | — |
| 57 | C4×Dic106 | — | 2 | 1 | no | — |
| 58 | C4×D212 | — | 4 | 1 | no | — |
| 59 | C4×D212 | D4 | 1 | 1 | yes | characteristic |
| 60 | #13133175 | — | 2 | 2 | no | — |
| 61 | #13133163 | — | 2 | 2 | no | — |
| 62 | #13133162 | — | 4 | 2 | no | — |
| 63 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 65 | C16×D53 | — | 4 | 2 | no | — |
| 66 | #13133151 | C23 | 1 | 1 | yes | characteristic |
| 67 | #13133148 | — | 2 | 2 | no | — |
| 68 | C4⋊#88322 | D4 | 1 | 1 | yes | characteristic |
| 69 | #13133142 | — | 2 | 1 | no | — |
| 70 | #13133140 | — | 2 | 2 | no | — |
| 71 | #13133137 | — | 2 | 2 | no | — |
| 72 | #13133129 | D4 | 1 | 2 | yes | — |
| 73 | C2×Q16×C53 | C23 | 1 | 1 | yes | characteristic |
| 74 | C4⋊Q8×C53 | — | 2 | 1 | no | — |
| 75 | C4×Q8×C53 | — | 2 | 1 | no | — |
| 76 | C2×C16×C53 | C23 | 1 | 2 | yes | — |
| 77 | #107×C53 | — | 2 | 1 | no | — |
| 78 | #107×C53 | C23 | 1 | 2 | yes | — |
| 79 | #107×C53 | C23 | 1 | 1 | yes | characteristic |
| 80 | #103×C53 | — | 2 | 1 | no | — |
| 81 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 83 | C2×Q8×C53 | — | 4 | 1 | no | — |
| 84 | #11719949 | — | 4 | 4 | no | — |
| 85 | #11719949 | — | 8 | 2 | no | — |
| 86 | C2×D212 | — | 2 | 2 | no | — |
| 87 | C2×D212 | — | 4 | 2 | no | — |
| 88 | C2×D212 | — | 4 | 1 | no | — |
| 89 | C2×D212 | — | 4 | 2 | no | — |
| 90 | C2×D212 | — | 4 | 1 | no | — |
| 91 | C2×D212 | D8 | 1 | 1 | yes | characteristic |
| 92 | C2×C4×D53 | — | 4 | 2 | no | — |
| 93 | C2×C4×D53 | C2×D4 | 1 | 2 | yes | — |
| 94 | C2×Dic106 | — | 2 | 1 | no | — |
| 95 | Q16×C53 | — | 2 | 1 | no | — |
| 96 | Q16×C53 | #41 | 1 | 2 | yes | — |
| 97 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 98 | C2×C8×C53 | C24 | 1 | 1 | yes | characteristic |
| 99 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 100 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 101 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 102 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 103 | C42×C53 | — | 4 | 1 | no | — |
| 104 | C42×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | #11719924 | — | 4 | 4 | no | — |
| 106 | #11719921 | — | 4 | 2 | no | — |
| 107 | #11719921 | — | 4 | 2 | no | — |
| 108 | #11719921 | — | 4 | 2 | no | — |
| 109 | #11719921 | D8 | 1 | 2 | yes | — |
| 110 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 111 | C4⋊Dic53 | — | 4 | 2 | no | — |
| 112 | C4⋊Dic53 | D8 | 1 | 1 | yes | characteristic |
| 113 | #11719919 | — | 4 | 1 | no | — |
| 114 | C4×Dic53 | — | 4 | 1 | no | — |
| 115 | C4×Dic53 | — | 4 | 2 | no | — |
| 116 | C2×#88322 | C2×D4 | 1 | 2 | yes | — |
| 117 | Dic212 | — | 2 | 1 | no | — |
| 118 | Dic212 | — | 2 | 1 | no | — |
| 119 | D424 | — | 2 | 2 | no | — |
| 120 | D424 | — | 2 | 2 | no | — |
| 121 | D424 | — | 8 | 1 | no | — |
| 122 | C8×D53 | — | 2 | 2 | no | — |
| 123 | C8×D53 | — | 2 | 2 | no | — |
| 124 | C16×C53 | — | 2 | 2 | no | — |
| 125 | #11719908 | — | 2 | 1 | no | — |
| 126 | #11719908 | — | 2 | 1 | no | — |
| 127 | C22×D53 | — | 4 | 2 | no | — |
| 128 | C22×D53 | C2×D8 | 1 | 2 | yes | — |
| 129 | Q8×C53 | — | 2 | 2 | no | — |
| 130 | Q8×C53 | — | 4 | 1 | no | — |
| 131 | Q8×C53 | — | 8 | 2 | no | — |
| 132 | C2×C4×C53 | — | 4 | 1 | no | — |
| 133 | C2×C4×C53 | — | 4 | 1 | no | — |
| 134 | C2×C4×C53 | — | 4 | 2 | no | — |
| 135 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 136 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 137 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 138 | C2×Dic53 | — | 4 | 1 | no | — |
| 139 | C2×Dic53 | — | 4 | 1 | no | — |
| 140 | C2×Dic53 | C2×D8 | 1 | 2 | yes | — |
| 141 | D212 | — | 2 | 2 | no | — |
| 142 | D212 | — | 4 | 2 | no | — |
| 143 | D212 | — | 4 | 2 | no | — |
| 144 | D212 | — | 8 | 4 | no | — |
| 145 | D212 | — | 8 | 2 | no | — |
| 146 | D212 | — | 16 | 1 | no | — |
| 147 | D212 | — | 16 | 2 | no | — |
| 148 | C4×D53 | — | 2 | 2 | no | — |
| 149 | C4×D53 | — | 2 | 2 | no | — |
| 150 | C4×D53 | — | 8 | 4 | no | — |
| 151 | Dic106 | — | 4 | 1 | no | — |
| 152 | Dic106 | — | 4 | 1 | no | — |
| 153 | C8×C53 | — | 2 | 1 | no | — |
| 154 | C8×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 155 | C8×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 156 | #88322 | — | 2 | 2 | no | — |
| 157 | #33871 | — | 53 | 1 | no | maximal, Sylow |
| 158 | C22×C53 | C22×D8 | 1 | 1 | yes | characteristic |
| 159 | C2×D53 | — | 2 | 2 | no | — |
| 160 | C2×D53 | — | 2 | 2 | no | — |
| 161 | C2×D53 | — | 2 | 2 | no | — |
| 162 | C2×D53 | — | 8 | 2 | no | — |
| 163 | C2×D53 | — | 8 | 2 | no | — |
| 164 | C2×D53 | — | 8 | 2 | no | — |
| 165 | C4×C53 | — | 2 | 1 | no | — |
| 166 | C4×C53 | — | 4 | 2 | no | — |
| 167 | C4×C53 | — | 8 | 2 | no | — |
| 168 | C4×C53 | — | 8 | 1 | no | — |
| 169 | C4×C53 | #508 | 1 | 2 | yes | — |
| 170 | C4×C53 | #546 | 1 | 1 | yes | characteristic |
| 171 | C4×C53 | #577 | 1 | 1 | yes | characteristic |
| 172 | Dic53 | — | 2 | 2 | no | — |
| 173 | Dic53 | — | 8 | 1 | no | — |
| 174 | Dic53 | — | 8 | 1 | no | — |
| 175 | #3342 | — | 53 | 1 | no | — |
| 176 | #3287 | — | 53 | 1 | no | — |
| 177 | #2240 | — | 53 | 1 | no | — |
| 178 | #2234 | — | 53 | 2 | no | — |
| 179 | #2225 | D53 | 1 | 1 | yes | characteristic, complemented |
| 180 | #2217 | — | 53 | 2 | no | — |
| 181 | #2207 | — | 53 | 1 | no | — |
| 182 | #2189 | — | 53 | 2 | no | — |
| 183 | C4×Q32 | — | 53 | 1 | no | — |
| 184 | D4×C16 | — | 53 | 1 | no | — |
| 185 | #2138 | — | 53 | 2 | no | — |
| 186 | C2×C53 | #3294 | 1 | 1 | yes | characteristic |
| 187 | C2×C53 | C2×#508 | 1 | 1 | yes | characteristic |
| 188 | C2×C53 | #3416 | 1 | 1 | yes | characteristic |
| 189 | D53 | — | 4 | 2 | no | — |
| 190 | D53 | — | 16 | 2 | no | — |
| 191 | C2×#135 | — | 53 | 2 | no | — |
| 192 | #556 | — | 106 | 1 | no | — |
| 193 | #550 | — | 106 | 1 | no | — |
| 194 | C2×Q32 | — | 53 | 1 | no | — |
| 195 | C2×SD32 | — | 53 | 2 | no | — |
| 196 | C22×C16 | — | 53 | 2 | no | — |
| 197 | #500 | C2×D53 | 1 | 1 | yes | characteristic |
| 198 | #493 | — | 53 | 1 | no | — |
| 199 | #485 | — | 106 | 2 | no | — |
| 200 | #475 | — | 106 | 1 | no | — |
| 201 | #467 | — | 53 | 2 | no | — |
| 202 | #466 | — | 53 | 2 | no | — |
| 203 | #460 | — | 106 | 1 | no | — |
| 204 | #449 | — | 106 | 2 | no | — |
| 205 | C4×Q16 | — | 53 | 1 | no | — |
| 206 | C4×Q16 | C2×D53 | 1 | 1 | yes | characteristic |
| 207 | C8×D4 | — | 53 | 1 | no | — |
| 208 | #427 | — | 53 | 2 | no | — |
| 209 | #367 | C2×D53 | 1 | 2 | yes | — |
| 210 | #366 | — | 53 | 1 | no | — |
| 211 | C4⋊C16 | C2×D53 | 1 | 1 | yes | characteristic |
| 212 | #358 | — | 53 | 1 | no | — |
| 213 | #358 | — | 53 | 1 | no | — |
| 214 | #358 | C2×D53 | 1 | 2 | yes | — |
| 215 | #357 | — | 53 | 2 | no | — |
| 216 | #357 | — | 53 | 2 | no | — |
| 217 | #357 | — | 53 | 2 | no | — |
| 218 | C22⋊C16 | — | 53 | 2 | no | — |
| 219 | C4×C16 | — | 53 | 1 | no | — |
| 220 | C53 | #33871 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 221 | C2×#41 | — | 106 | 2 | no | — |
| 222 | #135 | — | 106 | 4 | no | — |
| 223 | #135 | — | 212 | 2 | no | — |
| 224 | C2×Q16 | — | 53 | 1 | no | — |
| 225 | C2×Q16 | C22×D53 | 1 | 1 | yes | characteristic |
| 226 | C2×SD16 | — | 106 | 2 | no | — |
| 227 | C2×D8 | — | 53 | 2 | no | — |
| 228 | C2×D8 | — | 106 | 1 | no | — |
| 229 | C22×C8 | — | 53 | 2 | no | — |
| 230 | C4⋊Q8 | — | 2 | 1 | no | — |
| 231 | #127 | — | 106 | 1 | no | — |
| 232 | #127 | — | 212 | 1 | no | — |
| 233 | #126 | — | 212 | 2 | no | — |
| 234 | #124 | — | 212 | 1 | no | — |
| 235 | C22⋊Q8 | — | 106 | 2 | no | — |
| 236 | #121 | — | 106 | 2 | no | — |
| 237 | #121 | — | 212 | 2 | no | — |
| 238 | C4×Q8 | — | 2 | 1 | no | — |
| 239 | C4×Q8 | — | 106 | 1 | no | — |
| 240 | C4×Q8 | — | 212 | 1 | no | — |
| 241 | C4×D4 | — | 53 | 1 | no | — |
| 242 | C4×D4 | — | 212 | 1 | no | — |
| 243 | #117 | — | 106 | 2 | no | — |
| 244 | Q32 | — | 106 | 2 | no | — |
| 245 | SD32 | — | 212 | 2 | no | — |
| 246 | C2×C16 | — | 53 | 1 | no | — |
| 247 | C2×C16 | — | 53 | 1 | no | — |
| 248 | C2×C16 | — | 212 | 2 | no | — |
| 249 | C2×C16 | C22×D53 | 1 | 2 | yes | — |
| 250 | #107 | — | 2 | 1 | no | — |
| 251 | #107 | — | 53 | 1 | no | — |
| 252 | #107 | C22×D53 | 1 | 2 | yes | — |
| 253 | #107 | C22×D53 | 1 | 1 | yes | characteristic |
| 254 | #106 | — | 106 | 2 | no | — |
| 255 | C4⋊C8 | — | 53 | 1 | no | — |
| 256 | #103 | — | 2 | 1 | no | — |
| 257 | #103 | — | 106 | 2 | no | — |
| 258 | #103 | — | 106 | 1 | no | — |
| 259 | #102 | — | 106 | 2 | no | — |
| 260 | C22⋊C8 | — | 53 | 2 | no | — |
| 261 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 262 | #41 | — | 424 | 2 | no | — |
| 263 | #41 | — | 212 | 4 | no | — |
| 264 | C2×Q8 | — | 2 | 1 | no | — |
| 265 | C2×Q8 | — | 4 | 1 | no | — |
| 266 | C2×Q8 | — | 106 | 1 | no | — |
| 267 | C2×D4 | — | 53 | 1 | no | — |
| 268 | C2×D4 | — | 106 | 2 | no | — |
| 269 | C2×D4 | — | 212 | 2 | no | — |
| 270 | C2×D4 | — | 212 | 2 | no | — |
| 271 | C2×D4 | — | 212 | 1 | no | — |
| 272 | C2×D4 | — | 212 | 1 | no | — |
| 273 | C22×C4 | — | 53 | 2 | no | — |
| 274 | C22×C4 | — | 212 | 2 | no | — |
| 275 | Q16 | — | 2 | 1 | no | — |
| 276 | Q16 | — | 106 | 1 | no | — |
| 277 | Q16 | — | 106 | 1 | no | — |
| 278 | Q16 | #11719949 | 1 | 2 | yes | — |
| 279 | SD16 | — | 212 | 4 | no | — |
| 280 | D8 | — | 106 | 2 | no | — |
| 281 | D8 | — | 106 | 2 | no | — |
| 282 | D8 | — | 424 | 1 | no | — |
| 283 | C2×C8 | — | 53 | 2 | no | — |
| 284 | C2×C8 | — | 106 | 2 | no | — |
| 285 | C2×C8 | — | 106 | 2 | no | — |
| 286 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 287 | C2×C8 | C23×D53 | 1 | 1 | yes | characteristic |
| 288 | C4⋊C4 | — | 2 | 1 | no | — |
| 289 | C4⋊C4 | — | 2 | 2 | no | — |
| 290 | C4⋊C4 | — | 4 | 1 | no | — |
| 291 | C4⋊C4 | — | 4 | 1 | no | — |
| 292 | C4⋊C4 | — | 53 | 1 | no | — |
| 293 | C4⋊C4 | — | 106 | 1 | no | — |
| 294 | C4⋊C4 | — | 212 | 2 | no | — |
| 295 | C4⋊C4 | — | 212 | 1 | no | — |
| 296 | C22⋊C4 | — | 53 | 2 | no | — |
| 297 | C22⋊C4 | — | 212 | 2 | no | — |
| 298 | C22⋊C4 | — | 212 | 2 | no | — |
| 299 | C22⋊C4 | — | 212 | 2 | no | — |
| 300 | C42 | — | 4 | 1 | no | — |
| 301 | C42 | — | 212 | 2 | no | — |
| 302 | C42 | — | 212 | 1 | no | — |
| 303 | C42 | D4×D53 | 1 | 1 | yes | characteristic |
| 304 | C16 | — | 2 | 2 | no | — |
| 305 | C16 | — | 106 | 1 | no | — |
| 306 | C16 | — | 106 | 1 | no | — |
| 307 | C23 | — | 53 | 2 | no | — |
| 308 | C23 | — | 212 | 2 | no | — |
| 309 | Q8 | — | 2 | 2 | no | — |
| 310 | Q8 | — | 4 | 1 | no | — |
| 311 | Q8 | — | 8 | 2 | no | — |
| 312 | Q8 | — | 212 | 1 | no | — |
| 313 | Q8 | — | 212 | 1 | no | — |
| 314 | D4 | — | 848 | 1 | no | — |
| 315 | D4 | — | 848 | 2 | no | — |
| 316 | D4 | — | 106 | 2 | no | — |
| 317 | D4 | — | 424 | 4 | no | — |
| 318 | D4 | — | 424 | 2 | no | — |
| 319 | D4 | — | 212 | 2 | no | — |
| 320 | D4 | — | 212 | 2 | no | — |
| 321 | C2×C4 | — | 4 | 1 | no | — |
| 322 | C2×C4 | — | 4 | 1 | no | — |
| 323 | C2×C4 | — | 4 | 2 | no | — |
| 324 | C2×C4 | — | 53 | 2 | no | — |
| 325 | C2×C4 | — | 106 | 2 | no | — |
| 326 | C2×C4 | — | 106 | 2 | no | — |
| 327 | C2×C4 | — | 424 | 4 | no | — |
| 328 | C2×C4 | — | 212 | 1 | no | — |
| 329 | C2×C4 | — | 212 | 1 | no | — |
| 330 | C2×C4 | D8×D53 | 1 | 1 | yes | characteristic |
| 331 | C2×C4 | D8×D53 | 1 | 1 | yes | characteristic |
| 332 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 333 | C8 | — | 2 | 1 | no | — |
| 334 | C8 | — | 106 | 2 | no | — |
| 335 | C8 | C2×#11719949 | 1 | 1 | yes | characteristic |
| 336 | C8 | #13133263 | 1 | 1 | yes | characteristic |
| 337 | C22 | — | 106 | 2 | no | — |
| 338 | C22 | — | 106 | 2 | no | — |
| 339 | C22 | — | 106 | 2 | no | — |
| 340 | C22 | — | 424 | 2 | no | — |
| 341 | C22 | — | 424 | 2 | no | — |
| 342 | C22 | — | 424 | 2 | no | — |
| 343 | C22 | C2×D8×D53 | 1 | 1 | yes | characteristic |
| 344 | C4 | — | 2 | 1 | no | — |
| 345 | C4 | — | 4 | 2 | no | — |
| 346 | C4 | — | 8 | 2 | no | — |
| 347 | C4 | — | 8 | 1 | no | — |
| 348 | C4 | — | 106 | 2 | no | — |
| 349 | C4 | — | 424 | 1 | no | — |
| 350 | C4 | — | 424 | 1 | no | — |
| 351 | C4 | #16811054 | 1 | 2 | yes | — |
| 352 | C4 | #16811264 | 1 | 1 | yes | characteristic |
| 353 | C4 | #16811432 | 1 | 1 | yes | characteristic |
| 354 | C2 | — | 848 | 2 | no | — |
| 355 | C2 | — | 212 | 2 | no | — |
| 356 | C2 | #20286525 | 1 | 1 | yes | characteristic |
| 357 | C2 | C2×#16811054 | 1 | 1 | yes | characteristic |
| 358 | C2 | #20287860 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta