| 1 | #81621 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #81129 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #81029 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #79912 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C3×#1684 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #71226 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #71157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #71126 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #70932 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #68587 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #68559 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #68496 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #68494 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #68451 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #68437 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #19866 | — | 3 | 1 | no | maximal, Sylow |
| 17 | #5732 | C22 | 1 | 1 | yes | characteristic |
| 18 | #5730 | C22 | 1 | 1 | yes | characteristic |
| 19 | #5584 | C22 | 1 | 1 | yes | characteristic |
| 20 | #5584 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×#487 | C22 | 1 | 1 | yes | characteristic |
| 22 | C3×#477 | C22 | 1 | 1 | yes | characteristic |
| 23 | C3×#475 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×C8×Q8 | C22 | 1 | 1 | yes | characteristic |
| 25 | #5084 | C22 | 1 | 1 | yes | characteristic |
| 26 | #5083 | C22 | 1 | 1 | yes | characteristic |
| 27 | #5080 | C22 | 1 | 1 | yes | characteristic |
| 28 | #5079 | C22 | 1 | 1 | yes | characteristic |
| 29 | #5078 | C22 | 1 | 1 | yes | characteristic |
| 30 | #5078 | C22 | 1 | 1 | yes | characteristic |
| 31 | C4×#216 | C22 | 1 | 1 | yes | characteristic |
| 32 | #4888 | — | 2 | 1 | no | — |
| 33 | #4881 | — | 2 | 1 | no | — |
| 34 | #4868 | — | 2 | 1 | no | — |
| 35 | #4860 | — | 2 | 1 | no | — |
| 36 | #4851 | C22 | 1 | 1 | yes | characteristic |
| 37 | #4851 | C22 | 1 | 1 | yes | characteristic |
| 38 | #4845 | — | 2 | 1 | no | — |
| 39 | #4845 | — | 2 | 1 | no | — |
| 40 | #4841 | C22 | 1 | 1 | yes | characteristic |
| 41 | #4841 | C22 | 1 | 1 | yes | characteristic |
| 42 | #4838 | C22 | 1 | 1 | yes | characteristic |
| 43 | #4834 | C22 | 1 | 1 | yes | characteristic |
| 44 | #4819 | — | 2 | 1 | no | — |
| 45 | #4816 | — | 2 | 1 | no | — |
| 46 | #4815 | — | 2 | 1 | no | — |
| 47 | #4813 | — | 2 | 1 | no | — |
| 48 | #4805 | — | 2 | 1 | no | — |
| 49 | #4800 | — | 2 | 1 | no | — |
| 50 | #4796 | — | 2 | 1 | no | — |
| 51 | #4788 | — | 2 | 1 | no | — |
| 52 | #4699 | C22 | 1 | 1 | yes | characteristic |
| 53 | C4×Dic12 | — | 2 | 1 | no | — |
| 54 | #4696 | — | 2 | 1 | no | — |
| 55 | C4×D24 | C22 | 1 | 1 | yes | characteristic |
| 56 | C8×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 57 | C3×#335 | C22 | 1 | 1 | yes | characteristic |
| 58 | C3×#333 | C22 | 1 | 1 | yes | characteristic |
| 59 | C3×#332 | C22 | 1 | 1 | yes | characteristic |
| 60 | #4535 | C22 | 1 | 1 | yes | characteristic |
| 61 | #4486 | C22 | 1 | 1 | yes | characteristic |
| 62 | #4486 | C22 | 1 | 1 | yes | characteristic |
| 63 | #4484 | C22 | 1 | 1 | yes | characteristic |
| 64 | #4483 | C22 | 1 | 1 | yes | characteristic |
| 65 | #4483 | C22 | 1 | 1 | yes | characteristic |
| 66 | #4480 | C22 | 1 | 1 | yes | characteristic |
| 67 | #4454 | C22 | 1 | 1 | yes | characteristic |
| 68 | #3393 | — | 3 | 1 | no | — |
| 69 | #3360 | — | 3 | 1 | no | — |
| 70 | #3356 | — | 3 | 1 | no | — |
| 71 | #3342 | — | 3 | 1 | no | — |
| 72 | #1723 | — | 3 | 1 | no | — |
| 73 | #1693 | — | 3 | 1 | no | — |
| 74 | #1684 | D3 | 1 | 1 | yes | characteristic, complemented |
| 75 | #1671 | — | 3 | 1 | no | — |
| 76 | #1670 | — | 3 | 1 | no | — |
| 77 | #1650 | — | 3 | 1 | no | — |
| 78 | #1650 | — | 3 | 1 | no | — |
| 79 | #1643 | — | 3 | 1 | no | — |
| 80 | #1638 | — | 3 | 1 | no | — |
| 81 | #1581 | — | 3 | 1 | no | — |
| 82 | #1579 | — | 3 | 1 | no | — |
| 83 | C3×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 84 | C3×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 85 | C3×C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 86 | #947 | — | 2 | 1 | no | — |
| 87 | #946 | — | 2 | 1 | no | — |
| 88 | #946 | — | 2 | 1 | no | — |
| 89 | #946 | — | 4 | 1 | no | — |
| 90 | Q8×Dic3 | — | 2 | 1 | no | — |
| 91 | C2×#216 | D4 | 1 | 1 | yes | characteristic |
| 92 | C2×#215 | — | 2 | 1 | no | — |
| 93 | C2×Dic12 | — | 2 | 1 | no | — |
| 94 | C2×Dic12 | — | 2 | 1 | no | — |
| 95 | C2×D24 | D4 | 1 | 1 | yes | characteristic |
| 96 | C2×#204 | — | 2 | 1 | no | — |
| 97 | C2×#204 | — | 2 | 1 | no | — |
| 98 | C2×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 99 | C2×D3×C8 | — | 2 | 1 | no | — |
| 100 | #898 | — | 4 | 1 | no | — |
| 101 | #898 | — | 4 | 1 | no | — |
| 102 | #898 | — | 4 | 1 | no | — |
| 103 | #897 | — | 2 | 1 | no | — |
| 104 | #897 | — | 2 | 1 | no | — |
| 105 | #893 | — | 2 | 1 | no | — |
| 106 | #892 | — | 2 | 1 | no | — |
| 107 | #892 | — | 2 | 1 | no | — |
| 108 | #892 | — | 2 | 1 | no | — |
| 109 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 110 | #890 | — | 2 | 1 | no | — |
| 111 | #875 | — | 2 | 1 | no | — |
| 112 | #875 | — | 2 | 1 | no | — |
| 113 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 114 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 115 | #869 | C23 | 1 | 1 | yes | characteristic |
| 116 | #869 | C23 | 1 | 1 | yes | characteristic |
| 117 | C4×Dic6 | — | 2 | 1 | no | — |
| 118 | C4×Dic6 | — | 2 | 1 | no | — |
| 119 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 120 | C3×#107 | — | 2 | 1 | no | — |
| 121 | C3×#106 | — | 2 | 1 | no | — |
| 122 | C3×C4⋊C8 | — | 2 | 1 | no | — |
| 123 | C3×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 124 | C3×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 125 | C3×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 126 | C3×#103 | — | 2 | 1 | no | — |
| 127 | C3×#103 | — | 2 | 1 | no | — |
| 128 | C3×#103 | — | 2 | 1 | no | — |
| 129 | C3×#103 | — | 2 | 1 | no | — |
| 130 | C3×C4×C8 | — | 2 | 1 | no | — |
| 131 | C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 132 | #835 | — | 2 | 1 | no | — |
| 133 | #835 | — | 4 | 1 | no | — |
| 134 | #835 | D4 | 1 | 1 | yes | characteristic |
| 135 | #821 | D4 | 1 | 1 | yes | characteristic |
| 136 | #821 | D4 | 1 | 1 | yes | characteristic |
| 137 | (C2×D3)⋊C8 | — | 2 | 1 | no | — |
| 138 | (C2×D3)⋊C8 | — | 2 | 1 | no | — |
| 139 | #818 | D4 | 1 | 1 | yes | characteristic |
| 140 | #817 | — | 2 | 1 | no | — |
| 141 | #817 | — | 2 | 1 | no | — |
| 142 | #816 | — | 2 | 1 | no | — |
| 143 | #816 | — | 2 | 1 | no | — |
| 144 | #816 | — | 2 | 1 | no | — |
| 145 | #816 | — | 2 | 1 | no | — |
| 146 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 147 | C8×Dic3 | — | 2 | 1 | no | — |
| 148 | #810 | D4 | 1 | 1 | yes | characteristic |
| 149 | #809 | — | 2 | 1 | no | — |
| 150 | #808 | — | 2 | 1 | no | — |
| 151 | #808 | — | 2 | 1 | no | — |
| 152 | #808 | — | 2 | 1 | no | — |
| 153 | #807 | — | 2 | 1 | no | — |
| 154 | #807 | — | 2 | 1 | no | — |
| 155 | #807 | — | 4 | 1 | no | — |
| 156 | #807 | D4 | 1 | 1 | yes | characteristic |
| 157 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 158 | C4×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 159 | C4×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 160 | #556 | — | 3 | 1 | no | — |
| 161 | #556 | — | 3 | 1 | no | — |
| 162 | #556 | — | 3 | 1 | no | — |
| 163 | #554 | — | 3 | 1 | no | — |
| 164 | #500 | — | 3 | 1 | no | — |
| 165 | #500 | — | 3 | 1 | no | — |
| 166 | #498 | — | 3 | 1 | no | — |
| 167 | #495 | — | 6 | 1 | no | — |
| 168 | #494 | — | 3 | 1 | no | — |
| 169 | #488 | — | 6 | 1 | no | — |
| 170 | #487 | — | 3 | 1 | no | — |
| 171 | #487 | C2×D3 | 1 | 1 | yes | characteristic |
| 172 | #485 | — | 6 | 1 | no | — |
| 173 | #485 | — | 6 | 1 | no | — |
| 174 | #485 | — | 6 | 1 | no | — |
| 175 | #483 | — | 6 | 1 | no | — |
| 176 | #479 | — | 6 | 1 | no | — |
| 177 | #477 | C2×D3 | 1 | 1 | yes | characteristic |
| 178 | #476 | — | 3 | 1 | no | — |
| 179 | #475 | — | 3 | 1 | no | — |
| 180 | #475 | — | 3 | 1 | no | — |
| 181 | #475 | C2×D3 | 1 | 1 | yes | characteristic |
| 182 | #470 | — | 6 | 1 | no | — |
| 183 | #467 | — | 6 | 1 | no | — |
| 184 | #464 | — | 6 | 1 | no | — |
| 185 | #464 | — | 6 | 1 | no | — |
| 186 | #463 | — | 6 | 1 | no | — |
| 187 | #461 | — | 3 | 1 | no | — |
| 188 | #461 | — | 3 | 1 | no | — |
| 189 | #461 | — | 3 | 1 | no | — |
| 190 | C8×Q8 | — | 3 | 1 | no | — |
| 191 | C8×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 192 | C4×Q16 | — | 3 | 1 | no | — |
| 193 | C4×Q16 | — | 6 | 1 | no | — |
| 194 | C4×SD16 | — | 6 | 1 | no | — |
| 195 | C4×D8 | — | 3 | 1 | no | — |
| 196 | #436 | — | 3 | 1 | no | — |
| 197 | C8×D4 | — | 3 | 1 | no | — |
| 198 | #428 | — | 6 | 1 | no | — |
| 199 | #427 | — | 6 | 1 | no | — |
| 200 | #335 | C2×D3 | 1 | 1 | yes | characteristic |
| 201 | #334 | — | 3 | 1 | no | — |
| 202 | #333 | C2×D3 | 1 | 1 | yes | characteristic |
| 203 | #332 | — | 3 | 1 | no | — |
| 204 | #332 | — | 3 | 1 | no | — |
| 205 | #332 | C2×D3 | 1 | 1 | yes | characteristic |
| 206 | Q8⋊C8 | — | 3 | 1 | no | — |
| 207 | Q8⋊C8 | — | 3 | 1 | no | — |
| 208 | D4⋊C8 | — | 3 | 1 | no | — |
| 209 | D4⋊C8 | — | 3 | 1 | no | — |
| 210 | #322 | — | 3 | 1 | no | — |
| 211 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 212 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 213 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | C2×C4×D3 | — | 2 | 1 | no | — |
| 217 | C2×C4×D3 | — | 2 | 1 | no | — |
| 218 | C2×C4×D3 | — | 4 | 1 | no | — |
| 219 | C2×Dic6 | — | 2 | 1 | no | — |
| 220 | C2×Dic6 | — | 2 | 1 | no | — |
| 221 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C2×C3×C8 | — | 2 | 1 | no | — |
| 223 | C2×C3×C8 | — | 2 | 1 | no | — |
| 224 | C2×C3×C8 | — | 2 | 1 | no | — |
| 225 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 228 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 229 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 230 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 231 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 232 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | C3×C42 | — | 2 | 1 | no | — |
| 234 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 235 | #216 | — | 2 | 2 | no | — |
| 236 | #215 | — | 4 | 2 | no | — |
| 237 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 238 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 239 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 240 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 241 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 242 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 243 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 244 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 245 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 246 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 247 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 248 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 249 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 250 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 251 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 252 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 256 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 257 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 258 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 259 | C4×Dic3 | — | 2 | 1 | no | — |
| 260 | C4×Dic3 | — | 4 | 1 | no | — |
| 261 | C4×Dic3 | — | 4 | 1 | no | — |
| 262 | C4×Dic3 | — | 4 | 1 | no | — |
| 263 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 264 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 265 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 266 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | Dic12 | — | 4 | 2 | no | — |
| 268 | Dic12 | — | 8 | 1 | no | — |
| 269 | D24 | — | 4 | 1 | no | — |
| 270 | #204 | — | 8 | 1 | no | — |
| 271 | #204 | — | 8 | 1 | no | — |
| 272 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 273 | D3×C8 | — | 4 | 2 | no | — |
| 274 | C2×Q16 | — | 3 | 1 | no | — |
| 275 | C2×Q16 | — | 6 | 1 | no | — |
| 276 | C2×Q16 | — | 6 | 1 | no | — |
| 277 | C2×SD16 | — | 6 | 1 | no | — |
| 278 | C2×SD16 | — | 6 | 1 | no | — |
| 279 | C2×SD16 | — | 6 | 1 | no | — |
| 280 | C2×D8 | — | 3 | 1 | no | — |
| 281 | C2×M16 | — | 6 | 1 | no | — |
| 282 | C22×C8 | — | 6 | 1 | no | — |
| 283 | C4⋊Q8 | — | 3 | 1 | no | — |
| 284 | C4⋊Q8 | — | 3 | 1 | no | — |
| 285 | C4⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 286 | C4⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 287 | #126 | — | 12 | 1 | no | — |
| 288 | #126 | — | 12 | 1 | no | — |
| 289 | #126 | — | 12 | 1 | no | — |
| 290 | #125 | — | 6 | 1 | no | — |
| 291 | #124 | — | 6 | 1 | no | — |
| 292 | #124 | — | 6 | 1 | no | — |
| 293 | #124 | — | 6 | 1 | no | — |
| 294 | C22⋊Q8 | — | 6 | 1 | no | — |
| 295 | C22⋊Q8 | — | 6 | 1 | no | — |
| 296 | C22⋊Q8 | — | 6 | 1 | no | — |
| 297 | C22⋊Q8 | — | 6 | 1 | no | — |
| 298 | C22⋊Q8 | — | 12 | 1 | no | — |
| 299 | C4×Q8 | — | 3 | 1 | no | — |
| 300 | C4×Q8 | — | 6 | 1 | no | — |
| 301 | C4×Q8 | — | 6 | 1 | no | — |
| 302 | C4×Q8 | — | 6 | 1 | no | — |
| 303 | C4×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 304 | C4×D4 | — | 3 | 1 | no | — |
| 305 | C4×D4 | — | 3 | 1 | no | — |
| 306 | C4×D4 | — | 6 | 1 | no | — |
| 307 | #117 | — | 6 | 1 | no | — |
| 308 | #117 | — | 6 | 1 | no | — |
| 309 | #117 | — | 6 | 1 | no | — |
| 310 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 311 | #107 | — | 2 | 1 | no | — |
| 312 | #107 | — | 3 | 1 | no | — |
| 313 | #107 | — | 3 | 1 | no | — |
| 314 | #107 | — | 6 | 1 | no | — |
| 315 | #107 | — | 6 | 1 | no | — |
| 316 | #107 | — | 12 | 1 | no | — |
| 317 | #106 | — | 2 | 1 | no | — |
| 318 | #106 | — | 6 | 1 | no | — |
| 319 | #106 | — | 6 | 1 | no | — |
| 320 | #106 | — | 6 | 1 | no | — |
| 321 | #106 | — | 6 | 1 | no | — |
| 322 | #106 | — | 6 | 1 | no | — |
| 323 | C4⋊C8 | — | 2 | 1 | no | — |
| 324 | C4⋊C8 | — | 3 | 1 | no | — |
| 325 | C4⋊C8 | — | 6 | 1 | no | — |
| 326 | C4⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 327 | C4⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 328 | C4⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 329 | #103 | — | 2 | 1 | no | — |
| 330 | #103 | — | 2 | 1 | no | — |
| 331 | #103 | — | 2 | 1 | no | — |
| 332 | #103 | — | 2 | 1 | no | — |
| 333 | #103 | — | 3 | 1 | no | — |
| 334 | #103 | — | 3 | 1 | no | — |
| 335 | #103 | — | 6 | 1 | no | — |
| 336 | #103 | — | 6 | 1 | no | — |
| 337 | #103 | — | 6 | 1 | no | — |
| 338 | #103 | — | 6 | 1 | no | — |
| 339 | #103 | — | 6 | 1 | no | — |
| 340 | #103 | — | 12 | 1 | no | — |
| 341 | #102 | — | 3 | 1 | no | — |
| 342 | #102 | — | 3 | 1 | no | — |
| 343 | #102 | — | 6 | 1 | no | — |
| 344 | C22⋊C8 | — | 6 | 1 | no | — |
| 345 | C22⋊C8 | — | 6 | 1 | no | — |
| 346 | C4×C8 | — | 2 | 1 | no | — |
| 347 | C4×C8 | — | 3 | 1 | no | — |
| 348 | C4×C8 | — | 3 | 1 | no | — |
| 349 | C4×C8 | — | 6 | 1 | no | — |
| 350 | C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 351 | C22×D3 | — | 2 | 1 | no | — |
| 352 | C22×D3 | — | 2 | 1 | no | — |
| 353 | C3×Q8 | — | 2 | 1 | no | — |
| 354 | C3×Q8 | — | 2 | 1 | no | — |
| 355 | C3×Q8 | — | 4 | 1 | no | — |
| 356 | C3×Q8 | — | 4 | 1 | no | — |
| 357 | C3×Q8 | — | 8 | 1 | no | — |
| 358 | C2×C3×C4 | — | 2 | 1 | no | — |
| 359 | C2×C3×C4 | — | 2 | 1 | no | — |
| 360 | C2×C3×C4 | — | 4 | 1 | no | — |
| 361 | C2×C3×C4 | — | 4 | 1 | no | — |
| 362 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 363 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 364 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 365 | C2×Dic3 | — | 2 | 1 | no | — |
| 366 | C2×Dic3 | — | 2 | 1 | no | — |
| 367 | C2×Dic3 | — | 2 | 1 | no | — |
| 368 | C2×Dic3 | — | 2 | 1 | no | — |
| 369 | C2×Dic3 | — | 4 | 1 | no | — |
| 370 | C2×Dic3 | — | 4 | 1 | no | — |
| 371 | D12 | — | 2 | 1 | no | — |
| 372 | D12 | — | 2 | 1 | no | — |
| 373 | D12 | — | 2 | 1 | no | — |
| 374 | D12 | — | 2 | 1 | no | — |
| 375 | C4×D3 | — | 4 | 1 | no | — |
| 376 | C4×D3 | — | 4 | 1 | no | — |
| 377 | C4×D3 | — | 4 | 1 | no | — |
| 378 | C4×D3 | — | 4 | 1 | no | — |
| 379 | C4×D3 | — | 16 | 1 | no | — |
| 380 | Dic6 | — | 2 | 1 | no | — |
| 381 | Dic6 | — | 2 | 1 | no | — |
| 382 | Dic6 | — | 4 | 1 | no | — |
| 383 | Dic6 | — | 4 | 1 | no | — |
| 384 | Dic6 | — | 4 | 1 | no | — |
| 385 | Dic6 | — | 4 | 1 | no | — |
| 386 | C3×C8 | — | 2 | 1 | no | — |
| 387 | C3×C8 | — | 2 | 1 | no | — |
| 388 | C3×C8 | — | 4 | 1 | no | — |
| 389 | C3×C8 | — | 4 | 1 | no | — |
| 390 | C3×C8 | — | 4 | 1 | no | — |
| 391 | C3⋊C8 | — | 2 | 1 | no | — |
| 392 | C3⋊C8 | — | 4 | 1 | no | — |
| 393 | C3⋊C8 | — | 4 | 1 | no | — |
| 394 | C3⋊C8 | #135 | 1 | 2 | yes | — |
| 395 | C2×Q8 | — | 2 | 1 | no | — |
| 396 | C2×Q8 | — | 2 | 1 | no | — |
| 397 | C2×Q8 | — | 3 | 1 | no | — |
| 398 | C2×Q8 | — | 6 | 1 | no | — |
| 399 | C2×Q8 | — | 6 | 1 | no | — |
| 400 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 401 | C2×D4 | — | 3 | 1 | no | — |
| 402 | C2×D4 | — | 3 | 1 | no | — |
| 403 | C22×C4 | — | 6 | 1 | no | — |
| 404 | C22×C4 | — | 6 | 1 | no | — |
| 405 | C22×C4 | — | 12 | 1 | no | — |
| 406 | Q16 | — | 6 | 2 | no | — |
| 407 | Q16 | — | 12 | 2 | no | — |
| 408 | Q16 | — | 24 | 1 | no | — |
| 409 | SD16 | — | 12 | 2 | no | — |
| 410 | SD16 | — | 24 | 1 | no | — |
| 411 | SD16 | — | 24 | 1 | no | — |
| 412 | D8 | — | 12 | 1 | no | — |
| 413 | M16 | — | 12 | 2 | no | — |
| 414 | C2×C8 | — | 2 | 1 | no | — |
| 415 | C2×C8 | — | 2 | 1 | no | — |
| 416 | C2×C8 | — | 2 | 1 | no | — |
| 417 | C2×C8 | — | 3 | 1 | no | — |
| 418 | C2×C8 | — | 3 | 1 | no | — |
| 419 | C2×C8 | — | 6 | 1 | no | — |
| 420 | C2×C8 | — | 6 | 1 | no | — |
| 421 | C2×C8 | — | 12 | 2 | no | — |
| 422 | C2×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 423 | C2×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 424 | C4⋊C4 | — | 2 | 1 | no | — |
| 425 | C4⋊C4 | — | 2 | 1 | no | — |
| 426 | C4⋊C4 | — | 2 | 1 | no | — |
| 427 | C4⋊C4 | — | 2 | 1 | no | — |
| 428 | C4⋊C4 | — | 2 | 1 | no | — |
| 429 | C4⋊C4 | — | 3 | 1 | no | — |
| 430 | C4⋊C4 | — | 3 | 1 | no | — |
| 431 | C4⋊C4 | — | 3 | 1 | no | — |
| 432 | C4⋊C4 | — | 6 | 1 | no | — |
| 433 | C4⋊C4 | — | 6 | 1 | no | — |
| 434 | C4⋊C4 | — | 6 | 1 | no | — |
| 435 | C4⋊C4 | — | 6 | 1 | no | — |
| 436 | C4⋊C4 | — | 6 | 1 | no | — |
| 437 | C4⋊C4 | — | 12 | 1 | no | — |
| 438 | C4⋊C4 | — | 12 | 1 | no | — |
| 439 | C4⋊C4 | — | 12 | 1 | no | — |
| 440 | C4⋊C4 | — | 12 | 1 | no | — |
| 441 | C4⋊C4 | — | 12 | 1 | no | — |
| 442 | C4⋊C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 443 | C22⋊C4 | — | 6 | 1 | no | — |
| 444 | C22⋊C4 | — | 6 | 1 | no | — |
| 445 | C22⋊C4 | — | 12 | 1 | no | — |
| 446 | C22⋊C4 | — | 12 | 1 | no | — |
| 447 | C22⋊C4 | — | 12 | 1 | no | — |
| 448 | C22⋊C4 | — | 12 | 1 | no | — |
| 449 | C22⋊C4 | — | 12 | 1 | no | — |
| 450 | C22⋊C4 | — | 12 | 1 | no | — |
| 451 | C22⋊C4 | — | 12 | 1 | no | — |
| 452 | C42 | — | 2 | 1 | no | — |
| 453 | C42 | — | 6 | 1 | no | — |
| 454 | C42 | — | 12 | 1 | no | — |
| 455 | C42 | — | 12 | 1 | no | — |
| 456 | C42 | — | 12 | 1 | no | — |
| 457 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 458 | C22×C3 | D42 | 1 | 1 | yes | characteristic |
| 459 | C2×D3 | — | 4 | 1 | no | — |
| 460 | C2×D3 | — | 4 | 1 | no | — |
| 461 | C2×D3 | — | 4 | 1 | no | — |
| 462 | C2×D3 | — | 4 | 1 | no | — |
| 463 | C2×D3 | — | 4 | 1 | no | — |
| 464 | C2×D3 | — | 4 | 1 | no | — |
| 465 | C3×C4 | — | 2 | 1 | no | — |
| 466 | C3×C4 | — | 4 | 1 | no | — |
| 467 | C3×C4 | — | 4 | 1 | no | — |
| 468 | C3×C4 | — | 8 | 1 | no | — |
| 469 | C3×C4 | — | 8 | 1 | no | — |
| 470 | C3×C4 | C2×#135 | 1 | 1 | yes | characteristic |
| 471 | C3×C4 | #575 | 1 | 1 | yes | characteristic |
| 472 | C3×C4 | #577 | 1 | 1 | yes | characteristic |
| 473 | C3×C4 | #578 | 1 | 1 | yes | characteristic |
| 474 | Dic3 | — | 4 | 1 | no | — |
| 475 | Dic3 | — | 4 | 1 | no | — |
| 476 | Dic3 | — | 4 | 1 | no | — |
| 477 | Dic3 | — | 4 | 1 | no | — |
| 478 | Dic3 | — | 8 | 1 | no | — |
| 479 | Dic3 | — | 8 | 1 | no | — |
| 480 | C23 | — | 6 | 1 | no | — |
| 481 | C23 | — | 6 | 1 | no | — |
| 482 | Q8 | — | 2 | 1 | no | — |
| 483 | Q8 | — | 2 | 1 | no | — |
| 484 | Q8 | — | 4 | 1 | no | — |
| 485 | Q8 | — | 4 | 1 | no | — |
| 486 | Q8 | — | 6 | 1 | no | — |
| 487 | Q8 | — | 6 | 1 | no | — |
| 488 | Q8 | — | 8 | 1 | no | — |
| 489 | Q8 | — | 12 | 1 | no | — |
| 490 | Q8 | — | 12 | 1 | no | — |
| 491 | Q8 | — | 12 | 1 | no | — |
| 492 | Q8 | — | 12 | 1 | no | — |
| 493 | D4 | — | 6 | 1 | no | — |
| 494 | D4 | — | 6 | 1 | no | — |
| 495 | D4 | — | 6 | 1 | no | — |
| 496 | D4 | — | 6 | 1 | no | — |
| 497 | C2×C4 | — | 2 | 1 | no | — |
| 498 | C2×C4 | — | 2 | 1 | no | — |
| 499 | C2×C4 | — | 4 | 1 | no | — |
| 500 | C2×C4 | — | 4 | 1 | no | — |
| 501 | C2×C4 | — | 6 | 1 | no | — |
| 502 | C2×C4 | — | 6 | 1 | no | — |
| 503 | C2×C4 | — | 6 | 1 | no | — |
| 504 | C2×C4 | — | 6 | 1 | no | — |
| 505 | C2×C4 | — | 12 | 1 | no | — |
| 506 | C2×C4 | — | 12 | 1 | no | — |
| 507 | C2×C4 | — | 12 | 1 | no | — |
| 508 | C2×C4 | — | 12 | 1 | no | — |
| 509 | C2×C4 | — | 12 | 1 | no | — |
| 510 | C2×C4 | — | 12 | 1 | no | — |
| 511 | C2×C4 | — | 48 | 1 | no | — |
| 512 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 513 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 514 | C2×C4 | #1009 | 1 | 1 | yes | characteristic |
| 515 | C8 | — | 2 | 1 | no | — |
| 516 | C8 | — | 2 | 1 | no | — |
| 517 | C8 | — | 3 | 2 | no | — |
| 518 | C8 | — | 4 | 1 | no | — |
| 519 | C8 | — | 4 | 1 | no | — |
| 520 | C8 | — | 4 | 1 | no | — |
| 521 | C8 | — | 6 | 1 | no | — |
| 522 | C8 | — | 12 | 1 | no | — |
| 523 | C8 | — | 12 | 1 | no | — |
| 524 | C2×C3 | #3271 | 1 | 1 | yes | characteristic |
| 525 | C2×C3 | #3283 | 1 | 1 | yes | characteristic |
| 526 | C2×C3 | #3289 | 1 | 1 | yes | characteristic |
| 527 | D3 | — | 8 | 1 | no | — |
| 528 | D3 | — | 8 | 1 | no | — |
| 529 | C22 | — | 12 | 1 | no | — |
| 530 | C22 | — | 12 | 1 | no | — |
| 531 | C22 | — | 12 | 1 | no | — |
| 532 | C22 | — | 12 | 1 | no | — |
| 533 | C22 | — | 12 | 1 | no | — |
| 534 | C22 | — | 12 | 1 | no | — |
| 535 | C22 | #5609 | 1 | 1 | yes | characteristic |
| 536 | C4 | — | 2 | 1 | no | — |
| 537 | C4 | — | 4 | 1 | no | — |
| 538 | C4 | — | 4 | 1 | no | — |
| 539 | C4 | — | 8 | 1 | no | — |
| 540 | C4 | — | 8 | 1 | no | — |
| 541 | C4 | — | 12 | 1 | no | — |
| 542 | C4 | — | 12 | 1 | no | — |
| 543 | C4 | — | 12 | 1 | no | — |
| 544 | C4 | — | 12 | 1 | no | — |
| 545 | C4 | — | 24 | 1 | no | — |
| 546 | C4 | — | 24 | 1 | no | — |
| 547 | C4 | #5766 | 1 | 1 | yes | characteristic |
| 548 | C4 | D3×#135 | 1 | 1 | yes | characteristic |
| 549 | C4 | #5770 | 1 | 1 | yes | characteristic |
| 550 | C4 | #5777 | 1 | 1 | yes | characteristic |
| 551 | C3 | #19866 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 552 | C2 | — | 24 | 1 | no | — |
| 553 | C2 | — | 24 | 1 | no | — |
| 554 | C2 | #80612 | 1 | 1 | yes | characteristic |
| 555 | C2 | #80774 | 1 | 1 | yes | characteristic |
| 556 | C2 | #80933 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta