| 1 | #79198 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #79179 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #79091 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #78571 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C3×#1922 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #70544 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #69894 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #68949 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #68923 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #68775 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #68771 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #68764 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #68735 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #68694 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #68691 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #26406 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C2×#909 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#901 | C22 | 1 | 1 | yes | characteristic |
| 19 | #5523 | C22 | 1 | 1 | yes | characteristic |
| 20 | #5523 | C22 | 1 | 1 | yes | characteristic |
| 21 | #5519 | C22 | 1 | 1 | yes | characteristic |
| 22 | #5516 | C22 | 1 | 1 | yes | characteristic |
| 23 | C3×#427 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×#424 | C22 | 1 | 1 | yes | characteristic |
| 25 | C3×#405 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#824 | C22 | 1 | 1 | yes | characteristic |
| 27 | #5133 | C22 | 1 | 1 | yes | characteristic |
| 28 | #5121 | C22 | 1 | 1 | yes | characteristic |
| 29 | #5121 | C22 | 1 | 1 | yes | characteristic |
| 30 | #5113 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#819 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#818 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#818 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#816 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#816 | C22 | 1 | 1 | yes | characteristic |
| 36 | #5102 | C22 | 1 | 1 | yes | characteristic |
| 37 | #5004 | C22 | 1 | 1 | yes | characteristic |
| 38 | #4995 | C22 | 1 | 1 | yes | characteristic |
| 39 | #4995 | C22 | 1 | 1 | yes | characteristic |
| 40 | #4995 | C22 | 1 | 1 | yes | characteristic |
| 41 | #4935 | C22 | 1 | 1 | yes | characteristic |
| 42 | #4929 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#805 | C22 | 1 | 1 | yes | characteristic |
| 44 | #4880 | — | 2 | 1 | no | — |
| 45 | D3×#107 | — | 2 | 1 | no | — |
| 46 | #4877 | — | 2 | 1 | no | — |
| 47 | #4875 | — | 2 | 1 | no | — |
| 48 | #4861 | — | 2 | 1 | no | — |
| 49 | #4861 | — | 2 | 1 | no | — |
| 50 | #4857 | — | 2 | 1 | no | — |
| 51 | #4854 | — | 2 | 1 | no | — |
| 52 | #4850 | — | 2 | 1 | no | — |
| 53 | #4847 | — | 2 | 1 | no | — |
| 54 | #4846 | — | 2 | 1 | no | — |
| 55 | #4829 | — | 2 | 1 | no | — |
| 56 | #4716 | — | 2 | 1 | no | — |
| 57 | #4710 | — | 2 | 1 | no | — |
| 58 | C4×Dic12 | — | 2 | 1 | no | — |
| 59 | C4×#204 | — | 2 | 1 | no | — |
| 60 | C3×#341 | C22 | 1 | 1 | yes | characteristic |
| 61 | C3×#339 | C22 | 1 | 1 | yes | characteristic |
| 62 | C3×#339 | C22 | 1 | 1 | yes | characteristic |
| 63 | C3×#336 | C22 | 1 | 1 | yes | characteristic |
| 64 | #4554 | C22 | 1 | 1 | yes | characteristic |
| 65 | #4554 | C22 | 1 | 1 | yes | characteristic |
| 66 | #4554 | C22 | 1 | 1 | yes | characteristic |
| 67 | #4523 | C22 | 1 | 1 | yes | characteristic |
| 68 | #3083 | — | 3 | 1 | no | — |
| 69 | #3082 | — | 3 | 1 | no | — |
| 70 | #2947 | — | 3 | 1 | no | — |
| 71 | #2913 | — | 3 | 1 | no | — |
| 72 | #2095 | — | 3 | 1 | no | — |
| 73 | #2089 | — | 3 | 1 | no | — |
| 74 | #2064 | — | 3 | 1 | no | — |
| 75 | #2060 | — | 3 | 1 | no | — |
| 76 | #1952 | — | 3 | 1 | no | — |
| 77 | #1922 | D3 | 1 | 1 | yes | characteristic, complemented |
| 78 | #1908 | — | 3 | 1 | no | — |
| 79 | #1882 | — | 3 | 1 | no | — |
| 80 | #1866 | — | 3 | 1 | no | — |
| 81 | #1859 | — | 3 | 1 | no | — |
| 82 | #1857 | — | 3 | 1 | no | — |
| 83 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 84 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 87 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 88 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 89 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 90 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 92 | #926 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C4⋊Dic3 | — | 4 | 1 | no | — |
| 94 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 96 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 98 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 99 | #909 | — | 2 | 2 | no | — |
| 100 | #909 | Q8 | 1 | 4 | yes | complemented |
| 101 | C2×Dic12 | — | 2 | 1 | no | — |
| 102 | C2×#204 | — | 2 | 1 | no | — |
| 103 | #901 | — | 2 | 2 | no | — |
| 104 | #901 | — | 2 | 2 | no | — |
| 105 | C2×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 106 | C2×D3×C8 | — | 2 | 1 | no | — |
| 107 | #892 | — | 2 | 1 | no | — |
| 108 | #892 | — | 2 | 1 | no | — |
| 109 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 110 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 111 | #890 | — | 2 | 1 | no | — |
| 112 | #888 | — | 2 | 1 | no | — |
| 113 | #887 | — | 2 | 1 | no | — |
| 114 | #887 | — | 2 | 1 | no | — |
| 115 | #67⋊C4 | — | 4 | 1 | no | — |
| 116 | #67⋊C4 | — | 4 | 1 | no | — |
| 117 | #878 | — | 4 | 1 | no | — |
| 118 | #877 | — | 4 | 1 | no | — |
| 119 | C4×D12 | — | 2 | 1 | no | — |
| 120 | C4×D12 | — | 2 | 1 | no | — |
| 121 | #870 | — | 2 | 1 | no | — |
| 122 | #869 | — | 2 | 1 | no | — |
| 123 | C4×Dic6 | — | 2 | 1 | no | — |
| 124 | C4×Dic6 | — | 2 | 1 | no | — |
| 125 | C4×Dic6 | — | 2 | 1 | no | — |
| 126 | C4×Dic6 | — | 2 | 1 | no | — |
| 127 | C3×#107 | D4 | 1 | 1 | yes | characteristic |
| 128 | C3×#107 | D4 | 1 | 1 | yes | characteristic |
| 129 | C3×#106 | D4 | 1 | 1 | yes | characteristic |
| 130 | C3×#106 | D4 | 1 | 1 | yes | characteristic |
| 131 | C3×C4⋊C8 | — | 2 | 1 | no | — |
| 132 | C3×C4⋊C8 | — | 2 | 1 | no | — |
| 133 | C3×#97 | — | 2 | 1 | no | — |
| 134 | C3×C4×C8 | — | 2 | 1 | no | — |
| 135 | C3⋊#95 | — | 4 | 1 | no | — |
| 136 | #824 | — | 2 | 2 | no | — |
| 137 | #821 | — | 2 | 1 | no | — |
| 138 | #821 | D4 | 1 | 1 | yes | characteristic |
| 139 | #821 | D4 | 1 | 1 | yes | characteristic |
| 140 | #819 | — | 2 | 2 | no | — |
| 141 | #818 | — | 2 | 1 | no | — |
| 142 | #818 | — | 2 | 1 | no | — |
| 143 | #818 | — | 2 | 1 | no | — |
| 144 | #818 | — | 2 | 1 | no | — |
| 145 | #818 | — | 2 | 1 | no | — |
| 146 | #818 | — | 2 | 1 | no | — |
| 147 | #817 | — | 2 | 1 | no | — |
| 148 | #817 | — | 2 | 1 | no | — |
| 149 | #816 | — | 2 | 1 | no | — |
| 150 | #816 | — | 2 | 1 | no | — |
| 151 | #816 | — | 2 | 1 | no | — |
| 152 | #816 | — | 2 | 1 | no | — |
| 153 | #816 | — | 2 | 1 | no | — |
| 154 | #816 | D4 | 1 | 1 | yes | characteristic |
| 155 | #816 | D4 | 1 | 1 | yes | characteristic |
| 156 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 157 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 158 | #810 | — | 2 | 1 | no | — |
| 159 | #810 | — | 2 | 1 | no | — |
| 160 | #808 | — | 2 | 1 | no | — |
| 161 | #808 | — | 2 | 1 | no | — |
| 162 | #808 | — | 2 | 1 | no | — |
| 163 | #807 | — | 2 | 1 | no | — |
| 164 | #807 | — | 2 | 1 | no | — |
| 165 | #807 | — | 2 | 1 | no | — |
| 166 | #805 | — | 2 | 2 | no | — |
| 167 | C2×#137 | — | 3 | 1 | no | — |
| 168 | C2×#131 | — | 3 | 1 | no | — |
| 169 | #544 | — | 3 | 1 | no | — |
| 170 | #520 | — | 3 | 1 | no | — |
| 171 | #520 | — | 3 | 1 | no | — |
| 172 | #519 | — | 3 | 1 | no | — |
| 173 | #479 | — | 6 | 1 | no | — |
| 174 | #479 | — | 6 | 1 | no | — |
| 175 | #479 | — | 6 | 1 | no | — |
| 176 | #478 | — | 6 | 1 | no | — |
| 177 | #477 | — | 6 | 1 | no | — |
| 178 | #477 | — | 6 | 1 | no | — |
| 179 | #475 | — | 6 | 1 | no | — |
| 180 | #474 | — | 6 | 1 | no | — |
| 181 | #441 | — | 6 | 1 | no | — |
| 182 | #440 | — | 6 | 1 | no | — |
| 183 | C4×Q16 | — | 6 | 1 | no | — |
| 184 | C4×SD16 | — | 6 | 1 | no | — |
| 185 | C2×#108 | — | 3 | 1 | no | — |
| 186 | #428 | — | 3 | 1 | no | — |
| 187 | #428 | — | 3 | 1 | no | — |
| 188 | #428 | — | 3 | 1 | no | — |
| 189 | #428 | — | 3 | 1 | no | — |
| 190 | #428 | — | 3 | 1 | no | — |
| 191 | #428 | — | 6 | 1 | no | — |
| 192 | #428 | — | 6 | 1 | no | — |
| 193 | #427 | — | 6 | 1 | no | — |
| 194 | #427 | C2×D3 | 1 | 1 | yes | characteristic |
| 195 | C2×#107 | — | 3 | 1 | no | — |
| 196 | C2×#107 | — | 3 | 1 | no | — |
| 197 | C2×#107 | — | 6 | 1 | no | — |
| 198 | #424 | — | 3 | 1 | no | — |
| 199 | #424 | C2×D3 | 1 | 1 | yes | characteristic |
| 200 | C2×#104 | — | 3 | 1 | no | — |
| 201 | #419 | — | 3 | 1 | no | — |
| 202 | #417 | — | 3 | 1 | no | — |
| 203 | #416 | — | 3 | 1 | no | — |
| 204 | C2×#103 | — | 3 | 1 | no | — |
| 205 | C2×#103 | — | 3 | 1 | no | — |
| 206 | C2×#101 | — | 3 | 1 | no | — |
| 207 | #405 | C2×D3 | 1 | 1 | yes | characteristic |
| 208 | #391 | — | 3 | 1 | no | — |
| 209 | #384 | — | 3 | 1 | no | — |
| 210 | #343 | — | 3 | 1 | no | — |
| 211 | #343 | — | 3 | 1 | no | — |
| 212 | #343 | — | 3 | 1 | no | — |
| 213 | #341 | C2×D3 | 1 | 1 | yes | characteristic |
| 214 | #339 | — | 3 | 1 | no | — |
| 215 | #339 | C2×D3 | 1 | 1 | yes | characteristic |
| 216 | #339 | C2×D3 | 1 | 1 | yes | characteristic |
| 217 | #336 | C2×D3 | 1 | 1 | yes | characteristic |
| 218 | C22×C3×C4 | — | 2 | 1 | no | — |
| 219 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 220 | C2×#67 | — | 2 | 1 | no | — |
| 221 | C22×Dic3 | — | 2 | 1 | no | — |
| 222 | C22×Dic3 | — | 2 | 1 | no | — |
| 223 | C22×Dic3 | — | 2 | 1 | no | — |
| 224 | C22×Dic3 | — | 2 | 1 | no | — |
| 225 | #235 | — | 2 | 1 | no | — |
| 226 | #235 | — | 2 | 1 | no | — |
| 227 | #235 | C2×Q8 | 1 | 2 | yes | — |
| 228 | #235 | #41 | 1 | 2 | yes | — |
| 229 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C2×C4×D3 | — | 2 | 1 | no | — |
| 231 | C2×C4×D3 | — | 4 | 1 | no | — |
| 232 | C2×C4×D3 | — | 4 | 1 | no | — |
| 233 | C2×Dic6 | — | 2 | 1 | no | — |
| 234 | C2×Dic6 | — | 2 | 1 | no | — |
| 235 | C2×Dic6 | — | 2 | 1 | no | — |
| 236 | C2×Dic6 | — | 2 | 1 | no | — |
| 237 | C2×Dic6 | — | 2 | 1 | no | — |
| 238 | C2×Dic6 | — | 4 | 1 | no | — |
| 239 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C2×Dic6 | C2×Q8 | 1 | 2 | yes | — |
| 241 | C3×M16 | — | 2 | 1 | no | — |
| 242 | C3×M16 | — | 2 | 1 | no | — |
| 243 | C3×M16 | — | 2 | 1 | no | — |
| 244 | C3×M16 | C2×Q8 | 1 | 2 | yes | — |
| 245 | C2×C3×C8 | — | 2 | 1 | no | — |
| 246 | C2×C3×C8 | — | 2 | 1 | no | — |
| 247 | C2×C3×C8 | — | 2 | 1 | no | — |
| 248 | C2×C3×C8 | — | 2 | 1 | no | — |
| 249 | C2×C3×C8 | — | 2 | 1 | no | — |
| 250 | C2×C3×C8 | — | 2 | 1 | no | — |
| 251 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 260 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 261 | C3×C42 | — | 2 | 1 | no | — |
| 262 | C3×C42 | — | 2 | 1 | no | — |
| 263 | C3×C42 | — | 2 | 1 | no | — |
| 264 | C3×C42 | — | 2 | 1 | no | — |
| 265 | #217 | — | 2 | 1 | no | — |
| 266 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 267 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 268 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 269 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 270 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 271 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 272 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 273 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 274 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 275 | C4⋊Dic3 | — | 8 | 2 | no | — |
| 276 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 277 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 278 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 279 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 280 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 281 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 282 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 283 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 284 | C4×Dic3 | — | 2 | 1 | no | — |
| 285 | C4×Dic3 | — | 4 | 1 | no | — |
| 286 | C4×Dic3 | — | 4 | 1 | no | — |
| 287 | C4×Dic3 | — | 4 | 1 | no | — |
| 288 | C4×Dic3 | — | 4 | 1 | no | — |
| 289 | #208 | — | 2 | 1 | no | — |
| 290 | #208 | — | 2 | 1 | no | — |
| 291 | #208 | — | 2 | 1 | no | — |
| 292 | #208 | #41 | 1 | 2 | yes | — |
| 293 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 294 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 295 | Dic12 | — | 2 | 4 | no | — |
| 296 | #204 | — | 2 | 4 | no | — |
| 297 | ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 298 | D3×C8 | — | 2 | 4 | no | — |
| 299 | C2×#41 | — | 3 | 1 | no | — |
| 300 | C22×Q8 | — | 3 | 1 | no | — |
| 301 | #137 | — | 3 | 4 | no | — |
| 302 | #137 | — | 6 | 2 | no | — |
| 303 | C2×Q16 | — | 6 | 1 | no | — |
| 304 | C2×SD16 | — | 6 | 1 | no | — |
| 305 | #131 | — | 6 | 2 | no | — |
| 306 | #131 | — | 6 | 2 | no | — |
| 307 | C2×M16 | — | 3 | 1 | no | — |
| 308 | C2×M16 | — | 3 | 1 | no | — |
| 309 | C2×M16 | — | 6 | 1 | no | — |
| 310 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 311 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 312 | C22×C8 | — | 6 | 1 | no | — |
| 313 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 314 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 315 | C4⋊Q8 | — | 6 | 1 | no | — |
| 316 | C4⋊Q8 | — | 6 | 1 | no | — |
| 317 | #125 | — | 6 | 1 | no | — |
| 318 | #125 | — | 6 | 1 | no | — |
| 319 | C22⋊Q8 | — | 12 | 1 | no | — |
| 320 | C4×Q8 | — | 6 | 1 | no | — |
| 321 | C4×Q8 | — | 6 | 1 | no | — |
| 322 | C4×Q8 | — | 6 | 1 | no | — |
| 323 | C4×Q8 | — | 6 | 1 | no | — |
| 324 | C4×Q8 | — | 6 | 1 | no | — |
| 325 | C4×Q8 | — | 6 | 1 | no | — |
| 326 | C4×D4 | — | 6 | 1 | no | — |
| 327 | C4×D4 | — | 6 | 1 | no | — |
| 328 | C4×D4 | — | 12 | 1 | no | — |
| 329 | C4×D4 | — | 12 | 1 | no | — |
| 330 | #117 | — | 3 | 1 | no | — |
| 331 | #117 | — | 6 | 1 | no | — |
| 332 | #117 | — | 6 | 1 | no | — |
| 333 | #117 | — | 12 | 1 | no | — |
| 334 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 335 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 336 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 337 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 338 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 339 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 340 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 341 | C2×C4⋊C4 | — | 12 | 1 | no | — |
| 342 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 343 | #108 | — | 6 | 2 | no | — |
| 344 | #107 | — | 6 | 1 | no | — |
| 345 | #107 | — | 6 | 1 | no | — |
| 346 | #107 | — | 6 | 1 | no | — |
| 347 | #107 | — | 6 | 1 | no | — |
| 348 | #107 | — | 6 | 1 | no | — |
| 349 | #107 | — | 6 | 1 | no | — |
| 350 | #107 | — | 6 | 1 | no | — |
| 351 | #107 | — | 6 | 1 | no | — |
| 352 | #107 | — | 6 | 1 | no | — |
| 353 | #107 | D12 | 1 | 1 | yes | characteristic |
| 354 | #107 | D12 | 1 | 1 | yes | characteristic |
| 355 | #106 | — | 6 | 1 | no | — |
| 356 | #106 | — | 6 | 1 | no | — |
| 357 | #106 | — | 6 | 1 | no | — |
| 358 | #106 | — | 6 | 1 | no | — |
| 359 | #106 | — | 6 | 1 | no | — |
| 360 | #106 | D12 | 1 | 1 | yes | characteristic |
| 361 | #106 | D12 | 1 | 1 | yes | characteristic |
| 362 | C4⋊C8 | — | 2 | 1 | no | — |
| 363 | C4⋊C8 | — | 2 | 1 | no | — |
| 364 | C4⋊C8 | — | 6 | 1 | no | — |
| 365 | C4⋊C8 | — | 6 | 1 | no | — |
| 366 | #104 | — | 6 | 2 | no | — |
| 367 | #103 | — | 3 | 1 | no | — |
| 368 | #103 | — | 3 | 1 | no | — |
| 369 | #103 | — | 6 | 1 | no | — |
| 370 | #103 | — | 6 | 1 | no | — |
| 371 | #103 | — | 6 | 1 | no | — |
| 372 | #103 | — | 6 | 1 | no | — |
| 373 | #103 | — | 6 | 1 | no | — |
| 374 | #103 | — | 6 | 1 | no | — |
| 375 | #103 | — | 6 | 1 | no | — |
| 376 | #102 | — | 3 | 1 | no | — |
| 377 | #102 | — | 3 | 1 | no | — |
| 378 | #102 | — | 6 | 1 | no | — |
| 379 | #101 | — | 6 | 2 | no | — |
| 380 | #97 | — | 2 | 1 | no | — |
| 381 | C4×C8 | — | 2 | 1 | no | — |
| 382 | #95 | — | 12 | 1 | no | — |
| 383 | C23×C3 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 384 | C22×D3 | — | 2 | 1 | no | — |
| 385 | C2×C3×C4 | — | 2 | 2 | no | — |
| 386 | C2×C3×C4 | — | 2 | 1 | no | — |
| 387 | C2×C3×C4 | — | 2 | 1 | no | — |
| 388 | C2×C3×C4 | — | 2 | 1 | no | — |
| 389 | C2×C3×C4 | — | 2 | 1 | no | — |
| 390 | C2×C3×C4 | — | 4 | 1 | no | — |
| 391 | C2×C3×C4 | — | 4 | 1 | no | — |
| 392 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 393 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 394 | C2×C3×C4 | C22×Q8 | 1 | 1 | yes | characteristic |
| 395 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 396 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 397 | C2×C3×C4 | 2−1+4 | 1 | 1 | yes | characteristic |
| 398 | #67 | — | 2 | 2 | no | — |
| 399 | #67 | — | 2 | 2 | no | — |
| 400 | C2×Dic3 | — | 2 | 1 | no | — |
| 401 | C2×Dic3 | — | 2 | 1 | no | — |
| 402 | C2×Dic3 | — | 2 | 1 | no | — |
| 403 | C2×Dic3 | — | 2 | 2 | no | — |
| 404 | C2×Dic3 | — | 4 | 1 | no | — |
| 405 | C2×Dic3 | — | 4 | 1 | no | — |
| 406 | C2×Dic3 | — | 4 | 1 | no | — |
| 407 | C2×Dic3 | — | 4 | 1 | no | — |
| 408 | C2×Dic3 | — | 4 | 1 | no | — |
| 409 | C2×Dic3 | — | 8 | 1 | no | — |
| 410 | C2×Dic3 | — | 8 | 1 | no | — |
| 411 | C2×Dic3 | — | 8 | 1 | no | — |
| 412 | D12 | — | 2 | 1 | no | — |
| 413 | D12 | C22⋊Q8 | 1 | 2 | yes | — |
| 414 | C4×D3 | — | 2 | 2 | no | — |
| 415 | C4×D3 | — | 2 | 2 | no | — |
| 416 | C4×D3 | — | 16 | 1 | no | — |
| 417 | C4×D3 | — | 16 | 1 | no | — |
| 418 | Dic6 | — | 2 | 1 | no | — |
| 419 | Dic6 | — | 2 | 2 | no | — |
| 420 | Dic6 | — | 2 | 2 | no | — |
| 421 | Dic6 | — | 4 | 1 | no | — |
| 422 | Dic6 | — | 4 | 1 | no | — |
| 423 | Dic6 | — | 16 | 1 | no | — |
| 424 | Dic6 | C22⋊Q8 | 1 | 2 | yes | — |
| 425 | C3×C8 | — | 2 | 2 | no | — |
| 426 | C3×C8 | — | 2 | 1 | no | — |
| 427 | C3×C8 | — | 2 | 1 | no | — |
| 428 | C3×C8 | — | 2 | 1 | no | — |
| 429 | C3×C8 | — | 2 | 1 | no | — |
| 430 | C3×C8 | — | 4 | 1 | no | — |
| 431 | C3⋊C8 | — | 2 | 2 | no | — |
| 432 | C3⋊C8 | — | 4 | 1 | no | — |
| 433 | #41 | — | 3 | 2 | no | — |
| 434 | #41 | — | 3 | 2 | no | — |
| 435 | #41 | — | 6 | 1 | no | — |
| 436 | #41 | — | 6 | 1 | no | — |
| 437 | C2×Q8 | — | 3 | 1 | no | — |
| 438 | C2×Q8 | — | 3 | 2 | no | — |
| 439 | C2×Q8 | — | 6 | 1 | no | — |
| 440 | C2×Q8 | — | 6 | 1 | no | — |
| 441 | C2×Q8 | — | 6 | 1 | no | — |
| 442 | C2×Q8 | — | 6 | 1 | no | — |
| 443 | C2×Q8 | — | 6 | 1 | no | — |
| 444 | C2×Q8 | — | 12 | 1 | no | — |
| 445 | C2×D4 | — | 3 | 1 | no | — |
| 446 | C2×D4 | — | 6 | 1 | no | — |
| 447 | C22×C4 | — | 2 | 1 | no | — |
| 448 | C22×C4 | — | 6 | 1 | no | — |
| 449 | C22×C4 | — | 6 | 1 | no | — |
| 450 | C22×C4 | — | 6 | 1 | no | — |
| 451 | C22×C4 | — | 6 | 1 | no | — |
| 452 | C22×C4 | — | 6 | 1 | no | — |
| 453 | C22×C4 | — | 12 | 1 | no | — |
| 454 | C22×C4 | — | 12 | 1 | no | — |
| 455 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 456 | Q16 | — | 6 | 4 | no | — |
| 457 | SD16 | — | 6 | 4 | no | — |
| 458 | M16 | — | 2 | 1 | no | — |
| 459 | M16 | — | 2 | 1 | no | — |
| 460 | M16 | — | 2 | 1 | no | — |
| 461 | M16 | — | 3 | 2 | no | — |
| 462 | M16 | — | 6 | 4 | no | — |
| 463 | M16 | — | 6 | 1 | no | — |
| 464 | M16 | — | 6 | 1 | no | — |
| 465 | M16 | — | 6 | 1 | no | — |
| 466 | M16 | D3×Q8 | 1 | 2 | yes | — |
| 467 | C2×C8 | — | 2 | 1 | no | — |
| 468 | C2×C8 | — | 2 | 1 | no | — |
| 469 | C2×C8 | — | 2 | 1 | no | — |
| 470 | C2×C8 | — | 2 | 1 | no | — |
| 471 | C2×C8 | — | 2 | 1 | no | — |
| 472 | C2×C8 | — | 2 | 1 | no | — |
| 473 | C2×C8 | — | 6 | 4 | no | — |
| 474 | C2×C8 | — | 6 | 1 | no | — |
| 475 | C2×C8 | — | 6 | 1 | no | — |
| 476 | C2×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 477 | C2×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 478 | C2×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 479 | C2×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 480 | C4⋊C4 | — | 3 | 1 | no | — |
| 481 | C4⋊C4 | — | 3 | 1 | no | — |
| 482 | C4⋊C4 | — | 6 | 1 | no | — |
| 483 | C4⋊C4 | — | 6 | 1 | no | — |
| 484 | C4⋊C4 | — | 6 | 1 | no | — |
| 485 | C4⋊C4 | — | 6 | 1 | no | — |
| 486 | C4⋊C4 | — | 6 | 1 | no | — |
| 487 | C4⋊C4 | — | 6 | 1 | no | — |
| 488 | C4⋊C4 | — | 12 | 1 | no | — |
| 489 | C4⋊C4 | — | 12 | 1 | no | — |
| 490 | C4⋊C4 | — | 12 | 1 | no | — |
| 491 | C4⋊C4 | — | 12 | 1 | no | — |
| 492 | C4⋊C4 | — | 12 | 1 | no | — |
| 493 | C4⋊C4 | — | 12 | 1 | no | — |
| 494 | C4⋊C4 | — | 12 | 1 | no | — |
| 495 | C4⋊C4 | — | 24 | 2 | no | — |
| 496 | C4⋊C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 497 | C4⋊C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 498 | C4⋊C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 499 | C4⋊C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 500 | C22⋊C4 | — | 2 | 1 | no | — |
| 501 | C22⋊C4 | — | 2 | 1 | no | — |
| 502 | C22⋊C4 | — | 6 | 1 | no | — |
| 503 | C22⋊C4 | — | 12 | 1 | no | — |
| 504 | C22⋊C4 | — | 12 | 1 | no | — |
| 505 | C42 | — | 2 | 1 | no | — |
| 506 | C42 | — | 2 | 1 | no | — |
| 507 | C42 | — | 2 | 1 | no | — |
| 508 | C42 | — | 2 | 1 | no | — |
| 509 | C42 | — | 6 | 1 | no | — |
| 510 | C42 | — | 12 | 1 | no | — |
| 511 | C42 | — | 12 | 1 | no | — |
| 512 | C42 | — | 12 | 1 | no | — |
| 513 | C42 | — | 12 | 1 | no | — |
| 514 | C22×C3 | — | 2 | 1 | no | — |
| 515 | C22×C3 | — | 2 | 1 | no | — |
| 516 | C22×C3 | #539 | 1 | 1 | yes | characteristic |
| 517 | C22×C3 | D42 | 1 | 1 | yes | characteristic |
| 518 | C22×C3 | #554 | 1 | 1 | yes | characteristic |
| 519 | C2×D3 | — | 2 | 2 | no | — |
| 520 | C2×D3 | — | 4 | 1 | no | — |
| 521 | C2×D3 | — | 4 | 1 | no | — |
| 522 | C3×C4 | — | 4 | 2 | no | — |
| 523 | C3×C4 | — | 4 | 1 | no | — |
| 524 | C3×C4 | — | 4 | 1 | no | — |
| 525 | C3×C4 | — | 4 | 1 | no | — |
| 526 | C3×C4 | — | 4 | 1 | no | — |
| 527 | C3×C4 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 528 | C3×C4 | #525 | 1 | 1 | yes | characteristic |
| 529 | C3×C4 | #547 | 1 | 1 | yes | characteristic |
| 530 | C3×C4 | D4×Q8 | 1 | 1 | yes | characteristic |
| 531 | Dic3 | — | 2 | 2 | no | — |
| 532 | Dic3 | — | 4 | 2 | no | — |
| 533 | Dic3 | — | 4 | 1 | no | — |
| 534 | Dic3 | — | 4 | 1 | no | — |
| 535 | Dic3 | — | 8 | 1 | no | — |
| 536 | Dic3 | — | 8 | 1 | no | — |
| 537 | Dic3 | — | 8 | 1 | no | — |
| 538 | C23 | — | 6 | 1 | no | — |
| 539 | C23 | #1009 | 1 | 1 | yes | characteristic |
| 540 | Q8 | — | 3 | 2 | no | — |
| 541 | Q8 | — | 6 | 1 | no | — |
| 542 | Q8 | — | 6 | 2 | no | — |
| 543 | Q8 | — | 6 | 2 | no | — |
| 544 | Q8 | — | 12 | 1 | no | — |
| 545 | Q8 | — | 12 | 1 | no | — |
| 546 | Q8 | — | 48 | 1 | no | — |
| 547 | D4 | — | 3 | 2 | no | — |
| 548 | D4 | — | 6 | 2 | no | — |
| 549 | D4 | — | 6 | 2 | no | — |
| 550 | D4 | — | 6 | 1 | no | — |
| 551 | C2×C4 | — | 2 | 2 | no | — |
| 552 | C2×C4 | — | 2 | 1 | no | — |
| 553 | C2×C4 | — | 2 | 1 | no | — |
| 554 | C2×C4 | — | 2 | 1 | no | — |
| 555 | C2×C4 | — | 2 | 1 | no | — |
| 556 | C2×C4 | — | 4 | 1 | no | — |
| 557 | C2×C4 | — | 4 | 1 | no | — |
| 558 | C2×C4 | — | 6 | 1 | no | — |
| 559 | C2×C4 | — | 6 | 2 | no | — |
| 560 | C2×C4 | — | 6 | 2 | no | — |
| 561 | C2×C4 | — | 6 | 2 | no | — |
| 562 | C2×C4 | — | 6 | 1 | no | — |
| 563 | C2×C4 | — | 6 | 1 | no | — |
| 564 | C2×C4 | — | 12 | 1 | no | — |
| 565 | C2×C4 | — | 12 | 1 | no | — |
| 566 | C2×C4 | — | 12 | 1 | no | — |
| 567 | C2×C4 | — | 12 | 1 | no | — |
| 568 | C2×C4 | — | 12 | 1 | no | — |
| 569 | C2×C4 | — | 24 | 1 | no | — |
| 570 | C2×C4 | — | 24 | 1 | no | — |
| 571 | C2×C4 | — | 24 | 1 | no | — |
| 572 | C2×C4 | — | 48 | 1 | no | — |
| 573 | C2×C4 | — | 48 | 1 | no | — |
| 574 | C2×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 575 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 576 | C2×C4 | C2×D3×Q8 | 1 | 1 | yes | characteristic |
| 577 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 578 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 579 | C2×C4 | #1010 | 1 | 1 | yes | characteristic |
| 580 | C8 | — | 2 | 1 | no | — |
| 581 | C8 | — | 2 | 1 | no | — |
| 582 | C8 | — | 2 | 1 | no | — |
| 583 | C8 | — | 2 | 1 | no | — |
| 584 | C8 | — | 2 | 2 | no | — |
| 585 | C8 | — | 4 | 1 | no | — |
| 586 | C8 | — | 6 | 2 | no | — |
| 587 | C8 | — | 12 | 1 | no | — |
| 588 | C2×C3 | — | 2 | 1 | no | — |
| 589 | C2×C3 | — | 2 | 1 | no | — |
| 590 | C2×C3 | #2449 | 1 | 1 | yes | characteristic |
| 591 | C2×C3 | #3288 | 1 | 1 | yes | characteristic |
| 592 | C2×C3 | #3293 | 1 | 1 | yes | characteristic |
| 593 | D3 | — | 4 | 2 | no | — |
| 594 | C22 | — | 2 | 1 | no | — |
| 595 | C22 | — | 2 | 1 | no | — |
| 596 | C22 | — | 6 | 2 | no | — |
| 597 | C22 | — | 12 | 1 | no | — |
| 598 | C22 | — | 12 | 1 | no | — |
| 599 | C22 | D4×D12 | 1 | 1 | yes | characteristic |
| 600 | C22 | #5690 | 1 | 1 | yes | characteristic |
| 601 | C22 | #5707 | 1 | 1 | yes | characteristic |
| 602 | C4 | — | 4 | 2 | no | — |
| 603 | C4 | — | 4 | 1 | no | — |
| 604 | C4 | — | 4 | 1 | no | — |
| 605 | C4 | — | 4 | 1 | no | — |
| 606 | C4 | — | 4 | 1 | no | — |
| 607 | C4 | — | 6 | 2 | no | — |
| 608 | C4 | — | 12 | 1 | no | — |
| 609 | C4 | — | 12 | 1 | no | — |
| 610 | C4 | — | 12 | 2 | no | — |
| 611 | C4 | — | 24 | 1 | no | — |
| 612 | C4 | — | 24 | 1 | no | — |
| 613 | C4 | — | 24 | 1 | no | — |
| 614 | C4 | #5524 | 1 | 1 | yes | characteristic |
| 615 | C4 | Q8×D12 | 1 | 1 | yes | characteristic |
| 616 | C4 | D3×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 617 | C4 | #5655 | 1 | 1 | yes | characteristic |
| 618 | C3 | #26406 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 619 | C2 | — | 2 | 1 | no | — |
| 620 | C2 | — | 2 | 1 | no | — |
| 621 | C2 | — | 12 | 2 | no | — |
| 622 | C2 | #75321 | 1 | 1 | yes | characteristic |
| 623 | C2 | #79895 | 1 | 1 | yes | characteristic |
| 624 | C2 | #79900 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta