← #11675844
Subgroups — #11675844
Order 768.
1682 conjugacy classes of subgroups.
The subgroup lattice has 1042 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #86585 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #85875 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×#3082 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #83473 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #82549 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #81227 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #81224 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #81222 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #81222 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #81105 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #81102 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #81007 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #81006 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #79245 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #79206 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | #79198 | C2 | 1 | 1 | yes | maximal, characteristic |
| 17 | #79170 | C2 | 1 | 1 | yes | maximal, characteristic |
| 18 | #79101 | C2 | 1 | 1 | yes | maximal, characteristic |
| 19 | #79076 | C2 | 1 | 1 | yes | maximal, characteristic |
| 20 | #78949 | C2 | 1 | 1 | yes | maximal, characteristic |
| 21 | #78948 | C2 | 1 | 1 | yes | maximal, characteristic |
| 22 | #78779 | C2 | 1 | 1 | yes | maximal, characteristic |
| 23 | C2×#4790 | C2 | 1 | 1 | yes | maximal, characteristic |
| 24 | #61372 | — | 3 | 1 | no | maximal, Sylow |
| 25 | C3×#544 | C22 | 1 | 1 | yes | characteristic |
| 26 | C3×#519 | C22 | 1 | 1 | yes | characteristic |
| 27 | #5812 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×Q8×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 29 | C22×#216 | C22 | 1 | 1 | yes | characteristic |
| 30 | #5722 | — | 2 | 1 | no | — |
| 31 | #5722 | C22 | 1 | 2 | yes | — |
| 32 | #5721 | — | 2 | 1 | no | — |
| 33 | #5721 | C22 | 1 | 2 | yes | — |
| 34 | #5685 | — | 2 | 1 | no | — |
| 35 | #5685 | — | 2 | 1 | no | — |
| 36 | #5685 | C22 | 1 | 2 | yes | — |
| 37 | #5685 | C22 | 1 | 2 | yes | — |
| 38 | #5623 | — | 2 | 2 | no | — |
| 39 | #5622 | — | 2 | 2 | no | — |
| 40 | #5570 | — | 2 | 1 | no | — |
| 41 | #5570 | C22 | 1 | 2 | yes | — |
| 42 | #5569 | — | 2 | 1 | no | — |
| 43 | #5569 | — | 2 | 1 | no | — |
| 44 | #5569 | C22 | 1 | 2 | yes | — |
| 45 | #5569 | C22 | 1 | 2 | yes | — |
| 46 | Q8×Dic6 | — | 2 | 1 | no | — |
| 47 | Q8×Dic6 | C22 | 1 | 2 | yes | — |
| 48 | #5519 | — | 2 | 2 | no | — |
| 49 | #5519 | C22 | 1 | 1 | yes | characteristic |
| 50 | #5519 | C22 | 1 | 1 | yes | characteristic |
| 51 | #5517 | — | 2 | 2 | no | — |
| 52 | #5517 | C22 | 1 | 1 | yes | characteristic |
| 53 | #5517 | C22 | 1 | 1 | yes | characteristic |
| 54 | #5517 | C22 | 1 | 1 | yes | characteristic |
| 55 | #5516 | C22 | 1 | 1 | yes | characteristic |
| 56 | #5516 | C22 | 1 | 1 | yes | characteristic |
| 57 | #5500 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#887 | C22 | 1 | 1 | yes | characteristic |
| 59 | C3×#479 | C22 | 1 | 2 | yes | — |
| 60 | C3×#479 | C22 | 1 | 2 | yes | — |
| 61 | C3×#477 | C22 | 1 | 2 | yes | — |
| 62 | C3×#475 | C22 | 1 | 2 | yes | — |
| 63 | C3×#428 | C22 | 1 | 1 | yes | characteristic |
| 64 | C3×#427 | C22 | 1 | 1 | yes | characteristic |
| 65 | C3×#424 | C22 | 1 | 1 | yes | characteristic |
| 66 | C3×#419 | C22 | 1 | 1 | yes | characteristic |
| 67 | C2×C3×#103 | C22 | 1 | 1 | yes | characteristic |
| 68 | #5225 | C22 | 1 | 1 | yes | characteristic |
| 69 | #5122 | C22 | 1 | 1 | yes | characteristic |
| 70 | #5121 | C22 | 1 | 1 | yes | characteristic |
| 71 | #5120 | C22 | 1 | 1 | yes | characteristic |
| 72 | #5118 | C22 | 1 | 1 | yes | characteristic |
| 73 | #5106 | C22 | 1 | 1 | yes | characteristic |
| 74 | C2×#816 | C22 | 1 | 1 | yes | characteristic |
| 75 | #5102 | C22 | 1 | 1 | yes | characteristic |
| 76 | C2×C8×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 77 | #5081 | C22 | 1 | 2 | yes | — |
| 78 | #5078 | C22 | 1 | 2 | yes | — |
| 79 | #5065 | C22 | 1 | 2 | yes | — |
| 80 | #5064 | C22 | 1 | 2 | yes | — |
| 81 | #5030 | C22 | 1 | 2 | yes | — |
| 82 | #5030 | C22 | 1 | 2 | yes | — |
| 83 | C4×#216 | C22 | 1 | 2 | yes | — |
| 84 | C4×#216 | C22 | 1 | 2 | yes | — |
| 85 | #5004 | C22 | 1 | 1 | yes | characteristic |
| 86 | #4998 | C22 | 1 | 1 | yes | characteristic |
| 87 | #4998 | C22 | 1 | 1 | yes | characteristic |
| 88 | #4997 | C22 | 1 | 1 | yes | characteristic |
| 89 | #4995 | C22 | 1 | 1 | yes | characteristic |
| 90 | #4964 | C22 | 1 | 1 | yes | characteristic |
| 91 | C2×#807 | C22 | 1 | 1 | yes | characteristic |
| 92 | #4878 | C22 | 1 | 1 | yes | characteristic |
| 93 | #4878 | C22 | 1 | 1 | yes | characteristic |
| 94 | #4877 | C22 | 1 | 2 | yes | — |
| 95 | #4877 | C22 | 1 | 2 | yes | — |
| 96 | #4876 | C22 | 1 | 2 | yes | — |
| 97 | #4875 | C22 | 1 | 2 | yes | — |
| 98 | #4875 | C22 | 1 | 2 | yes | — |
| 99 | #4874 | C22 | 1 | 1 | yes | characteristic |
| 100 | #4874 | C22 | 1 | 1 | yes | characteristic |
| 101 | #4874 | C22 | 1 | 2 | yes | — |
| 102 | #4858 | C22 | 1 | 1 | yes | characteristic |
| 103 | #4858 | C22 | 1 | 1 | yes | characteristic |
| 104 | #4858 | C22 | 1 | 2 | yes | — |
| 105 | #4857 | C22 | 1 | 2 | yes | — |
| 106 | #4857 | C22 | 1 | 2 | yes | — |
| 107 | #4856 | C22 | 1 | 2 | yes | — |
| 108 | #4855 | C22 | 1 | 1 | yes | characteristic |
| 109 | #4855 | C22 | 1 | 1 | yes | characteristic |
| 110 | #4854 | C22 | 1 | 2 | yes | — |
| 111 | #4854 | C22 | 1 | 2 | yes | — |
| 112 | #4851 | C22 | 1 | 2 | yes | — |
| 113 | #4850 | C22 | 1 | 2 | yes | — |
| 114 | #4830 | C22 | 1 | 2 | yes | — |
| 115 | #4830 | C22 | 1 | 2 | yes | — |
| 116 | #4829 | C22 | 1 | 2 | yes | — |
| 117 | #4829 | C22 | 1 | 2 | yes | — |
| 118 | #4828 | C22 | 1 | 2 | yes | — |
| 119 | #4828 | C22 | 1 | 2 | yes | — |
| 120 | #4799 | C22 | 1 | 2 | yes | — |
| 121 | #4799 | C22 | 1 | 2 | yes | — |
| 122 | #4796 | C22 | 1 | 2 | yes | — |
| 123 | #4796 | C22 | 1 | 2 | yes | — |
| 124 | #4793 | C22 | 1 | 2 | yes | — |
| 125 | #4793 | C22 | 1 | 2 | yes | — |
| 126 | #4791 | C22 | 1 | 2 | yes | — |
| 127 | #4791 | C22 | 1 | 2 | yes | — |
| 128 | #4790 | C22 | 1 | 2 | yes | — |
| 129 | #4790 | C22 | 1 | 2 | yes | — |
| 130 | #4790 | C22 | 1 | 2 | yes | — |
| 131 | #4790 | C22 | 1 | 2 | yes | — |
| 132 | #4790 | C22 | 1 | 2 | yes | — |
| 133 | #4790 | C22 | 1 | 2 | yes | — |
| 134 | #4789 | C22 | 1 | 2 | yes | — |
| 135 | #4789 | C22 | 1 | 2 | yes | — |
| 136 | #3502 | — | 3 | 1 | no | — |
| 137 | #3502 | — | 3 | 1 | no | — |
| 138 | #3390 | — | 3 | 2 | no | — |
| 139 | #3390 | — | 3 | 2 | no | — |
| 140 | #3387 | — | 3 | 2 | no | — |
| 141 | #3387 | — | 3 | 2 | no | — |
| 142 | #3383 | — | 3 | 2 | no | — |
| 143 | #3383 | — | 3 | 2 | no | — |
| 144 | #3383 | — | 3 | 2 | no | — |
| 145 | Q8×Q16 | — | 3 | 2 | no | — |
| 146 | #3164 | — | 3 | 1 | no | — |
| 147 | #3164 | — | 3 | 1 | no | — |
| 148 | #3160 | — | 3 | 1 | no | — |
| 149 | #3082 | — | 3 | 1 | no | — |
| 150 | #3082 | — | 3 | 1 | no | — |
| 151 | #3082 | — | 3 | 1 | no | — |
| 152 | #3082 | D3 | 1 | 1 | yes | characteristic |
| 153 | #3078 | — | 3 | 1 | no | — |
| 154 | #3078 | — | 3 | 1 | no | — |
| 155 | #2960 | — | 3 | 1 | no | — |
| 156 | #2950 | — | 3 | 1 | no | — |
| 157 | #2950 | — | 3 | 1 | no | — |
| 158 | C2×C4×Q16 | — | 3 | 1 | no | — |
| 159 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 160 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 161 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 162 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 163 | C3×C4⋊Q8 | — | 2 | 1 | no | — |
| 164 | C3×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 165 | C3×#125 | — | 2 | 1 | no | — |
| 166 | C3×#125 | C23 | 1 | 2 | yes | — |
| 167 | C3×C22⋊Q8 | — | 2 | 2 | no | — |
| 168 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 169 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 170 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 171 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 172 | C3×#117 | — | 2 | 2 | no | — |
| 173 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 174 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 175 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 176 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 177 | Q8×Dic3 | — | 2 | 2 | no | — |
| 178 | Q8×Dic3 | — | 2 | 1 | no | — |
| 179 | Q8×Dic3 | — | 2 | 1 | no | — |
| 180 | Q8×Dic3 | — | 2 | 1 | no | — |
| 181 | Q8×Dic3 | — | 2 | 1 | no | — |
| 182 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 183 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 184 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 185 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 186 | #944 | — | 2 | 2 | no | — |
| 187 | #944 | — | 2 | 2 | no | — |
| 188 | #944 | — | 2 | 2 | no | — |
| 189 | C2×#216 | Q8 | 1 | 8 | yes | complemented |
| 190 | C2×#216 | C23 | 1 | 2 | yes | — |
| 191 | C2×#216 | C23 | 1 | 2 | yes | — |
| 192 | #926 | — | 2 | 2 | no | — |
| 193 | #926 | C23 | 1 | 1 | yes | characteristic |
| 194 | #926 | C23 | 1 | 1 | yes | characteristic |
| 195 | #926 | C23 | 1 | 1 | yes | characteristic |
| 196 | C2×C4⋊Dic3 | — | 2 | 1 | no | — |
| 197 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 198 | #924 | — | 2 | 2 | no | — |
| 199 | C2×Dic3⋊C4 | — | 2 | 1 | no | — |
| 200 | C2×C4×Dic3 | — | 2 | 1 | no | — |
| 201 | C2×C4×Dic3 | — | 2 | 1 | no | — |
| 202 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 203 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 204 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 205 | #890 | — | 2 | 1 | no | — |
| 206 | #890 | — | 2 | 1 | no | — |
| 207 | #890 | — | 2 | 2 | no | — |
| 208 | #890 | — | 2 | 2 | no | — |
| 209 | #890 | — | 2 | 2 | no | — |
| 210 | #890 | — | 2 | 2 | no | — |
| 211 | #890 | D4 | 1 | 1 | yes | characteristic |
| 212 | #890 | D4 | 1 | 1 | yes | characteristic |
| 213 | #890 | C23 | 1 | 2 | yes | — |
| 214 | #890 | C23 | 1 | 1 | yes | characteristic |
| 215 | #890 | C23 | 1 | 2 | yes | — |
| 216 | #890 | C23 | 1 | 1 | yes | characteristic |
| 217 | #890 | C23 | 1 | 1 | yes | characteristic |
| 218 | #890 | C23 | 1 | 1 | yes | characteristic |
| 219 | #889 | — | 2 | 2 | no | — |
| 220 | #889 | — | 2 | 2 | no | — |
| 221 | #889 | — | 2 | 2 | no | — |
| 222 | #889 | — | 2 | 2 | no | — |
| 223 | #889 | — | 2 | 2 | no | — |
| 224 | #889 | — | 2 | 2 | no | — |
| 225 | #888 | — | 2 | 2 | no | — |
| 226 | #888 | — | 2 | 2 | no | — |
| 227 | #888 | — | 2 | 2 | no | — |
| 228 | #888 | — | 2 | 2 | no | — |
| 229 | #888 | — | 2 | 1 | no | — |
| 230 | #888 | — | 2 | 1 | no | — |
| 231 | #888 | — | 2 | 2 | no | — |
| 232 | #888 | — | 2 | 2 | no | — |
| 233 | #888 | — | 2 | 2 | no | — |
| 234 | #888 | D4 | 1 | 1 | yes | characteristic |
| 235 | #888 | D4 | 1 | 1 | yes | characteristic |
| 236 | #888 | C23 | 1 | 1 | yes | characteristic |
| 237 | #888 | C23 | 1 | 2 | yes | — |
| 238 | #888 | C23 | 1 | 1 | yes | characteristic |
| 239 | #888 | C23 | 1 | 2 | yes | — |
| 240 | #888 | C23 | 1 | 1 | yes | characteristic |
| 241 | #888 | C23 | 1 | 1 | yes | characteristic |
| 242 | #887 | — | 2 | 2 | no | — |
| 243 | #887 | — | 2 | 1 | no | — |
| 244 | #887 | — | 2 | 1 | no | — |
| 245 | #887 | — | 2 | 2 | no | — |
| 246 | #887 | — | 2 | 2 | no | — |
| 247 | #887 | — | 2 | 1 | no | — |
| 248 | #887 | — | 2 | 1 | no | — |
| 249 | #887 | C23 | 1 | 2 | yes | — |
| 250 | #887 | C23 | 1 | 2 | yes | — |
| 251 | #887 | C23 | 1 | 2 | yes | — |
| 252 | #887 | C23 | 1 | 2 | yes | — |
| 253 | #878 | — | 2 | 1 | no | — |
| 254 | #878 | — | 2 | 1 | no | — |
| 255 | #878 | — | 2 | 1 | no | — |
| 256 | #878 | — | 2 | 1 | no | — |
| 257 | #878 | — | 2 | 2 | no | — |
| 258 | #878 | — | 2 | 2 | no | — |
| 259 | #878 | D4 | 1 | 2 | yes | — |
| 260 | #878 | D4 | 1 | 2 | yes | — |
| 261 | #877 | — | 2 | 2 | no | — |
| 262 | #877 | — | 2 | 2 | no | — |
| 263 | #870 | — | 2 | 1 | no | — |
| 264 | #870 | — | 2 | 2 | no | — |
| 265 | #870 | — | 2 | 2 | no | — |
| 266 | #870 | C23 | 1 | 2 | yes | — |
| 267 | #869 | — | 2 | 2 | no | — |
| 268 | #869 | — | 2 | 2 | no | — |
| 269 | #869 | — | 2 | 1 | no | — |
| 270 | #869 | C23 | 1 | 2 | yes | — |
| 271 | C4×Dic6 | — | 2 | 2 | no | — |
| 272 | C4×Dic6 | — | 2 | 1 | no | — |
| 273 | C4×Dic6 | — | 2 | 1 | no | — |
| 274 | C4×Dic6 | — | 2 | 2 | no | — |
| 275 | C4×Dic6 | — | 2 | 2 | no | — |
| 276 | C4×Dic6 | — | 2 | 2 | no | — |
| 277 | C4×Dic6 | — | 2 | 1 | no | — |
| 278 | C4×Dic6 | — | 2 | 1 | no | — |
| 279 | C4×Dic6 | — | 2 | 1 | no | — |
| 280 | C4×Dic6 | — | 2 | 1 | no | — |
| 281 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 282 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 283 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 284 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 285 | C3×#107 | C23 | 1 | 1 | yes | characteristic |
| 286 | C3×#107 | C23 | 1 | 2 | yes | — |
| 287 | C3×#107 | C23 | 1 | 1 | yes | characteristic |
| 288 | C3×#106 | C23 | 1 | 1 | yes | characteristic |
| 289 | C3×#106 | C23 | 1 | 1 | yes | characteristic |
| 290 | C3×#106 | C23 | 1 | 2 | yes | — |
| 291 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 292 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 293 | C3×#103 | C23 | 1 | 2 | yes | — |
| 294 | C3×#103 | C23 | 1 | 2 | yes | — |
| 295 | C3×#103 | C23 | 1 | 2 | yes | — |
| 296 | C3×#103 | C23 | 1 | 2 | yes | — |
| 297 | #835 | C23 | 1 | 2 | yes | — |
| 298 | #835 | C23 | 1 | 2 | yes | — |
| 299 | #818 | C23 | 1 | 2 | yes | — |
| 300 | #818 | C23 | 1 | 1 | yes | characteristic |
| 301 | #818 | C23 | 1 | 1 | yes | characteristic |
| 302 | #817 | C23 | 1 | 2 | yes | — |
| 303 | #817 | C23 | 1 | 1 | yes | characteristic |
| 304 | #817 | C23 | 1 | 1 | yes | characteristic |
| 305 | #816 | C23 | 1 | 2 | yes | — |
| 306 | #816 | C23 | 1 | 2 | yes | — |
| 307 | #816 | C23 | 1 | 2 | yes | — |
| 308 | #816 | C23 | 1 | 2 | yes | — |
| 309 | #815 | C23 | 1 | 2 | yes | — |
| 310 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 311 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 312 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 313 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 314 | C8×Dic3 | C23 | 1 | 2 | yes | — |
| 315 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 316 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 317 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 318 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 319 | #810 | C23 | 1 | 2 | yes | — |
| 320 | #810 | C23 | 1 | 2 | yes | — |
| 321 | #808 | C23 | 1 | 1 | yes | characteristic |
| 322 | #808 | C23 | 1 | 2 | yes | — |
| 323 | #808 | C23 | 1 | 2 | yes | — |
| 324 | #808 | C23 | 1 | 1 | yes | characteristic |
| 325 | #808 | C23 | 1 | 1 | yes | characteristic |
| 326 | #808 | C23 | 1 | 1 | yes | characteristic |
| 327 | #807 | C23 | 1 | 1 | yes | characteristic |
| 328 | #807 | C23 | 1 | 2 | yes | — |
| 329 | #807 | C23 | 1 | 1 | yes | characteristic |
| 330 | #807 | C23 | 1 | 1 | yes | characteristic |
| 331 | #807 | C23 | 1 | 1 | yes | characteristic |
| 332 | #807 | C23 | 1 | 2 | yes | — |
| 333 | #807 | C23 | 1 | 2 | yes | — |
| 334 | #807 | C23 | 1 | 2 | yes | — |
| 335 | #803 | C23 | 1 | 2 | yes | — |
| 336 | C4×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 337 | C22×Q16 | — | 3 | 1 | no | — |
| 338 | Q82 | — | 3 | 2 | no | — |
| 339 | Q82 | — | 3 | 2 | no | — |
| 340 | Q82 | — | 6 | 1 | no | — |
| 341 | Q82 | — | 6 | 1 | no | — |
| 342 | #557 | — | 3 | 2 | no | — |
| 343 | #557 | — | 3 | 2 | no | — |
| 344 | #557 | — | 3 | 2 | no | — |
| 345 | #557 | — | 3 | 2 | no | — |
| 346 | #557 | — | 3 | 2 | no | — |
| 347 | #557 | — | 3 | 2 | no | — |
| 348 | #557 | — | 6 | 1 | no | — |
| 349 | #557 | — | 6 | 1 | no | — |
| 350 | #557 | — | 6 | 1 | no | — |
| 351 | #557 | — | 6 | 1 | no | — |
| 352 | #557 | — | 6 | 1 | no | — |
| 353 | #557 | — | 6 | 1 | no | — |
| 354 | #544 | — | 3 | 1 | no | — |
| 355 | #544 | — | 3 | 1 | no | — |
| 356 | #544 | — | 3 | 1 | no | — |
| 357 | #544 | — | 6 | 2 | no | — |
| 358 | #544 | — | 6 | 2 | no | — |
| 359 | #544 | C2×D3 | 1 | 1 | yes | characteristic |
| 360 | #533 | — | 3 | 1 | no | — |
| 361 | #533 | — | 3 | 1 | no | — |
| 362 | #533 | — | 3 | 1 | no | — |
| 363 | #533 | — | 6 | 2 | no | — |
| 364 | #533 | — | 6 | 2 | no | — |
| 365 | #519 | — | 3 | 1 | no | — |
| 366 | #519 | — | 3 | 1 | no | — |
| 367 | #519 | — | 3 | 1 | no | — |
| 368 | #519 | C2×D3 | 1 | 1 | yes | characteristic |
| 369 | C2×C4×Q8 | — | 3 | 1 | no | — |
| 370 | C2×C4×Q8 | — | 3 | 1 | no | — |
| 371 | #501 | — | 3 | 2 | no | — |
| 372 | #501 | — | 3 | 2 | no | — |
| 373 | #501 | — | 3 | 2 | no | — |
| 374 | #501 | — | 3 | 2 | no | — |
| 375 | #500 | — | 3 | 2 | no | — |
| 376 | #500 | — | 3 | 1 | no | — |
| 377 | #500 | — | 3 | 2 | no | — |
| 378 | #500 | — | 3 | 1 | no | — |
| 379 | #499 | — | 3 | 2 | no | — |
| 380 | #499 | — | 3 | 1 | no | — |
| 381 | #499 | — | 3 | 1 | no | — |
| 382 | #499 | — | 3 | 1 | no | — |
| 383 | #499 | — | 3 | 1 | no | — |
| 384 | #499 | — | 3 | 2 | no | — |
| 385 | #498 | — | 3 | 1 | no | — |
| 386 | #498 | — | 3 | 1 | no | — |
| 387 | #479 | — | 3 | 2 | no | — |
| 388 | #479 | — | 3 | 2 | no | — |
| 389 | #479 | — | 3 | 2 | no | — |
| 390 | #479 | — | 3 | 2 | no | — |
| 391 | #479 | — | 3 | 2 | no | — |
| 392 | #479 | — | 3 | 2 | no | — |
| 393 | #479 | — | 3 | 2 | no | — |
| 394 | #479 | — | 3 | 2 | no | — |
| 395 | #479 | — | 3 | 2 | no | — |
| 396 | #479 | — | 3 | 2 | no | — |
| 397 | #479 | C2×D3 | 1 | 2 | yes | — |
| 398 | #479 | C2×D3 | 1 | 2 | yes | — |
| 399 | #477 | — | 3 | 2 | no | — |
| 400 | #477 | — | 3 | 2 | no | — |
| 401 | #477 | — | 3 | 2 | no | — |
| 402 | #477 | — | 3 | 2 | no | — |
| 403 | #477 | — | 3 | 2 | no | — |
| 404 | #477 | C2×D3 | 1 | 2 | yes | — |
| 405 | #475 | — | 3 | 2 | no | — |
| 406 | #475 | — | 3 | 2 | no | — |
| 407 | #475 | — | 3 | 2 | no | — |
| 408 | #475 | — | 3 | 2 | no | — |
| 409 | #475 | — | 3 | 2 | no | — |
| 410 | #475 | C2×D3 | 1 | 2 | yes | — |
| 411 | #446 | — | 3 | 2 | no | — |
| 412 | #446 | — | 3 | 2 | no | — |
| 413 | C8×Q8 | — | 3 | 2 | no | — |
| 414 | C8×Q8 | — | 3 | 2 | no | — |
| 415 | #441 | — | 3 | 2 | no | — |
| 416 | #441 | — | 3 | 2 | no | — |
| 417 | #441 | — | 3 | 2 | no | — |
| 418 | #441 | — | 3 | 2 | no | — |
| 419 | C4×Q16 | — | 3 | 2 | no | — |
| 420 | C4×Q16 | — | 3 | 2 | no | — |
| 421 | C4×Q16 | — | 3 | 2 | no | — |
| 422 | C4×Q16 | — | 3 | 2 | no | — |
| 423 | C4×Q16 | — | 3 | 2 | no | — |
| 424 | C4×Q16 | — | 3 | 2 | no | — |
| 425 | C4×Q16 | — | 3 | 2 | no | — |
| 426 | C4×Q16 | — | 3 | 2 | no | — |
| 427 | #428 | — | 3 | 1 | no | — |
| 428 | #428 | — | 3 | 1 | no | — |
| 429 | #428 | — | 3 | 1 | no | — |
| 430 | #428 | C2×D3 | 1 | 1 | yes | characteristic |
| 431 | #427 | — | 3 | 1 | no | — |
| 432 | #427 | — | 3 | 1 | no | — |
| 433 | #427 | — | 3 | 1 | no | — |
| 434 | #427 | C2×D3 | 1 | 1 | yes | characteristic |
| 435 | C2×#107 | — | 3 | 1 | no | — |
| 436 | #424 | — | 3 | 1 | no | — |
| 437 | #424 | C2×D3 | 1 | 1 | yes | characteristic |
| 438 | #423 | — | 3 | 1 | no | — |
| 439 | #419 | — | 3 | 1 | no | — |
| 440 | #419 | — | 3 | 1 | no | — |
| 441 | #419 | — | 3 | 1 | no | — |
| 442 | #419 | C2×D3 | 1 | 1 | yes | characteristic |
| 443 | C2×#103 | — | 3 | 1 | no | — |
| 444 | C2×#103 | C2×D3 | 1 | 1 | yes | characteristic |
| 445 | #405 | — | 3 | 1 | no | — |
| 446 | #405 | — | 3 | 1 | no | — |
| 447 | C2×C4×C8 | — | 3 | 1 | no | — |
| 448 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 449 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 450 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 451 | C2×C3×Q8 | C2×Q8 | 1 | 4 | yes | — |
| 452 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 453 | C22×C3×C4 | — | 2 | 1 | no | — |
| 454 | C22×C3×C4 | — | 2 | 1 | no | — |
| 455 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 456 | C22×Dic3 | — | 2 | 1 | no | — |
| 457 | C22×Dic3 | — | 2 | 1 | no | — |
| 458 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 459 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 460 | C2×Dic6 | — | 2 | 1 | no | — |
| 461 | C2×Dic6 | — | 2 | 2 | no | — |
| 462 | C2×Dic6 | — | 2 | 1 | no | — |
| 463 | C2×Dic6 | — | 2 | 1 | no | — |
| 464 | C2×Dic6 | — | 2 | 2 | no | — |
| 465 | C2×Dic6 | — | 2 | 1 | no | — |
| 466 | C2×Dic6 | — | 2 | 2 | no | — |
| 467 | C2×Dic6 | — | 2 | 1 | no | — |
| 468 | C2×Dic6 | — | 2 | 2 | no | — |
| 469 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 470 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 471 | C2×Dic6 | C2×Q8 | 1 | 4 | yes | — |
| 472 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 473 | C3×M16 | — | 2 | 2 | no | — |
| 474 | C2×C3×C8 | — | 2 | 2 | no | — |
| 475 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 476 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 477 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 478 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 479 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 480 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 481 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 482 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 483 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 484 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 485 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 486 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 487 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 488 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 489 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 490 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 491 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 492 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 493 | C3×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 494 | C3×C42 | — | 2 | 1 | no | — |
| 495 | C3×C42 | — | 2 | 2 | no | — |
| 496 | C3×C42 | — | 2 | 2 | no | — |
| 497 | C3×C42 | — | 2 | 1 | no | — |
| 498 | C3×C42 | C24 | 1 | 2 | yes | — |
| 499 | #217 | — | 2 | 1 | no | — |
| 500 | #217 | — | 2 | 1 | no | — |
| 501 | #217 | C2×D4 | 1 | 2 | yes | — |
| 502 | #216 | C2×Q8 | 1 | 8 | yes | — |
| 503 | #216 | C2×Q8 | 1 | 8 | yes | — |
| 504 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 505 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 506 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 507 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 508 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 509 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 510 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 511 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 512 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 513 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 514 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 515 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 516 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 517 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 518 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 519 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 520 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 521 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 522 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 523 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 524 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 525 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 526 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 527 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 528 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 529 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 530 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 531 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 532 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 533 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 534 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 535 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 536 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 537 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 538 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 539 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 540 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 541 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 542 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 543 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 544 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 545 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 546 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 547 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 548 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 549 | C4×Dic3 | — | 2 | 1 | no | — |
| 550 | C4×Dic3 | — | 2 | 1 | no | — |
| 551 | C4×Dic3 | — | 2 | 2 | no | — |
| 552 | C4×Dic3 | — | 2 | 2 | no | — |
| 553 | C4×Dic3 | — | 2 | 2 | no | — |
| 554 | C4×Dic3 | — | 2 | 2 | no | — |
| 555 | C4×Dic3 | — | 2 | 2 | no | — |
| 556 | C4×Dic3 | — | 2 | 2 | no | — |
| 557 | C4×Dic3 | — | 2 | 2 | no | — |
| 558 | C4×Dic3 | — | 2 | 2 | no | — |
| 559 | C4×Dic3 | — | 2 | 2 | no | — |
| 560 | C4×Dic3 | — | 2 | 2 | no | — |
| 561 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 562 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 563 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 564 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 565 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 566 | #208 | — | 2 | 2 | no | — |
| 567 | C2×C3⋊C8 | C2×Q8 | 1 | 4 | yes | — |
| 568 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 569 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 570 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 571 | C22×Q8 | — | 3 | 1 | no | — |
| 572 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 573 | C2×Q16 | — | 3 | 8 | no | — |
| 574 | C2×Q16 | — | 3 | 2 | no | — |
| 575 | C2×Q16 | — | 3 | 2 | no | — |
| 576 | C2×M16 | — | 3 | 1 | no | — |
| 577 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 578 | C22×C8 | — | 3 | 1 | no | — |
| 579 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 580 | C4⋊Q8 | — | 2 | 1 | no | — |
| 581 | C4⋊Q8 | — | 3 | 1 | no | — |
| 582 | C4⋊Q8 | — | 3 | 1 | no | — |
| 583 | C4⋊Q8 | — | 3 | 1 | no | — |
| 584 | C4⋊Q8 | — | 3 | 1 | no | — |
| 585 | C4⋊Q8 | — | 3 | 1 | no | — |
| 586 | C4⋊Q8 | — | 3 | 1 | no | — |
| 587 | C4⋊Q8 | — | 3 | 2 | no | — |
| 588 | C4⋊Q8 | — | 3 | 2 | no | — |
| 589 | C4⋊Q8 | — | 3 | 2 | no | — |
| 590 | C4⋊Q8 | — | 6 | 1 | no | — |
| 591 | C4⋊Q8 | — | 6 | 2 | no | — |
| 592 | C4⋊Q8 | — | 6 | 2 | no | — |
| 593 | C4⋊Q8 | — | 6 | 2 | no | — |
| 594 | C4⋊Q8 | — | 6 | 1 | no | — |
| 595 | C4⋊Q8 | — | 6 | 2 | no | — |
| 596 | C4⋊Q8 | — | 6 | 2 | no | — |
| 597 | C4⋊Q8 | — | 6 | 2 | no | — |
| 598 | C4⋊Q8 | — | 6 | 2 | no | — |
| 599 | C4⋊Q8 | — | 6 | 2 | no | — |
| 600 | C4⋊Q8 | — | 6 | 2 | no | — |
| 601 | C4⋊Q8 | — | 6 | 2 | no | — |
| 602 | C4⋊Q8 | — | 6 | 2 | no | — |
| 603 | C4⋊Q8 | — | 6 | 2 | no | — |
| 604 | C4⋊Q8 | — | 6 | 1 | no | — |
| 605 | C4⋊Q8 | C22×D3 | 1 | 2 | yes | — |
| 606 | #125 | — | 2 | 1 | no | — |
| 607 | #125 | — | 3 | 1 | no | — |
| 608 | #125 | — | 3 | 1 | no | — |
| 609 | #125 | — | 3 | 1 | no | — |
| 610 | #125 | — | 3 | 1 | no | — |
| 611 | #125 | — | 3 | 1 | no | — |
| 612 | #125 | — | 3 | 1 | no | — |
| 613 | #125 | — | 3 | 2 | no | — |
| 614 | #125 | — | 3 | 2 | no | — |
| 615 | #125 | — | 3 | 2 | no | — |
| 616 | #125 | — | 6 | 1 | no | — |
| 617 | #125 | — | 6 | 2 | no | — |
| 618 | #125 | — | 6 | 2 | no | — |
| 619 | #125 | — | 6 | 2 | no | — |
| 620 | #125 | — | 6 | 2 | no | — |
| 621 | #125 | — | 6 | 2 | no | — |
| 622 | #125 | — | 6 | 2 | no | — |
| 623 | #125 | — | 6 | 1 | no | — |
| 624 | #125 | — | 6 | 2 | no | — |
| 625 | #125 | — | 6 | 2 | no | — |
| 626 | #125 | — | 6 | 2 | no | — |
| 627 | #125 | — | 6 | 2 | no | — |
| 628 | #125 | — | 6 | 2 | no | — |
| 629 | #125 | — | 6 | 2 | no | — |
| 630 | #125 | — | 6 | 1 | no | — |
| 631 | #125 | C22×D3 | 1 | 2 | yes | — |
| 632 | C22⋊Q8 | — | 2 | 2 | no | — |
| 633 | C22⋊Q8 | — | 3 | 2 | no | — |
| 634 | C22⋊Q8 | — | 3 | 2 | no | — |
| 635 | C22⋊Q8 | — | 6 | 2 | no | — |
| 636 | C22⋊Q8 | — | 6 | 1 | no | — |
| 637 | C22⋊Q8 | — | 6 | 1 | no | — |
| 638 | C22⋊Q8 | — | 6 | 1 | no | — |
| 639 | C22⋊Q8 | — | 6 | 1 | no | — |
| 640 | C22⋊Q8 | — | 6 | 2 | no | — |
| 641 | C22⋊Q8 | — | 6 | 2 | no | — |
| 642 | C4×Q8 | — | 2 | 1 | no | — |
| 643 | C4×Q8 | — | 2 | 1 | no | — |
| 644 | C4×Q8 | — | 3 | 2 | no | — |
| 645 | C4×Q8 | — | 3 | 2 | no | — |
| 646 | C4×Q8 | — | 3 | 2 | no | — |
| 647 | C4×Q8 | — | 3 | 2 | no | — |
| 648 | C4×Q8 | — | 3 | 2 | no | — |
| 649 | C4×Q8 | — | 3 | 2 | no | — |
| 650 | C4×Q8 | — | 3 | 2 | no | — |
| 651 | C4×Q8 | — | 3 | 2 | no | — |
| 652 | C4×Q8 | — | 3 | 2 | no | — |
| 653 | C4×Q8 | — | 3 | 2 | no | — |
| 654 | C4×Q8 | — | 3 | 2 | no | — |
| 655 | C4×Q8 | — | 3 | 2 | no | — |
| 656 | C4×Q8 | — | 6 | 1 | no | — |
| 657 | C4×Q8 | — | 6 | 1 | no | — |
| 658 | C4×Q8 | — | 6 | 1 | no | — |
| 659 | C4×Q8 | — | 6 | 1 | no | — |
| 660 | C4×Q8 | — | 6 | 1 | no | — |
| 661 | C4×Q8 | — | 6 | 1 | no | — |
| 662 | C4×Q8 | — | 6 | 2 | no | — |
| 663 | C4×Q8 | — | 6 | 2 | no | — |
| 664 | C4×Q8 | — | 6 | 2 | no | — |
| 665 | C4×Q8 | — | 6 | 2 | no | — |
| 666 | C4×Q8 | — | 6 | 1 | no | — |
| 667 | C4×Q8 | — | 6 | 1 | no | — |
| 668 | C4×Q8 | — | 6 | 1 | no | — |
| 669 | C4×Q8 | — | 6 | 1 | no | — |
| 670 | C4×Q8 | — | 6 | 2 | no | — |
| 671 | C4×Q8 | — | 6 | 2 | no | — |
| 672 | C4×Q8 | — | 6 | 2 | no | — |
| 673 | C4×Q8 | — | 6 | 1 | no | — |
| 674 | C4×Q8 | — | 6 | 1 | no | — |
| 675 | C4×Q8 | — | 6 | 2 | no | — |
| 676 | C4×Q8 | — | 6 | 1 | no | — |
| 677 | C4×Q8 | — | 6 | 1 | no | — |
| 678 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 679 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 680 | #117 | — | 2 | 2 | no | — |
| 681 | #117 | — | 3 | 1 | no | — |
| 682 | #117 | — | 3 | 1 | no | — |
| 683 | #117 | — | 3 | 1 | no | — |
| 684 | #117 | — | 6 | 2 | no | — |
| 685 | #117 | — | 6 | 2 | no | — |
| 686 | #117 | — | 6 | 2 | no | — |
| 687 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 688 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 689 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 690 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 691 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 692 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 693 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 694 | C2×C42 | — | 3 | 1 | no | — |
| 695 | C2×C42 | — | 6 | 1 | no | — |
| 696 | C2×C42 | — | 6 | 1 | no | — |
| 697 | #107 | — | 3 | 1 | no | — |
| 698 | #107 | — | 3 | 1 | no | — |
| 699 | #107 | — | 3 | 2 | no | — |
| 700 | #107 | — | 3 | 2 | no | — |
| 701 | #107 | — | 3 | 2 | no | — |
| 702 | #107 | — | 3 | 1 | no | — |
| 703 | #107 | — | 3 | 1 | no | — |
| 704 | #107 | — | 3 | 1 | no | — |
| 705 | #107 | — | 3 | 1 | no | — |
| 706 | #107 | — | 3 | 2 | no | — |
| 707 | #107 | — | 3 | 2 | no | — |
| 708 | #107 | C22×D3 | 1 | 1 | yes | characteristic |
| 709 | #107 | C22×D3 | 1 | 1 | yes | characteristic |
| 710 | #107 | C22×D3 | 1 | 2 | yes | — |
| 711 | #106 | — | 3 | 1 | no | — |
| 712 | #106 | — | 3 | 1 | no | — |
| 713 | #106 | — | 3 | 2 | no | — |
| 714 | #106 | — | 3 | 1 | no | — |
| 715 | #106 | — | 3 | 1 | no | — |
| 716 | #106 | — | 3 | 1 | no | — |
| 717 | #106 | — | 3 | 1 | no | — |
| 718 | #106 | — | 3 | 2 | no | — |
| 719 | #106 | — | 3 | 2 | no | — |
| 720 | #106 | C22×D3 | 1 | 1 | yes | characteristic |
| 721 | #106 | C22×D3 | 1 | 1 | yes | characteristic |
| 722 | #106 | C22×D3 | 1 | 2 | yes | — |
| 723 | C4⋊C8 | — | 3 | 2 | no | — |
| 724 | C4⋊C8 | — | 3 | 2 | no | — |
| 725 | C4⋊C8 | — | 3 | 2 | no | — |
| 726 | C4⋊C8 | — | 3 | 2 | no | — |
| 727 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 728 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 729 | #103 | — | 3 | 2 | no | — |
| 730 | #103 | — | 3 | 2 | no | — |
| 731 | #103 | — | 3 | 2 | no | — |
| 732 | #103 | — | 3 | 2 | no | — |
| 733 | #103 | — | 3 | 2 | no | — |
| 734 | #103 | — | 3 | 2 | no | — |
| 735 | #103 | — | 3 | 2 | no | — |
| 736 | #103 | — | 3 | 2 | no | — |
| 737 | #103 | C22×D3 | 1 | 2 | yes | — |
| 738 | #103 | C22×D3 | 1 | 2 | yes | — |
| 739 | #103 | C22×D3 | 1 | 2 | yes | — |
| 740 | #103 | C22×D3 | 1 | 2 | yes | — |
| 741 | #97 | — | 3 | 2 | no | — |
| 742 | #97 | — | 3 | 2 | no | — |
| 743 | C4×C8 | — | 3 | 1 | no | — |
| 744 | C4×C8 | — | 3 | 1 | no | — |
| 745 | C4×C8 | — | 3 | 1 | no | — |
| 746 | C4×C8 | — | 3 | 1 | no | — |
| 747 | C4×C8 | — | 3 | 2 | no | — |
| 748 | C4×C8 | — | 3 | 2 | no | — |
| 749 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 750 | C3×Q8 | — | 2 | 4 | no | — |
| 751 | C3×Q8 | — | 2 | 2 | no | — |
| 752 | C3×Q8 | — | 8 | 2 | no | — |
| 753 | C3×Q8 | C22×Q8 | 1 | 4 | yes | — |
| 754 | C2×C3×C4 | — | 2 | 4 | no | — |
| 755 | C2×C3×C4 | — | 2 | 2 | no | — |
| 756 | C2×C3×C4 | — | 2 | 1 | no | — |
| 757 | C2×C3×C4 | — | 2 | 1 | no | — |
| 758 | C2×C3×C4 | — | 2 | 2 | no | — |
| 759 | C2×C3×C4 | — | 2 | 1 | no | — |
| 760 | C2×C3×C4 | — | 2 | 1 | no | — |
| 761 | C2×C3×C4 | — | 8 | 1 | no | — |
| 762 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 763 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 764 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 765 | C2×C3×C4 | C22×Q8 | 1 | 2 | yes | — |
| 766 | C2×C3×C4 | 2−1+4 | 1 | 2 | yes | — |
| 767 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 768 | C2×Dic3 | — | 2 | 4 | no | — |
| 769 | C2×Dic3 | — | 2 | 2 | no | — |
| 770 | C2×Dic3 | — | 2 | 2 | no | — |
| 771 | C2×Dic3 | — | 2 | 1 | no | — |
| 772 | C2×Dic3 | — | 2 | 1 | no | — |
| 773 | C2×Dic3 | — | 2 | 1 | no | — |
| 774 | C2×Dic3 | — | 2 | 1 | no | — |
| 775 | C2×Dic3 | — | 2 | 2 | no | — |
| 776 | C2×Dic3 | — | 4 | 1 | no | — |
| 777 | C2×Dic3 | — | 8 | 1 | no | — |
| 778 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 779 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 780 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 781 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 782 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 783 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 784 | Dic6 | — | 2 | 4 | no | — |
| 785 | Dic6 | — | 2 | 2 | no | — |
| 786 | Dic6 | — | 2 | 4 | no | — |
| 787 | Dic6 | — | 4 | 2 | no | — |
| 788 | Dic6 | — | 4 | 2 | no | — |
| 789 | Dic6 | — | 4 | 2 | no | — |
| 790 | Dic6 | — | 8 | 2 | no | — |
| 791 | Dic6 | — | 8 | 2 | no | — |
| 792 | Dic6 | — | 8 | 1 | no | — |
| 793 | Dic6 | — | 8 | 1 | no | — |
| 794 | Dic6 | — | 8 | 2 | no | — |
| 795 | Dic6 | C22×Q8 | 1 | 4 | yes | — |
| 796 | C3×C8 | — | 2 | 1 | no | — |
| 797 | C3×C8 | — | 2 | 1 | no | — |
| 798 | C3×C8 | — | 2 | 2 | no | — |
| 799 | C3⋊C8 | — | 2 | 2 | no | — |
| 800 | C3⋊C8 | C22×Q8 | 1 | 2 | yes | — |
| 801 | C3⋊C8 | C22×Q8 | 1 | 2 | yes | — |
| 802 | C2×Q8 | — | 2 | 1 | no | — |
| 803 | C2×Q8 | — | 2 | 2 | no | — |
| 804 | C2×Q8 | — | 2 | 2 | no | — |
| 805 | C2×Q8 | — | 3 | 2 | no | — |
| 806 | C2×Q8 | — | 3 | 2 | no | — |
| 807 | C2×Q8 | — | 3 | 4 | no | — |
| 808 | C2×Q8 | — | 3 | 2 | no | — |
| 809 | C2×Q8 | — | 6 | 1 | no | — |
| 810 | C2×Q8 | — | 6 | 1 | no | — |
| 811 | C2×Q8 | — | 6 | 1 | no | — |
| 812 | C2×Q8 | — | 6 | 2 | no | — |
| 813 | C2×Q8 | — | 6 | 1 | no | — |
| 814 | C2×Q8 | — | 6 | 2 | no | — |
| 815 | C2×Q8 | — | 6 | 1 | no | — |
| 816 | C2×Q8 | — | 6 | 2 | no | — |
| 817 | C2×Q8 | — | 6 | 2 | no | — |
| 818 | C2×Q8 | D3×Q8 | 1 | 4 | yes | — |
| 819 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 820 | C22×C4 | — | 2 | 1 | no | — |
| 821 | C22×C4 | — | 2 | 1 | no | — |
| 822 | C22×C4 | — | 3 | 1 | no | — |
| 823 | C22×C4 | — | 3 | 1 | no | — |
| 824 | C22×C4 | — | 6 | 1 | no | — |
| 825 | C22×C4 | — | 6 | 1 | no | — |
| 826 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 827 | Q16 | — | 3 | 8 | no | — |
| 828 | Q16 | — | 3 | 8 | no | — |
| 829 | M16 | — | 2 | 2 | no | — |
| 830 | M16 | — | 6 | 2 | no | — |
| 831 | C2×C8 | — | 2 | 2 | no | — |
| 832 | C2×C8 | — | 3 | 4 | no | — |
| 833 | C2×C8 | — | 3 | 1 | no | — |
| 834 | C2×C8 | — | 3 | 1 | no | — |
| 835 | C2×C8 | — | 3 | 2 | no | — |
| 836 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 837 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 838 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 839 | C4⋊C4 | — | 2 | 1 | no | — |
| 840 | C4⋊C4 | — | 2 | 2 | no | — |
| 841 | C4⋊C4 | — | 2 | 2 | no | — |
| 842 | C4⋊C4 | — | 2 | 2 | no | — |
| 843 | C4⋊C4 | — | 2 | 2 | no | — |
| 844 | C4⋊C4 | — | 2 | 2 | no | — |
| 845 | C4⋊C4 | — | 3 | 1 | no | — |
| 846 | C4⋊C4 | — | 3 | 1 | no | — |
| 847 | C4⋊C4 | — | 3 | 2 | no | — |
| 848 | C4⋊C4 | — | 3 | 2 | no | — |
| 849 | C4⋊C4 | — | 3 | 2 | no | — |
| 850 | C4⋊C4 | — | 3 | 2 | no | — |
| 851 | C4⋊C4 | — | 3 | 2 | no | — |
| 852 | C4⋊C4 | — | 3 | 2 | no | — |
| 853 | C4⋊C4 | — | 3 | 1 | no | — |
| 854 | C4⋊C4 | — | 3 | 1 | no | — |
| 855 | C4⋊C4 | — | 3 | 2 | no | — |
| 856 | C4⋊C4 | — | 3 | 1 | no | — |
| 857 | C4⋊C4 | — | 3 | 1 | no | — |
| 858 | C4⋊C4 | — | 6 | 2 | no | — |
| 859 | C4⋊C4 | — | 6 | 2 | no | — |
| 860 | C4⋊C4 | — | 6 | 2 | no | — |
| 861 | C4⋊C4 | — | 6 | 2 | no | — |
| 862 | C4⋊C4 | — | 6 | 2 | no | — |
| 863 | C4⋊C4 | — | 6 | 2 | no | — |
| 864 | C4⋊C4 | — | 6 | 2 | no | — |
| 865 | C4⋊C4 | — | 6 | 2 | no | — |
| 866 | C4⋊C4 | — | 6 | 1 | no | — |
| 867 | C4⋊C4 | — | 6 | 1 | no | — |
| 868 | C4⋊C4 | — | 6 | 1 | no | — |
| 869 | C4⋊C4 | — | 6 | 1 | no | — |
| 870 | C4⋊C4 | — | 6 | 1 | no | — |
| 871 | C4⋊C4 | — | 6 | 1 | no | — |
| 872 | C4⋊C4 | — | 6 | 2 | no | — |
| 873 | C4⋊C4 | — | 6 | 2 | no | — |
| 874 | C4⋊C4 | — | 6 | 1 | no | — |
| 875 | C4⋊C4 | — | 6 | 1 | no | — |
| 876 | C4⋊C4 | — | 6 | 2 | no | — |
| 877 | C4⋊C4 | — | 6 | 1 | no | — |
| 878 | C4⋊C4 | — | 6 | 2 | no | — |
| 879 | C4⋊C4 | — | 6 | 1 | no | — |
| 880 | C4⋊C4 | — | 6 | 1 | no | — |
| 881 | C4⋊C4 | — | 6 | 1 | no | — |
| 882 | C4⋊C4 | — | 6 | 2 | no | — |
| 883 | C4⋊C4 | — | 6 | 2 | no | — |
| 884 | C4⋊C4 | — | 6 | 1 | no | — |
| 885 | C4⋊C4 | — | 6 | 2 | no | — |
| 886 | C4⋊C4 | — | 6 | 2 | no | — |
| 887 | C4⋊C4 | — | 6 | 2 | no | — |
| 888 | C4⋊C4 | — | 6 | 2 | no | — |
| 889 | C4⋊C4 | — | 6 | 2 | no | — |
| 890 | C4⋊C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 891 | C4⋊C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 892 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 893 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 894 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 895 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 896 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 897 | C22⋊C4 | — | 2 | 1 | no | — |
| 898 | C22⋊C4 | — | 2 | 1 | no | — |
| 899 | C22⋊C4 | — | 3 | 2 | no | — |
| 900 | C22⋊C4 | — | 6 | 1 | no | — |
| 901 | C22⋊C4 | — | 6 | 1 | no | — |
| 902 | C22⋊C4 | D3×D4 | 1 | 2 | yes | — |
| 903 | C42 | — | 2 | 2 | no | — |
| 904 | C42 | — | 2 | 2 | no | — |
| 905 | C42 | — | 2 | 1 | no | — |
| 906 | C42 | — | 2 | 1 | no | — |
| 907 | C42 | — | 3 | 1 | no | — |
| 908 | C42 | — | 3 | 1 | no | — |
| 909 | C42 | — | 3 | 1 | no | — |
| 910 | C42 | — | 3 | 1 | no | — |
| 911 | C42 | — | 3 | 2 | no | — |
| 912 | C42 | — | 6 | 2 | no | — |
| 913 | C42 | — | 6 | 2 | no | — |
| 914 | C42 | — | 6 | 2 | no | — |
| 915 | C42 | — | 6 | 2 | no | — |
| 916 | C42 | — | 6 | 2 | no | — |
| 917 | C42 | — | 6 | 2 | no | — |
| 918 | C42 | — | 6 | 2 | no | — |
| 919 | C42 | — | 6 | 2 | no | — |
| 920 | C42 | — | 6 | 1 | no | — |
| 921 | C42 | — | 6 | 1 | no | — |
| 922 | C42 | — | 6 | 2 | no | — |
| 923 | C42 | — | 6 | 2 | no | — |
| 924 | C42 | C23×D3 | 1 | 2 | yes | — |
| 925 | C22×C3 | — | 2 | 1 | no | — |
| 926 | C22×C3 | — | 2 | 1 | no | — |
| 927 | C22×C3 | D4×Q8 | 1 | 2 | yes | — |
| 928 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 929 | C3×C4 | — | 2 | 2 | no | — |
| 930 | C3×C4 | — | 2 | 4 | no | — |
| 931 | C3×C4 | — | 2 | 2 | no | — |
| 932 | C3×C4 | — | 4 | 1 | no | — |
| 933 | C3×C4 | — | 4 | 2 | no | — |
| 934 | C3×C4 | — | 4 | 1 | no | — |
| 935 | C3×C4 | — | 4 | 1 | no | — |
| 936 | C3×C4 | — | 4 | 1 | no | — |
| 937 | C3×C4 | D4×Q8 | 1 | 2 | yes | — |
| 938 | C3×C4 | C23×Q8 | 1 | 1 | yes | characteristic |
| 939 | C3×C4 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 940 | Dic3 | — | 2 | 1 | no | — |
| 941 | Dic3 | — | 2 | 2 | no | — |
| 942 | Dic3 | — | 2 | 1 | no | — |
| 943 | Dic3 | — | 2 | 4 | no | — |
| 944 | Dic3 | — | 2 | 2 | no | — |
| 945 | Dic3 | — | 2 | 1 | no | — |
| 946 | Dic3 | — | 4 | 1 | no | — |
| 947 | Dic3 | — | 4 | 1 | no | — |
| 948 | Dic3 | — | 4 | 2 | no | — |
| 949 | Dic3 | — | 4 | 1 | no | — |
| 950 | Dic3 | — | 4 | 1 | no | — |
| 951 | Dic3 | #578 | 1 | 2 | yes | — |
| 952 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 953 | Q8 | — | 2 | 4 | no | — |
| 954 | Q8 | — | 2 | 2 | no | — |
| 955 | Q8 | — | 3 | 4 | no | — |
| 956 | Q8 | — | 6 | 4 | no | — |
| 957 | Q8 | — | 6 | 4 | no | — |
| 958 | Q8 | — | 6 | 2 | no | — |
| 959 | Q8 | — | 8 | 2 | no | — |
| 960 | Q8 | — | 12 | 2 | no | — |
| 961 | Q8 | — | 12 | 2 | no | — |
| 962 | Q8 | — | 12 | 2 | no | — |
| 963 | Q8 | — | 24 | 2 | no | — |
| 964 | Q8 | — | 24 | 2 | no | — |
| 965 | Q8 | — | 24 | 1 | no | — |
| 966 | Q8 | — | 24 | 1 | no | — |
| 967 | Q8 | — | 24 | 2 | no | — |
| 968 | Q8 | C2×D3×Q8 | 1 | 4 | yes | — |
| 969 | C2×C4 | — | 2 | 4 | no | — |
| 970 | C2×C4 | — | 2 | 2 | no | — |
| 971 | C2×C4 | — | 2 | 1 | no | — |
| 972 | C2×C4 | — | 2 | 1 | no | — |
| 973 | C2×C4 | — | 2 | 1 | no | — |
| 974 | C2×C4 | — | 2 | 1 | no | — |
| 975 | C2×C4 | — | 2 | 2 | no | — |
| 976 | C2×C4 | — | 3 | 1 | no | — |
| 977 | C2×C4 | — | 3 | 1 | no | — |
| 978 | C2×C4 | — | 3 | 1 | no | — |
| 979 | C2×C4 | — | 3 | 1 | no | — |
| 980 | C2×C4 | — | 3 | 2 | no | — |
| 981 | C2×C4 | — | 3 | 2 | no | — |
| 982 | C2×C4 | — | 6 | 2 | no | — |
| 983 | C2×C4 | — | 6 | 4 | no | — |
| 984 | C2×C4 | — | 6 | 2 | no | — |
| 985 | C2×C4 | — | 6 | 1 | no | — |
| 986 | C2×C4 | — | 6 | 1 | no | — |
| 987 | C2×C4 | — | 6 | 1 | no | — |
| 988 | C2×C4 | — | 6 | 1 | no | — |
| 989 | C2×C4 | — | 6 | 2 | no | — |
| 990 | C2×C4 | — | 8 | 1 | no | — |
| 991 | C2×C4 | — | 12 | 1 | no | — |
| 992 | C2×C4 | — | 24 | 1 | no | — |
| 993 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 994 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 995 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 996 | C2×C4 | C2×D3×Q8 | 1 | 2 | yes | — |
| 997 | C2×C4 | #1010 | 1 | 2 | yes | — |
| 998 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 999 | C8 | — | 2 | 1 | no | — |
| 1000 | C8 | — | 2 | 1 | no | — |
| 1001 | C8 | — | 2 | 2 | no | — |
| 1002 | C8 | — | 3 | 2 | no | — |
| 1003 | C8 | — | 3 | 2 | no | — |
| 1004 | C8 | — | 6 | 2 | no | — |
| 1005 | C2×C3 | — | 2 | 2 | no | — |
| 1006 | C2×C3 | C2×D4×Q8 | 1 | 1 | yes | characteristic |
| 1007 | C2×C3 | C2×#578 | 1 | 1 | yes | characteristic |
| 1008 | C2×C3 | #3584 | 1 | 1 | yes | characteristic |
| 1009 | C22 | — | 2 | 1 | no | — |
| 1010 | C22 | — | 2 | 1 | no | — |
| 1011 | C22 | #5632 | 1 | 2 | yes | — |
| 1012 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1013 | C4 | — | 2 | 2 | no | — |
| 1014 | C4 | — | 2 | 2 | no | — |
| 1015 | C4 | — | 2 | 4 | no | — |
| 1016 | C4 | — | 3 | 2 | no | — |
| 1017 | C4 | — | 4 | 2 | no | — |
| 1018 | C4 | — | 4 | 1 | no | — |
| 1019 | C4 | — | 4 | 1 | no | — |
| 1020 | C4 | — | 4 | 1 | no | — |
| 1021 | C4 | — | 4 | 1 | no | — |
| 1022 | C4 | — | 6 | 1 | no | — |
| 1023 | C4 | — | 6 | 1 | no | — |
| 1024 | C4 | — | 6 | 2 | no | — |
| 1025 | C4 | — | 6 | 1 | no | — |
| 1026 | C4 | — | 6 | 2 | no | — |
| 1027 | C4 | — | 6 | 4 | no | — |
| 1028 | C4 | — | 12 | 2 | no | — |
| 1029 | C4 | — | 12 | 1 | no | — |
| 1030 | C4 | — | 12 | 1 | no | — |
| 1031 | C4 | — | 12 | 1 | no | — |
| 1032 | C4 | — | 12 | 1 | no | — |
| 1033 | C4 | #5632 | 1 | 2 | yes | — |
| 1034 | C4 | C22×D3×Q8 | 1 | 1 | yes | characteristic |
| 1035 | C4 | C2×#1010 | 1 | 1 | yes | characteristic |
| 1036 | C3 | #61372 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1037 | C2 | — | 2 | 2 | no | — |
| 1038 | C2 | C2×#5632 | 1 | 1 | yes | characteristic |
| 1039 | C2 | #87206 | 1 | 1 | yes | characteristic |
| 1040 | C2 | D3×#578 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta