Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1804 conjugacy classes of subgroups.
The subgroup lattice has 868 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86220 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#5721 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#3141 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83314 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #83212 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #81677 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #81673 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #81627 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #81625 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #81590 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #81589 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #78913 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #78879 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #78871 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #78867 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | C4×#909 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | M16×Dic6 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #61320 | — | 3 | 1 | no | maximal, Sylow |
| 19 | C3×#532 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C3×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 21 | #5832 | C22 | 1 | 2 | yes | — |
| 22 | Dic3×#41 | C22 | 1 | 2 | yes | — |
| 23 | C2×#951 | C22 | 1 | 2 | yes | — |
| 24 | C2×Q8×Dic3 | — | 2 | 1 | no | — |
| 25 | C2×#944 | — | 2 | 1 | no | — |
| 26 | C2×#909 | C22 | 1 | 1 | yes | characteristic |
| 27 | #5732 | C22 | 1 | 1 | yes | characteristic |
| 28 | #5721 | — | 2 | 1 | no | — |
| 29 | #5721 | — | 2 | 2 | no | — |
| 30 | #5721 | — | 2 | 1 | no | — |
| 31 | #5721 | C22 | 1 | 1 | yes | characteristic |
| 32 | #5721 | C22 | 1 | 4 | yes | — |
| 33 | #5721 | C22 | 1 | 2 | yes | — |
| 34 | #5721 | C22 | 1 | 2 | yes | — |
| 35 | #5718 | C22 | 1 | 1 | yes | characteristic |
| 36 | #5713 | C22 | 1 | 1 | yes | characteristic |
| 37 | #5681 | C22 | 1 | 2 | yes | — |
| 38 | #5671 | C22 | 1 | 2 | yes | — |
| 39 | #5618 | — | 2 | 1 | no | — |
| 40 | #5601 | — | 2 | 2 | no | — |
| 41 | #5598 | — | 2 | 1 | no | — |
| 42 | #5557 | — | 2 | 1 | no | — |
| 43 | #5538 | — | 2 | 2 | no | — |
| 44 | C4×#237 | — | 2 | 1 | no | — |
| 45 | C2×#890 | C22 | 1 | 2 | yes | — |
| 46 | C2×#889 | — | 2 | 2 | no | — |
| 47 | C2×#887 | C22 | 1 | 2 | yes | — |
| 48 | C4×#235 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×C4×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×C4×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#489 | C22 | 1 | 4 | yes | — |
| 52 | C3×#487 | C22 | 1 | 2 | yes | — |
| 53 | C3×#486 | C22 | 1 | 2 | yes | — |
| 54 | C3×#417 | C22 | 1 | 2 | yes | — |
| 55 | C3×#417 | C22 | 1 | 2 | yes | — |
| 56 | C3×C4×M16 | C22 | 1 | 1 | yes | characteristic |
| 57 | #5232 | C22 | 1 | 2 | yes | — |
| 58 | #5133 | C22 | 1 | 1 | yes | characteristic |
| 59 | #5121 | C22 | 1 | 1 | yes | characteristic |
| 60 | #5120 | C22 | 1 | 1 | yes | characteristic |
| 61 | #5118 | C22 | 1 | 2 | yes | — |
| 62 | Dic3×M16 | C22 | 1 | 2 | yes | — |
| 63 | #5094 | C22 | 1 | 2 | yes | — |
| 64 | #5091 | C22 | 1 | 2 | yes | — |
| 65 | #5090 | C22 | 1 | 2 | yes | — |
| 66 | #5087 | C22 | 1 | 2 | yes | — |
| 67 | #5084 | C22 | 1 | 2 | yes | — |
| 68 | #5075 | C22 | 1 | 2 | yes | — |
| 69 | #5054 | C22 | 1 | 4 | yes | — |
| 70 | #4966 | C22 | 1 | 2 | yes | — |
| 71 | #4964 | C22 | 1 | 2 | yes | — |
| 72 | #4924 | C22 | 1 | 1 | yes | characteristic |
| 73 | #4800 | C22 | 1 | 4 | yes | — |
| 74 | #4799 | C22 | 1 | 4 | yes | — |
| 75 | #4798 | C22 | 1 | 4 | yes | — |
| 76 | #4797 | C22 | 1 | 4 | yes | — |
| 77 | #4796 | C22 | 1 | 4 | yes | — |
| 78 | #4795 | C22 | 1 | 4 | yes | — |
| 79 | #4790 | C22 | 1 | 4 | yes | — |
| 80 | #4789 | C22 | 1 | 4 | yes | — |
| 81 | #4768 | C22 | 1 | 4 | yes | — |
| 82 | #4767 | C22 | 1 | 4 | yes | — |
| 83 | #4766 | C22 | 1 | 4 | yes | — |
| 84 | #4764 | C22 | 1 | 4 | yes | — |
| 85 | #4763 | C22 | 1 | 4 | yes | — |
| 86 | #4762 | C22 | 1 | 4 | yes | — |
| 87 | #4758 | C22 | 1 | 4 | yes | — |
| 88 | #4757 | C22 | 1 | 4 | yes | — |
| 89 | #4716 | C22 | 1 | 2 | yes | — |
| 90 | #4710 | C22 | 1 | 2 | yes | — |
| 91 | #4701 | C22 | 1 | 4 | yes | — |
| 92 | C4×Dic12 | C22 | 1 | 2 | yes | — |
| 93 | C4×#204 | C22 | 1 | 2 | yes | — |
| 94 | #4679 | C22 | 1 | 2 | yes | — |
| 95 | C8×Dic6 | C22 | 1 | 2 | yes | — |
| 96 | #3480 | — | 3 | 1 | no | — |
| 97 | C2×#557 | — | 3 | 1 | no | — |
| 98 | #3377 | — | 3 | 4 | no | — |
| 99 | #3374 | — | 3 | 2 | no | — |
| 100 | #3371 | — | 3 | 4 | no | — |
| 101 | #3368 | — | 3 | 2 | no | — |
| 102 | #3365 | — | 3 | 2 | no | — |
| 103 | #3364 | — | 3 | 2 | no | — |
| 104 | #3142 | — | 3 | 2 | no | — |
| 105 | #3141 | D3 | 1 | 1 | yes | characteristic, complemented |
| 106 | #3080 | — | 3 | 2 | no | — |
| 107 | #3079 | — | 3 | 1 | no | — |
| 108 | #3037 | — | 3 | 2 | no | — |
| 109 | #3037 | — | 3 | 1 | no | — |
| 110 | Q8×M16 | — | 3 | 1 | no | — |
| 111 | C4×#137 | — | 3 | 2 | no | — |
| 112 | C4×#137 | — | 3 | 1 | no | — |
| 113 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 114 | C22×C3×Q8 | — | 2 | 1 | no | — |
| 115 | C2×#237 | — | 2 | 1 | no | — |
| 116 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 117 | C22×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 118 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 120 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 121 | C3×C4⋊Q8 | — | 2 | 1 | no | — |
| 122 | C3×C4⋊Q8 | — | 2 | 1 | no | — |
| 123 | C3×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 124 | C3×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 125 | C3×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 126 | C3×#127 | C23 | 1 | 1 | yes | characteristic |
| 127 | C3×#124 | C23 | 1 | 2 | yes | — |
| 128 | C3×#121 | — | 2 | 1 | no | — |
| 129 | C3×#121 | — | 2 | 1 | no | — |
| 130 | C3×C4×D4 | — | 2 | 1 | no | — |
| 131 | C3×C4×D4 | — | 2 | 1 | no | — |
| 132 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 133 | C2×C3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 134 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 135 | #951 | — | 2 | 8 | no | — |
| 136 | #947 | C23 | 1 | 2 | yes | — |
| 137 | Q8×Dic3 | — | 2 | 4 | no | — |
| 138 | Q8×Dic3 | — | 2 | 2 | no | — |
| 139 | Q8×Dic3 | — | 2 | 2 | no | — |
| 140 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 141 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 142 | #944 | — | 2 | 2 | no | — |
| 143 | #944 | — | 2 | 2 | no | — |
| 144 | #944 | — | 2 | 4 | no | — |
| 145 | #944 | C23 | 1 | 2 | yes | — |
| 146 | C2×#216 | C23 | 1 | 4 | yes | — |
| 147 | #940 | C23 | 1 | 2 | yes | — |
| 148 | #939 | — | 2 | 2 | no | — |
| 149 | #939 | — | 2 | 2 | no | — |
| 150 | #939 | — | 2 | 2 | no | — |
| 151 | #938 | — | 2 | 1 | no | — |
| 152 | #936 | — | 2 | 1 | no | — |
| 153 | #936 | C23 | 1 | 2 | yes | — |
| 154 | #935 | — | 2 | 2 | no | — |
| 155 | D4×Dic3 | — | 2 | 2 | no | — |
| 156 | D4×Dic3 | — | 2 | 2 | no | — |
| 157 | D4×Dic3 | — | 2 | 1 | no | — |
| 158 | D4×Dic3 | C23 | 1 | 2 | yes | — |
| 159 | D4×Dic3 | C23 | 1 | 2 | yes | — |
| 160 | C2×#214 | C23 | 1 | 4 | yes | — |
| 161 | C4×#67 | — | 2 | 1 | no | — |
| 162 | C4×#67 | — | 2 | 1 | no | — |
| 163 | C4×#67 | — | 2 | 2 | no | — |
| 164 | C4×#67 | — | 2 | 2 | no | — |
| 165 | #926 | — | 2 | 2 | no | — |
| 166 | #926 | C23 | 1 | 1 | yes | characteristic |
| 167 | C2×C4⋊Dic3 | — | 2 | 2 | no | — |
| 168 | C2×C4⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 169 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 170 | C2×Dic3⋊C4 | — | 2 | 1 | no | — |
| 171 | C2×Dic3⋊C4 | — | 2 | 2 | no | — |
| 172 | C2×Dic3⋊C4 | — | 2 | 2 | no | — |
| 173 | C2×Dic3⋊C4 | D4 | 1 | 2 | yes | — |
| 174 | C2×C4×Dic3 | — | 2 | 1 | no | — |
| 175 | C2×C4×Dic3 | — | 2 | 2 | no | — |
| 176 | C2×C4×Dic3 | — | 2 | 2 | no | — |
| 177 | C2×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 178 | C2×#208 | C23 | 1 | 2 | yes | — |
| 179 | #909 | — | 2 | 4 | no | — |
| 180 | C2×Dic12 | C23 | 1 | 2 | yes | — |
| 181 | C2×#204 | C23 | 1 | 2 | yes | — |
| 182 | #898 | — | 2 | 2 | no | — |
| 183 | #897 | — | 2 | 1 | no | — |
| 184 | #892 | — | 2 | 1 | no | — |
| 185 | #890 | — | 2 | 1 | no | — |
| 186 | #890 | — | 2 | 2 | no | — |
| 187 | #890 | — | 2 | 2 | no | — |
| 188 | #890 | C23 | 1 | 4 | yes | — |
| 189 | #890 | C23 | 1 | 4 | yes | — |
| 190 | #889 | — | 2 | 4 | no | — |
| 191 | #889 | — | 2 | 4 | no | — |
| 192 | #889 | — | 2 | 4 | no | — |
| 193 | #889 | — | 2 | 4 | no | — |
| 194 | #889 | — | 2 | 2 | no | — |
| 195 | #887 | — | 2 | 1 | no | — |
| 196 | #887 | — | 2 | 2 | no | — |
| 197 | #887 | — | 2 | 2 | no | — |
| 198 | #887 | C23 | 1 | 4 | yes | — |
| 199 | #887 | C23 | 1 | 4 | yes | — |
| 200 | #886 | — | 2 | 2 | no | — |
| 201 | #885 | — | 2 | 2 | no | — |
| 202 | #883 | — | 2 | 2 | no | — |
| 203 | #67⋊C4 | — | 2 | 2 | no | — |
| 204 | #879 | — | 2 | 2 | no | — |
| 205 | #879 | — | 2 | 2 | no | — |
| 206 | #878 | — | 2 | 2 | no | — |
| 207 | #877 | — | 2 | 2 | no | — |
| 208 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 209 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 210 | #872 | — | 2 | 1 | no | — |
| 211 | C42×D3 | — | 2 | 1 | no | — |
| 212 | C4×Dic6 | — | 2 | 1 | no | — |
| 213 | C4×Dic6 | — | 2 | 1 | no | — |
| 214 | C4×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 215 | C4×Dic6 | D4 | 1 | 2 | yes | — |
| 216 | C4×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 217 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 218 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 219 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 220 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 221 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 222 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 223 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 224 | C3×#103 | C23 | 1 | 4 | yes | — |
| 225 | C3×#103 | C23 | 1 | 4 | yes | — |
| 226 | C3×#102 | C23 | 1 | 4 | yes | — |
| 227 | C3×#102 | C23 | 1 | 4 | yes | — |
| 228 | C3×#97 | C23 | 1 | 2 | yes | — |
| 229 | C3×C4×C8 | C23 | 1 | 2 | yes | — |
| 230 | #835 | C23 | 1 | 4 | yes | — |
| 231 | #832 | C23 | 1 | 4 | yes | — |
| 232 | #821 | C23 | 1 | 2 | yes | — |
| 233 | #818 | C23 | 1 | 2 | yes | — |
| 234 | #817 | C23 | 1 | 2 | yes | — |
| 235 | #816 | C23 | 1 | 2 | yes | — |
| 236 | #816 | C23 | 1 | 2 | yes | — |
| 237 | #816 | C23 | 1 | 2 | yes | — |
| 238 | #815 | C23 | 1 | 4 | yes | — |
| 239 | Dic3⋊C8 | C23 | 1 | 4 | yes | — |
| 240 | Dic3⋊C8 | C23 | 1 | 4 | yes | — |
| 241 | C8×Dic3 | C23 | 1 | 4 | yes | — |
| 242 | #810 | C23 | 1 | 4 | yes | — |
| 243 | #809 | C23 | 1 | 4 | yes | — |
| 244 | #808 | C23 | 1 | 4 | yes | — |
| 245 | #807 | C23 | 1 | 4 | yes | — |
| 246 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 247 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 248 | C2×#137 | — | 3 | 2 | no | — |
| 249 | C2×#137 | — | 3 | 1 | no | — |
| 250 | #559 | — | 3 | 1 | no | — |
| 251 | #559 | — | 3 | 2 | no | — |
| 252 | #557 | — | 3 | 2 | no | — |
| 253 | #557 | — | 3 | 2 | no | — |
| 254 | #557 | — | 3 | 4 | no | — |
| 255 | #557 | — | 3 | 1 | no | — |
| 256 | #557 | — | 6 | 1 | no | — |
| 257 | #557 | — | 6 | 2 | no | — |
| 258 | #557 | — | 6 | 1 | no | — |
| 259 | #556 | — | 3 | 1 | no | — |
| 260 | #556 | — | 3 | 2 | no | — |
| 261 | #553 | — | 6 | 2 | no | — |
| 262 | #553 | — | 6 | 1 | no | — |
| 263 | #550 | — | 3 | 1 | no | — |
| 264 | #548 | — | 6 | 1 | no | — |
| 265 | #532 | — | 3 | 2 | no | — |
| 266 | #532 | C2×D3 | 1 | 1 | yes | characteristic |
| 267 | C2×C4⋊Q8 | — | 6 | 1 | no | — |
| 268 | C2×C4⋊Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 269 | #529 | — | 6 | 2 | no | — |
| 270 | #529 | — | 6 | 1 | no | — |
| 271 | C2×#125 | — | 3 | 2 | no | — |
| 272 | C2×#125 | — | 6 | 2 | no | — |
| 273 | C4×#41 | — | 3 | 2 | no | — |
| 274 | C4×#41 | — | 3 | 1 | no | — |
| 275 | C4×#41 | — | 6 | 1 | no | — |
| 276 | C2×C4×Q8 | — | 3 | 1 | no | — |
| 277 | C2×C4×Q8 | — | 3 | 2 | no | — |
| 278 | C2×C4×Q8 | — | 3 | 1 | no | — |
| 279 | C2×C4×Q8 | — | 6 | 1 | no | — |
| 280 | #491 | — | 3 | 4 | no | — |
| 281 | #490 | — | 3 | 4 | no | — |
| 282 | #489 | C2×D3 | 1 | 4 | yes | — |
| 283 | #488 | — | 3 | 4 | no | — |
| 284 | #488 | — | 3 | 4 | no | — |
| 285 | #487 | C2×D3 | 1 | 2 | yes | — |
| 286 | #486 | C2×D3 | 1 | 2 | yes | — |
| 287 | #479 | — | 3 | 4 | no | — |
| 288 | #479 | — | 3 | 4 | no | — |
| 289 | #478 | — | 3 | 4 | no | — |
| 290 | #478 | — | 3 | 4 | no | — |
| 291 | #477 | — | 3 | 2 | no | — |
| 292 | #476 | — | 3 | 2 | no | — |
| 293 | #475 | — | 3 | 2 | no | — |
| 294 | #474 | — | 3 | 2 | no | — |
| 295 | #464 | — | 3 | 4 | no | — |
| 296 | #464 | — | 3 | 4 | no | — |
| 297 | #464 | — | 3 | 4 | no | — |
| 298 | #462 | — | 3 | 2 | no | — |
| 299 | #462 | — | 3 | 4 | no | — |
| 300 | #460 | — | 3 | 2 | no | — |
| 301 | #460 | — | 3 | 4 | no | — |
| 302 | #446 | — | 3 | 4 | no | — |
| 303 | #446 | — | 3 | 2 | no | — |
| 304 | C8×Q8 | — | 3 | 2 | no | — |
| 305 | #441 | — | 3 | 4 | no | — |
| 306 | #441 | — | 3 | 2 | no | — |
| 307 | #440 | — | 3 | 4 | no | — |
| 308 | #440 | — | 3 | 2 | no | — |
| 309 | C4×Q16 | — | 3 | 4 | no | — |
| 310 | C4×Q16 | — | 3 | 2 | no | — |
| 311 | C4×SD16 | — | 3 | 4 | no | — |
| 312 | C4×SD16 | — | 3 | 2 | no | — |
| 313 | #428 | — | 3 | 1 | no | — |
| 314 | #428 | — | 3 | 2 | no | — |
| 315 | #423 | — | 3 | 2 | no | — |
| 316 | #423 | — | 3 | 1 | no | — |
| 317 | #419 | — | 3 | 1 | no | — |
| 318 | #417 | — | 3 | 2 | no | — |
| 319 | #417 | — | 3 | 1 | no | — |
| 320 | #417 | — | 3 | 2 | no | — |
| 321 | #417 | C2×D3 | 1 | 2 | yes | — |
| 322 | #417 | C2×D3 | 1 | 2 | yes | — |
| 323 | C4×M16 | — | 3 | 2 | no | — |
| 324 | C4×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 325 | C3×#41 | — | 2 | 4 | no | — |
| 326 | C3×#41 | — | 2 | 4 | no | — |
| 327 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 328 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 329 | C2×C3×Q8 | — | 4 | 4 | no | — |
| 330 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 331 | C2×C3×D4 | — | 2 | 2 | no | — |
| 332 | C2×C3×D4 | — | 2 | 1 | no | — |
| 333 | C2×C3×D4 | — | 2 | 1 | no | — |
| 334 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 335 | C22×C3×C4 | — | 2 | 2 | no | — |
| 336 | C22×C3×C4 | — | 2 | 2 | no | — |
| 337 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 338 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 339 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 340 | C2×#67 | — | 2 | 1 | no | — |
| 341 | C2×#67 | — | 2 | 2 | no | — |
| 342 | C2×#67 | — | 2 | 2 | no | — |
| 343 | C22×Dic3 | — | 2 | 1 | no | — |
| 344 | C22×Dic3 | — | 2 | 1 | no | — |
| 345 | C22×Dic3 | — | 2 | 2 | no | — |
| 346 | C22×Dic3 | — | 2 | 2 | no | — |
| 347 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 348 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 349 | #237 | — | 4 | 4 | no | — |
| 350 | #235 | — | 2 | 2 | no | — |
| 351 | #235 | — | 2 | 2 | no | — |
| 352 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 353 | C2×C4×D3 | — | 2 | 1 | no | — |
| 354 | C2×C4×D3 | — | 2 | 1 | no | — |
| 355 | C2×C4×D3 | — | 2 | 1 | no | — |
| 356 | C2×Dic6 | — | 2 | 1 | no | — |
| 357 | C2×Dic6 | — | 2 | 2 | no | — |
| 358 | C2×Dic6 | — | 4 | 2 | no | — |
| 359 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 360 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 361 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 362 | C2×Dic6 | #41 | 1 | 4 | yes | complemented |
| 363 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 364 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 365 | C3×M16 | — | 2 | 2 | no | — |
| 366 | C3×M16 | — | 2 | 2 | no | — |
| 367 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 368 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 369 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 370 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 371 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 372 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 373 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 374 | C3×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 375 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 376 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 377 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 378 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 379 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 380 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 381 | #217 | — | 2 | 1 | no | — |
| 382 | #217 | — | 2 | 2 | no | — |
| 383 | #217 | — | 2 | 2 | no | — |
| 384 | #217 | — | 2 | 2 | no | — |
| 385 | #217 | — | 2 | 2 | no | — |
| 386 | #216 | — | 2 | 8 | no | — |
| 387 | #214 | — | 2 | 8 | no | — |
| 388 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 389 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 390 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 391 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 392 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 393 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 394 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 395 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 396 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 397 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 398 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 399 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 400 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 401 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 402 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 403 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 404 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 405 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 406 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 407 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 408 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 409 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 410 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 411 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 412 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 413 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 414 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 415 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 416 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 417 | C4×Dic3 | — | 2 | 2 | no | — |
| 418 | C4×Dic3 | — | 2 | 2 | no | — |
| 419 | C4×Dic3 | — | 2 | 1 | no | — |
| 420 | C4×Dic3 | — | 2 | 1 | no | — |
| 421 | C4×Dic3 | — | 2 | 1 | no | — |
| 422 | C4×Dic3 | — | 2 | 2 | no | — |
| 423 | C4×Dic3 | — | 2 | 2 | no | — |
| 424 | C4×Dic3 | — | 2 | 4 | no | — |
| 425 | C4×Dic3 | — | 2 | 4 | no | — |
| 426 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 427 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 428 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 429 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 430 | #208 | — | 2 | 4 | no | — |
| 431 | C2×C3⋊C8 | C24 | 1 | 4 | yes | — |
| 432 | Dic12 | — | 2 | 4 | no | — |
| 433 | #204 | — | 2 | 4 | no | — |
| 434 | C2×#41 | — | 3 | 1 | no | — |
| 435 | C2×#41 | — | 6 | 1 | no | — |
| 436 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 437 | C22×Q8 | — | 2 | 1 | no | — |
| 438 | C22×Q8 | — | 3 | 1 | no | — |
| 439 | C22×Q8 | — | 3 | 1 | no | — |
| 440 | #137 | — | 6 | 4 | no | — |
| 441 | #137 | — | 6 | 8 | no | — |
| 442 | C2×Q16 | — | 3 | 4 | no | — |
| 443 | C2×Q16 | — | 3 | 2 | no | — |
| 444 | C2×SD16 | — | 3 | 4 | no | — |
| 445 | C2×SD16 | — | 3 | 2 | no | — |
| 446 | C2×M16 | — | 3 | 2 | no | — |
| 447 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 448 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 449 | C4⋊Q8 | — | 2 | 1 | no | — |
| 450 | C4⋊Q8 | — | 2 | 1 | no | — |
| 451 | C4⋊Q8 | — | 3 | 2 | no | — |
| 452 | C4⋊Q8 | — | 6 | 2 | no | — |
| 453 | C4⋊Q8 | — | 6 | 2 | no | — |
| 454 | C4⋊Q8 | — | 6 | 4 | no | — |
| 455 | C4⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 456 | C4⋊Q8 | C22×D3 | 1 | 2 | yes | — |
| 457 | C4⋊Q8 | C22×D3 | 1 | 2 | yes | — |
| 458 | #127 | — | 3 | 2 | no | — |
| 459 | #127 | C22×D3 | 1 | 1 | yes | characteristic |
| 460 | #126 | — | 6 | 2 | no | — |
| 461 | #126 | — | 6 | 2 | no | — |
| 462 | #126 | — | 6 | 2 | no | — |
| 463 | #125 | — | 3 | 4 | no | — |
| 464 | #125 | — | 3 | 4 | no | — |
| 465 | #125 | — | 6 | 2 | no | — |
| 466 | #125 | — | 6 | 2 | no | — |
| 467 | #125 | — | 6 | 4 | no | — |
| 468 | #125 | — | 6 | 4 | no | — |
| 469 | #125 | — | 6 | 4 | no | — |
| 470 | #125 | — | 6 | 4 | no | — |
| 471 | #125 | — | 6 | 2 | no | — |
| 472 | #125 | — | 6 | 1 | no | — |
| 473 | #124 | — | 3 | 2 | no | — |
| 474 | #124 | — | 3 | 2 | no | — |
| 475 | #124 | — | 6 | 2 | no | — |
| 476 | #124 | — | 6 | 1 | no | — |
| 477 | #124 | C22×D3 | 1 | 2 | yes | — |
| 478 | #123 | — | 6 | 2 | no | — |
| 479 | #123 | — | 6 | 2 | no | — |
| 480 | #123 | — | 6 | 2 | no | — |
| 481 | C22⋊Q8 | — | 6 | 2 | no | — |
| 482 | C22⋊Q8 | — | 6 | 1 | no | — |
| 483 | #121 | — | 2 | 1 | no | — |
| 484 | #121 | — | 2 | 1 | no | — |
| 485 | #121 | — | 6 | 1 | no | — |
| 486 | #121 | — | 6 | 2 | no | — |
| 487 | #121 | — | 6 | 2 | no | — |
| 488 | #121 | — | 6 | 2 | no | — |
| 489 | C4×Q8 | — | 3 | 1 | no | — |
| 490 | C4×Q8 | — | 3 | 2 | no | — |
| 491 | C4×Q8 | — | 3 | 1 | no | — |
| 492 | C4×Q8 | — | 3 | 1 | no | — |
| 493 | C4×Q8 | — | 3 | 1 | no | — |
| 494 | C4×Q8 | — | 3 | 2 | no | — |
| 495 | C4×Q8 | — | 3 | 2 | no | — |
| 496 | C4×Q8 | — | 3 | 2 | no | — |
| 497 | C4×Q8 | — | 3 | 4 | no | — |
| 498 | C4×Q8 | — | 3 | 4 | no | — |
| 499 | C4×Q8 | — | 3 | 2 | no | — |
| 500 | C4×Q8 | — | 3 | 2 | no | — |
| 501 | C4×Q8 | — | 3 | 1 | no | — |
| 502 | C4×Q8 | — | 3 | 1 | no | — |
| 503 | C4×Q8 | — | 6 | 2 | no | — |
| 504 | C4×Q8 | — | 6 | 2 | no | — |
| 505 | C4×Q8 | — | 6 | 1 | no | — |
| 506 | C4×Q8 | — | 6 | 2 | no | — |
| 507 | C4×Q8 | — | 6 | 2 | no | — |
| 508 | C4×Q8 | — | 6 | 4 | no | — |
| 509 | C4×Q8 | — | 6 | 1 | no | — |
| 510 | C4×Q8 | — | 6 | 1 | no | — |
| 511 | C4×D4 | — | 2 | 1 | no | — |
| 512 | C4×D4 | — | 2 | 1 | no | — |
| 513 | C4×D4 | — | 3 | 2 | no | — |
| 514 | C4×D4 | — | 3 | 2 | no | — |
| 515 | C4×D4 | — | 3 | 1 | no | — |
| 516 | C4×D4 | — | 3 | 1 | no | — |
| 517 | C4×D4 | — | 6 | 2 | no | — |
| 518 | C4×D4 | — | 6 | 2 | no | — |
| 519 | C4×D4 | — | 6 | 2 | no | — |
| 520 | C4×D4 | — | 6 | 1 | no | — |
| 521 | C4×D4 | — | 6 | 2 | no | — |
| 522 | C4×D4 | — | 6 | 2 | no | — |
| 523 | C4×D4 | — | 6 | 1 | no | — |
| 524 | C4×D4 | — | 6 | 1 | no | — |
| 525 | #117 | — | 3 | 1 | no | — |
| 526 | #117 | — | 6 | 2 | no | — |
| 527 | #117 | — | 6 | 2 | no | — |
| 528 | #117 | — | 6 | 1 | no | — |
| 529 | #117 | — | 6 | 1 | no | — |
| 530 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 531 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 532 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 533 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 534 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 535 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 536 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 537 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 538 | C2×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 539 | C2×C42 | — | 3 | 2 | no | — |
| 540 | C2×C42 | — | 6 | 2 | no | — |
| 541 | C2×C42 | — | 6 | 2 | no | — |
| 542 | C2×C42 | — | 6 | 1 | no | — |
| 543 | C2×C42 | — | 6 | 1 | no | — |
| 544 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 545 | #107 | — | 3 | 2 | no | — |
| 546 | #107 | — | 3 | 4 | no | — |
| 547 | #106 | — | 3 | 2 | no | — |
| 548 | #106 | — | 3 | 4 | no | — |
| 549 | C4⋊C8 | — | 3 | 4 | no | — |
| 550 | C4⋊C8 | — | 3 | 4 | no | — |
| 551 | C4⋊C8 | — | 3 | 2 | no | — |
| 552 | C4⋊C8 | — | 3 | 2 | no | — |
| 553 | #103 | — | 3 | 4 | no | — |
| 554 | #103 | — | 3 | 2 | no | — |
| 555 | #103 | — | 3 | 2 | no | — |
| 556 | #103 | — | 3 | 2 | no | — |
| 557 | #103 | — | 3 | 4 | no | — |
| 558 | #103 | C22×D3 | 1 | 4 | yes | — |
| 559 | #103 | C22×D3 | 1 | 4 | yes | — |
| 560 | #102 | — | 3 | 4 | no | — |
| 561 | #102 | — | 3 | 2 | no | — |
| 562 | #102 | — | 3 | 4 | no | — |
| 563 | #102 | C22×D3 | 1 | 4 | yes | — |
| 564 | #102 | C22×D3 | 1 | 4 | yes | — |
| 565 | #97 | — | 3 | 4 | no | — |
| 566 | #97 | C22×D3 | 1 | 2 | yes | — |
| 567 | C4×C8 | — | 3 | 4 | no | — |
| 568 | C4×C8 | C22×D3 | 1 | 2 | yes | — |
| 569 | C23×C3 | — | 2 | 2 | no | — |
| 570 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 571 | C22×D3 | — | 2 | 1 | no | — |
| 572 | C3×Q8 | — | 2 | 2 | no | — |
| 573 | C3×Q8 | — | 2 | 2 | no | — |
| 574 | C3×Q8 | — | 4 | 4 | no | — |
| 575 | C3×Q8 | — | 4 | 4 | no | — |
| 576 | C3×D4 | — | 2 | 2 | no | — |
| 577 | C3×D4 | — | 2 | 2 | no | — |
| 578 | C3×D4 | — | 4 | 4 | no | — |
| 579 | C3×D4 | — | 4 | 2 | no | — |
| 580 | C3×D4 | — | 8 | 1 | no | — |
| 581 | C2×C3×C4 | — | 2 | 2 | no | — |
| 582 | C2×C3×C4 | — | 2 | 4 | no | — |
| 583 | C2×C3×C4 | — | 2 | 2 | no | — |
| 584 | C2×C3×C4 | — | 4 | 1 | no | — |
| 585 | C2×C3×C4 | — | 4 | 4 | no | — |
| 586 | C2×C3×C4 | — | 4 | 4 | no | — |
| 587 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 588 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 589 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 590 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 591 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 592 | C2×C3×C4 | C2×#41 | 1 | 2 | yes | — |
| 593 | C2×C3×C4 | 2−1+4 | 1 | 2 | yes | — |
| 594 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 595 | #67 | — | 4 | 4 | no | — |
| 596 | #67 | — | 4 | 2 | no | — |
| 597 | #67 | — | 8 | 2 | no | — |
| 598 | C2×Dic3 | — | 2 | 4 | no | — |
| 599 | C2×Dic3 | — | 2 | 2 | no | — |
| 600 | C2×Dic3 | — | 2 | 1 | no | — |
| 601 | C2×Dic3 | — | 2 | 1 | no | — |
| 602 | C2×Dic3 | — | 2 | 2 | no | — |
| 603 | C2×Dic3 | — | 2 | 1 | no | — |
| 604 | C2×Dic3 | — | 4 | 2 | no | — |
| 605 | C2×Dic3 | — | 4 | 2 | no | — |
| 606 | C2×Dic3 | — | 4 | 4 | no | — |
| 607 | C2×Dic3 | — | 4 | 2 | no | — |
| 608 | C2×Dic3 | — | 8 | 2 | no | — |
| 609 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 610 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 611 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 612 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 613 | D12 | — | 2 | 1 | no | — |
| 614 | D12 | — | 2 | 1 | no | — |
| 615 | C4×D3 | — | 4 | 2 | no | — |
| 616 | C4×D3 | — | 4 | 2 | no | — |
| 617 | C4×D3 | — | 8 | 1 | no | — |
| 618 | Dic6 | — | 2 | 4 | no | — |
| 619 | Dic6 | — | 2 | 2 | no | — |
| 620 | Dic6 | — | 2 | 2 | no | — |
| 621 | Dic6 | — | 2 | 2 | no | — |
| 622 | Dic6 | — | 2 | 1 | no | — |
| 623 | Dic6 | — | 2 | 1 | no | — |
| 624 | Dic6 | — | 4 | 2 | no | — |
| 625 | Dic6 | C2×#41 | 1 | 4 | yes | — |
| 626 | C3×C8 | — | 2 | 2 | no | — |
| 627 | C3×C8 | — | 2 | 2 | no | — |
| 628 | C3⋊C8 | — | 2 | 4 | no | — |
| 629 | #41 | — | 2 | 4 | no | — |
| 630 | #41 | — | 2 | 4 | no | — |
| 631 | #41 | — | 6 | 2 | no | — |
| 632 | #41 | — | 6 | 2 | no | — |
| 633 | #41 | — | 12 | 4 | no | — |
| 634 | C2×Q8 | — | 2 | 2 | no | — |
| 635 | C2×Q8 | — | 2 | 2 | no | — |
| 636 | C2×Q8 | — | 3 | 1 | no | — |
| 637 | C2×Q8 | — | 3 | 1 | no | — |
| 638 | C2×Q8 | — | 3 | 2 | no | — |
| 639 | C2×Q8 | — | 3 | 4 | no | — |
| 640 | C2×Q8 | — | 3 | 2 | no | — |
| 641 | C2×Q8 | — | 3 | 1 | no | — |
| 642 | C2×Q8 | — | 4 | 4 | no | — |
| 643 | C2×Q8 | — | 6 | 1 | no | — |
| 644 | C2×Q8 | — | 6 | 2 | no | — |
| 645 | C2×Q8 | — | 12 | 2 | no | — |
| 646 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 647 | C2×D4 | — | 2 | 2 | no | — |
| 648 | C2×D4 | — | 2 | 1 | no | — |
| 649 | C2×D4 | — | 2 | 1 | no | — |
| 650 | C2×D4 | — | 3 | 1 | no | — |
| 651 | C2×D4 | — | 6 | 2 | no | — |
| 652 | C2×D4 | — | 6 | 2 | no | — |
| 653 | C2×D4 | — | 6 | 1 | no | — |
| 654 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 655 | C22×C4 | — | 2 | 2 | no | — |
| 656 | C22×C4 | — | 2 | 2 | no | — |
| 657 | C22×C4 | — | 3 | 2 | no | — |
| 658 | C22×C4 | — | 3 | 2 | no | — |
| 659 | C22×C4 | — | 6 | 2 | no | — |
| 660 | C22×C4 | — | 6 | 2 | no | — |
| 661 | C22×C4 | — | 6 | 1 | no | — |
| 662 | C22×C4 | — | 6 | 1 | no | — |
| 663 | C22×C4 | — | 6 | 1 | no | — |
| 664 | C22×C4 | — | 6 | 1 | no | — |
| 665 | C22×C4 | — | 6 | 1 | no | — |
| 666 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 667 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 668 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 669 | Q16 | — | 6 | 4 | no | — |
| 670 | Q16 | — | 6 | 8 | no | — |
| 671 | SD16 | — | 6 | 4 | no | — |
| 672 | SD16 | — | 6 | 8 | no | — |
| 673 | M16 | — | 2 | 2 | no | — |
| 674 | M16 | — | 2 | 2 | no | — |
| 675 | M16 | — | 6 | 4 | no | — |
| 676 | C2×C8 | — | 3 | 4 | no | — |
| 677 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 678 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 679 | C4⋊C4 | — | 2 | 2 | no | — |
| 680 | C4⋊C4 | — | 2 | 2 | no | — |
| 681 | C4⋊C4 | — | 2 | 2 | no | — |
| 682 | C4⋊C4 | — | 2 | 1 | no | — |
| 683 | C4⋊C4 | — | 2 | 1 | no | — |
| 684 | C4⋊C4 | — | 3 | 1 | no | — |
| 685 | C4⋊C4 | — | 3 | 2 | no | — |
| 686 | C4⋊C4 | — | 3 | 1 | no | — |
| 687 | C4⋊C4 | — | 3 | 2 | no | — |
| 688 | C4⋊C4 | — | 3 | 2 | no | — |
| 689 | C4⋊C4 | — | 3 | 2 | no | — |
| 690 | C4⋊C4 | — | 3 | 2 | no | — |
| 691 | C4⋊C4 | — | 3 | 2 | no | — |
| 692 | C4⋊C4 | — | 3 | 1 | no | — |
| 693 | C4⋊C4 | — | 3 | 1 | no | — |
| 694 | C4⋊C4 | — | 6 | 4 | no | — |
| 695 | C4⋊C4 | — | 6 | 4 | no | — |
| 696 | C4⋊C4 | — | 6 | 4 | no | — |
| 697 | C4⋊C4 | — | 6 | 4 | no | — |
| 698 | C4⋊C4 | — | 6 | 4 | no | — |
| 699 | C4⋊C4 | — | 6 | 4 | no | — |
| 700 | C4⋊C4 | — | 6 | 2 | no | — |
| 701 | C4⋊C4 | — | 6 | 2 | no | — |
| 702 | C4⋊C4 | — | 6 | 2 | no | — |
| 703 | C4⋊C4 | — | 6 | 2 | no | — |
| 704 | C4⋊C4 | — | 6 | 1 | no | — |
| 705 | C4⋊C4 | — | 6 | 2 | no | — |
| 706 | C4⋊C4 | — | 6 | 2 | no | — |
| 707 | C4⋊C4 | — | 6 | 1 | no | — |
| 708 | C4⋊C4 | — | 6 | 1 | no | — |
| 709 | C4⋊C4 | C23×D3 | 1 | 4 | yes | — |
| 710 | C22⋊C4 | — | 2 | 2 | no | — |
| 711 | C22⋊C4 | — | 2 | 2 | no | — |
| 712 | C22⋊C4 | — | 6 | 2 | no | — |
| 713 | C22⋊C4 | — | 6 | 2 | no | — |
| 714 | C22⋊C4 | — | 6 | 2 | no | — |
| 715 | C22⋊C4 | — | 6 | 2 | no | — |
| 716 | C22⋊C4 | — | 6 | 2 | no | — |
| 717 | C22⋊C4 | — | 6 | 2 | no | — |
| 718 | C22⋊C4 | — | 6 | 1 | no | — |
| 719 | C22⋊C4 | — | 6 | 1 | no | — |
| 720 | C22⋊C4 | — | 6 | 1 | no | — |
| 721 | C42 | — | 3 | 2 | no | — |
| 722 | C42 | — | 3 | 2 | no | — |
| 723 | C42 | — | 3 | 2 | no | — |
| 724 | C42 | — | 3 | 2 | no | — |
| 725 | C42 | — | 6 | 2 | no | — |
| 726 | C42 | — | 6 | 2 | no | — |
| 727 | C42 | — | 6 | 4 | no | — |
| 728 | C42 | — | 6 | 4 | no | — |
| 729 | C42 | — | 6 | 1 | no | — |
| 730 | C42 | — | 6 | 1 | no | — |
| 731 | C42 | — | 6 | 1 | no | — |
| 732 | C42 | — | 6 | 2 | no | — |
| 733 | C42 | — | 6 | 2 | no | — |
| 734 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 735 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 736 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 737 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 738 | C22×C3 | — | 2 | 1 | no | — |
| 739 | C22×C3 | — | 2 | 1 | no | — |
| 740 | C22×C3 | — | 4 | 2 | no | — |
| 741 | C22×C3 | — | 4 | 2 | no | — |
| 742 | C22×C3 | — | 4 | 2 | no | — |
| 743 | C22×C3 | #548 | 1 | 2 | yes | — |
| 744 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 745 | C2×D3 | — | 4 | 1 | no | — |
| 746 | C2×D3 | — | 4 | 1 | no | — |
| 747 | C2×D3 | — | 4 | 1 | no | — |
| 748 | C3×C4 | — | 2 | 1 | no | — |
| 749 | C3×C4 | — | 2 | 1 | no | — |
| 750 | C3×C4 | — | 2 | 1 | no | — |
| 751 | C3×C4 | — | 4 | 2 | no | — |
| 752 | C3×C4 | — | 4 | 4 | no | — |
| 753 | C3×C4 | #548 | 1 | 2 | yes | — |
| 754 | C3×C4 | #575 | 1 | 2 | yes | — |
| 755 | C3×C4 | C22×#41 | 1 | 1 | yes | characteristic |
| 756 | C3×C4 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 757 | Dic3 | — | 2 | 2 | no | — |
| 758 | Dic3 | — | 2 | 2 | no | — |
| 759 | Dic3 | — | 2 | 4 | no | — |
| 760 | Dic3 | — | 2 | 2 | no | — |
| 761 | Dic3 | — | 2 | 2 | no | — |
| 762 | Dic3 | — | 4 | 1 | no | — |
| 763 | Dic3 | — | 4 | 2 | no | — |
| 764 | Dic3 | — | 4 | 1 | no | — |
| 765 | Dic3 | — | 4 | 1 | no | — |
| 766 | C23 | — | 2 | 2 | no | — |
| 767 | C23 | — | 6 | 1 | no | — |
| 768 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 769 | Q8 | — | 2 | 2 | no | — |
| 770 | Q8 | — | 2 | 2 | no | — |
| 771 | Q8 | — | 3 | 4 | no | — |
| 772 | Q8 | — | 4 | 4 | no | — |
| 773 | Q8 | — | 4 | 4 | no | — |
| 774 | Q8 | — | 6 | 4 | no | — |
| 775 | Q8 | — | 6 | 2 | no | — |
| 776 | Q8 | — | 6 | 2 | no | — |
| 777 | Q8 | — | 6 | 2 | no | — |
| 778 | Q8 | — | 6 | 1 | no | — |
| 779 | Q8 | — | 6 | 1 | no | — |
| 780 | Q8 | — | 12 | 2 | no | — |
| 781 | D4 | — | 2 | 2 | no | — |
| 782 | D4 | — | 2 | 2 | no | — |
| 783 | D4 | — | 4 | 4 | no | — |
| 784 | D4 | — | 4 | 2 | no | — |
| 785 | D4 | — | 6 | 1 | no | — |
| 786 | D4 | — | 6 | 1 | no | — |
| 787 | D4 | — | 8 | 1 | no | — |
| 788 | D4 | — | 12 | 4 | no | — |
| 789 | D4 | — | 12 | 2 | no | — |
| 790 | D4 | — | 24 | 2 | no | — |
| 791 | C2×C4 | — | 2 | 2 | no | — |
| 792 | C2×C4 | — | 2 | 2 | no | — |
| 793 | C2×C4 | — | 2 | 4 | no | — |
| 794 | C2×C4 | — | 3 | 2 | no | — |
| 795 | C2×C4 | — | 3 | 2 | no | — |
| 796 | C2×C4 | — | 3 | 2 | no | — |
| 797 | C2×C4 | — | 3 | 2 | no | — |
| 798 | C2×C4 | — | 4 | 1 | no | — |
| 799 | C2×C4 | — | 4 | 4 | no | — |
| 800 | C2×C4 | — | 4 | 4 | no | — |
| 801 | C2×C4 | — | 6 | 4 | no | — |
| 802 | C2×C4 | — | 6 | 2 | no | — |
| 803 | C2×C4 | — | 6 | 1 | no | — |
| 804 | C2×C4 | — | 6 | 1 | no | — |
| 805 | C2×C4 | — | 6 | 1 | no | — |
| 806 | C2×C4 | — | 6 | 2 | no | — |
| 807 | C2×C4 | — | 12 | 2 | no | — |
| 808 | C2×C4 | — | 12 | 2 | no | — |
| 809 | C2×C4 | — | 12 | 4 | no | — |
| 810 | C2×C4 | — | 12 | 2 | no | — |
| 811 | C2×C4 | — | 12 | 2 | no | — |
| 812 | C2×C4 | — | 12 | 2 | no | — |
| 813 | C2×C4 | — | 24 | 1 | no | — |
| 814 | C2×C4 | — | 24 | 2 | no | — |
| 815 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 816 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 817 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 818 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 819 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 820 | C2×C4 | D3×#41 | 1 | 2 | yes | — |
| 821 | C2×C4 | #1010 | 1 | 2 | yes | — |
| 822 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 823 | C8 | — | 2 | 2 | no | — |
| 824 | C8 | — | 2 | 2 | no | — |
| 825 | C8 | — | 6 | 4 | no | — |
| 826 | C2×C3 | — | 2 | 2 | no | — |
| 827 | C2×C3 | — | 8 | 2 | no | — |
| 828 | C2×C3 | C2×#548 | 1 | 1 | yes | characteristic |
| 829 | C2×C3 | C2×#575 | 1 | 1 | yes | characteristic |
| 830 | C2×C3 | #3586 | 1 | 1 | yes | characteristic |
| 831 | D3 | — | 8 | 1 | no | — |
| 832 | C22 | — | 2 | 1 | no | — |
| 833 | C22 | — | 2 | 1 | no | — |
| 834 | C22 | — | 4 | 2 | no | — |
| 835 | C22 | — | 4 | 2 | no | — |
| 836 | C22 | — | 4 | 2 | no | — |
| 837 | C22 | — | 12 | 1 | no | — |
| 838 | C22 | — | 12 | 1 | no | — |
| 839 | C22 | — | 12 | 1 | no | — |
| 840 | C22 | #5677 | 1 | 2 | yes | — |
| 841 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 842 | C4 | — | 2 | 1 | no | — |
| 843 | C4 | — | 2 | 1 | no | — |
| 844 | C4 | — | 2 | 1 | no | — |
| 845 | C4 | — | 4 | 2 | no | — |
| 846 | C4 | — | 4 | 4 | no | — |
| 847 | C4 | — | 6 | 4 | no | — |
| 848 | C4 | — | 6 | 2 | no | — |
| 849 | C4 | — | 6 | 2 | no | — |
| 850 | C4 | — | 6 | 2 | no | — |
| 851 | C4 | — | 6 | 2 | no | — |
| 852 | C4 | — | 12 | 1 | no | — |
| 853 | C4 | — | 12 | 1 | no | — |
| 854 | C4 | — | 12 | 2 | no | — |
| 855 | C4 | — | 12 | 1 | no | — |
| 856 | C4 | #5677 | 1 | 2 | yes | — |
| 857 | C4 | #5773 | 1 | 2 | yes | — |
| 858 | C4 | C2×D3×#41 | 1 | 1 | yes | characteristic |
| 859 | C4 | C2×#1010 | 1 | 1 | yes | characteristic |
| 860 | C3 | #61320 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 861 | C2 | — | 2 | 2 | no | — |
| 862 | C2 | — | 8 | 2 | no | — |
| 863 | C2 | — | 24 | 1 | no | — |
| 864 | C2 | C2×#5677 | 1 | 1 | yes | characteristic |
| 865 | C2 | C2×#5773 | 1 | 1 | yes | characteristic |
| 866 | C2 | #87197 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#5721 | C2 | semidirect |
| 3. C3×#3141 | C2 | semidirect |
| 4. #83314 | C2 | semidirect |
| 5. #83212 | C2 | semidirect |
| 6. #81677 | C2 | semidirect |
| 7. #81673 | C2 | semidirect |
| 8. #81627 | C2 | semidirect |
| 9. #81625 | C2 | semidirect |
| 10. #81590 | C2 | semidirect |
| 11. #81589 | C2 | semidirect |
| 12. #78913 | C2 | semidirect |
| 13. #78879 | C2 | semidirect |
| 14. #78871 | C2 | semidirect |
| 15. #78867 | C2 | semidirect |
| 16. C4×#909 | C2 | semidirect |
| 17. M16×Dic6 | C2 | semidirect |
| 105. #3141 | D3 | semidirect |
| 362. C2×Dic6 | #41 | semidirect |
| 860. C3 | #61320 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86220 | 2 |
| C2×#5721 | 2 |
| C3×#3141 | 2 |
| #83314 | 2 |
| #83212 | 2 |
| #81677 | 2 |
| #81673 | 2 |
| #81627 | 2 |
| #81625 | 2 |
| #81590 | 2 |
| #81589 | 2 |
| #78913 | 2 |
| #78879 | 2 |
| #78871 | 2 |
| #78867 | 2 |
| C4×#909 | 2 |
| M16×Dic6 | 2 |
| #61320 | 3 |