Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1020 conjugacy classes of subgroups.
The subgroup lattice has 818 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #85893 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #79240 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #78878 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #74221 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#1860 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #71665 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #70681 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #70362 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #70356 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #70312 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #69563 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #68977 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #68974 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #68772 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #68728 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #25667 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C3×#520 | C22 | 1 | 1 | yes | characteristic |
| 18 | #5833 | C22 | 1 | 1 | yes | characteristic |
| 19 | #5832 | C22 | 1 | 1 | yes | characteristic |
| 20 | #5582 | — | 2 | 1 | no | — |
| 21 | #5578 | — | 2 | 1 | no | — |
| 22 | #5561 | — | 2 | 1 | no | — |
| 23 | #5552 | — | 2 | 2 | no | — |
| 24 | #5548 | — | 2 | 1 | no | — |
| 25 | #5540 | — | 2 | 2 | no | — |
| 26 | #5533 | — | 2 | 1 | no | — |
| 27 | #5532 | — | 2 | 1 | no | — |
| 28 | #5523 | C22 | 1 | 1 | yes | characteristic |
| 29 | #5522 | C22 | 1 | 1 | yes | characteristic |
| 30 | #5511 | — | 2 | 1 | no | — |
| 31 | #5510 | C22 | 1 | 1 | yes | characteristic |
| 32 | #5507 | — | 2 | 1 | no | — |
| 33 | C2×#888 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#888 | C22 | 1 | 1 | yes | characteristic |
| 35 | C3×#428 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×C3×#104 | C22 | 1 | 1 | yes | characteristic |
| 37 | C3×#417 | C22 | 1 | 1 | yes | characteristic |
| 38 | C3×#382 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#837 | C22 | 1 | 1 | yes | characteristic |
| 40 | #5232 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#825 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#825 | C22 | 1 | 1 | yes | characteristic |
| 43 | #5133 | C22 | 1 | 1 | yes | characteristic |
| 44 | #5133 | C22 | 1 | 1 | yes | characteristic |
| 45 | #5118 | C22 | 1 | 1 | yes | characteristic |
| 46 | Dic3×M16 | C22 | 1 | 1 | yes | characteristic |
| 47 | #4995 | C22 | 1 | 1 | yes | characteristic |
| 48 | #4977 | C22 | 1 | 1 | yes | characteristic |
| 49 | #4977 | C22 | 1 | 1 | yes | characteristic |
| 50 | #4966 | C22 | 1 | 1 | yes | characteristic |
| 51 | #4966 | C22 | 1 | 1 | yes | characteristic |
| 52 | #4936 | C22 | 1 | 1 | yes | characteristic |
| 53 | C42×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×#805 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×#805 | C22 | 1 | 1 | yes | characteristic |
| 56 | #4890 | — | 2 | 1 | no | — |
| 57 | #4875 | — | 2 | 1 | no | — |
| 58 | #4870 | — | 2 | 1 | no | — |
| 59 | #4854 | — | 2 | 1 | no | — |
| 60 | #4794 | — | 2 | 1 | no | — |
| 61 | #4792 | — | 2 | 1 | no | — |
| 62 | #4765 | — | 2 | 1 | no | — |
| 63 | #4760 | — | 2 | 1 | no | — |
| 64 | #4646 | — | 2 | 2 | no | — |
| 65 | #4646 | — | 2 | 2 | no | — |
| 66 | C3×#343 | C22 | 1 | 1 | yes | characteristic |
| 67 | C3×#339 | C22 | 1 | 1 | yes | characteristic |
| 68 | #4554 | C22 | 1 | 1 | yes | characteristic |
| 69 | #4554 | C22 | 1 | 1 | yes | characteristic |
| 70 | #4532 | C22 | 1 | 1 | yes | characteristic |
| 71 | #4530 | C22 | 1 | 1 | yes | characteristic |
| 72 | #3511 | — | 3 | 1 | no | — |
| 73 | #3141 | — | 3 | 1 | no | — |
| 74 | #3079 | — | 3 | 1 | no | — |
| 75 | #2862 | — | 3 | 1 | no | — |
| 76 | #2040 | — | 3 | 1 | no | — |
| 77 | #2040 | — | 3 | 1 | no | — |
| 78 | #2040 | — | 3 | 1 | no | — |
| 79 | #2040 | — | 3 | 1 | no | — |
| 80 | #1997 | — | 3 | 1 | no | — |
| 81 | #1962 | — | 3 | 1 | no | — |
| 82 | #1860 | — | 3 | 1 | no | — |
| 83 | #1860 | — | 3 | 1 | no | — |
| 84 | #1860 | — | 3 | 1 | no | — |
| 85 | #1860 | D3 | 1 | 1 | yes | characteristic, complemented |
| 86 | C4×#104 | — | 3 | 1 | no | — |
| 87 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×#235 | — | 2 | 2 | no | — |
| 89 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 91 | C22×Dic6 | — | 2 | 1 | no | — |
| 92 | C22×Dic6 | D4 | 1 | 2 | yes | — |
| 93 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 95 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 96 | C3×C4×D4 | — | 2 | 1 | no | — |
| 97 | C3×C4×D4 | — | 2 | 2 | no | — |
| 98 | C3×#117 | — | 2 | 1 | no | — |
| 99 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 101 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 104 | #947 | D4 | 1 | 1 | yes | characteristic |
| 105 | #946 | — | 2 | 1 | no | — |
| 106 | #944 | D4 | 1 | 1 | yes | characteristic |
| 107 | #940 | D4 | 1 | 1 | yes | characteristic |
| 108 | #939 | — | 2 | 1 | no | — |
| 109 | #939 | — | 2 | 2 | no | — |
| 110 | #939 | — | 2 | 1 | no | — |
| 111 | #938 | — | 2 | 1 | no | — |
| 112 | #936 | D4 | 1 | 1 | yes | characteristic |
| 113 | #930 | — | 2 | 2 | no | — |
| 114 | #930 | — | 2 | 1 | no | — |
| 115 | #929 | — | 2 | 2 | no | — |
| 116 | C4×#67 | — | 2 | 2 | no | — |
| 117 | C4×#67 | — | 2 | 1 | no | — |
| 118 | C4×#67 | — | 2 | 1 | no | — |
| 119 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 120 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 121 | #924 | — | 2 | 2 | no | — |
| 122 | #924 | — | 2 | 1 | no | — |
| 123 | C2×Dic3⋊C4 | — | 2 | 1 | no | — |
| 124 | C2×Dic3⋊C4 | D4 | 1 | 2 | yes | — |
| 125 | C2×C4×Dic3 | — | 2 | 1 | no | — |
| 126 | C2×C4×Dic3 | — | 2 | 1 | no | — |
| 127 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 129 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 131 | #897 | — | 2 | 1 | no | — |
| 132 | #897 | — | 2 | 1 | no | — |
| 133 | #896 | — | 2 | 2 | no | — |
| 134 | #896 | — | 2 | 2 | no | — |
| 135 | #895 | — | 2 | 1 | no | — |
| 136 | #895 | — | 2 | 1 | no | — |
| 137 | #894 | — | 2 | 2 | no | — |
| 138 | #893 | D4 | 1 | 1 | yes | characteristic |
| 139 | #893 | D4 | 1 | 1 | yes | characteristic |
| 140 | #892 | — | 2 | 1 | no | — |
| 141 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 142 | #889 | — | 2 | 2 | no | — |
| 143 | #888 | — | 2 | 1 | no | — |
| 144 | #888 | — | 2 | 1 | no | — |
| 145 | #888 | — | 2 | 1 | no | — |
| 146 | #888 | — | 2 | 1 | no | — |
| 147 | #888 | — | 2 | 1 | no | — |
| 148 | #888 | — | 2 | 1 | no | — |
| 149 | #888 | — | 2 | 1 | no | — |
| 150 | #888 | — | 2 | 1 | no | — |
| 151 | #887 | D4 | 1 | 1 | yes | characteristic |
| 152 | #887 | D4 | 1 | 1 | yes | characteristic |
| 153 | #885 | — | 2 | 2 | no | — |
| 154 | #885 | — | 2 | 2 | no | — |
| 155 | #884 | — | 2 | 2 | no | — |
| 156 | #67⋊C4 | — | 2 | 1 | no | — |
| 157 | #67⋊C4 | — | 2 | 1 | no | — |
| 158 | #67⋊C4 | — | 2 | 2 | no | — |
| 159 | #879 | — | 2 | 2 | no | — |
| 160 | #876 | — | 2 | 2 | no | — |
| 161 | #875 | — | 2 | 2 | no | — |
| 162 | C4×D12 | — | 2 | 1 | no | — |
| 163 | #872 | — | 2 | 2 | no | — |
| 164 | #872 | — | 2 | 1 | no | — |
| 165 | C42×D3 | — | 2 | 1 | no | — |
| 166 | C4×Dic6 | — | 2 | 2 | no | — |
| 167 | C4×Dic6 | — | 2 | 1 | no | — |
| 168 | C3×#107 | — | 2 | 1 | no | — |
| 169 | C3×#106 | — | 2 | 1 | no | — |
| 170 | C3×#104 | — | 2 | 2 | no | — |
| 171 | C3×#103 | — | 2 | 1 | no | — |
| 172 | C3×#102 | — | 2 | 1 | no | — |
| 173 | C3×#95 | — | 2 | 2 | no | — |
| 174 | #837 | — | 2 | 2 | no | — |
| 175 | #835 | — | 2 | 1 | no | — |
| 176 | #832 | — | 2 | 1 | no | — |
| 177 | C3⋊#95 | — | 2 | 2 | no | — |
| 178 | C3⋊#95 | — | 2 | 2 | no | — |
| 179 | C3⋊#95 | — | 2 | 2 | no | — |
| 180 | #825 | — | 2 | 2 | no | — |
| 181 | #825 | — | 2 | 2 | no | — |
| 182 | #821 | — | 2 | 1 | no | — |
| 183 | #821 | — | 2 | 1 | no | — |
| 184 | #816 | — | 2 | 1 | no | — |
| 185 | #816 | — | 2 | 1 | no | — |
| 186 | #815 | — | 2 | 1 | no | — |
| 187 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 188 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 189 | C8×Dic3 | — | 2 | 1 | no | — |
| 190 | #810 | — | 2 | 1 | no | — |
| 191 | #810 | — | 2 | 1 | no | — |
| 192 | #809 | — | 2 | 1 | no | — |
| 193 | #809 | — | 2 | 1 | no | — |
| 194 | #808 | — | 2 | 1 | no | — |
| 195 | #807 | — | 2 | 1 | no | — |
| 196 | #805 | — | 2 | 2 | no | — |
| 197 | #805 | — | 2 | 2 | no | — |
| 198 | #556 | — | 6 | 1 | no | — |
| 199 | #555 | — | 6 | 1 | no | — |
| 200 | #554 | — | 6 | 1 | no | — |
| 201 | #553 | — | 6 | 2 | no | — |
| 202 | #548 | — | 6 | 2 | no | — |
| 203 | #547 | — | 6 | 1 | no | — |
| 204 | #542 | — | 6 | 1 | no | — |
| 205 | #542 | — | 6 | 1 | no | — |
| 206 | #537 | — | 3 | 1 | no | — |
| 207 | #537 | — | 3 | 1 | no | — |
| 208 | #533 | — | 6 | 1 | no | — |
| 209 | #532 | — | 3 | 1 | no | — |
| 210 | #532 | — | 6 | 1 | no | — |
| 211 | C2×C4⋊Q8 | — | 3 | 1 | no | — |
| 212 | C2×C4⋊Q8 | — | 3 | 1 | no | — |
| 213 | #520 | — | 3 | 1 | no | — |
| 214 | #520 | C2×D3 | 1 | 1 | yes | characteristic |
| 215 | C4×#41 | — | 3 | 1 | no | — |
| 216 | #489 | — | 6 | 1 | no | — |
| 217 | #489 | — | 6 | 1 | no | — |
| 218 | #487 | — | 6 | 1 | no | — |
| 219 | #486 | — | 6 | 1 | no | — |
| 220 | #477 | — | 6 | 1 | no | — |
| 221 | #476 | — | 6 | 1 | no | — |
| 222 | #475 | — | 6 | 1 | no | — |
| 223 | #474 | — | 6 | 1 | no | — |
| 224 | #428 | — | 3 | 1 | no | — |
| 225 | #428 | C2×D3 | 1 | 1 | yes | characteristic |
| 226 | #423 | — | 3 | 1 | no | — |
| 227 | C2×#104 | — | 3 | 1 | no | — |
| 228 | C2×#104 | — | 3 | 1 | no | — |
| 229 | C2×#104 | — | 3 | 1 | no | — |
| 230 | C2×#104 | — | 3 | 1 | no | — |
| 231 | C2×#104 | — | 3 | 1 | no | — |
| 232 | C2×#104 | C2×D3 | 1 | 1 | yes | characteristic |
| 233 | #417 | — | 3 | 1 | no | — |
| 234 | #417 | — | 3 | 1 | no | — |
| 235 | #417 | — | 3 | 1 | no | — |
| 236 | #417 | — | 3 | 1 | no | — |
| 237 | #417 | — | 3 | 1 | no | — |
| 238 | #417 | C2×D3 | 1 | 1 | yes | characteristic |
| 239 | C4×M16 | — | 3 | 1 | no | — |
| 240 | #391 | — | 6 | 2 | no | — |
| 241 | #391 | — | 6 | 2 | no | — |
| 242 | #382 | — | 3 | 1 | no | — |
| 243 | #382 | — | 3 | 1 | no | — |
| 244 | #382 | — | 3 | 1 | no | — |
| 245 | #382 | C2×D3 | 1 | 1 | yes | characteristic |
| 246 | C43 | — | 3 | 1 | no | — |
| 247 | #343 | — | 3 | 1 | no | — |
| 248 | #343 | — | 3 | 1 | no | — |
| 249 | #343 | — | 3 | 1 | no | — |
| 250 | #343 | C2×D3 | 1 | 1 | yes | characteristic |
| 251 | #339 | — | 3 | 1 | no | — |
| 252 | #339 | C2×D3 | 1 | 1 | yes | characteristic |
| 253 | C3×#41 | — | 2 | 1 | no | — |
| 254 | C3×#41 | — | 2 | 1 | no | — |
| 255 | C3×#41 | — | 2 | 1 | no | — |
| 256 | C3×#41 | — | 2 | 1 | no | — |
| 257 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C2×C3×D4 | — | 2 | 1 | no | — |
| 259 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 260 | C22×C3×C4 | — | 2 | 1 | no | — |
| 261 | C22×C3×C4 | — | 2 | 2 | no | — |
| 262 | C22×C3×C4 | — | 2 | 1 | no | — |
| 263 | C22×C3×C4 | — | 2 | 1 | no | — |
| 264 | C22×C3×C4 | C2×D4 | 1 | 2 | yes | — |
| 265 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 266 | C2×#67 | — | 2 | 1 | no | — |
| 267 | C2×#67 | — | 2 | 1 | no | — |
| 268 | C2×#67 | — | 2 | 2 | no | — |
| 269 | C2×#67 | — | 2 | 1 | no | — |
| 270 | C2×#67 | — | 2 | 1 | no | — |
| 271 | C22×Dic3 | — | 2 | 1 | no | — |
| 272 | C22×Dic3 | — | 2 | 1 | no | — |
| 273 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 275 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 276 | #235 | — | 2 | 1 | no | — |
| 277 | #235 | — | 2 | 1 | no | — |
| 278 | #235 | — | 2 | 1 | no | — |
| 279 | #235 | — | 2 | 1 | no | — |
| 280 | #235 | — | 2 | 1 | no | — |
| 281 | #235 | — | 2 | 1 | no | — |
| 282 | #235 | — | 2 | 1 | no | — |
| 283 | #235 | — | 2 | 1 | no | — |
| 284 | #235 | — | 8 | 4 | no | — |
| 285 | C2×D12 | — | 2 | 2 | no | — |
| 286 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 287 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 288 | C2×C4×D3 | — | 2 | 1 | no | — |
| 289 | C2×C4×D3 | — | 2 | 1 | no | — |
| 290 | C2×C4×D3 | — | 2 | 1 | no | — |
| 291 | C2×C4×D3 | — | 2 | 1 | no | — |
| 292 | C2×C4×D3 | — | 2 | 2 | no | — |
| 293 | C2×Dic6 | — | 2 | 2 | no | — |
| 294 | C2×Dic6 | — | 2 | 2 | no | — |
| 295 | C2×Dic6 | — | 4 | 4 | no | — |
| 296 | C2×Dic6 | — | 4 | 4 | no | — |
| 297 | C2×Dic6 | — | 4 | 1 | no | — |
| 298 | C2×Dic6 | — | 4 | 1 | no | — |
| 299 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 300 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 301 | C3×M16 | — | 2 | 1 | no | — |
| 302 | C3×M16 | — | 2 | 1 | no | — |
| 303 | C3×M16 | — | 2 | 1 | no | — |
| 304 | C3×M16 | — | 2 | 1 | no | — |
| 305 | C2×C3×C8 | — | 2 | 1 | no | — |
| 306 | C2×C3×C8 | — | 2 | 1 | no | — |
| 307 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 308 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 309 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 310 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 311 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 312 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 313 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 314 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 315 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 316 | C3×C42 | — | 2 | 2 | no | — |
| 317 | C3×C42 | — | 2 | 1 | no | — |
| 318 | C3×C42 | — | 2 | 1 | no | — |
| 319 | C3×C42 | #41 | 1 | 2 | yes | complemented |
| 320 | #217 | — | 2 | 2 | no | — |
| 321 | #217 | — | 2 | 1 | no | — |
| 322 | #217 | — | 2 | 1 | no | — |
| 323 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 324 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 325 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 326 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 327 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 328 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 329 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 330 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 331 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 332 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 333 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 334 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 335 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 336 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 337 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 338 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 339 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 340 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 341 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 342 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 343 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 344 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 345 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 346 | C4×Dic3 | — | 2 | 2 | no | — |
| 347 | C4×Dic3 | — | 2 | 1 | no | — |
| 348 | C4×Dic3 | — | 2 | 1 | no | — |
| 349 | C4×Dic3 | — | 2 | 1 | no | — |
| 350 | C4×Dic3 | — | 4 | 2 | no | — |
| 351 | C4×Dic3 | — | 4 | 2 | no | — |
| 352 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 353 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 354 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 355 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 356 | C4×Dic3 | #41 | 1 | 2 | yes | complemented |
| 357 | #208 | — | 2 | 1 | no | — |
| 358 | #208 | — | 2 | 1 | no | — |
| 359 | #208 | — | 2 | 1 | no | — |
| 360 | #208 | — | 2 | 1 | no | — |
| 361 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 362 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 363 | C2×#41 | — | 3 | 1 | no | — |
| 364 | C2×#41 | — | 3 | 1 | no | — |
| 365 | C2×#41 | — | 6 | 2 | no | — |
| 366 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 367 | C22×Q8 | — | 3 | 2 | no | — |
| 368 | C22×Q8 | — | 6 | 1 | no | — |
| 369 | C2×M16 | — | 3 | 1 | no | — |
| 370 | C2×M16 | — | 3 | 1 | no | — |
| 371 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 372 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 373 | C4⋊Q8 | — | 3 | 1 | no | — |
| 374 | C4⋊Q8 | — | 6 | 1 | no | — |
| 375 | C4⋊Q8 | — | 6 | 1 | no | — |
| 376 | C4⋊Q8 | — | 6 | 1 | no | — |
| 377 | C4⋊Q8 | — | 6 | 1 | no | — |
| 378 | C4⋊Q8 | — | 6 | 1 | no | — |
| 379 | C4⋊Q8 | — | 6 | 1 | no | — |
| 380 | C4⋊Q8 | — | 6 | 1 | no | — |
| 381 | C4⋊Q8 | — | 6 | 1 | no | — |
| 382 | #127 | — | 3 | 1 | no | — |
| 383 | #126 | — | 6 | 2 | no | — |
| 384 | #126 | — | 6 | 2 | no | — |
| 385 | #125 | — | 6 | 2 | no | — |
| 386 | #124 | — | 3 | 1 | no | — |
| 387 | #124 | — | 3 | 1 | no | — |
| 388 | #124 | — | 6 | 2 | no | — |
| 389 | #124 | — | 6 | 2 | no | — |
| 390 | #124 | — | 6 | 2 | no | — |
| 391 | #123 | — | 6 | 2 | no | — |
| 392 | #123 | — | 6 | 2 | no | — |
| 393 | C22⋊Q8 | — | 6 | 1 | no | — |
| 394 | C22⋊Q8 | — | 6 | 1 | no | — |
| 395 | C22⋊Q8 | — | 6 | 2 | no | — |
| 396 | C22⋊Q8 | — | 6 | 2 | no | — |
| 397 | C22⋊Q8 | — | 6 | 1 | no | — |
| 398 | C22⋊Q8 | — | 6 | 2 | no | — |
| 399 | C22⋊Q8 | — | 6 | 1 | no | — |
| 400 | #121 | — | 6 | 2 | no | — |
| 401 | #121 | — | 6 | 1 | no | — |
| 402 | #121 | — | 6 | 1 | no | — |
| 403 | #121 | — | 6 | 1 | no | — |
| 404 | #121 | — | 6 | 1 | no | — |
| 405 | #121 | — | 6 | 1 | no | — |
| 406 | #121 | — | 6 | 2 | no | — |
| 407 | #121 | — | 6 | 1 | no | — |
| 408 | #121 | — | 6 | 2 | no | — |
| 409 | C4×Q8 | — | 2 | 1 | no | — |
| 410 | C4×Q8 | — | 3 | 1 | no | — |
| 411 | C4×Q8 | — | 3 | 1 | no | — |
| 412 | C4×Q8 | — | 6 | 1 | no | — |
| 413 | C4×Q8 | — | 6 | 2 | no | — |
| 414 | C4×D4 | — | 2 | 1 | no | — |
| 415 | C4×D4 | — | 2 | 2 | no | — |
| 416 | C4×D4 | — | 3 | 1 | no | — |
| 417 | C4×D4 | — | 3 | 1 | no | — |
| 418 | C4×D4 | — | 6 | 1 | no | — |
| 419 | C4×D4 | — | 6 | 1 | no | — |
| 420 | C4×D4 | — | 6 | 1 | no | — |
| 421 | C4×D4 | — | 6 | 1 | no | — |
| 422 | C4×D4 | — | 6 | 1 | no | — |
| 423 | C4×D4 | — | 6 | 2 | no | — |
| 424 | C4×D4 | — | 6 | 2 | no | — |
| 425 | #117 | — | 2 | 1 | no | — |
| 426 | #117 | — | 6 | 1 | no | — |
| 427 | #117 | — | 6 | 2 | no | — |
| 428 | #117 | — | 6 | 1 | no | — |
| 429 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 430 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 431 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 432 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 433 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 434 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 435 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 436 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 437 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 438 | C2×C42 | — | 3 | 1 | no | — |
| 439 | C2×C42 | — | 3 | 1 | no | — |
| 440 | C2×C42 | — | 6 | 1 | no | — |
| 441 | C2×C42 | — | 6 | 1 | no | — |
| 442 | C2×C42 | — | 6 | 1 | no | — |
| 443 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 444 | #107 | — | 2 | 1 | no | — |
| 445 | #107 | — | 6 | 1 | no | — |
| 446 | #106 | — | 2 | 1 | no | — |
| 447 | #106 | — | 6 | 1 | no | — |
| 448 | C4⋊C8 | — | 6 | 1 | no | — |
| 449 | C4⋊C8 | — | 6 | 1 | no | — |
| 450 | #104 | — | 2 | 2 | no | — |
| 451 | #104 | — | 6 | 2 | no | — |
| 452 | #104 | — | 6 | 2 | no | — |
| 453 | #104 | — | 6 | 2 | no | — |
| 454 | #104 | — | 6 | 2 | no | — |
| 455 | #104 | — | 6 | 2 | no | — |
| 456 | #103 | — | 2 | 1 | no | — |
| 457 | #103 | — | 6 | 1 | no | — |
| 458 | #103 | — | 6 | 1 | no | — |
| 459 | #103 | — | 6 | 1 | no | — |
| 460 | #103 | — | 6 | 1 | no | — |
| 461 | #103 | — | 6 | 1 | no | — |
| 462 | #102 | — | 2 | 1 | no | — |
| 463 | #102 | — | 6 | 1 | no | — |
| 464 | #102 | — | 6 | 1 | no | — |
| 465 | #102 | — | 6 | 1 | no | — |
| 466 | #102 | — | 6 | 1 | no | — |
| 467 | #102 | — | 6 | 1 | no | — |
| 468 | #97 | — | 6 | 1 | no | — |
| 469 | C4×C8 | — | 6 | 1 | no | — |
| 470 | #95 | — | 2 | 2 | no | — |
| 471 | #95 | — | 6 | 2 | no | — |
| 472 | #95 | — | 6 | 2 | no | — |
| 473 | #95 | — | 6 | 2 | no | — |
| 474 | C23×C3 | — | 2 | 1 | no | — |
| 475 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 476 | C22×D3 | — | 2 | 1 | no | — |
| 477 | C22×D3 | — | 2 | 1 | no | — |
| 478 | C3×Q8 | — | 2 | 1 | no | — |
| 479 | C3×Q8 | — | 2 | 1 | no | — |
| 480 | C3×D4 | — | 2 | 1 | no | — |
| 481 | C3×D4 | — | 2 | 1 | no | — |
| 482 | C3×D4 | — | 4 | 1 | no | — |
| 483 | C3×D4 | — | 4 | 1 | no | — |
| 484 | C2×C3×C4 | — | 2 | 1 | no | — |
| 485 | C2×C3×C4 | — | 2 | 1 | no | — |
| 486 | C2×C3×C4 | — | 2 | 1 | no | — |
| 487 | C2×C3×C4 | — | 2 | 2 | no | — |
| 488 | C2×C3×C4 | — | 2 | 2 | no | — |
| 489 | C2×C3×C4 | — | 4 | 1 | no | — |
| 490 | C2×C3×C4 | — | 4 | 1 | no | — |
| 491 | C2×C3×C4 | — | 4 | 1 | no | — |
| 492 | C2×C3×C4 | — | 4 | 1 | no | — |
| 493 | C2×C3×C4 | — | 4 | 2 | no | — |
| 494 | C2×C3×C4 | — | 4 | 2 | no | — |
| 495 | C2×C3×C4 | — | 4 | 1 | no | — |
| 496 | C2×C3×C4 | — | 8 | 2 | no | — |
| 497 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 498 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 499 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 500 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 501 | C2×C3×C4 | 2−1+4 | 1 | 1 | yes | characteristic |
| 502 | C2×C3×C4 | 2−1+4 | 1 | 1 | yes | characteristic |
| 503 | #67 | — | 4 | 1 | no | — |
| 504 | #67 | — | 4 | 1 | no | — |
| 505 | #67 | — | 4 | 1 | no | — |
| 506 | #67 | — | 4 | 1 | no | — |
| 507 | #67 | — | 4 | 2 | no | — |
| 508 | #67 | — | 4 | 2 | no | — |
| 509 | #67 | — | 8 | 2 | no | — |
| 510 | C2×Dic3 | — | 2 | 2 | no | — |
| 511 | C2×Dic3 | — | 2 | 2 | no | — |
| 512 | C2×Dic3 | — | 2 | 1 | no | — |
| 513 | C2×Dic3 | — | 2 | 1 | no | — |
| 514 | C2×Dic3 | — | 2 | 2 | no | — |
| 515 | C2×Dic3 | — | 2 | 2 | no | — |
| 516 | C2×Dic3 | — | 4 | 1 | no | — |
| 517 | C2×Dic3 | — | 4 | 1 | no | — |
| 518 | C2×Dic3 | — | 4 | 2 | no | — |
| 519 | C2×Dic3 | — | 4 | 2 | no | — |
| 520 | C2×Dic3 | — | 4 | 1 | no | — |
| 521 | C2×Dic3 | #120 | 1 | 1 | yes | characteristic |
| 522 | C2×Dic3 | #120 | 1 | 1 | yes | characteristic |
| 523 | C2×Dic3 | #120 | 1 | 1 | yes | characteristic |
| 524 | C2×Dic3 | #120 | 1 | 1 | yes | characteristic |
| 525 | D12 | — | 2 | 1 | no | — |
| 526 | D12 | — | 2 | 1 | no | — |
| 527 | D12 | — | 2 | 1 | no | — |
| 528 | D12 | — | 2 | 1 | no | — |
| 529 | D12 | — | 8 | 2 | no | — |
| 530 | C4×D3 | — | 4 | 1 | no | — |
| 531 | C4×D3 | — | 4 | 1 | no | — |
| 532 | C4×D3 | — | 4 | 1 | no | — |
| 533 | C4×D3 | — | 4 | 1 | no | — |
| 534 | C4×D3 | — | 4 | 2 | no | — |
| 535 | C4×D3 | — | 4 | 2 | no | — |
| 536 | C4×D3 | — | 8 | 2 | no | — |
| 537 | Dic6 | — | 2 | 1 | no | — |
| 538 | Dic6 | — | 2 | 1 | no | — |
| 539 | Dic6 | — | 2 | 1 | no | — |
| 540 | Dic6 | — | 2 | 1 | no | — |
| 541 | Dic6 | — | 4 | 4 | no | — |
| 542 | Dic6 | — | 8 | 2 | no | — |
| 543 | Dic6 | — | 8 | 2 | no | — |
| 544 | Dic6 | — | 8 | 2 | no | — |
| 545 | C3×C8 | — | 4 | 1 | no | — |
| 546 | C3×C8 | — | 4 | 1 | no | — |
| 547 | C3⋊C8 | — | 4 | 1 | no | — |
| 548 | C3⋊C8 | — | 4 | 1 | no | — |
| 549 | #41 | — | 2 | 1 | no | — |
| 550 | #41 | — | 2 | 1 | no | — |
| 551 | #41 | — | 2 | 1 | no | — |
| 552 | #41 | — | 2 | 1 | no | — |
| 553 | #41 | — | 6 | 1 | no | — |
| 554 | #41 | — | 6 | 1 | no | — |
| 555 | #41 | — | 6 | 1 | no | — |
| 556 | #41 | — | 6 | 1 | no | — |
| 557 | #41 | — | 6 | 1 | no | — |
| 558 | #41 | — | 6 | 1 | no | — |
| 559 | #41 | — | 6 | 1 | no | — |
| 560 | #41 | — | 6 | 1 | no | — |
| 561 | #41 | — | 24 | 4 | no | — |
| 562 | C2×Q8 | — | 3 | 1 | no | — |
| 563 | C2×Q8 | — | 3 | 1 | no | — |
| 564 | C2×Q8 | — | 6 | 2 | no | — |
| 565 | C2×Q8 | — | 6 | 2 | no | — |
| 566 | C2×Q8 | — | 12 | 1 | no | — |
| 567 | C2×Q8 | — | 12 | 1 | no | — |
| 568 | C2×Q8 | — | 12 | 4 | no | — |
| 569 | C2×Q8 | — | 12 | 4 | no | — |
| 570 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 571 | C2×D4 | — | 2 | 1 | no | — |
| 572 | C2×D4 | — | 3 | 1 | no | — |
| 573 | C2×D4 | — | 3 | 1 | no | — |
| 574 | C2×D4 | — | 6 | 2 | no | — |
| 575 | C2×D4 | — | 6 | 1 | no | — |
| 576 | C2×D4 | — | 6 | 1 | no | — |
| 577 | C2×D4 | — | 6 | 1 | no | — |
| 578 | C2×D4 | — | 6 | 1 | no | — |
| 579 | C2×D4 | — | 6 | 2 | no | — |
| 580 | C2×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 581 | C22×C4 | — | 2 | 1 | no | — |
| 582 | C22×C4 | — | 2 | 2 | no | — |
| 583 | C22×C4 | — | 2 | 1 | no | — |
| 584 | C22×C4 | — | 2 | 1 | no | — |
| 585 | C22×C4 | — | 3 | 1 | no | — |
| 586 | C22×C4 | — | 3 | 1 | no | — |
| 587 | C22×C4 | — | 3 | 2 | no | — |
| 588 | C22×C4 | — | 6 | 1 | no | — |
| 589 | C22×C4 | — | 6 | 1 | no | — |
| 590 | C22×C4 | — | 6 | 2 | no | — |
| 591 | C22×C4 | — | 6 | 1 | no | — |
| 592 | C22×C4 | — | 6 | 1 | no | — |
| 593 | C22×C4 | — | 6 | 1 | no | — |
| 594 | C22×C4 | — | 6 | 1 | no | — |
| 595 | C22×C4 | D3×D4 | 1 | 2 | yes | — |
| 596 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 597 | M16 | — | 2 | 1 | no | — |
| 598 | M16 | — | 2 | 1 | no | — |
| 599 | M16 | — | 2 | 1 | no | — |
| 600 | M16 | — | 2 | 1 | no | — |
| 601 | M16 | — | 6 | 1 | no | — |
| 602 | M16 | — | 6 | 1 | no | — |
| 603 | M16 | — | 6 | 1 | no | — |
| 604 | M16 | — | 6 | 1 | no | — |
| 605 | C2×C8 | — | 2 | 1 | no | — |
| 606 | C2×C8 | — | 2 | 1 | no | — |
| 607 | C2×C8 | — | 6 | 1 | no | — |
| 608 | C2×C8 | — | 6 | 1 | no | — |
| 609 | C4⋊C4 | — | 2 | 2 | no | — |
| 610 | C4⋊C4 | — | 2 | 1 | no | — |
| 611 | C4⋊C4 | — | 2 | 1 | no | — |
| 612 | C4⋊C4 | — | 2 | 1 | no | — |
| 613 | C4⋊C4 | — | 2 | 1 | no | — |
| 614 | C4⋊C4 | — | 6 | 2 | no | — |
| 615 | C4⋊C4 | — | 6 | 2 | no | — |
| 616 | C4⋊C4 | — | 6 | 1 | no | — |
| 617 | C4⋊C4 | — | 6 | 1 | no | — |
| 618 | C4⋊C4 | — | 6 | 1 | no | — |
| 619 | C4⋊C4 | — | 6 | 1 | no | — |
| 620 | C4⋊C4 | — | 6 | 2 | no | — |
| 621 | C4⋊C4 | — | 6 | 2 | no | — |
| 622 | C4⋊C4 | — | 6 | 2 | no | — |
| 623 | C4⋊C4 | — | 6 | 1 | no | — |
| 624 | C4⋊C4 | — | 6 | 1 | no | — |
| 625 | C4⋊C4 | — | 6 | 1 | no | — |
| 626 | C4⋊C4 | — | 6 | 1 | no | — |
| 627 | C4⋊C4 | — | 12 | 1 | no | — |
| 628 | C4⋊C4 | — | 12 | 1 | no | — |
| 629 | C4⋊C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 630 | C4⋊C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 631 | C22⋊C4 | — | 2 | 2 | no | — |
| 632 | C22⋊C4 | — | 2 | 1 | no | — |
| 633 | C22⋊C4 | — | 6 | 1 | no | — |
| 634 | C22⋊C4 | — | 6 | 1 | no | — |
| 635 | C22⋊C4 | — | 6 | 1 | no | — |
| 636 | C22⋊C4 | — | 6 | 1 | no | — |
| 637 | C22⋊C4 | — | 6 | 2 | no | — |
| 638 | C22⋊C4 | — | 6 | 2 | no | — |
| 639 | C22⋊C4 | — | 6 | 2 | no | — |
| 640 | C22⋊C4 | — | 6 | 2 | no | — |
| 641 | C22⋊C4 | — | 6 | 1 | no | — |
| 642 | C22⋊C4 | — | 6 | 1 | no | — |
| 643 | C22⋊C4 | — | 6 | 2 | no | — |
| 644 | C42 | — | 2 | 2 | no | — |
| 645 | C42 | — | 2 | 1 | no | — |
| 646 | C42 | — | 2 | 1 | no | — |
| 647 | C42 | — | 3 | 1 | no | — |
| 648 | C42 | — | 3 | 1 | no | — |
| 649 | C42 | — | 3 | 1 | no | — |
| 650 | C42 | — | 3 | 1 | no | — |
| 651 | C42 | — | 3 | 2 | no | — |
| 652 | C42 | — | 6 | 1 | no | — |
| 653 | C42 | — | 6 | 1 | no | — |
| 654 | C42 | — | 6 | 2 | no | — |
| 655 | C42 | — | 6 | 1 | no | — |
| 656 | C42 | — | 12 | 2 | no | — |
| 657 | C42 | — | 12 | 2 | no | — |
| 658 | C42 | #235 | 1 | 2 | yes | complemented |
| 659 | C22×C3 | — | 2 | 1 | no | — |
| 660 | C22×C3 | — | 2 | 1 | no | — |
| 661 | C22×C3 | — | 4 | 1 | no | — |
| 662 | C22×C3 | — | 4 | 1 | no | — |
| 663 | C22×C3 | — | 4 | 1 | no | — |
| 664 | C22×C3 | C2×#120 | 1 | 1 | yes | characteristic |
| 665 | C22×C3 | #548 | 1 | 1 | yes | characteristic |
| 666 | C22×C3 | #548 | 1 | 1 | yes | characteristic |
| 667 | C2×D3 | — | 4 | 1 | no | — |
| 668 | C2×D3 | — | 4 | 1 | no | — |
| 669 | C2×D3 | — | 4 | 1 | no | — |
| 670 | C2×D3 | — | 4 | 1 | no | — |
| 671 | C2×D3 | — | 4 | 1 | no | — |
| 672 | C2×D3 | — | 4 | 1 | no | — |
| 673 | C3×C4 | — | 4 | 2 | no | — |
| 674 | C3×C4 | — | 4 | 1 | no | — |
| 675 | C3×C4 | — | 4 | 2 | no | — |
| 676 | C3×C4 | — | 4 | 1 | no | — |
| 677 | C3×C4 | — | 4 | 1 | no | — |
| 678 | C3×C4 | — | 8 | 1 | no | — |
| 679 | C3×C4 | #532 | 1 | 1 | yes | characteristic |
| 680 | C3×C4 | #536 | 1 | 1 | yes | characteristic |
| 681 | C3×C4 | #547 | 1 | 1 | yes | characteristic |
| 682 | C3×C4 | #547 | 1 | 1 | yes | characteristic |
| 683 | Dic3 | — | 2 | 1 | no | — |
| 684 | Dic3 | — | 2 | 1 | no | — |
| 685 | Dic3 | — | 4 | 2 | no | — |
| 686 | Dic3 | — | 4 | 1 | no | — |
| 687 | Dic3 | — | 4 | 1 | no | — |
| 688 | Dic3 | — | 4 | 2 | no | — |
| 689 | Dic3 | — | 8 | 1 | no | — |
| 690 | Dic3 | #454 | 1 | 2 | yes | — |
| 691 | Dic3 | #455 | 1 | 2 | yes | — |
| 692 | C23 | — | 2 | 1 | no | — |
| 693 | C23 | — | 6 | 1 | no | — |
| 694 | C23 | — | 6 | 1 | no | — |
| 695 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 696 | Q8 | — | 2 | 1 | no | — |
| 697 | Q8 | — | 2 | 1 | no | — |
| 698 | Q8 | — | 6 | 1 | no | — |
| 699 | Q8 | — | 6 | 1 | no | — |
| 700 | Q8 | — | 6 | 1 | no | — |
| 701 | Q8 | — | 6 | 1 | no | — |
| 702 | Q8 | — | 12 | 4 | no | — |
| 703 | Q8 | — | 24 | 2 | no | — |
| 704 | Q8 | — | 24 | 2 | no | — |
| 705 | Q8 | — | 24 | 2 | no | — |
| 706 | D4 | — | 2 | 1 | no | — |
| 707 | D4 | — | 2 | 1 | no | — |
| 708 | D4 | — | 4 | 1 | no | — |
| 709 | D4 | — | 4 | 1 | no | — |
| 710 | D4 | — | 6 | 1 | no | — |
| 711 | D4 | — | 6 | 1 | no | — |
| 712 | D4 | — | 6 | 1 | no | — |
| 713 | D4 | — | 6 | 1 | no | — |
| 714 | D4 | — | 12 | 2 | no | — |
| 715 | D4 | — | 12 | 2 | no | — |
| 716 | D4 | — | 12 | 1 | no | — |
| 717 | D4 | — | 12 | 1 | no | — |
| 718 | D4 | — | 12 | 1 | no | — |
| 719 | D4 | — | 12 | 1 | no | — |
| 720 | D4 | — | 24 | 2 | no | — |
| 721 | D4 | — | 24 | 2 | no | — |
| 722 | C2×C4 | — | 2 | 2 | no | — |
| 723 | C2×C4 | — | 2 | 1 | no | — |
| 724 | C2×C4 | — | 2 | 1 | no | — |
| 725 | C2×C4 | — | 2 | 1 | no | — |
| 726 | C2×C4 | — | 2 | 2 | no | — |
| 727 | C2×C4 | — | 3 | 1 | no | — |
| 728 | C2×C4 | — | 3 | 1 | no | — |
| 729 | C2×C4 | — | 3 | 1 | no | — |
| 730 | C2×C4 | — | 3 | 1 | no | — |
| 731 | C2×C4 | — | 4 | 1 | no | — |
| 732 | C2×C4 | — | 4 | 1 | no | — |
| 733 | C2×C4 | — | 4 | 1 | no | — |
| 734 | C2×C4 | — | 4 | 1 | no | — |
| 735 | C2×C4 | — | 4 | 2 | no | — |
| 736 | C2×C4 | — | 4 | 2 | no | — |
| 737 | C2×C4 | — | 4 | 1 | no | — |
| 738 | C2×C4 | — | 6 | 2 | no | — |
| 739 | C2×C4 | — | 6 | 2 | no | — |
| 740 | C2×C4 | — | 6 | 2 | no | — |
| 741 | C2×C4 | — | 6 | 1 | no | — |
| 742 | C2×C4 | — | 6 | 1 | no | — |
| 743 | C2×C4 | — | 6 | 2 | no | — |
| 744 | C2×C4 | — | 8 | 2 | no | — |
| 745 | C2×C4 | — | 12 | 2 | no | — |
| 746 | C2×C4 | — | 12 | 2 | no | — |
| 747 | C2×C4 | — | 12 | 1 | no | — |
| 748 | C2×C4 | — | 12 | 1 | no | — |
| 749 | C2×C4 | — | 12 | 1 | no | — |
| 750 | C2×C4 | — | 12 | 1 | no | — |
| 751 | C2×C4 | — | 12 | 1 | no | — |
| 752 | C2×C4 | — | 12 | 1 | no | — |
| 753 | C2×C4 | — | 12 | 2 | no | — |
| 754 | C2×C4 | — | 12 | 2 | no | — |
| 755 | C2×C4 | — | 12 | 1 | no | — |
| 756 | C2×C4 | — | 24 | 2 | no | — |
| 757 | C2×C4 | C2×#235 | 1 | 1 | yes | characteristic |
| 758 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 759 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 760 | C2×C4 | #1007 | 1 | 1 | yes | characteristic |
| 761 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 762 | C2×C4 | #1010 | 1 | 1 | yes | characteristic |
| 763 | C8 | — | 4 | 1 | no | — |
| 764 | C8 | — | 4 | 1 | no | — |
| 765 | C8 | — | 12 | 1 | no | — |
| 766 | C8 | — | 12 | 1 | no | — |
| 767 | C2×C3 | — | 2 | 1 | no | — |
| 768 | C2×C3 | — | 2 | 1 | no | — |
| 769 | C2×C3 | — | 8 | 1 | no | — |
| 770 | C2×C3 | #2432 | 1 | 1 | yes | characteristic |
| 771 | C2×C3 | C2×#455 | 1 | 1 | yes | characteristic |
| 772 | C2×C3 | C2×#454 | 1 | 1 | yes | characteristic |
| 773 | D3 | — | 8 | 1 | no | — |
| 774 | D3 | — | 8 | 1 | no | — |
| 775 | C22 | — | 2 | 1 | no | — |
| 776 | C22 | — | 2 | 1 | no | — |
| 777 | C22 | — | 4 | 1 | no | — |
| 778 | C22 | — | 4 | 1 | no | — |
| 779 | C22 | — | 4 | 1 | no | — |
| 780 | C22 | — | 12 | 1 | no | — |
| 781 | C22 | — | 12 | 1 | no | — |
| 782 | C22 | — | 12 | 1 | no | — |
| 783 | C22 | — | 12 | 1 | no | — |
| 784 | C22 | — | 12 | 1 | no | — |
| 785 | C22 | — | 12 | 1 | no | — |
| 786 | C22 | #5552 | 1 | 1 | yes | characteristic |
| 787 | C22 | D3×#120 | 1 | 1 | yes | characteristic |
| 788 | C22 | #5633 | 1 | 1 | yes | characteristic |
| 789 | C4 | — | 3 | 2 | no | — |
| 790 | C4 | — | 3 | 2 | no | — |
| 791 | C4 | — | 4 | 2 | no | — |
| 792 | C4 | — | 4 | 1 | no | — |
| 793 | C4 | — | 4 | 2 | no | — |
| 794 | C4 | — | 4 | 1 | no | — |
| 795 | C4 | — | 4 | 1 | no | — |
| 796 | C4 | — | 6 | 1 | no | — |
| 797 | C4 | — | 6 | 1 | no | — |
| 798 | C4 | — | 8 | 1 | no | — |
| 799 | C4 | — | 12 | 2 | no | — |
| 800 | C4 | — | 12 | 2 | no | — |
| 801 | C4 | — | 12 | 1 | no | — |
| 802 | C4 | — | 12 | 1 | no | — |
| 803 | C4 | — | 24 | 1 | no | — |
| 804 | C4 | #5507 | 1 | 1 | yes | characteristic |
| 805 | C4 | #5548 | 1 | 1 | yes | characteristic |
| 806 | C4 | #5628 | 1 | 1 | yes | characteristic |
| 807 | C4 | #5655 | 1 | 1 | yes | characteristic |
| 808 | C3 | #25667 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 809 | C2 | — | 2 | 1 | no | — |
| 810 | C2 | — | 2 | 1 | no | — |
| 811 | C2 | — | 8 | 1 | no | — |
| 812 | C2 | — | 24 | 1 | no | — |
| 813 | C2 | — | 24 | 1 | no | — |
| 814 | C2 | #74411 | 1 | 1 | yes | characteristic |
| 815 | C2 | D3×#454 | 1 | 1 | yes | characteristic |
| 816 | C2 | D3×#455 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #79240 | C2 | semidirect |
| 3. #78878 | C2 | semidirect |
| 4. #74221 | C2 | semidirect |
| 5. C3×#1860 | C2 | semidirect |
| 6. #71665 | C2 | semidirect |
| 7. #70681 | C2 | semidirect |
| 8. #70362 | C2 | semidirect |
| 9. #70356 | C2 | semidirect |
| 10. #70312 | C2 | semidirect |
| 11. #69563 | C2 | semidirect |
| 12. #68977 | C2 | semidirect |
| 13. #68974 | C2 | semidirect |
| 14. #68772 | C2 | semidirect |
| 15. #68728 | C2 | semidirect |
| 85. #1860 | D3 | semidirect |
| 319. C3×C42 | #41 | semidirect |
| 356. C4×Dic3 | #41 | semidirect |
| 658. C42 | #235 | semidirect |
| 808. C3 | #25667 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #85893 | 2 |
| #79240 | 2 |
| #78878 | 2 |
| #74221 | 2 |
| C3×#1860 | 2 |
| #71665 | 2 |
| #70681 | 2 |
| #70362 | 2 |
| #70356 | 2 |
| #70312 | 2 |
| #69563 | 2 |
| #68977 | 2 |
| #68974 | 2 |
| #68772 | 2 |
| #68728 | 2 |
| #25667 | 3 |