Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
1545 conjugacy classes of subgroups.
The subgroup lattice has 992 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72287368 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #72287291 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #72286111 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72225025 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72217181 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #7622660 | C22 | 1 | 1 | yes | characteristic |
| 7 | #6344499 | — | 2 | 1 | no | — |
| 8 | #512736 | C22 | 1 | 1 | yes | characteristic |
| 9 | #512548 | C22 | 1 | 1 | yes | characteristic |
| 10 | #494212 | C22 | 1 | 2 | yes | — |
| 11 | #494015 | — | 2 | 1 | no | — |
| 12 | #483464 | — | 2 | 2 | no | — |
| 13 | #483464 | — | 2 | 2 | no | — |
| 14 | #483463 | — | 2 | 2 | no | — |
| 15 | #483463 | — | 2 | 2 | no | — |
| 16 | #483449 | — | 2 | 1 | no | — |
| 17 | #483449 | C4 | 1 | 2 | yes | complemented |
| 18 | #483446 | C4 | 1 | 1 | yes | characteristic, complemented |
| 19 | #483444 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | #483399 | — | 2 | 1 | no | — |
| 21 | #483399 | C22 | 1 | 2 | yes | — |
| 22 | C2×#12019 | — | 2 | 1 | no | — |
| 23 | #153003 | C4 | 1 | 2 | yes | complemented |
| 24 | #152886 | C4 | 1 | 2 | yes | complemented |
| 25 | #152498 | — | 2 | 1 | no | — |
| 26 | #152491 | — | 2 | 1 | no | — |
| 27 | #151895 | — | 2 | 1 | no | — |
| 28 | #151891 | — | 2 | 1 | no | — |
| 29 | #134778 | C4 | 1 | 1 | yes | characteristic |
| 30 | #134776 | C4 | 1 | 1 | yes | characteristic |
| 31 | #134773 | C4 | 1 | 2 | yes | — |
| 32 | #134749 | — | 2 | 1 | no | — |
| 33 | #134747 | — | 2 | 1 | no | — |
| 34 | #127356 | — | 2 | 1 | no | — |
| 35 | #94418 | — | 2 | 2 | no | — |
| 36 | #94417 | — | 2 | 2 | no | — |
| 37 | #94057 | — | 2 | 2 | no | — |
| 38 | #94056 | — | 2 | 2 | no | — |
| 39 | #60269 | — | 4 | 1 | no | — |
| 40 | #60204 | D4 | 1 | 1 | yes | characteristic |
| 41 | #33974 | — | 2 | 1 | no | — |
| 42 | #33484 | — | 2 | 2 | no | — |
| 43 | #33484 | — | 2 | 2 | no | — |
| 44 | #33482 | — | 2 | 2 | no | — |
| 45 | #33482 | — | 2 | 2 | no | — |
| 46 | #33475 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | #33475 | Q8 | 1 | 1 | yes | characteristic |
| 48 | #33435 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | #33435 | D4 | 1 | 1 | yes | characteristic |
| 50 | #33432 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | #33432 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | #33432 | D4 | 1 | 1 | yes | characteristic |
| 53 | #33432 | Q8 | 1 | 1 | yes | characteristic |
| 54 | #33421 | C2×C4 | 1 | 1 | yes | characteristic |
| 55 | #33421 | D4 | 1 | 1 | yes | characteristic |
| 56 | #33418 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | #33326 | D4 | 1 | 1 | yes | characteristic |
| 58 | #33326 | C23 | 1 | 1 | yes | characteristic |
| 59 | C22×#346 | D4 | 1 | 1 | yes | characteristic |
| 60 | #20787 | — | 2 | 2 | no | — |
| 61 | #17838 | — | 4 | 2 | no | — |
| 62 | #17834 | — | 2 | 2 | no | — |
| 63 | #17834 | — | 2 | 2 | no | — |
| 64 | #17832 | — | 4 | 2 | no | — |
| 65 | #17827 | — | 2 | 2 | no | — |
| 66 | #17826 | — | 2 | 2 | no | — |
| 67 | #17824 | — | 4 | 1 | no | — |
| 68 | #17824 | — | 4 | 1 | no | — |
| 69 | #17822 | — | 4 | 1 | no | — |
| 70 | #17798 | — | 2 | 2 | no | — |
| 71 | #17798 | — | 2 | 2 | no | — |
| 72 | C2×#1568 | — | 2 | 1 | no | — |
| 73 | C2×#1566 | — | 2 | 1 | no | — |
| 74 | #13643 | — | 2 | 2 | no | — |
| 75 | #13642 | — | 2 | 2 | no | — |
| 76 | #13630 | C2×C4 | 1 | 2 | yes | — |
| 77 | #13558 | — | 2 | 2 | no | — |
| 78 | #13556 | — | 2 | 1 | no | — |
| 79 | #13553 | — | 2 | 2 | no | — |
| 80 | #13551 | — | 2 | 2 | no | — |
| 81 | #13551 | C2×C4 | 1 | 2 | yes | — |
| 82 | C2×#1398 | — | 2 | 2 | no | — |
| 83 | C2×#1398 | — | 2 | 1 | no | — |
| 84 | C2×#1398 | — | 2 | 1 | no | — |
| 85 | #12911 | — | 2 | 2 | no | — |
| 86 | #12893 | — | 2 | 2 | no | — |
| 87 | #12864 | — | 4 | 1 | no | — |
| 88 | #12840 | C2×C4 | 1 | 2 | yes | — |
| 89 | #12839 | C2×C4 | 1 | 2 | yes | — |
| 90 | #12832 | — | 2 | 2 | no | — |
| 91 | #12809 | — | 2 | 1 | no | — |
| 92 | #12807 | — | 2 | 1 | no | — |
| 93 | #12805 | — | 2 | 2 | no | — |
| 94 | #12719 | — | 4 | 1 | no | — |
| 95 | #12671 | — | 2 | 2 | no | — |
| 96 | #12668 | — | 2 | 2 | no | — |
| 97 | #12633 | — | 4 | 1 | no | — |
| 98 | #12623 | — | 4 | 1 | no | — |
| 99 | #12031 | — | 2 | 2 | no | — |
| 100 | #12031 | — | 2 | 2 | no | — |
| 101 | #12030 | — | 2 | 2 | no | — |
| 102 | #12030 | — | 2 | 2 | no | — |
| 103 | #12030 | — | 2 | 2 | no | — |
| 104 | #12030 | — | 2 | 2 | no | — |
| 105 | #12029 | — | 2 | 2 | no | — |
| 106 | #12029 | — | 2 | 2 | no | — |
| 107 | #12028 | — | 2 | 2 | no | — |
| 108 | #12028 | — | 2 | 2 | no | — |
| 109 | #12028 | — | 2 | 2 | no | — |
| 110 | #12028 | — | 2 | 2 | no | — |
| 111 | #12021 | — | 2 | 1 | no | — |
| 112 | #12021 | — | 2 | 1 | no | — |
| 113 | #12021 | C2×C4 | 1 | 2 | yes | — |
| 114 | #12021 | D4 | 1 | 2 | yes | — |
| 115 | #12020 | — | 2 | 1 | no | — |
| 116 | #12020 | — | 2 | 1 | no | — |
| 117 | #12020 | C2×C4 | 1 | 2 | yes | — |
| 118 | #12020 | D4 | 1 | 2 | yes | — |
| 119 | #12019 | — | 2 | 2 | no | — |
| 120 | #12019 | — | 2 | 2 | no | — |
| 121 | #12019 | — | 2 | 2 | no | — |
| 122 | #12019 | — | 2 | 2 | no | — |
| 123 | #12019 | — | 2 | 2 | no | — |
| 124 | #12019 | — | 2 | 2 | no | — |
| 125 | #12000 | — | 2 | 2 | no | — |
| 126 | #12000 | — | 2 | 2 | no | — |
| 127 | #11999 | — | 2 | 1 | no | — |
| 128 | #11999 | D4 | 1 | 2 | yes | — |
| 129 | C2×#1368 | — | 2 | 1 | no | — |
| 130 | C2×#1368 | — | 2 | 1 | no | — |
| 131 | C2×#1368 | — | 2 | 1 | no | — |
| 132 | C2×#1368 | — | 2 | 1 | no | — |
| 133 | C2×#1368 | — | 2 | 1 | no | — |
| 134 | C2×#1368 | D4 | 1 | 2 | yes | — |
| 135 | #7469 | — | 2 | 2 | no | — |
| 136 | #7466 | — | 2 | 2 | no | — |
| 137 | #7229 | — | 2 | 1 | no | — |
| 138 | #7228 | — | 2 | 1 | no | — |
| 139 | #7227 | — | 2 | 2 | no | — |
| 140 | #3444 | D8 | 1 | 1 | yes | characteristic |
| 141 | C2×#504 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 142 | C2×#504 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 143 | C2×#504 | C22×C4 | 1 | 1 | yes | characteristic |
| 144 | C2×#504 | C2×D4 | 1 | 1 | yes | characteristic |
| 145 | C23×C16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 146 | C23×C16 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 147 | #2995 | — | 8 | 2 | no | — |
| 148 | #2992 | — | 8 | 1 | no | — |
| 149 | #2992 | — | 8 | 1 | no | — |
| 150 | #2990 | — | 4 | 2 | no | — |
| 151 | #2990 | — | 4 | 2 | no | — |
| 152 | #2989 | — | 4 | 2 | no | — |
| 153 | #2989 | — | 4 | 2 | no | — |
| 154 | #2966 | — | 2 | 2 | no | — |
| 155 | #2966 | — | 2 | 2 | no | — |
| 156 | #2965 | — | 2 | 2 | no | — |
| 157 | C8×#41 | — | 2 | 2 | no | — |
| 158 | #2961 | — | 8 | 1 | no | — |
| 159 | #2960 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 160 | #2960 | Q16 | 1 | 1 | yes | characteristic |
| 161 | #2933 | — | 8 | 2 | no | — |
| 162 | #2932 | — | 8 | 1 | no | — |
| 163 | #2931 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 164 | #2931 | SD16 | 1 | 1 | yes | characteristic |
| 165 | #2929 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 166 | #2929 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 167 | #2929 | SD16 | 1 | 1 | yes | characteristic |
| 168 | #2929 | Q16 | 1 | 1 | yes | characteristic |
| 169 | #2925 | — | 4 | 2 | no | — |
| 170 | #2922 | D8 | 1 | 1 | yes | characteristic |
| 171 | #2922 | SD16 | 1 | 1 | yes | characteristic |
| 172 | #2920 | SD16 | 1 | 1 | yes | characteristic |
| 173 | C2×#432 | — | 4 | 1 | no | — |
| 174 | #2906 | — | 4 | 2 | no | — |
| 175 | C2×#423 | — | 4 | 1 | no | — |
| 176 | C4×#131 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 177 | C4×#131 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | C22×C4×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 179 | #2258 | — | 4 | 4 | no | — |
| 180 | C2×M64 | — | 2 | 2 | no | — |
| 181 | C2×M64 | — | 2 | 2 | no | — |
| 182 | C2×M64 | — | 4 | 2 | no | — |
| 183 | #2183 | — | 2 | 2 | no | — |
| 184 | #2183 | — | 2 | 2 | no | — |
| 185 | #2183 | — | 2 | 2 | no | — |
| 186 | #2183 | — | 2 | 2 | no | — |
| 187 | #2168 | — | 2 | 2 | no | — |
| 188 | #2168 | — | 2 | 2 | no | — |
| 189 | #2168 | — | 2 | 2 | no | — |
| 190 | #2168 | — | 2 | 2 | no | — |
| 191 | #2168 | — | 2 | 2 | no | — |
| 192 | #2168 | — | 2 | 2 | no | — |
| 193 | #2168 | — | 2 | 2 | no | — |
| 194 | #2168 | — | 2 | 2 | no | — |
| 195 | D4×C16 | — | 2 | 2 | no | — |
| 196 | D4×C16 | — | 2 | 2 | no | — |
| 197 | D4×C16 | — | 2 | 2 | no | — |
| 198 | D4×C16 | — | 2 | 2 | no | — |
| 199 | #2164 | — | 2 | 2 | no | — |
| 200 | #2164 | — | 2 | 2 | no | — |
| 201 | #2163 | — | 2 | 2 | no | — |
| 202 | #2163 | — | 2 | 2 | no | — |
| 203 | #2163 | — | 2 | 2 | no | — |
| 204 | #2162 | — | 2 | 2 | no | — |
| 205 | C2×#368 | — | 2 | 2 | no | — |
| 206 | #2158 | — | 2 | 2 | no | — |
| 207 | #2155 | — | 4 | 2 | no | — |
| 208 | #2151 | C42 | 1 | 1 | yes | characteristic |
| 209 | #2151 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 210 | #2151 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 211 | #2151 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 212 | #2150 | C42 | 1 | 1 | yes | characteristic |
| 213 | #2150 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 214 | #2132 | — | 4 | 1 | no | — |
| 215 | #2126 | — | 4 | 1 | no | — |
| 216 | #2120 | — | 4 | 2 | no | — |
| 217 | #2113 | C42 | 1 | 1 | yes | characteristic |
| 218 | #2113 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 219 | #2113 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 220 | #2113 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 221 | #2112 | C42 | 1 | 1 | yes | characteristic |
| 222 | #2112 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 223 | #2108 | — | 2 | 1 | no | — |
| 224 | #2108 | — | 2 | 1 | no | — |
| 225 | #2108 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 226 | #2108 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 227 | #2108 | C22×C4 | 1 | 1 | yes | characteristic |
| 228 | #2108 | C2×Q8 | 1 | 1 | yes | characteristic |
| 229 | #2108 | #41 | 1 | 2 | yes | — |
| 230 | #2108 | #41 | 1 | 2 | yes | — |
| 231 | C4×M32 | — | 2 | 1 | no | — |
| 232 | C4×M32 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 233 | C4×M32 | C22×C4 | 1 | 1 | yes | characteristic |
| 234 | C4×M32 | C2×D4 | 1 | 2 | yes | — |
| 235 | C2×#346 | — | 2 | 1 | no | — |
| 236 | C2×#346 | — | 2 | 1 | no | — |
| 237 | C2×#346 | — | 2 | 1 | no | — |
| 238 | C2×#346 | — | 2 | 1 | no | — |
| 239 | C2×#346 | — | 2 | 1 | no | — |
| 240 | C2×#346 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 241 | C2×#346 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 242 | C2×#346 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 243 | C2×#346 | C2×D4 | 1 | 2 | yes | — |
| 244 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | #1841 | — | 4 | 2 | no | — |
| 246 | #1833 | — | 4 | 2 | no | — |
| 247 | #1827 | — | 4 | 2 | no | — |
| 248 | #1813 | — | 2 | 2 | no | — |
| 249 | #1812 | — | 2 | 2 | no | — |
| 250 | #1772 | — | 4 | 2 | no | — |
| 251 | #1757 | — | 4 | 2 | no | — |
| 252 | #1747 | — | 4 | 2 | no | — |
| 253 | #1574 | — | 4 | 2 | no | — |
| 254 | #1574 | — | 4 | 2 | no | — |
| 255 | #1573 | — | 4 | 2 | no | — |
| 256 | #1573 | — | 4 | 2 | no | — |
| 257 | #1573 | — | 4 | 2 | no | — |
| 258 | #1573 | — | 4 | 2 | no | — |
| 259 | #1572 | — | 4 | 2 | no | — |
| 260 | #1572 | — | 4 | 2 | no | — |
| 261 | #1571 | — | 4 | 2 | no | — |
| 262 | #1570 | — | 4 | 2 | no | — |
| 263 | #1570 | — | 4 | 2 | no | — |
| 264 | #1570 | — | 4 | 2 | no | — |
| 265 | #1569 | — | 4 | 2 | no | — |
| 266 | #1569 | — | 4 | 2 | no | — |
| 267 | #1569 | — | 4 | 2 | no | — |
| 268 | #1569 | — | 4 | 2 | no | — |
| 269 | #1568 | — | 2 | 2 | no | — |
| 270 | #1568 | — | 2 | 2 | no | — |
| 271 | #1568 | — | 2 | 2 | no | — |
| 272 | #1568 | — | 2 | 2 | no | — |
| 273 | #1568 | — | 4 | 1 | no | — |
| 274 | #1568 | — | 4 | 1 | no | — |
| 275 | #1566 | — | 2 | 2 | no | — |
| 276 | #1566 | — | 2 | 2 | no | — |
| 277 | #1566 | — | 2 | 2 | no | — |
| 278 | #1566 | — | 2 | 2 | no | — |
| 279 | #1566 | — | 4 | 1 | no | — |
| 280 | #1566 | — | 4 | 1 | no | — |
| 281 | #1565 | — | 4 | 2 | no | — |
| 282 | #1565 | — | 4 | 2 | no | — |
| 283 | #1564 | — | 2 | 2 | no | — |
| 284 | #1564 | — | 2 | 2 | no | — |
| 285 | C2×#335 | — | 4 | 1 | no | — |
| 286 | C2×#334 | — | 2 | 1 | no | — |
| 287 | C2×#334 | — | 2 | 1 | no | — |
| 288 | C2×#334 | — | 2 | 1 | no | — |
| 289 | C2×#334 | — | 2 | 1 | no | — |
| 290 | C2×#334 | — | 2 | 2 | no | — |
| 291 | C2×#334 | — | 2 | 2 | no | — |
| 292 | C2×#334 | — | 4 | 1 | no | — |
| 293 | #1422 | — | 2 | 4 | no | — |
| 294 | #1401 | — | 4 | 4 | no | — |
| 295 | #1400 | — | 4 | 2 | no | — |
| 296 | C22⋊C32 | — | 4 | 4 | no | — |
| 297 | #1398 | — | 2 | 4 | no | — |
| 298 | #1398 | — | 4 | 1 | no | — |
| 299 | #1398 | — | 4 | 1 | no | — |
| 300 | #1398 | — | 4 | 1 | no | — |
| 301 | #1398 | — | 4 | 1 | no | — |
| 302 | #1395 | — | 4 | 2 | no | — |
| 303 | #1392 | — | 4 | 1 | no | — |
| 304 | #1391 | — | 4 | 1 | no | — |
| 305 | #1385 | — | 2 | 2 | no | — |
| 306 | #1384 | — | 2 | 2 | no | — |
| 307 | #1382 | — | 4 | 2 | no | — |
| 308 | #1368 | — | 2 | 2 | no | — |
| 309 | #1368 | — | 2 | 2 | no | — |
| 310 | #1368 | — | 2 | 2 | no | — |
| 311 | #1368 | — | 2 | 2 | no | — |
| 312 | #1368 | — | 2 | 1 | no | — |
| 313 | #1368 | — | 2 | 1 | no | — |
| 314 | #1368 | — | 2 | 1 | no | — |
| 315 | #1368 | — | 2 | 1 | no | — |
| 316 | #1368 | — | 2 | 2 | no | — |
| 317 | #1368 | — | 2 | 2 | no | — |
| 318 | #1368 | — | 2 | 2 | no | — |
| 319 | #1368 | — | 2 | 2 | no | — |
| 320 | #1368 | — | 2 | 2 | no | — |
| 321 | #1368 | — | 2 | 2 | no | — |
| 322 | #1368 | — | 2 | 2 | no | — |
| 323 | #1368 | — | 2 | 2 | no | — |
| 324 | #1368 | C22⋊C4 | 1 | 2 | yes | — |
| 325 | #1368 | C22⋊C4 | 1 | 2 | yes | — |
| 326 | #1368 | C22⋊C4 | 1 | 2 | yes | — |
| 327 | #1368 | C22⋊C4 | 1 | 2 | yes | — |
| 328 | C2×#131 | — | 8 | 2 | no | — |
| 329 | C2×#131 | #95 | 1 | 1 | yes | characteristic |
| 330 | C2×#131 | #103 | 1 | 1 | yes | characteristic |
| 331 | C2×#131 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 332 | C2×#131 | C2×SD16 | 1 | 1 | yes | characteristic |
| 333 | C22×M16 | — | 8 | 1 | no | — |
| 334 | C23×C8 | #95 | 1 | 1 | yes | characteristic |
| 335 | C23×C8 | #103 | 1 | 1 | yes | characteristic |
| 336 | #533 | — | 2 | 1 | no | — |
| 337 | #533 | #107 | 1 | 1 | yes | characteristic |
| 338 | #532 | — | 2 | 1 | no | — |
| 339 | #532 | #102 | 1 | 1 | yes | characteristic |
| 340 | #529 | — | 2 | 1 | no | — |
| 341 | #529 | — | 2 | 1 | no | — |
| 342 | #529 | — | 2 | 2 | no | — |
| 343 | #529 | — | 2 | 2 | no | — |
| 344 | #525 | — | 2 | 2 | no | — |
| 345 | #525 | #102 | 1 | 1 | yes | characteristic |
| 346 | #525 | #107 | 1 | 1 | yes | characteristic |
| 347 | C4×#41 | — | 2 | 2 | no | — |
| 348 | C4×#41 | #102 | 1 | 1 | yes | characteristic |
| 349 | C4×#41 | C2×D8 | 1 | 1 | yes | characteristic |
| 350 | C22×C42 | #102 | 1 | 1 | yes | characteristic |
| 351 | #504 | — | 4 | 2 | no | — |
| 352 | #504 | — | 4 | 2 | no | — |
| 353 | #504 | — | 4 | 2 | no | — |
| 354 | #504 | — | 4 | 2 | no | — |
| 355 | C2×M32 | — | 2 | 1 | no | — |
| 356 | C2×M32 | — | 2 | 1 | no | — |
| 357 | C2×M32 | #95 | 1 | 1 | yes | characteristic |
| 358 | C2×M32 | #95 | 1 | 1 | yes | characteristic |
| 359 | C2×M32 | C2×C42 | 1 | 1 | yes | characteristic |
| 360 | C2×M32 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 361 | C2×M32 | C4×D4 | 1 | 2 | yes | — |
| 362 | C2×M32 | #121 | 1 | 2 | yes | — |
| 363 | C22×C16 | — | 2 | 1 | no | — |
| 364 | C22×C16 | — | 2 | 1 | no | — |
| 365 | C22×C16 | — | 2 | 1 | no | — |
| 366 | C22×C16 | — | 2 | 1 | no | — |
| 367 | C22×C16 | — | 2 | 1 | no | — |
| 368 | C22×C16 | — | 2 | 1 | no | — |
| 369 | C22×C16 | — | 4 | 2 | no | — |
| 370 | C22×C16 | — | 4 | 2 | no | — |
| 371 | C22×C16 | #95 | 1 | 1 | yes | characteristic |
| 372 | C22×C16 | #95 | 1 | 1 | yes | characteristic |
| 373 | C22×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 374 | C22×C16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 375 | C22×C16 | C4×D4 | 1 | 2 | yes | — |
| 376 | C22×C16 | #121 | 1 | 2 | yes | — |
| 377 | #446 | — | 2 | 2 | no | — |
| 378 | #446 | — | 2 | 2 | no | — |
| 379 | #446 | — | 8 | 2 | no | — |
| 380 | #446 | — | 8 | 2 | no | — |
| 381 | #446 | — | 8 | 2 | no | — |
| 382 | #446 | — | 8 | 2 | no | — |
| 383 | C8×Q8 | — | 2 | 2 | no | — |
| 384 | C8×Q8 | — | 2 | 2 | no | — |
| 385 | #436 | — | 2 | 2 | no | — |
| 386 | #436 | — | 2 | 2 | no | — |
| 387 | #436 | — | 8 | 2 | no | — |
| 388 | #436 | — | 8 | 2 | no | — |
| 389 | #435 | — | 2 | 2 | no | — |
| 390 | #435 | — | 2 | 2 | no | — |
| 391 | #435 | — | 2 | 2 | no | — |
| 392 | #435 | — | 2 | 2 | no | — |
| 393 | #435 | — | 8 | 2 | no | — |
| 394 | #435 | — | 8 | 2 | no | — |
| 395 | #435 | — | 8 | 2 | no | — |
| 396 | #435 | — | 8 | 2 | no | — |
| 397 | #435 | — | 8 | 2 | no | — |
| 398 | #435 | — | 8 | 2 | no | — |
| 399 | #435 | — | 8 | 2 | no | — |
| 400 | #435 | — | 8 | 2 | no | — |
| 401 | C8×D4 | — | 2 | 2 | no | — |
| 402 | C8×D4 | — | 2 | 2 | no | — |
| 403 | C8×D4 | — | 2 | 2 | no | — |
| 404 | C8×D4 | — | 2 | 2 | no | — |
| 405 | C8×D4 | — | 2 | 2 | no | — |
| 406 | C8×D4 | — | 2 | 2 | no | — |
| 407 | C8×D4 | — | 8 | 2 | no | — |
| 408 | C8×D4 | — | 8 | 2 | no | — |
| 409 | #433 | — | 2 | 2 | no | — |
| 410 | #433 | — | 2 | 2 | no | — |
| 411 | #433 | — | 8 | 2 | no | — |
| 412 | #433 | — | 8 | 2 | no | — |
| 413 | #432 | — | 2 | 2 | no | — |
| 414 | #432 | — | 4 | 2 | no | — |
| 415 | #432 | — | 4 | 2 | no | — |
| 416 | #432 | — | 4 | 2 | no | — |
| 417 | #432 | — | 4 | 2 | no | — |
| 418 | #432 | — | 8 | 1 | no | — |
| 419 | #432 | — | 8 | 1 | no | — |
| 420 | #431 | — | 2 | 2 | no | — |
| 421 | #431 | — | 2 | 2 | no | — |
| 422 | #431 | — | 2 | 2 | no | — |
| 423 | #431 | — | 4 | 2 | no | — |
| 424 | #431 | — | 4 | 2 | no | — |
| 425 | C2×#108 | — | 4 | 2 | no | — |
| 426 | #427 | — | 4 | 2 | no | — |
| 427 | #424 | — | 8 | 2 | no | — |
| 428 | #424 | — | 8 | 2 | no | — |
| 429 | #424 | — | 8 | 2 | no | — |
| 430 | #424 | #103 | 1 | 1 | yes | characteristic |
| 431 | #424 | #106 | 1 | 1 | yes | characteristic |
| 432 | #424 | #107 | 1 | 1 | yes | characteristic |
| 433 | #424 | #107 | 1 | 1 | yes | characteristic |
| 434 | #423 | — | 4 | 2 | no | — |
| 435 | #423 | — | 4 | 2 | no | — |
| 436 | #423 | — | 4 | 2 | no | — |
| 437 | #423 | — | 4 | 2 | no | — |
| 438 | #423 | — | 8 | 1 | no | — |
| 439 | #423 | — | 8 | 1 | no | — |
| 440 | #423 | #103 | 1 | 1 | yes | characteristic |
| 441 | #423 | #106 | 1 | 1 | yes | characteristic |
| 442 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 443 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 444 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 445 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 446 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 447 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 448 | C2×C4⋊C8 | — | 8 | 1 | no | — |
| 449 | #413 | — | 4 | 2 | no | — |
| 450 | #410 | — | 4 | 2 | no | — |
| 451 | #408 | — | 8 | 2 | no | — |
| 452 | #408 | #102 | 1 | 1 | yes | characteristic |
| 453 | #408 | #102 | 1 | 1 | yes | characteristic |
| 454 | #408 | #103 | 1 | 1 | yes | characteristic |
| 455 | #408 | #106 | 1 | 1 | yes | characteristic |
| 456 | #407 | #103 | 1 | 1 | yes | characteristic |
| 457 | #407 | #106 | 1 | 1 | yes | characteristic |
| 458 | C2×C22⋊C8 | — | 8 | 1 | no | — |
| 459 | #405 | — | 2 | 1 | no | — |
| 460 | #405 | — | 2 | 1 | no | — |
| 461 | #405 | — | 8 | 2 | no | — |
| 462 | #405 | — | 8 | 2 | no | — |
| 463 | #405 | #95 | 1 | 1 | yes | characteristic |
| 464 | #405 | #103 | 1 | 1 | yes | characteristic |
| 465 | #405 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 466 | #405 | #123 | 1 | 2 | yes | — |
| 467 | #405 | C2×Q16 | 1 | 1 | yes | characteristic |
| 468 | #405 | #137 | 1 | 2 | yes | — |
| 469 | C4×M16 | — | 2 | 1 | no | — |
| 470 | C4×M16 | #102 | 1 | 1 | yes | characteristic |
| 471 | C4×M16 | C2×SD16 | 1 | 1 | yes | characteristic |
| 472 | C4×M16 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 473 | C2×#97 | — | 8 | 1 | no | — |
| 474 | C2×C4×C8 | — | 2 | 1 | no | — |
| 475 | C2×C4×C8 | — | 2 | 1 | no | — |
| 476 | C2×C4×C8 | — | 2 | 1 | no | — |
| 477 | C2×C4×C8 | — | 2 | 1 | no | — |
| 478 | C2×C4×C8 | — | 2 | 1 | no | — |
| 479 | C2×C4×C8 | #95 | 1 | 1 | yes | characteristic |
| 480 | C2×C4×C8 | #102 | 1 | 1 | yes | characteristic |
| 481 | C2×C4×C8 | #103 | 1 | 1 | yes | characteristic |
| 482 | C2×C4×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 483 | C2×C4×C8 | #120 | 1 | 2 | yes | — |
| 484 | M64 | — | 4 | 2 | no | — |
| 485 | M64 | — | 4 | 4 | no | — |
| 486 | M64 | — | 4 | 2 | no | — |
| 487 | M64 | — | 4 | 2 | no | — |
| 488 | M64 | — | 4 | 2 | no | — |
| 489 | C2×C32 | — | 2 | 4 | no | — |
| 490 | C2×C32 | — | 4 | 4 | no | — |
| 491 | C2×C32 | — | 4 | 2 | no | — |
| 492 | #368 | — | 4 | 2 | no | — |
| 493 | #368 | — | 4 | 2 | no | — |
| 494 | #367 | — | 4 | 2 | no | — |
| 495 | #366 | — | 4 | 2 | no | — |
| 496 | #365 | — | 8 | 4 | no | — |
| 497 | C4⋊C16 | — | 2 | 2 | no | — |
| 498 | C4⋊C16 | — | 2 | 2 | no | — |
| 499 | C4⋊C16 | — | 2 | 2 | no | — |
| 500 | C4⋊C16 | — | 2 | 2 | no | — |
| 501 | C4⋊C16 | — | 2 | 2 | no | — |
| 502 | C4⋊C16 | — | 2 | 2 | no | — |
| 503 | #356 | — | 8 | 1 | no | — |
| 504 | #355 | — | 8 | 1 | no | — |
| 505 | #354 | — | 8 | 1 | no | — |
| 506 | #353 | — | 8 | 1 | no | — |
| 507 | #352 | — | 8 | 2 | no | — |
| 508 | AΣL(1,𝔽16) | — | 8 | 2 | no | — |
| 509 | C22⋊C16 | — | 2 | 2 | no | — |
| 510 | C22⋊C16 | — | 2 | 2 | no | — |
| 511 | C22⋊C16 | — | 2 | 2 | no | — |
| 512 | C22⋊C16 | — | 2 | 2 | no | — |
| 513 | C22⋊C16 | — | 2 | 2 | no | — |
| 514 | C22⋊C16 | — | 2 | 2 | no | — |
| 515 | #346 | — | 2 | 1 | no | — |
| 516 | #346 | — | 2 | 1 | no | — |
| 517 | #346 | — | 2 | 1 | no | — |
| 518 | #346 | — | 2 | 1 | no | — |
| 519 | #346 | — | 2 | 1 | no | — |
| 520 | #346 | — | 2 | 1 | no | — |
| 521 | #346 | — | 2 | 1 | no | — |
| 522 | #346 | — | 2 | 1 | no | — |
| 523 | #346 | — | 2 | 1 | no | — |
| 524 | #346 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 525 | #346 | C4×D4 | 1 | 2 | yes | — |
| 526 | #346 | #120 | 1 | 1 | yes | characteristic |
| 527 | #346 | #120 | 1 | 1 | yes | characteristic |
| 528 | #346 | C22⋊Q8 | 1 | 2 | yes | — |
| 529 | #346 | #123 | 1 | 1 | yes | characteristic |
| 530 | #346 | #123 | 1 | 1 | yes | characteristic |
| 531 | C4×C16 | — | 2 | 1 | no | — |
| 532 | C4×C16 | — | 2 | 1 | no | — |
| 533 | C4×C16 | — | 2 | 1 | no | — |
| 534 | C4×C16 | #117 | 1 | 2 | yes | — |
| 535 | C4×C16 | C4×D4 | 1 | 2 | yes | — |
| 536 | C4×C16 | C22⋊Q8 | 1 | 2 | yes | — |
| 537 | #344 | — | 8 | 2 | no | — |
| 538 | #339 | — | 8 | 2 | no | — |
| 539 | #338 | — | 4 | 2 | no | — |
| 540 | H(3,ℤ/4) | — | 4 | 2 | no | — |
| 541 | H(3,ℤ/4) | — | 8 | 2 | no | — |
| 542 | #335 | — | 4 | 2 | no | — |
| 543 | #335 | — | 4 | 2 | no | — |
| 544 | #335 | — | 4 | 2 | no | — |
| 545 | #335 | — | 4 | 2 | no | — |
| 546 | #335 | — | 4 | 2 | no | — |
| 547 | #335 | — | 4 | 2 | no | — |
| 548 | #334 | — | 2 | 2 | no | — |
| 549 | #334 | — | 2 | 2 | no | — |
| 550 | #334 | — | 2 | 2 | no | — |
| 551 | #334 | — | 2 | 2 | no | — |
| 552 | #334 | — | 4 | 1 | no | — |
| 553 | #334 | — | 4 | 1 | no | — |
| 554 | #334 | — | 4 | 1 | no | — |
| 555 | #334 | — | 4 | 1 | no | — |
| 556 | #334 | — | 4 | 2 | no | — |
| 557 | #334 | — | 4 | 2 | no | — |
| 558 | #334 | — | 4 | 2 | no | — |
| 559 | #334 | — | 4 | 2 | no | — |
| 560 | #334 | — | 4 | 2 | no | — |
| 561 | #334 | — | 4 | 2 | no | — |
| 562 | C2×#41 | — | 2 | 2 | no | — |
| 563 | C2×#41 | #340 | 1 | 1 | yes | characteristic |
| 564 | C2×#41 | C2×#102 | 1 | 1 | yes | characteristic |
| 565 | C23×C4 | — | 2 | 1 | no | — |
| 566 | C23×C4 | #340 | 1 | 1 | yes | characteristic |
| 567 | #131 | — | 4 | 1 | no | — |
| 568 | #131 | — | 4 | 1 | no | — |
| 569 | #131 | — | 4 | 1 | no | — |
| 570 | #131 | — | 4 | 1 | no | — |
| 571 | #131 | — | 8 | 1 | no | — |
| 572 | #131 | — | 8 | 1 | no | — |
| 573 | #131 | — | 32 | 4 | no | — |
| 574 | C2×M16 | — | 2 | 1 | no | — |
| 575 | C2×M16 | — | 2 | 1 | no | — |
| 576 | C2×M16 | — | 8 | 2 | no | — |
| 577 | C2×M16 | — | 8 | 2 | no | — |
| 578 | C2×M16 | — | 8 | 2 | no | — |
| 579 | C2×M16 | — | 8 | 2 | no | — |
| 580 | C2×M16 | — | 8 | 2 | no | — |
| 581 | C2×M16 | — | 32 | 2 | no | — |
| 582 | C2×M16 | #340 | 1 | 1 | yes | characteristic |
| 583 | C2×M16 | #340 | 1 | 1 | yes | characteristic |
| 584 | C2×M16 | C2×#103 | 1 | 1 | yes | characteristic |
| 585 | C2×M16 | #417 | 1 | 2 | yes | — |
| 586 | C2×M16 | C2×#106 | 1 | 1 | yes | characteristic |
| 587 | C2×M16 | #481 | 1 | 2 | yes | — |
| 588 | C22×C8 | — | 2 | 1 | no | — |
| 589 | C22×C8 | — | 2 | 1 | no | — |
| 590 | C22×C8 | — | 2 | 1 | no | — |
| 591 | C22×C8 | — | 2 | 1 | no | — |
| 592 | C22×C8 | — | 2 | 1 | no | — |
| 593 | C22×C8 | — | 2 | 1 | no | — |
| 594 | C22×C8 | — | 4 | 1 | no | — |
| 595 | C22×C8 | — | 4 | 1 | no | — |
| 596 | C22×C8 | — | 8 | 1 | no | — |
| 597 | C22×C8 | — | 8 | 1 | no | — |
| 598 | C22×C8 | — | 8 | 1 | no | — |
| 599 | C22×C8 | — | 8 | 1 | no | — |
| 600 | C22×C8 | — | 8 | 1 | no | — |
| 601 | C22×C8 | — | 8 | 2 | no | — |
| 602 | C22×C8 | — | 8 | 2 | no | — |
| 603 | C22×C8 | #340 | 1 | 1 | yes | characteristic |
| 604 | C22×C8 | #340 | 1 | 1 | yes | characteristic |
| 605 | C22×C8 | C2×#95 | 1 | 1 | yes | characteristic |
| 606 | C22×C8 | #386 | 1 | 2 | yes | — |
| 607 | C22×C8 | C2×#103 | 1 | 1 | yes | characteristic |
| 608 | C22×C8 | #448 | 1 | 2 | yes | — |
| 609 | C4⋊Q8 | — | 2 | 1 | no | — |
| 610 | C4⋊Q8 | #360 | 1 | 1 | yes | characteristic |
| 611 | #127 | #360 | 1 | 1 | yes | characteristic |
| 612 | #126 | — | 2 | 2 | no | — |
| 613 | #126 | — | 2 | 2 | no | — |
| 614 | #125 | — | 2 | 2 | no | — |
| 615 | #125 | — | 2 | 1 | no | — |
| 616 | #124 | — | 2 | 2 | no | — |
| 617 | #124 | #360 | 1 | 1 | yes | characteristic |
| 618 | #124 | #360 | 1 | 1 | yes | characteristic |
| 619 | #123 | — | 2 | 2 | no | — |
| 620 | #123 | — | 2 | 2 | no | — |
| 621 | #123 | — | 2 | 1 | no | — |
| 622 | #123 | #360 | 1 | 2 | yes | — |
| 623 | C22⋊Q8 | — | 2 | 2 | no | — |
| 624 | C22⋊Q8 | — | 2 | 1 | no | — |
| 625 | C22⋊Q8 | — | 2 | 1 | no | — |
| 626 | C22⋊Q8 | — | 2 | 2 | no | — |
| 627 | #121 | — | 2 | 2 | no | — |
| 628 | #121 | — | 2 | 2 | no | — |
| 629 | #121 | — | 2 | 1 | no | — |
| 630 | #121 | — | 2 | 1 | no | — |
| 631 | #120 | — | 2 | 1 | no | — |
| 632 | #120 | #360 | 1 | 2 | yes | — |
| 633 | C4×Q8 | — | 2 | 2 | no | — |
| 634 | C4×Q8 | — | 2 | 1 | no | — |
| 635 | C4×Q8 | — | 2 | 1 | no | — |
| 636 | C4×Q8 | — | 2 | 2 | no | — |
| 637 | C4×D4 | — | 2 | 2 | no | — |
| 638 | C4×D4 | — | 2 | 2 | no | — |
| 639 | C4×D4 | — | 2 | 2 | no | — |
| 640 | C4×D4 | — | 2 | 2 | no | — |
| 641 | C4×D4 | — | 2 | 1 | no | — |
| 642 | C4×D4 | — | 2 | 1 | no | — |
| 643 | C4×D4 | — | 2 | 2 | no | — |
| 644 | C4×D4 | — | 2 | 2 | no | — |
| 645 | C4×D4 | — | 2 | 2 | no | — |
| 646 | C4×D4 | — | 2 | 2 | no | — |
| 647 | #117 | — | 2 | 2 | no | — |
| 648 | #117 | — | 2 | 2 | no | — |
| 649 | #117 | — | 2 | 2 | no | — |
| 650 | #117 | — | 2 | 1 | no | — |
| 651 | #117 | — | 8 | 2 | no | — |
| 652 | #117 | #340 | 1 | 1 | yes | characteristic |
| 653 | #117 | C2×#107 | 1 | 1 | yes | characteristic |
| 654 | #117 | #480 | 1 | 2 | yes | — |
| 655 | C2×C42 | — | 2 | 1 | no | — |
| 656 | C2×C42 | — | 2 | 1 | no | — |
| 657 | C2×C42 | — | 2 | 1 | no | — |
| 658 | C2×C42 | — | 2 | 1 | no | — |
| 659 | C2×C42 | — | 2 | 1 | no | — |
| 660 | C2×C42 | — | 2 | 1 | no | — |
| 661 | C2×C42 | #340 | 1 | 1 | yes | characteristic |
| 662 | C2×C42 | C2×#102 | 1 | 1 | yes | characteristic |
| 663 | C2×C42 | #447 | 1 | 2 | yes | — |
| 664 | M32 | — | 2 | 4 | no | — |
| 665 | M32 | — | 4 | 1 | no | — |
| 666 | M32 | — | 4 | 1 | no | — |
| 667 | M32 | — | 4 | 2 | no | — |
| 668 | M32 | — | 4 | 2 | no | — |
| 669 | M32 | — | 4 | 1 | no | — |
| 670 | M32 | — | 4 | 1 | no | — |
| 671 | M32 | — | 8 | 1 | no | — |
| 672 | C2×C16 | — | 2 | 2 | no | — |
| 673 | C2×C16 | — | 2 | 2 | no | — |
| 674 | C2×C16 | — | 2 | 2 | no | — |
| 675 | C2×C16 | — | 2 | 2 | no | — |
| 676 | C2×C16 | — | 2 | 1 | no | — |
| 677 | C2×C16 | — | 2 | 1 | no | — |
| 678 | C2×C16 | — | 2 | 1 | no | — |
| 679 | C2×C16 | — | 2 | 1 | no | — |
| 680 | C2×C16 | — | 4 | 2 | no | — |
| 681 | C2×C16 | — | 4 | 2 | no | — |
| 682 | C2×C16 | — | 4 | 2 | no | — |
| 683 | C2×C16 | — | 4 | 2 | no | — |
| 684 | C2×C16 | — | 4 | 1 | no | — |
| 685 | C2×C16 | — | 4 | 1 | no | — |
| 686 | C2×C16 | — | 8 | 1 | no | — |
| 687 | C2×C16 | — | 8 | 1 | no | — |
| 688 | C2×C16 | — | 8 | 1 | no | — |
| 689 | C2×C16 | C4×C22⋊C4 | 1 | 2 | yes | — |
| 690 | C2×C16 | #380 | 1 | 2 | yes | — |
| 691 | C2×C16 | #385 | 1 | 1 | yes | characteristic |
| 692 | C2×C16 | #385 | 1 | 1 | yes | characteristic |
| 693 | C2×C16 | #386 | 1 | 1 | yes | characteristic |
| 694 | C2×C16 | #386 | 1 | 1 | yes | characteristic |
| 695 | #108 | — | 8 | 2 | no | — |
| 696 | #108 | — | 8 | 2 | no | — |
| 697 | #107 | — | 8 | 2 | no | — |
| 698 | #106 | — | 8 | 2 | no | — |
| 699 | C4⋊C8 | — | 2 | 2 | no | — |
| 700 | C4⋊C8 | — | 2 | 2 | no | — |
| 701 | C4⋊C8 | — | 2 | 2 | no | — |
| 702 | C4⋊C8 | — | 2 | 2 | no | — |
| 703 | C4⋊C8 | — | 2 | 2 | no | — |
| 704 | C4⋊C8 | — | 2 | 2 | no | — |
| 705 | C4⋊C8 | — | 4 | 2 | no | — |
| 706 | C4⋊C8 | — | 4 | 2 | no | — |
| 707 | C4⋊C8 | — | 4 | 2 | no | — |
| 708 | C4⋊C8 | — | 4 | 2 | no | — |
| 709 | C4⋊C8 | — | 8 | 1 | no | — |
| 710 | C4⋊C8 | — | 8 | 1 | no | — |
| 711 | C4⋊C8 | — | 8 | 1 | no | — |
| 712 | C4⋊C8 | — | 8 | 2 | no | — |
| 713 | C4⋊C8 | — | 8 | 2 | no | — |
| 714 | C4⋊C8 | — | 8 | 1 | no | — |
| 715 | C4⋊C8 | — | 8 | 2 | no | — |
| 716 | C4⋊C8 | — | 8 | 2 | no | — |
| 717 | C4⋊C8 | — | 8 | 2 | no | — |
| 718 | C4⋊C8 | — | 8 | 2 | no | — |
| 719 | #101 | — | 8 | 2 | no | — |
| 720 | #100 | — | 8 | 2 | no | — |
| 721 | #99 | — | 8 | 2 | no | — |
| 722 | #99 | — | 8 | 2 | no | — |
| 723 | C22⋊C8 | — | 2 | 2 | no | — |
| 724 | C22⋊C8 | — | 2 | 2 | no | — |
| 725 | C22⋊C8 | — | 2 | 2 | no | — |
| 726 | C22⋊C8 | — | 2 | 2 | no | — |
| 727 | C22⋊C8 | — | 2 | 2 | no | — |
| 728 | C22⋊C8 | — | 2 | 2 | no | — |
| 729 | C22⋊C8 | — | 8 | 2 | no | — |
| 730 | C22⋊C8 | — | 8 | 2 | no | — |
| 731 | C22⋊C8 | — | 8 | 2 | no | — |
| 732 | C22⋊C8 | — | 8 | 2 | no | — |
| 733 | C22⋊C8 | — | 8 | 2 | no | — |
| 734 | C22⋊C8 | — | 8 | 2 | no | — |
| 735 | #97 | — | 2 | 1 | no | — |
| 736 | #97 | — | 2 | 1 | no | — |
| 737 | #97 | — | 2 | 1 | no | — |
| 738 | #97 | — | 8 | 2 | no | — |
| 739 | #97 | — | 8 | 2 | no | — |
| 740 | #97 | — | 8 | 2 | no | — |
| 741 | #97 | — | 8 | 2 | no | — |
| 742 | #97 | — | 16 | 2 | no | — |
| 743 | #97 | #428 | 1 | 2 | yes | — |
| 744 | #97 | #483 | 1 | 2 | yes | — |
| 745 | #97 | #484 | 1 | 2 | yes | — |
| 746 | C4×C8 | — | 2 | 1 | no | — |
| 747 | C4×C8 | — | 2 | 1 | no | — |
| 748 | C4×C8 | — | 2 | 1 | no | — |
| 749 | C4×C8 | — | 2 | 1 | no | — |
| 750 | C4×C8 | — | 2 | 1 | no | — |
| 751 | C4×C8 | — | 2 | 1 | no | — |
| 752 | C4×C8 | — | 2 | 1 | no | — |
| 753 | C4×C8 | — | 2 | 1 | no | — |
| 754 | C4×C8 | — | 2 | 1 | no | — |
| 755 | C4×C8 | — | 8 | 2 | no | — |
| 756 | C4×C8 | — | 8 | 2 | no | — |
| 757 | C4×C8 | — | 16 | 2 | no | — |
| 758 | C4×C8 | #379 | 1 | 1 | yes | characteristic |
| 759 | C4×C8 | #381 | 1 | 1 | yes | characteristic |
| 760 | C4×C8 | #385 | 1 | 2 | yes | — |
| 761 | C4×C8 | #418 | 1 | 1 | yes | characteristic |
| 762 | C4×C8 | #419 | 1 | 1 | yes | characteristic |
| 763 | C4×C8 | #450 | 1 | 2 | yes | — |
| 764 | C4×C8 | #451 | 1 | 2 | yes | — |
| 765 | C32 | — | 4 | 4 | no | — |
| 766 | C32 | — | 8 | 2 | no | — |
| 767 | C24 | #1386 | 1 | 1 | yes | characteristic |
| 768 | #41 | — | 4 | 1 | no | — |
| 769 | #41 | — | 4 | 1 | no | — |
| 770 | #41 | — | 4 | 1 | no | — |
| 771 | #41 | — | 4 | 1 | no | — |
| 772 | #41 | — | 8 | 4 | no | — |
| 773 | C2×Q8 | — | 2 | 2 | no | — |
| 774 | C2×Q8 | #1386 | 1 | 1 | yes | characteristic |
| 775 | C2×Q8 | C2×#360 | 1 | 1 | yes | characteristic |
| 776 | C2×D4 | — | 2 | 2 | no | — |
| 777 | C2×D4 | — | 2 | 2 | no | — |
| 778 | C2×D4 | — | 2 | 1 | no | — |
| 779 | C2×D4 | — | 2 | 2 | no | — |
| 780 | C2×D4 | #1386 | 1 | 1 | yes | characteristic |
| 781 | C2×D4 | C2×#360 | 1 | 1 | yes | characteristic |
| 782 | C2×D4 | C2×#360 | 1 | 2 | yes | — |
| 783 | C22×C4 | — | 2 | 1 | no | — |
| 784 | C22×C4 | — | 2 | 1 | no | — |
| 785 | C22×C4 | — | 2 | 1 | no | — |
| 786 | C22×C4 | — | 2 | 2 | no | — |
| 787 | C22×C4 | — | 2 | 1 | no | — |
| 788 | C22×C4 | — | 2 | 1 | no | — |
| 789 | C22×C4 | — | 2 | 1 | no | — |
| 790 | C22×C4 | — | 2 | 2 | no | — |
| 791 | C22×C4 | — | 2 | 1 | no | — |
| 792 | C22×C4 | — | 2 | 1 | no | — |
| 793 | C22×C4 | — | 2 | 1 | no | — |
| 794 | C22×C4 | — | 4 | 1 | no | — |
| 795 | C22×C4 | — | 4 | 1 | no | — |
| 796 | C22×C4 | — | 8 | 2 | no | — |
| 797 | C22×C4 | #1386 | 1 | 1 | yes | characteristic |
| 798 | C22×C4 | C2×#340 | 1 | 1 | yes | characteristic |
| 799 | C22×C4 | #1874 | 1 | 2 | yes | — |
| 800 | M16 | — | 4 | 1 | no | — |
| 801 | M16 | — | 4 | 2 | no | — |
| 802 | M16 | — | 4 | 1 | no | — |
| 803 | M16 | — | 4 | 2 | no | — |
| 804 | M16 | — | 4 | 2 | no | — |
| 805 | M16 | — | 4 | 1 | no | — |
| 806 | M16 | — | 4 | 1 | no | — |
| 807 | M16 | — | 8 | 1 | no | — |
| 808 | M16 | — | 16 | 4 | no | — |
| 809 | M16 | — | 16 | 2 | no | — |
| 810 | M16 | — | 16 | 2 | no | — |
| 811 | M16 | — | 32 | 2 | no | — |
| 812 | M16 | — | 32 | 2 | no | — |
| 813 | M16 | — | 32 | 2 | no | — |
| 814 | C2×C8 | — | 2 | 2 | no | — |
| 815 | C2×C8 | — | 2 | 1 | no | — |
| 816 | C2×C8 | — | 2 | 2 | no | — |
| 817 | C2×C8 | — | 2 | 1 | no | — |
| 818 | C2×C8 | — | 2 | 1 | no | — |
| 819 | C2×C8 | — | 2 | 1 | no | — |
| 820 | C2×C8 | — | 2 | 1 | no | — |
| 821 | C2×C8 | — | 2 | 1 | no | — |
| 822 | C2×C8 | — | 4 | 2 | no | — |
| 823 | C2×C8 | — | 4 | 1 | no | — |
| 824 | C2×C8 | — | 4 | 2 | no | — |
| 825 | C2×C8 | — | 4 | 1 | no | — |
| 826 | C2×C8 | — | 4 | 1 | no | — |
| 827 | C2×C8 | — | 4 | 1 | no | — |
| 828 | C2×C8 | — | 4 | 1 | no | — |
| 829 | C2×C8 | — | 4 | 1 | no | — |
| 830 | C2×C8 | — | 4 | 1 | no | — |
| 831 | C2×C8 | — | 8 | 1 | no | — |
| 832 | C2×C8 | — | 8 | 1 | no | — |
| 833 | C2×C8 | — | 8 | 1 | no | — |
| 834 | C2×C8 | — | 8 | 2 | no | — |
| 835 | C2×C8 | — | 8 | 2 | no | — |
| 836 | C2×C8 | — | 8 | 2 | no | — |
| 837 | C2×C8 | — | 8 | 2 | no | — |
| 838 | C2×C8 | — | 16 | 2 | no | — |
| 839 | C2×C8 | — | 16 | 2 | no | — |
| 840 | C2×C8 | — | 16 | 2 | no | — |
| 841 | C2×C8 | — | 32 | 1 | no | — |
| 842 | C2×C8 | — | 32 | 1 | no | — |
| 843 | C2×C8 | — | 32 | 2 | no | — |
| 844 | C2×C8 | — | 32 | 2 | no | — |
| 845 | C2×C8 | C22⋊#95 | 1 | 1 | yes | characteristic |
| 846 | C2×C8 | #1736 | 1 | 1 | yes | characteristic |
| 847 | C2×C8 | #1787 | 1 | 1 | yes | characteristic |
| 848 | C2×C8 | #1824 | 1 | 1 | yes | characteristic |
| 849 | C2×C8 | #1853 | 1 | 2 | yes | — |
| 850 | C2×C8 | #1872 | 1 | 2 | yes | — |
| 851 | C4⋊C4 | — | 2 | 2 | no | — |
| 852 | C4⋊C4 | — | 2 | 2 | no | — |
| 853 | C4⋊C4 | — | 2 | 2 | no | — |
| 854 | C4⋊C4 | — | 2 | 2 | no | — |
| 855 | C4⋊C4 | — | 2 | 2 | no | — |
| 856 | C4⋊C4 | — | 2 | 1 | no | — |
| 857 | C4⋊C4 | — | 2 | 1 | no | — |
| 858 | C4⋊C4 | — | 2 | 2 | no | — |
| 859 | C4⋊C4 | — | 2 | 2 | no | — |
| 860 | C4⋊C4 | — | 2 | 2 | no | — |
| 861 | C4⋊C4 | — | 16 | 2 | no | — |
| 862 | C22⋊C4 | — | 2 | 2 | no | — |
| 863 | C22⋊C4 | — | 2 | 2 | no | — |
| 864 | C22⋊C4 | — | 2 | 2 | no | — |
| 865 | C22⋊C4 | — | 2 | 1 | no | — |
| 866 | C22⋊C4 | — | 2 | 2 | no | — |
| 867 | C22⋊C4 | — | 2 | 2 | no | — |
| 868 | C22⋊C4 | — | 2 | 2 | no | — |
| 869 | C22⋊C4 | — | 2 | 2 | no | — |
| 870 | C22⋊C4 | — | 2 | 2 | no | — |
| 871 | C22⋊C4 | — | 16 | 2 | no | — |
| 872 | C22⋊C4 | #1386 | 1 | 2 | yes | — |
| 873 | C42 | — | 2 | 2 | no | — |
| 874 | C42 | — | 2 | 1 | no | — |
| 875 | C42 | — | 2 | 1 | no | — |
| 876 | C42 | — | 2 | 1 | no | — |
| 877 | C42 | — | 2 | 1 | no | — |
| 878 | C42 | — | 2 | 1 | no | — |
| 879 | C42 | — | 2 | 2 | no | — |
| 880 | C42 | — | 2 | 1 | no | — |
| 881 | C42 | — | 2 | 1 | no | — |
| 882 | C42 | — | 16 | 2 | no | — |
| 883 | C42 | #1386 | 1 | 1 | yes | characteristic |
| 884 | C42 | #1386 | 1 | 1 | yes | characteristic |
| 885 | C42 | #1786 | 1 | 1 | yes | characteristic |
| 886 | C42 | #1823 | 1 | 1 | yes | characteristic |
| 887 | C42 | #1852 | 1 | 2 | yes | — |
| 888 | C16 | — | 2 | 1 | no | — |
| 889 | C16 | — | 2 | 2 | no | — |
| 890 | C16 | — | 2 | 1 | no | — |
| 891 | C16 | — | 2 | 2 | no | — |
| 892 | C16 | — | 4 | 1 | no | — |
| 893 | C16 | — | 4 | 1 | no | — |
| 894 | C16 | — | 4 | 1 | no | — |
| 895 | C16 | — | 4 | 1 | no | — |
| 896 | C16 | #1868 | 1 | 2 | yes | — |
| 897 | C16 | #1884 | 1 | 2 | yes | — |
| 898 | C23 | — | 2 | 1 | no | — |
| 899 | C23 | — | 2 | 1 | no | — |
| 900 | C23 | — | 4 | 1 | no | — |
| 901 | C23 | — | 4 | 2 | no | — |
| 902 | C23 | C2×#1386 | 1 | 1 | yes | characteristic |
| 903 | C23 | #13001 | 1 | 2 | yes | — |
| 904 | Q8 | — | 4 | 1 | no | — |
| 905 | Q8 | — | 4 | 1 | no | — |
| 906 | Q8 | — | 8 | 2 | no | — |
| 907 | D4 | — | 4 | 2 | no | — |
| 908 | D4 | — | 4 | 1 | no | — |
| 909 | D4 | — | 4 | 1 | no | — |
| 910 | D4 | — | 4 | 4 | no | — |
| 911 | D4 | — | 4 | 4 | no | — |
| 912 | D4 | — | 8 | 1 | no | — |
| 913 | D4 | — | 8 | 2 | no | — |
| 914 | C2×C4 | — | 2 | 2 | no | — |
| 915 | C2×C4 | — | 2 | 1 | no | — |
| 916 | C2×C4 | — | 2 | 2 | no | — |
| 917 | C2×C4 | — | 2 | 1 | no | — |
| 918 | C2×C4 | — | 2 | 1 | no | — |
| 919 | C2×C4 | — | 2 | 1 | no | — |
| 920 | C2×C4 | — | 2 | 1 | no | — |
| 921 | C2×C4 | — | 2 | 1 | no | — |
| 922 | C2×C4 | — | 2 | 1 | no | — |
| 923 | C2×C4 | — | 2 | 1 | no | — |
| 924 | C2×C4 | — | 2 | 2 | no | — |
| 925 | C2×C4 | — | 2 | 2 | no | — |
| 926 | C2×C4 | — | 4 | 2 | no | — |
| 927 | C2×C4 | — | 4 | 2 | no | — |
| 928 | C2×C4 | — | 4 | 1 | no | — |
| 929 | C2×C4 | — | 4 | 1 | no | — |
| 930 | C2×C4 | — | 4 | 1 | no | — |
| 931 | C2×C4 | — | 4 | 1 | no | — |
| 932 | C2×C4 | — | 4 | 1 | no | — |
| 933 | C2×C4 | — | 8 | 1 | no | — |
| 934 | C2×C4 | — | 8 | 1 | no | — |
| 935 | C2×C4 | — | 8 | 2 | no | — |
| 936 | C2×C4 | — | 8 | 2 | no | — |
| 937 | C2×C4 | — | 8 | 1 | no | — |
| 938 | C2×C4 | — | 8 | 1 | no | — |
| 939 | C2×C4 | — | 8 | 1 | no | — |
| 940 | C2×C4 | — | 32 | 2 | no | — |
| 941 | C2×C4 | #10730 | 1 | 1 | yes | characteristic |
| 942 | C2×C4 | C2×#1386 | 1 | 1 | yes | characteristic |
| 943 | C2×C4 | #13001 | 1 | 2 | yes | — |
| 944 | C8 | — | 2 | 1 | no | — |
| 945 | C8 | — | 2 | 1 | no | — |
| 946 | C8 | — | 2 | 2 | no | — |
| 947 | C8 | — | 2 | 1 | no | — |
| 948 | C8 | — | 2 | 2 | no | — |
| 949 | C8 | — | 4 | 1 | no | — |
| 950 | C8 | — | 4 | 1 | no | — |
| 951 | C8 | — | 4 | 1 | no | — |
| 952 | C8 | — | 4 | 1 | no | — |
| 953 | C8 | — | 16 | 2 | no | — |
| 954 | C8 | — | 16 | 2 | no | — |
| 955 | C8 | — | 16 | 2 | no | — |
| 956 | C8 | — | 16 | 2 | no | — |
| 957 | C8 | — | 32 | 2 | no | — |
| 958 | C8 | #10748 | 1 | 1 | yes | characteristic |
| 959 | C8 | #10751 | 1 | 1 | yes | characteristic |
| 960 | C22 | — | 2 | 2 | no | — |
| 961 | C22 | — | 2 | 1 | no | — |
| 962 | C22 | — | 2 | 2 | no | — |
| 963 | C22 | — | 4 | 1 | no | — |
| 964 | C22 | — | 4 | 2 | no | — |
| 965 | C22 | — | 4 | 1 | no | — |
| 966 | C22 | — | 4 | 2 | no | — |
| 967 | C22 | — | 4 | 2 | no | — |
| 968 | C22 | — | 4 | 1 | no | — |
| 969 | C22 | — | 4 | 1 | no | — |
| 970 | C22 | — | 8 | 1 | no | — |
| 971 | C22 | #146513 | 1 | 1 | yes | characteristic |
| 972 | C4 | — | 2 | 2 | no | — |
| 973 | C4 | — | 2 | 1 | no | — |
| 974 | C4 | — | 4 | 1 | no | — |
| 975 | C4 | — | 4 | 1 | no | — |
| 976 | C4 | — | 4 | 1 | no | — |
| 977 | C4 | — | 4 | 1 | no | — |
| 978 | C4 | — | 4 | 2 | no | — |
| 979 | C4 | — | 4 | 2 | no | — |
| 980 | C4 | — | 4 | 1 | no | — |
| 981 | C4 | — | 4 | 1 | no | — |
| 982 | C4 | — | 64 | 2 | no | — |
| 983 | C4 | #106620 | 1 | 1 | yes | characteristic |
| 984 | C4 | #146544 | 1 | 1 | yes | characteristic |
| 985 | C2 | — | 2 | 1 | no | — |
| 986 | C2 | — | 4 | 2 | no | — |
| 987 | C2 | — | 4 | 2 | no | — |
| 988 | C2 | — | 4 | 1 | no | — |
| 989 | C2 | — | 8 | 1 | no | — |
| 990 | C2 | #72318976 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72318976 |
| commutator | C2×M32 | C2×C42 |
| Frattini, cosocle | #33326 | C23 |
| prime radical | #3444 | D8 |
| LCS | G ▷ C2×M32 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ C4×#131 ◁ #7622660 ◁ G | |
| LECS | G ▷ #33326 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #72286111 | C2 | semidirect |
| 4. #72225025 | C2 | semidirect |
| 17. #483449 | C4 | semidirect |
| 18. #483446 | C4 | semidirect |
| 19. #483444 | C4 | semidirect |
| 23. #153003 | C4 | semidirect |
| 24. #152886 | C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72287368 | 2 |
| #72287291 | 2 |
| #72286111 | 2 |
| #72225025 | 2 |
| #72217181 | 2 |