Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
1934 conjugacy classes of subgroups.
The subgroup lattice has 884 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72225479 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72225460 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72225445 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72225439 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72225431 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72225418 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #72225390 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #72225226 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72216228 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #6383885 | C22 | 1 | 1 | yes | characteristic |
| 11 | #498550 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | #497829 | C22 | 1 | 2 | yes | — |
| 13 | #495835 | C22 | 1 | 2 | yes | — |
| 14 | #488869 | C4 | 1 | 1 | yes | characteristic |
| 15 | #483600 | — | 2 | 2 | no | — |
| 16 | #481073 | — | 2 | 2 | no | — |
| 17 | #213237 | C22 | 1 | 1 | yes | characteristic |
| 18 | #184013 | C22 | 1 | 2 | yes | — |
| 19 | #140841 | C22 | 1 | 2 | yes | — |
| 20 | #140533 | C22 | 1 | 2 | yes | — |
| 21 | #140533 | C22 | 1 | 2 | yes | complemented |
| 22 | #140393 | C22 | 1 | 2 | yes | complemented |
| 23 | #140192 | — | 2 | 2 | no | — |
| 24 | #137627 | — | 2 | 2 | no | — |
| 25 | #137550 | C4 | 1 | 1 | yes | characteristic |
| 26 | #136867 | C4 | 1 | 2 | yes | — |
| 27 | #136682 | — | 2 | 2 | no | — |
| 28 | #136601 | — | 2 | 2 | no | — |
| 29 | #136490 | C4 | 1 | 1 | yes | characteristic |
| 30 | #136326 | C4 | 1 | 2 | yes | — |
| 31 | #135912 | — | 2 | 2 | no | — |
| 32 | #135713 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #134373 | C22 | 1 | 2 | yes | — |
| 34 | #131834 | C4 | 1 | 1 | yes | characteristic |
| 35 | #129526 | — | 2 | 2 | no | — |
| 36 | #129055 | C22 | 1 | 2 | yes | complemented |
| 37 | #128897 | C22 | 1 | 1 | yes | characteristic |
| 38 | C4×#1336 | C22 | 1 | 2 | yes | — |
| 39 | C4×#1335 | C22 | 1 | 2 | yes | — |
| 40 | #124213 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #94857 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #93448 | C22 | 1 | 2 | yes | complemented |
| 43 | #93266 | C22 | 1 | 2 | yes | complemented |
| 44 | #93264 | C22 | 1 | 2 | yes | complemented |
| 45 | #61105 | C2×C4 | 1 | 1 | yes | characteristic |
| 46 | #60183 | — | 2 | 2 | no | — |
| 47 | #33594 | C2×C4 | 1 | 2 | yes | — |
| 48 | #33463 | — | 2 | 2 | no | — |
| 49 | #33443 | — | 2 | 2 | no | — |
| 50 | #33443 | — | 2 | 2 | no | — |
| 51 | #33401 | — | 2 | 2 | no | — |
| 52 | #23196 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | #23042 | — | 2 | 2 | no | — |
| 54 | #22899 | — | 4 | 1 | no | — |
| 55 | #22694 | C2×C4 | 1 | 2 | yes | — |
| 56 | #22462 | — | 2 | 2 | no | — |
| 57 | #21705 | C23 | 1 | 1 | yes | characteristic |
| 58 | #21705 | C23 | 1 | 1 | yes | characteristic |
| 59 | #21558 | — | 2 | 2 | no | — |
| 60 | #21477 | — | 4 | 1 | no | — |
| 61 | C4×#443 | C23 | 1 | 2 | yes | — |
| 62 | #19603 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | #17956 | — | 4 | 1 | no | — |
| 64 | #17849 | — | 2 | 2 | no | — |
| 65 | #17316 | — | 2 | 2 | no | — |
| 66 | #13259 | C2×C4 | 1 | 2 | yes | — |
| 67 | #13197 | — | 2 | 2 | no | — |
| 68 | #13182 | C2×C4 | 1 | 2 | yes | — |
| 69 | #13164 | — | 2 | 2 | no | — |
| 70 | #13137 | — | 2 | 2 | no | — |
| 71 | #13027 | — | 2 | 2 | no | — |
| 72 | #12982 | — | 4 | 1 | no | — |
| 73 | #12918 | — | 4 | 2 | no | — |
| 74 | #12900 | C23 | 1 | 2 | yes | — |
| 75 | #12822 | C2×C4 | 1 | 2 | yes | — |
| 76 | #12792 | — | 2 | 2 | no | — |
| 77 | C4×#364 | C23 | 1 | 2 | yes | — |
| 78 | C4×#364 | C23 | 1 | 2 | yes | — |
| 79 | #12646 | — | 2 | 2 | no | — |
| 80 | #12313 | C8 | 1 | 2 | yes | complemented |
| 81 | #12312 | C8 | 1 | 2 | yes | complemented |
| 82 | #12311 | C8 | 1 | 2 | yes | complemented |
| 83 | #12310 | C8 | 1 | 2 | yes | complemented |
| 84 | #12068 | — | 4 | 8 | no | — |
| 85 | #12002 | — | 2 | 2 | no | — |
| 86 | #11996 | — | 4 | 1 | no | — |
| 87 | #11922 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | #11920 | C2×C4 | 1 | 1 | yes | characteristic |
| 89 | #11604 | — | 2 | 2 | no | — |
| 90 | #11604 | — | 2 | 2 | no | — |
| 91 | #11604 | — | 4 | 4 | no | — |
| 92 | C2×#1336 | — | 2 | 2 | no | — |
| 93 | C2×#1336 | — | 2 | 2 | no | — |
| 94 | C2×#1336 | — | 2 | 2 | no | — |
| 95 | C2×#1336 | — | 2 | 2 | no | — |
| 96 | C2×#1336 | — | 4 | 4 | no | — |
| 97 | C2×#1336 | D4 | 1 | 2 | yes | — |
| 98 | C2×#1336 | D4 | 1 | 2 | yes | — |
| 99 | #11602 | — | 2 | 2 | no | — |
| 100 | C2×#1335 | C2×C4 | 1 | 2 | yes | — |
| 101 | C2×#1335 | C2×C4 | 1 | 2 | yes | — |
| 102 | #11404 | — | 2 | 2 | no | — |
| 103 | #9856 | C2×C4 | 1 | 1 | yes | characteristic |
| 104 | #9856 | C2×C4 | 1 | 1 | yes | characteristic |
| 105 | #9844 | — | 4 | 1 | no | — |
| 106 | #8823 | C2×C4 | 1 | 1 | yes | characteristic |
| 107 | #8294 | — | 2 | 2 | no | — |
| 108 | #8266 | C23 | 1 | 2 | yes | — |
| 109 | C8×#104 | — | 4 | 2 | no | — |
| 110 | #8185 | — | 2 | 2 | no | — |
| 111 | C4×#322 | — | 4 | 1 | no | — |
| 112 | C4×#322 | C23 | 1 | 2 | yes | — |
| 113 | C4×C82 | C23 | 1 | 1 | yes | characteristic |
| 114 | #7270 | C2×C4 | 1 | 2 | yes | — |
| 115 | #7182 | D4 | 1 | 2 | yes | — |
| 116 | #7182 | D4 | 1 | 2 | yes | — |
| 117 | #7180 | — | 2 | 2 | no | — |
| 118 | #7179 | C2×C4 | 1 | 2 | yes | — |
| 119 | #7179 | C2×C4 | 1 | 2 | yes | — |
| 120 | #7162 | — | 2 | 2 | no | — |
| 121 | #7139 | — | 2 | 2 | no | — |
| 122 | #7106 | — | 4 | 1 | no | — |
| 123 | #3584 | — | 2 | 2 | no | — |
| 124 | #3573 | — | 4 | 1 | no | — |
| 125 | #3414 | — | 2 | 2 | no | — |
| 126 | #3407 | — | 4 | 2 | no | — |
| 127 | #3407 | — | 4 | 1 | no | — |
| 128 | #3293 | C2×C8 | 1 | 2 | yes | — |
| 129 | #3292 | C2×C8 | 1 | 2 | yes | — |
| 130 | #3291 | — | 4 | 1 | no | — |
| 131 | #3290 | — | 2 | 4 | no | — |
| 132 | #3169 | — | 4 | 1 | no | — |
| 133 | #3147 | C22×C4 | 1 | 1 | yes | characteristic |
| 134 | #3147 | C22×C4 | 1 | 1 | yes | characteristic |
| 135 | #3067 | — | 2 | 2 | no | — |
| 136 | #3018 | — | 4 | 1 | no | — |
| 137 | C8×#41 | — | 4 | 2 | no | — |
| 138 | #2957 | — | 2 | 2 | no | — |
| 139 | #2957 | — | 2 | 2 | no | — |
| 140 | #2957 | — | 4 | 4 | no | — |
| 141 | #2956 | — | 4 | 2 | no | — |
| 142 | #2956 | — | 8 | 2 | no | — |
| 143 | #2955 | — | 4 | 2 | no | — |
| 144 | #2955 | — | 8 | 2 | no | — |
| 145 | C2×#443 | — | 2 | 2 | no | — |
| 146 | C2×#443 | — | 2 | 2 | no | — |
| 147 | C2×#443 | — | 4 | 4 | no | — |
| 148 | C2×#443 | C22×C4 | 1 | 2 | yes | — |
| 149 | C2×#443 | C2×D4 | 1 | 2 | yes | — |
| 150 | C4×#135 | #41 | 1 | 2 | yes | — |
| 151 | #2931 | — | 2 | 1 | no | — |
| 152 | #2931 | — | 2 | 1 | no | — |
| 153 | #2916 | — | 2 | 2 | no | — |
| 154 | #2901 | — | 4 | 2 | no | — |
| 155 | C4×#131 | — | 2 | 2 | no | — |
| 156 | #2214 | C2×C8 | 1 | 4 | yes | complemented |
| 157 | #2213 | C2×C8 | 1 | 4 | yes | complemented |
| 158 | #2212 | — | 2 | 4 | no | — |
| 159 | #2179 | — | 4 | 4 | no | — |
| 160 | #2178 | — | 4 | 4 | no | — |
| 161 | #2171 | — | 4 | 4 | no | — |
| 162 | #2171 | — | 4 | 4 | no | — |
| 163 | #2170 | — | 8 | 2 | no | — |
| 164 | #2170 | — | 8 | 2 | no | — |
| 165 | #2161 | — | 2 | 2 | no | — |
| 166 | #2153 | — | 4 | 2 | no | — |
| 167 | #2153 | — | 8 | 2 | no | — |
| 168 | C2×#364 | — | 2 | 2 | no | — |
| 169 | C2×#364 | — | 2 | 2 | no | — |
| 170 | C2×#364 | — | 4 | 4 | no | — |
| 171 | C2×#364 | C22×C4 | 1 | 2 | yes | — |
| 172 | C2×#364 | C22×C4 | 1 | 2 | yes | — |
| 173 | C2×#364 | C2×D4 | 1 | 2 | yes | — |
| 174 | C2×#364 | C2×D4 | 1 | 2 | yes | — |
| 175 | #2150 | — | 2 | 2 | no | — |
| 176 | #2148 | — | 2 | 2 | no | — |
| 177 | #2145 | — | 2 | 2 | no | — |
| 178 | #2143 | — | 2 | 2 | no | — |
| 179 | #2143 | — | 2 | 2 | no | — |
| 180 | #2117 | — | 4 | 2 | no | — |
| 181 | #2117 | — | 4 | 2 | no | — |
| 182 | #2115 | — | 4 | 1 | no | — |
| 183 | C4×M32 | — | 2 | 2 | no | — |
| 184 | C4×M32 | — | 2 | 2 | no | — |
| 185 | #1976 | — | 2 | 2 | no | — |
| 186 | #1974 | — | 2 | 2 | no | — |
| 187 | #1974 | — | 2 | 2 | no | — |
| 188 | #1962 | — | 2 | 1 | no | — |
| 189 | #1962 | — | 2 | 1 | no | — |
| 190 | #1953 | — | 2 | 2 | no | — |
| 191 | #1932 | — | 4 | 2 | no | — |
| 192 | #1906 | — | 4 | 2 | no | — |
| 193 | #1884 | — | 4 | 1 | no | — |
| 194 | #1881 | — | 4 | 2 | no | — |
| 195 | #1861 | — | 4 | 2 | no | — |
| 196 | #1858 | — | 4 | 1 | no | — |
| 197 | #1848 | C22×C4 | 1 | 1 | yes | characteristic |
| 198 | #1848 | C22×C4 | 1 | 1 | yes | characteristic |
| 199 | #1814 | — | 2 | 2 | no | — |
| 200 | #1794 | — | 4 | 1 | no | — |
| 201 | C4×#108 | #41 | 1 | 2 | yes | — |
| 202 | #1772 | C22×C4 | 1 | 2 | yes | — |
| 203 | #1772 | C2×D4 | 1 | 2 | yes | — |
| 204 | #1764 | — | 2 | 2 | no | — |
| 205 | #1764 | — | 2 | 2 | no | — |
| 206 | C4×#104 | — | 2 | 2 | no | — |
| 207 | #1757 | — | 4 | 1 | no | — |
| 208 | C42×C8 | — | 2 | 1 | no | — |
| 209 | C42×C8 | — | 2 | 2 | no | — |
| 210 | C42×C8 | C24 | 1 | 1 | yes | characteristic |
| 211 | #1713 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 212 | #1712 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 213 | #1709 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 214 | #1709 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 215 | #1706 | — | 4 | 1 | no | — |
| 216 | #1589 | — | 8 | 2 | no | — |
| 217 | #1580 | — | 4 | 2 | no | — |
| 218 | #1579 | — | 4 | 2 | no | — |
| 219 | SD16⋊C8 | — | 4 | 4 | no | — |
| 220 | C8×D8 | — | 8 | 2 | no | — |
| 221 | #1567 | — | 4 | 1 | no | — |
| 222 | #1564 | — | 2 | 2 | no | — |
| 223 | #1492 | — | 4 | 1 | no | — |
| 224 | #1492 | — | 4 | 1 | no | — |
| 225 | #1476 | — | 4 | 2 | no | — |
| 226 | #1450 | — | 2 | 2 | no | — |
| 227 | #1450 | — | 4 | 2 | no | — |
| 228 | C8×M16 | — | 4 | 2 | no | — |
| 229 | C8×M16 | — | 8 | 2 | no | — |
| 230 | C2×#322 | — | 2 | 2 | no | — |
| 231 | C2×#322 | — | 4 | 2 | no | — |
| 232 | C2×#322 | — | 4 | 4 | no | — |
| 233 | C2×#322 | C2×D4 | 1 | 2 | yes | — |
| 234 | C2×#322 | C2×D4 | 1 | 2 | yes | — |
| 235 | C2×C82 | — | 2 | 1 | no | — |
| 236 | C2×C82 | C22×C4 | 1 | 1 | yes | characteristic |
| 237 | C2×C82 | C22×C4 | 1 | 1 | yes | characteristic |
| 238 | #1389 | — | 2 | 2 | no | — |
| 239 | #1388 | — | 2 | 2 | no | — |
| 240 | #1378 | — | 4 | 2 | no | — |
| 241 | #1376 | — | 2 | 2 | no | — |
| 242 | #1376 | — | 2 | 2 | no | — |
| 243 | #1369 | — | 4 | 4 | no | — |
| 244 | #1367 | — | 8 | 2 | no | — |
| 245 | #1359 | — | 4 | 1 | no | — |
| 246 | #1358 | C2×C8 | 1 | 2 | yes | complemented |
| 247 | #1357 | C2×C8 | 1 | 2 | yes | complemented |
| 248 | #1336 | — | 2 | 4 | no | — |
| 249 | #1336 | — | 2 | 4 | no | — |
| 250 | #1336 | — | 4 | 4 | no | — |
| 251 | #1336 | — | 4 | 2 | no | — |
| 252 | #1336 | — | 4 | 2 | no | — |
| 253 | #1336 | — | 4 | 4 | no | — |
| 254 | #1336 | — | 4 | 4 | no | — |
| 255 | #1336 | — | 8 | 2 | no | — |
| 256 | #1336 | — | 8 | 2 | no | — |
| 257 | #1335 | — | 2 | 4 | no | — |
| 258 | #1335 | — | 8 | 2 | no | — |
| 259 | #1335 | C2×C8 | 1 | 4 | yes | complemented |
| 260 | #1335 | C2×C8 | 1 | 4 | yes | complemented |
| 261 | #1313 | — | 4 | 4 | no | — |
| 262 | #1278 | — | 4 | 2 | no | — |
| 263 | #1276 | — | 2 | 2 | no | — |
| 264 | #585 | — | 4 | 1 | no | — |
| 265 | #578 | — | 2 | 4 | no | — |
| 266 | #578 | — | 4 | 2 | no | — |
| 267 | #577 | — | 4 | 4 | no | — |
| 268 | #577 | — | 8 | 2 | no | — |
| 269 | #576 | — | 2 | 4 | no | — |
| 270 | #576 | — | 4 | 2 | no | — |
| 271 | #575 | — | 4 | 2 | no | — |
| 272 | #575 | — | 8 | 2 | no | — |
| 273 | C2×#135 | — | 2 | 2 | no | — |
| 274 | C2×#135 | — | 2 | 2 | no | — |
| 275 | C2×#135 | — | 4 | 4 | no | — |
| 276 | C2×#135 | C4×D4 | 1 | 2 | yes | — |
| 277 | #568 | — | 4 | 1 | no | — |
| 278 | #568 | — | 4 | 2 | no | — |
| 279 | #568 | — | 8 | 4 | no | — |
| 280 | #568 | — | 16 | 1 | no | — |
| 281 | C2×#131 | — | 2 | 2 | no | — |
| 282 | C2×#131 | — | 2 | 2 | no | — |
| 283 | C2×#131 | — | 4 | 1 | no | — |
| 284 | C2×#131 | — | 4 | 1 | no | — |
| 285 | C2×#131 | — | 8 | 4 | no | — |
| 286 | C2×#131 | — | 16 | 1 | no | — |
| 287 | #532 | — | 2 | 1 | no | — |
| 288 | #532 | — | 2 | 1 | no | — |
| 289 | C4×#41 | — | 2 | 2 | no | — |
| 290 | #510 | — | 2 | 4 | no | — |
| 291 | #510 | — | 4 | 2 | no | — |
| 292 | #509 | — | 2 | 4 | no | — |
| 293 | #509 | — | 4 | 2 | no | — |
| 294 | #508 | — | 4 | 4 | no | — |
| 295 | #504 | — | 8 | 4 | no | — |
| 296 | #504 | — | 8 | 4 | no | — |
| 297 | #504 | — | 16 | 2 | no | — |
| 298 | C2×M32 | — | 2 | 2 | no | — |
| 299 | C2×M32 | — | 2 | 2 | no | — |
| 300 | C2×M32 | — | 2 | 2 | no | — |
| 301 | C2×M32 | — | 2 | 2 | no | — |
| 302 | C2×M32 | — | 4 | 2 | no | — |
| 303 | C2×M32 | — | 8 | 4 | no | — |
| 304 | C2×M32 | — | 16 | 1 | no | — |
| 305 | #500 | — | 4 | 1 | no | — |
| 306 | #495 | — | 2 | 2 | no | — |
| 307 | #495 | — | 2 | 2 | no | — |
| 308 | #494 | C22×C8 | 1 | 1 | yes | characteristic |
| 309 | #494 | C22×C8 | 1 | 1 | yes | characteristic |
| 310 | #493 | — | 4 | 1 | no | — |
| 311 | #493 | C22×C8 | 1 | 1 | yes | characteristic |
| 312 | #493 | C22×C8 | 1 | 1 | yes | characteristic |
| 313 | #492 | — | 2 | 1 | no | — |
| 314 | #492 | — | 2 | 1 | no | — |
| 315 | #486 | — | 4 | 1 | no | — |
| 316 | #486 | — | 4 | 1 | no | — |
| 317 | #473 | — | 2 | 4 | no | — |
| 318 | #472 | — | 2 | 4 | no | — |
| 319 | #471 | — | 4 | 4 | no | — |
| 320 | #466 | — | 8 | 2 | no | — |
| 321 | #456 | — | 4 | 2 | no | — |
| 322 | #455 | — | 4 | 2 | no | — |
| 323 | #454 | — | 4 | 2 | no | — |
| 324 | #453 | — | 4 | 2 | no | — |
| 325 | C8×Q8 | — | 4 | 4 | no | — |
| 326 | #444 | — | 8 | 4 | no | — |
| 327 | #444 | — | 8 | 2 | no | — |
| 328 | #444 | — | 8 | 2 | no | — |
| 329 | #444 | — | 8 | 4 | no | — |
| 330 | #443 | — | 2 | 2 | no | — |
| 331 | #443 | — | 2 | 2 | no | — |
| 332 | #443 | — | 2 | 2 | no | — |
| 333 | #443 | — | 2 | 2 | no | — |
| 334 | #443 | — | 4 | 4 | no | — |
| 335 | #443 | — | 4 | 4 | no | — |
| 336 | #443 | — | 4 | 2 | no | — |
| 337 | #443 | — | 4 | 2 | no | — |
| 338 | #443 | — | 4 | 2 | no | — |
| 339 | #443 | — | 4 | 2 | no | — |
| 340 | #443 | — | 4 | 2 | no | — |
| 341 | #443 | — | 4 | 2 | no | — |
| 342 | #443 | — | 4 | 2 | no | — |
| 343 | #443 | — | 4 | 2 | no | — |
| 344 | #443 | — | 8 | 4 | no | — |
| 345 | #443 | — | 8 | 4 | no | — |
| 346 | #443 | C22×C8 | 1 | 4 | yes | — |
| 347 | #443 | #131 | 1 | 4 | yes | — |
| 348 | #443 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 349 | #443 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 350 | C4×Q16 | — | 2 | 2 | no | — |
| 351 | C4×SD16 | — | 4 | 2 | no | — |
| 352 | C4×D8 | — | 2 | 2 | no | — |
| 353 | C4×D8 | — | 8 | 2 | no | — |
| 354 | #436 | — | 8 | 1 | no | — |
| 355 | #436 | — | 8 | 1 | no | — |
| 356 | C8×D4 | — | 4 | 4 | no | — |
| 357 | C8×D4 | — | 8 | 1 | no | — |
| 358 | C8×D4 | — | 8 | 1 | no | — |
| 359 | C8×D4 | — | 8 | 4 | no | — |
| 360 | #431 | — | 4 | 2 | no | — |
| 361 | #431 | — | 8 | 2 | no | — |
| 362 | #430 | — | 4 | 2 | no | — |
| 363 | #430 | — | 8 | 2 | no | — |
| 364 | C2×#108 | — | 2 | 2 | no | — |
| 365 | C2×#108 | — | 2 | 2 | no | — |
| 366 | C2×#108 | — | 4 | 4 | no | — |
| 367 | C2×#108 | C4×D4 | 1 | 2 | yes | — |
| 368 | C2×#108 | C4×D4 | 1 | 2 | yes | — |
| 369 | #427 | C4×D4 | 1 | 2 | yes | — |
| 370 | #423 | — | 2 | 1 | no | — |
| 371 | #423 | — | 2 | 1 | no | — |
| 372 | #421 | — | 4 | 2 | no | — |
| 373 | #421 | — | 4 | 2 | no | — |
| 374 | #421 | — | 8 | 4 | no | — |
| 375 | C2×#104 | — | 2 | 2 | no | — |
| 376 | C2×#104 | — | 2 | 2 | no | — |
| 377 | C2×#104 | — | 4 | 2 | no | — |
| 378 | C2×#104 | — | 4 | 2 | no | — |
| 379 | C2×#104 | — | 8 | 4 | no | — |
| 380 | #416 | — | 2 | 2 | no | — |
| 381 | #413 | — | 4 | 1 | no | — |
| 382 | #410 | — | 4 | 1 | no | — |
| 383 | #408 | — | 4 | 1 | no | — |
| 384 | #408 | — | 4 | 1 | no | — |
| 385 | #405 | — | 2 | 2 | no | — |
| 386 | #405 | — | 2 | 2 | no | — |
| 387 | #405 | — | 4 | 2 | no | — |
| 388 | #405 | — | 4 | 2 | no | — |
| 389 | C4×M16 | — | 2 | 2 | no | — |
| 390 | C4×M16 | — | 4 | 2 | no | — |
| 391 | C2×C4×C8 | — | 2 | 1 | no | — |
| 392 | C2×C4×C8 | — | 2 | 1 | no | — |
| 393 | C2×C4×C8 | — | 2 | 2 | no | — |
| 394 | C2×C4×C8 | — | 2 | 2 | no | — |
| 395 | C2×C4×C8 | — | 4 | 2 | no | — |
| 396 | C2×C4×C8 | — | 4 | 2 | no | — |
| 397 | C2×C4×C8 | — | 4 | 4 | no | — |
| 398 | C2×C4×C8 | — | 8 | 2 | no | — |
| 399 | C2×C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 400 | C2×C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 401 | C2×C4×C8 | C2×#41 | 1 | 2 | yes | — |
| 402 | C2×C4×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 403 | C43 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 404 | #368 | — | 4 | 4 | no | — |
| 405 | #364 | — | 2 | 2 | no | — |
| 406 | #364 | — | 2 | 2 | no | — |
| 407 | #364 | — | 2 | 2 | no | — |
| 408 | #364 | — | 2 | 2 | no | — |
| 409 | #364 | — | 2 | 2 | no | — |
| 410 | #364 | — | 2 | 2 | no | — |
| 411 | #364 | — | 2 | 2 | no | — |
| 412 | #364 | — | 4 | 2 | no | — |
| 413 | #364 | — | 4 | 2 | no | — |
| 414 | #364 | — | 4 | 2 | no | — |
| 415 | #364 | — | 4 | 2 | no | — |
| 416 | #364 | — | 8 | 4 | no | — |
| 417 | #364 | C22×C8 | 1 | 4 | yes | — |
| 418 | C4⋊C16 | — | 8 | 2 | no | — |
| 419 | #362 | — | 2 | 4 | no | — |
| 420 | #361 | — | 2 | 4 | no | — |
| 421 | #360 | — | 8 | 2 | no | — |
| 422 | #359 | — | 4 | 4 | no | — |
| 423 | #359 | — | 4 | 4 | no | — |
| 424 | #350 | — | 8 | 4 | no | — |
| 425 | #350 | — | 8 | 4 | no | — |
| 426 | #349 | — | 16 | 1 | no | — |
| 427 | #346 | — | 4 | 2 | no | — |
| 428 | #346 | — | 4 | 2 | no | — |
| 429 | C4×C16 | — | 4 | 2 | no | — |
| 430 | C4×C16 | — | 4 | 2 | no | — |
| 431 | #344 | — | 4 | 2 | no | — |
| 432 | #341 | — | 2 | 2 | no | — |
| 433 | #339 | — | 2 | 2 | no | — |
| 434 | #339 | — | 2 | 2 | no | — |
| 435 | #335 | — | 2 | 4 | no | — |
| 436 | #335 | — | 8 | 2 | no | — |
| 437 | #334 | — | 4 | 2 | no | — |
| 438 | Q8⋊C8 | — | 4 | 4 | no | — |
| 439 | D4⋊C8 | — | 4 | 4 | no | — |
| 440 | D4⋊C8 | — | 8 | 2 | no | — |
| 441 | D4⋊C8 | — | 8 | 2 | no | — |
| 442 | #322 | — | 2 | 2 | no | — |
| 443 | #322 | — | 2 | 2 | no | — |
| 444 | #322 | — | 2 | 2 | no | — |
| 445 | #322 | — | 2 | 2 | no | — |
| 446 | #322 | — | 4 | 2 | no | — |
| 447 | #322 | — | 4 | 2 | no | — |
| 448 | #322 | — | 4 | 2 | no | — |
| 449 | #322 | — | 8 | 2 | no | — |
| 450 | #322 | — | 8 | 8 | no | — |
| 451 | C82 | — | 2 | 2 | no | — |
| 452 | C82 | — | 2 | 2 | no | — |
| 453 | C82 | — | 2 | 1 | no | — |
| 454 | C82 | — | 2 | 2 | no | — |
| 455 | C82 | — | 4 | 2 | no | — |
| 456 | C82 | — | 8 | 2 | no | — |
| 457 | C82 | C22×C8 | 1 | 1 | yes | characteristic |
| 458 | C82 | C22×C8 | 1 | 1 | yes | characteristic |
| 459 | 2−1+4 | — | 4 | 2 | no | — |
| 460 | 2−1+4 | — | 8 | 2 | no | — |
| 461 | H(5,𝔽2) | — | 4 | 2 | no | — |
| 462 | H(5,𝔽2) | — | 8 | 2 | no | — |
| 463 | H(5,𝔽2) | — | 16 | 1 | no | — |
| 464 | C2×#41 | — | 2 | 2 | no | — |
| 465 | C2×#41 | — | 4 | 1 | no | — |
| 466 | C2×#41 | — | 4 | 1 | no | — |
| 467 | C2×#41 | — | 8 | 4 | no | — |
| 468 | C2×#41 | — | 16 | 1 | no | — |
| 469 | #137 | — | 4 | 4 | no | — |
| 470 | #137 | — | 8 | 4 | no | — |
| 471 | #137 | — | 8 | 4 | no | — |
| 472 | #137 | — | 8 | 2 | no | — |
| 473 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 474 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 475 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 476 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 477 | #135 | — | 2 | 2 | no | — |
| 478 | #135 | — | 2 | 2 | no | — |
| 479 | #135 | — | 4 | 4 | no | — |
| 480 | #135 | — | 4 | 4 | no | — |
| 481 | #135 | — | 4 | 2 | no | — |
| 482 | #135 | — | 4 | 2 | no | — |
| 483 | #135 | — | 4 | 2 | no | — |
| 484 | #135 | — | 4 | 2 | no | — |
| 485 | #135 | — | 4 | 2 | no | — |
| 486 | #135 | — | 4 | 2 | no | — |
| 487 | #135 | — | 4 | 2 | no | — |
| 488 | #135 | — | 4 | 2 | no | — |
| 489 | #135 | — | 8 | 4 | no | — |
| 490 | #135 | — | 8 | 4 | no | — |
| 491 | #135 | C8×D4 | 1 | 4 | yes | — |
| 492 | #135 | #442 | 1 | 4 | yes | — |
| 493 | C2×Q16 | — | 2 | 2 | no | — |
| 494 | C2×Q16 | — | 2 | 2 | no | — |
| 495 | C2×Q16 | — | 4 | 4 | no | — |
| 496 | C2×Q16 | #444 | 1 | 2 | yes | — |
| 497 | C2×SD16 | — | 2 | 2 | no | — |
| 498 | C2×SD16 | — | 4 | 2 | no | — |
| 499 | C2×SD16 | — | 4 | 2 | no | — |
| 500 | C2×SD16 | — | 8 | 4 | no | — |
| 501 | C2×D8 | — | 2 | 2 | no | — |
| 502 | C2×D8 | — | 2 | 2 | no | — |
| 503 | C2×D8 | — | 4 | 4 | no | — |
| 504 | C2×D8 | — | 8 | 2 | no | — |
| 505 | C2×D8 | #444 | 1 | 2 | yes | — |
| 506 | #131 | — | 2 | 4 | no | — |
| 507 | #131 | — | 2 | 4 | no | — |
| 508 | #131 | — | 2 | 4 | no | — |
| 509 | #131 | — | 2 | 4 | no | — |
| 510 | #131 | — | 4 | 2 | no | — |
| 511 | #131 | — | 4 | 2 | no | — |
| 512 | #131 | — | 4 | 2 | no | — |
| 513 | #131 | — | 4 | 2 | no | — |
| 514 | #131 | — | 8 | 4 | no | — |
| 515 | #131 | — | 8 | 4 | no | — |
| 516 | #131 | — | 8 | 2 | no | — |
| 517 | #131 | — | 8 | 2 | no | — |
| 518 | #131 | — | 8 | 2 | no | — |
| 519 | #131 | — | 8 | 2 | no | — |
| 520 | #131 | — | 16 | 2 | no | — |
| 521 | #131 | — | 16 | 4 | no | — |
| 522 | #131 | — | 16 | 2 | no | — |
| 523 | #131 | — | 16 | 2 | no | — |
| 524 | C2×M16 | — | 2 | 2 | no | — |
| 525 | C2×M16 | — | 2 | 2 | no | — |
| 526 | C2×M16 | — | 4 | 2 | no | — |
| 527 | C2×M16 | — | 4 | 2 | no | — |
| 528 | C2×M16 | — | 4 | 1 | no | — |
| 529 | C2×M16 | — | 4 | 1 | no | — |
| 530 | C2×M16 | — | 8 | 1 | no | — |
| 531 | C2×M16 | — | 8 | 1 | no | — |
| 532 | C2×M16 | — | 8 | 4 | no | — |
| 533 | C2×M16 | — | 16 | 4 | no | — |
| 534 | C2×M16 | — | 16 | 1 | no | — |
| 535 | C2×M16 | — | 16 | 2 | no | — |
| 536 | C22×C8 | — | 2 | 2 | no | — |
| 537 | C22×C8 | — | 2 | 4 | no | — |
| 538 | C22×C8 | — | 4 | 1 | no | — |
| 539 | C22×C8 | — | 4 | 2 | no | — |
| 540 | C22×C8 | — | 4 | 2 | no | — |
| 541 | C22×C8 | — | 4 | 2 | no | — |
| 542 | C22×C8 | — | 8 | 4 | no | — |
| 543 | C22×C8 | — | 8 | 1 | no | — |
| 544 | C22×C8 | — | 8 | 1 | no | — |
| 545 | C22×C8 | — | 16 | 2 | no | — |
| 546 | C22×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 547 | C22×C8 | D42 | 1 | 1 | yes | characteristic |
| 548 | C22×C8 | #551 | 1 | 1 | yes | characteristic |
| 549 | C4⋊Q8 | — | 2 | 1 | no | — |
| 550 | C4⋊Q8 | — | 2 | 1 | no | — |
| 551 | #127 | — | 2 | 1 | no | — |
| 552 | #127 | — | 2 | 1 | no | — |
| 553 | #124 | — | 4 | 1 | no | — |
| 554 | #124 | — | 4 | 1 | no | — |
| 555 | #121 | — | 8 | 1 | no | — |
| 556 | #121 | — | 8 | 1 | no | — |
| 557 | C4×Q8 | — | 4 | 2 | no | — |
| 558 | C4×D4 | — | 4 | 2 | no | — |
| 559 | C4×D4 | — | 8 | 1 | no | — |
| 560 | C4×D4 | — | 8 | 1 | no | — |
| 561 | C4×D4 | — | 8 | 2 | no | — |
| 562 | #117 | — | 2 | 2 | no | — |
| 563 | #117 | — | 4 | 2 | no | — |
| 564 | C2×C42 | — | 4 | 1 | no | — |
| 565 | C2×C42 | — | 4 | 2 | no | — |
| 566 | C2×C42 | #518 | 1 | 1 | yes | characteristic |
| 567 | C2×C42 | #546 | 1 | 2 | yes | — |
| 568 | Q32 | — | 4 | 4 | no | — |
| 569 | SD32 | — | 4 | 4 | no | — |
| 570 | SD32 | — | 4 | 4 | no | — |
| 571 | D16 | — | 4 | 4 | no | — |
| 572 | M32 | — | 2 | 4 | no | — |
| 573 | M32 | — | 4 | 2 | no | — |
| 574 | M32 | — | 4 | 2 | no | — |
| 575 | M32 | — | 4 | 2 | no | — |
| 576 | M32 | — | 4 | 2 | no | — |
| 577 | M32 | — | 4 | 2 | no | — |
| 578 | M32 | — | 4 | 2 | no | — |
| 579 | M32 | — | 4 | 2 | no | — |
| 580 | M32 | — | 8 | 2 | no | — |
| 581 | M32 | — | 8 | 2 | no | — |
| 582 | M32 | — | 16 | 2 | no | — |
| 583 | M32 | — | 16 | 4 | no | — |
| 584 | C2×C16 | — | 4 | 2 | no | — |
| 585 | C2×C16 | — | 4 | 2 | no | — |
| 586 | C2×C16 | — | 4 | 2 | no | — |
| 587 | C2×C16 | — | 4 | 2 | no | — |
| 588 | C2×C16 | — | 8 | 2 | no | — |
| 589 | C2×C16 | — | 16 | 2 | no | — |
| 590 | C2×C16 | — | 16 | 4 | no | — |
| 591 | #108 | — | 2 | 2 | no | — |
| 592 | #108 | — | 2 | 2 | no | — |
| 593 | #108 | — | 4 | 2 | no | — |
| 594 | #108 | — | 4 | 2 | no | — |
| 595 | #108 | — | 4 | 2 | no | — |
| 596 | #108 | — | 4 | 2 | no | — |
| 597 | #108 | — | 8 | 4 | no | — |
| 598 | #108 | C8×D4 | 1 | 4 | yes | — |
| 599 | #108 | #442 | 1 | 4 | yes | — |
| 600 | #107 | — | 2 | 2 | no | — |
| 601 | #107 | — | 8 | 2 | no | — |
| 602 | #106 | — | 2 | 2 | no | — |
| 603 | C4⋊C8 | — | 4 | 4 | no | — |
| 604 | C4⋊C8 | — | 8 | 1 | no | — |
| 605 | C4⋊C8 | — | 8 | 1 | no | — |
| 606 | C4⋊C8 | — | 8 | 4 | no | — |
| 607 | #104 | — | 2 | 4 | no | — |
| 608 | #104 | — | 2 | 4 | no | — |
| 609 | #104 | — | 2 | 4 | no | — |
| 610 | #104 | — | 2 | 4 | no | — |
| 611 | #104 | — | 8 | 4 | no | — |
| 612 | #104 | — | 8 | 4 | no | — |
| 613 | #104 | — | 8 | 2 | no | — |
| 614 | #104 | — | 8 | 2 | no | — |
| 615 | #104 | — | 8 | 2 | no | — |
| 616 | #104 | — | 8 | 2 | no | — |
| 617 | #103 | — | 4 | 2 | no | — |
| 618 | #102 | — | 4 | 2 | no | — |
| 619 | #102 | — | 8 | 2 | no | — |
| 620 | #102 | — | 8 | 2 | no | — |
| 621 | #101 | — | 4 | 2 | no | — |
| 622 | #100 | — | 4 | 2 | no | — |
| 623 | #99 | — | 16 | 1 | no | — |
| 624 | C22⋊C8 | — | 8 | 4 | no | — |
| 625 | C22⋊C8 | — | 8 | 2 | no | — |
| 626 | C22⋊C8 | — | 16 | 1 | no | — |
| 627 | C22⋊C8 | — | 16 | 1 | no | — |
| 628 | #97 | — | 4 | 2 | no | — |
| 629 | #97 | — | 4 | 2 | no | — |
| 630 | #97 | — | 4 | 2 | no | — |
| 631 | C4×C8 | — | 2 | 2 | no | — |
| 632 | C4×C8 | — | 2 | 2 | no | — |
| 633 | C4×C8 | — | 2 | 2 | no | — |
| 634 | C4×C8 | — | 2 | 1 | no | — |
| 635 | C4×C8 | — | 2 | 1 | no | — |
| 636 | C4×C8 | — | 2 | 2 | no | — |
| 637 | C4×C8 | — | 2 | 1 | no | — |
| 638 | C4×C8 | — | 2 | 1 | no | — |
| 639 | C4×C8 | — | 4 | 2 | no | — |
| 640 | C4×C8 | — | 4 | 2 | no | — |
| 641 | C4×C8 | — | 4 | 8 | no | — |
| 642 | C4×C8 | — | 4 | 2 | no | — |
| 643 | C4×C8 | — | 4 | 2 | no | — |
| 644 | C4×C8 | — | 4 | 1 | no | — |
| 645 | C4×C8 | — | 4 | 2 | no | — |
| 646 | C4×C8 | — | 4 | 2 | no | — |
| 647 | C4×C8 | — | 4 | 2 | no | — |
| 648 | C4×C8 | — | 8 | 8 | no | — |
| 649 | C4×C8 | — | 8 | 4 | no | — |
| 650 | C4×C8 | — | 8 | 2 | no | — |
| 651 | C4×C8 | C23×C8 | 1 | 1 | yes | characteristic |
| 652 | C4×C8 | C2×#131 | 1 | 2 | yes | — |
| 653 | C4×C8 | #568 | 1 | 1 | yes | characteristic |
| 654 | C4×C8 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 655 | C4×C8 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 656 | C4×C8 | #576 | 1 | 2 | yes | — |
| 657 | C4×C8 | #577 | 1 | 2 | yes | — |
| 658 | #41 | — | 2 | 4 | no | — |
| 659 | #41 | — | 2 | 4 | no | — |
| 660 | #41 | — | 4 | 2 | no | — |
| 661 | #41 | — | 4 | 2 | no | — |
| 662 | #41 | — | 8 | 4 | no | — |
| 663 | #41 | — | 8 | 4 | no | — |
| 664 | #41 | — | 8 | 2 | no | — |
| 665 | #41 | — | 8 | 2 | no | — |
| 666 | #41 | — | 8 | 2 | no | — |
| 667 | #41 | — | 8 | 2 | no | — |
| 668 | #41 | — | 16 | 2 | no | — |
| 669 | #41 | — | 16 | 4 | no | — |
| 670 | #41 | — | 16 | 2 | no | — |
| 671 | #41 | — | 16 | 2 | no | — |
| 672 | C2×Q8 | — | 2 | 2 | no | — |
| 673 | C2×Q8 | — | 4 | 1 | no | — |
| 674 | C2×Q8 | — | 4 | 1 | no | — |
| 675 | C2×Q8 | — | 8 | 4 | no | — |
| 676 | C2×Q8 | — | 16 | 1 | no | — |
| 677 | C2×D4 | — | 2 | 2 | no | — |
| 678 | C2×D4 | — | 4 | 2 | no | — |
| 679 | C2×D4 | — | 4 | 1 | no | — |
| 680 | C2×D4 | — | 4 | 1 | no | — |
| 681 | C2×D4 | — | 8 | 1 | no | — |
| 682 | C2×D4 | — | 8 | 1 | no | — |
| 683 | C2×D4 | — | 8 | 4 | no | — |
| 684 | C2×D4 | — | 8 | 1 | no | — |
| 685 | C2×D4 | — | 8 | 1 | no | — |
| 686 | C2×D4 | — | 16 | 2 | no | — |
| 687 | C2×D4 | — | 16 | 1 | no | — |
| 688 | C2×D4 | — | 16 | 4 | no | — |
| 689 | C22×C4 | — | 2 | 2 | no | — |
| 690 | C22×C4 | — | 2 | 1 | no | — |
| 691 | C22×C4 | — | 4 | 2 | no | — |
| 692 | C22×C4 | — | 8 | 2 | no | — |
| 693 | C22×C4 | — | 8 | 1 | no | — |
| 694 | C22×C4 | — | 8 | 1 | no | — |
| 695 | C22×C4 | — | 16 | 2 | no | — |
| 696 | C22×C4 | #2358 | 1 | 1 | yes | characteristic |
| 697 | Q16 | — | 2 | 2 | no | — |
| 698 | Q16 | — | 4 | 2 | no | — |
| 699 | Q16 | — | 4 | 2 | no | — |
| 700 | Q16 | — | 4 | 2 | no | — |
| 701 | Q16 | — | 4 | 2 | no | — |
| 702 | Q16 | — | 8 | 4 | no | — |
| 703 | Q16 | #1580 | 1 | 4 | yes | — |
| 704 | SD16 | — | 2 | 4 | no | — |
| 705 | SD16 | — | 2 | 4 | no | — |
| 706 | SD16 | — | 8 | 4 | no | — |
| 707 | SD16 | — | 8 | 4 | no | — |
| 708 | SD16 | — | 8 | 2 | no | — |
| 709 | SD16 | — | 8 | 2 | no | — |
| 710 | SD16 | — | 8 | 2 | no | — |
| 711 | SD16 | — | 8 | 2 | no | — |
| 712 | D8 | — | 2 | 2 | no | — |
| 713 | D8 | — | 4 | 2 | no | — |
| 714 | D8 | — | 4 | 2 | no | — |
| 715 | D8 | — | 4 | 2 | no | — |
| 716 | D8 | — | 4 | 2 | no | — |
| 717 | D8 | — | 8 | 4 | no | — |
| 718 | D8 | — | 16 | 4 | no | — |
| 719 | D8 | #1580 | 1 | 4 | yes | — |
| 720 | M16 | — | 2 | 4 | no | — |
| 721 | M16 | — | 2 | 4 | no | — |
| 722 | M16 | — | 4 | 2 | no | — |
| 723 | M16 | — | 4 | 2 | no | — |
| 724 | M16 | — | 4 | 4 | no | — |
| 725 | M16 | — | 4 | 4 | no | — |
| 726 | M16 | — | 4 | 4 | no | — |
| 727 | M16 | — | 4 | 4 | no | — |
| 728 | M16 | — | 8 | 2 | no | — |
| 729 | M16 | — | 8 | 2 | no | — |
| 730 | M16 | — | 16 | 2 | no | — |
| 731 | M16 | — | 16 | 4 | no | — |
| 732 | M16 | — | 16 | 2 | no | — |
| 733 | M16 | — | 16 | 2 | no | — |
| 734 | C2×C8 | — | 2 | 2 | no | — |
| 735 | C2×C8 | — | 2 | 2 | no | — |
| 736 | C2×C8 | — | 2 | 2 | no | — |
| 737 | C2×C8 | — | 2 | 1 | no | — |
| 738 | C2×C8 | — | 4 | 4 | no | — |
| 739 | C2×C8 | — | 4 | 2 | no | — |
| 740 | C2×C8 | — | 4 | 4 | no | — |
| 741 | C2×C8 | — | 4 | 2 | no | — |
| 742 | C2×C8 | — | 4 | 2 | no | — |
| 743 | C2×C8 | — | 4 | 4 | no | — |
| 744 | C2×C8 | — | 4 | 4 | no | — |
| 745 | C2×C8 | — | 4 | 4 | no | — |
| 746 | C2×C8 | — | 4 | 4 | no | — |
| 747 | C2×C8 | — | 4 | 4 | no | — |
| 748 | C2×C8 | — | 8 | 4 | no | — |
| 749 | C2×C8 | — | 8 | 2 | no | — |
| 750 | C2×C8 | — | 8 | 4 | no | — |
| 751 | C2×C8 | — | 8 | 4 | no | — |
| 752 | C2×C8 | — | 8 | 1 | no | — |
| 753 | C2×C8 | — | 8 | 1 | no | — |
| 754 | C2×C8 | — | 16 | 2 | no | — |
| 755 | C2×C8 | — | 16 | 4 | no | — |
| 756 | C2×C8 | — | 16 | 1 | no | — |
| 757 | C2×C8 | — | 16 | 1 | no | — |
| 758 | C2×C8 | — | 16 | 1 | no | — |
| 759 | C2×C8 | — | 16 | 1 | no | — |
| 760 | C2×C8 | — | 32 | 4 | no | — |
| 761 | C2×C8 | C2×C8×D4 | 1 | 2 | yes | — |
| 762 | C2×C8 | #2933 | 1 | 2 | yes | — |
| 763 | C2×C8 | C2×#442 | 1 | 2 | yes | — |
| 764 | C2×C8 | #2946 | 1 | 2 | yes | — |
| 765 | C2×C8 | C2×#444 | 1 | 2 | yes | — |
| 766 | C2×C8 | #2956 | 1 | 2 | yes | — |
| 767 | C2×C8 | #3264 | 1 | 2 | yes | — |
| 768 | C2×C8 | #3265 | 1 | 2 | yes | — |
| 769 | C2×C8 | #3291 | 1 | 1 | yes | characteristic |
| 770 | C2×C8 | #3292 | 1 | 1 | yes | characteristic |
| 771 | C4⋊C4 | — | 4 | 2 | no | — |
| 772 | C4⋊C4 | — | 8 | 2 | no | — |
| 773 | C4⋊C4 | — | 8 | 1 | no | — |
| 774 | C4⋊C4 | — | 8 | 1 | no | — |
| 775 | C22⋊C4 | — | 4 | 2 | no | — |
| 776 | C22⋊C4 | — | 8 | 2 | no | — |
| 777 | C22⋊C4 | — | 16 | 1 | no | — |
| 778 | C22⋊C4 | — | 16 | 1 | no | — |
| 779 | C42 | — | 2 | 2 | no | — |
| 780 | C42 | — | 2 | 1 | no | — |
| 781 | C42 | — | 4 | 4 | no | — |
| 782 | C42 | — | 4 | 2 | no | — |
| 783 | C42 | — | 8 | 2 | no | — |
| 784 | C42 | #2972 | 1 | 1 | yes | characteristic |
| 785 | C42 | #2977 | 1 | 1 | yes | characteristic |
| 786 | C42 | #3306 | 1 | 2 | yes | — |
| 787 | C42 | #3318 | 1 | 2 | yes | — |
| 788 | C16 | — | 4 | 4 | no | — |
| 789 | C16 | — | 8 | 2 | no | — |
| 790 | C16 | — | 8 | 2 | no | — |
| 791 | C16 | — | 8 | 2 | no | — |
| 792 | C16 | — | 16 | 2 | no | — |
| 793 | C23 | — | 4 | 2 | no | — |
| 794 | C23 | — | 8 | 1 | no | — |
| 795 | C23 | — | 8 | 1 | no | — |
| 796 | C23 | — | 16 | 2 | no | — |
| 797 | C23 | #22899 | 1 | 1 | yes | characteristic |
| 798 | Q8 | — | 2 | 4 | no | — |
| 799 | Q8 | — | 4 | 2 | no | — |
| 800 | Q8 | — | 8 | 2 | no | — |
| 801 | Q8 | — | 8 | 2 | no | — |
| 802 | Q8 | — | 16 | 2 | no | — |
| 803 | D4 | — | 2 | 4 | no | — |
| 804 | D4 | — | 4 | 4 | no | — |
| 805 | D4 | — | 4 | 4 | no | — |
| 806 | D4 | — | 4 | 2 | no | — |
| 807 | D4 | — | 8 | 2 | no | — |
| 808 | D4 | — | 8 | 2 | no | — |
| 809 | D4 | — | 16 | 2 | no | — |
| 810 | D4 | — | 16 | 2 | no | — |
| 811 | D4 | — | 16 | 4 | no | — |
| 812 | D4 | — | 16 | 2 | no | — |
| 813 | D4 | — | 16 | 2 | no | — |
| 814 | D4 | — | 16 | 2 | no | — |
| 815 | C2×C4 | — | 2 | 2 | no | — |
| 816 | C2×C4 | — | 2 | 1 | no | — |
| 817 | C2×C4 | — | 2 | 2 | no | — |
| 818 | C2×C4 | — | 2 | 1 | no | — |
| 819 | C2×C4 | — | 4 | 2 | no | — |
| 820 | C2×C4 | — | 4 | 4 | no | — |
| 821 | C2×C4 | — | 4 | 2 | no | — |
| 822 | C2×C4 | — | 4 | 4 | no | — |
| 823 | C2×C4 | — | 4 | 4 | no | — |
| 824 | C2×C4 | — | 8 | 2 | no | — |
| 825 | C2×C4 | — | 8 | 1 | no | — |
| 826 | C2×C4 | — | 8 | 1 | no | — |
| 827 | C2×C4 | — | 16 | 4 | no | — |
| 828 | C2×C4 | — | 16 | 2 | no | — |
| 829 | C2×C4 | — | 16 | 4 | no | — |
| 830 | C2×C4 | — | 16 | 1 | no | — |
| 831 | C2×C4 | — | 16 | 1 | no | — |
| 832 | C2×C4 | — | 16 | 1 | no | — |
| 833 | C2×C4 | — | 16 | 1 | no | — |
| 834 | C2×C4 | #22842 | 1 | 1 | yes | characteristic |
| 835 | C2×C4 | #22858 | 1 | 2 | yes | — |
| 836 | C2×C4 | #22886 | 1 | 2 | yes | — |
| 837 | C2×C4 | #22897 | 1 | 1 | yes | characteristic |
| 838 | C8 | — | 2 | 4 | no | — |
| 839 | C8 | — | 4 | 2 | no | — |
| 840 | C8 | — | 4 | 4 | no | — |
| 841 | C8 | — | 4 | 4 | no | — |
| 842 | C8 | — | 4 | 4 | no | — |
| 843 | C8 | — | 4 | 1 | no | — |
| 844 | C8 | — | 8 | 4 | no | — |
| 845 | C8 | — | 16 | 4 | no | — |
| 846 | C8 | — | 16 | 2 | no | — |
| 847 | C8 | — | 16 | 1 | no | — |
| 848 | C8 | — | 16 | 1 | no | — |
| 849 | C8 | C2×#1580 | 1 | 2 | yes | — |
| 850 | C8 | #17852 | 1 | 2 | yes | — |
| 851 | C8 | #18001 | 1 | 2 | yes | — |
| 852 | C8 | #18020 | 1 | 2 | yes | — |
| 853 | C8 | #20023 | 1 | 1 | yes | characteristic |
| 854 | C8 | #20024 | 1 | 2 | yes | — |
| 855 | C8 | #20067 | 1 | 1 | yes | characteristic |
| 856 | C22 | — | 4 | 1 | no | — |
| 857 | C22 | — | 4 | 4 | no | — |
| 858 | C22 | — | 16 | 2 | no | — |
| 859 | C22 | — | 16 | 1 | no | — |
| 860 | C22 | — | 16 | 1 | no | — |
| 861 | C22 | — | 32 | 1 | no | — |
| 862 | C22 | — | 32 | 1 | no | — |
| 863 | C22 | — | 64 | 2 | no | — |
| 864 | C22 | #226941 | 1 | 1 | yes | characteristic |
| 865 | C22 | #228210 | 1 | 2 | yes | — |
| 866 | C4 | — | 2 | 2 | no | — |
| 867 | C4 | — | 2 | 4 | no | — |
| 868 | C4 | — | 4 | 1 | no | — |
| 869 | C4 | — | 4 | 2 | no | — |
| 870 | C4 | — | 4 | 4 | no | — |
| 871 | C4 | — | 16 | 2 | no | — |
| 872 | C4 | — | 16 | 1 | no | — |
| 873 | C4 | — | 16 | 1 | no | — |
| 874 | C4 | #227078 | 1 | 1 | yes | characteristic |
| 875 | C4 | #227154 | 1 | 1 | yes | characteristic |
| 876 | C4 | #227634 | 1 | 2 | yes | — |
| 877 | C2 | — | 2 | 2 | no | — |
| 878 | C2 | — | 2 | 1 | no | — |
| 879 | C2 | — | 8 | 4 | no | — |
| 880 | C2 | — | 32 | 1 | no | — |
| 881 | C2 | — | 32 | 1 | no | — |
| 882 | C2 | #72216495 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C4 | #227078 |
| commutator | C4×C8 | C23×C8 |
| Frattini, cosocle | C42×C8 | C24 |
| socle | C2 | #72216495 |
| prime radical | #488869 | C4 |
| LCS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C4 ◁ C22×C8 ◁ C42×C8 ◁ G | |
| LECS | G ▷ C42×C8 ▷ C22×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72225479 | C2 | semidirect |
| 2. #72225460 | C2 | semidirect |
| 3. #72225445 | C2 | semidirect |
| 4. #72225439 | C2 | semidirect |
| 5. #72225431 | C2 | semidirect |
| 6. #72225418 | C2 | semidirect |
| 8. #72225226 | C2 | semidirect |
| 9. #72216228 | C2 | semidirect |
| 11. #498550 | C22 | semidirect |
| 21. #140533 | C22 | semidirect |
| 22. #140393 | C22 | semidirect |
| 32. #135713 | C22 | semidirect |
| 36. #129055 | C22 | semidirect |
| 40. #124213 | C22 | semidirect |
| 41. #94857 | C22 | semidirect |
| 42. #93448 | C22 | semidirect |
| 43. #93266 | C22 | semidirect |
| 44. #93264 | C22 | semidirect |
| 80. #12313 | C8 | semidirect |
| 81. #12312 | C8 | semidirect |
| 82. #12311 | C8 | semidirect |
| 83. #12310 | C8 | semidirect |
| 156. #2214 | C2×C8 | semidirect |
| 157. #2213 | C2×C8 | semidirect |
| 211. #1713 | C2×C8 | semidirect |
| 212. #1712 | C2×C8 | semidirect |
| 213. #1709 | C2×C8 | semidirect |
| 214. #1709 | C2×C8 | semidirect |
| 246. #1358 | C2×C8 | semidirect |
| 247. #1357 | C2×C8 | semidirect |
| 259. #1335 | C2×C8 | semidirect |
| 260. #1335 | C2×C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72225479 | 2 |
| #72225460 | 2 |
| #72225445 | 2 |
| #72225439 | 2 |
| #72225431 | 2 |
| #72225418 | 2 |
| #72225390 | 2 |
| #72225226 | 2 |
| #72216228 | 2 |