Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
1241 conjugacy classes of subgroups.
The subgroup lattice has 978 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #6345808 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #489290 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #483990 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #483875 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #211944 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #137502 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #137056 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #137039 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #136568 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #136482 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #136465 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #131818 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #129034 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #128692 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #128636 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #61427 | C22 | 1 | 1 | yes | characteristic |
| 17 | #60215 | — | 2 | 1 | no | — |
| 18 | #33751 | C22 | 1 | 1 | yes | characteristic |
| 19 | #33669 | C22 | 1 | 1 | yes | characteristic |
| 20 | #19128 | C22 | 1 | 1 | yes | characteristic |
| 21 | #18075 | — | 2 | 1 | no | — |
| 22 | #18072 | C22 | 1 | 1 | yes | characteristic |
| 23 | #18045 | — | 2 | 1 | no | — |
| 24 | #18044 | C22 | 1 | 1 | yes | characteristic |
| 25 | #18002 | — | 2 | 2 | no | — |
| 26 | #18000 | — | 2 | 1 | no | — |
| 27 | #17963 | — | 2 | 1 | no | — |
| 28 | #17962 | C22 | 1 | 1 | yes | characteristic |
| 29 | #17961 | C22 | 1 | 1 | yes | characteristic |
| 30 | #17912 | — | 2 | 1 | no | — |
| 31 | #17909 | — | 2 | 2 | no | — |
| 32 | #17905 | — | 2 | 1 | no | — |
| 33 | #17849 | — | 2 | 1 | no | — |
| 34 | C2×#1580 | C22 | 1 | 1 | yes | characteristic |
| 35 | #17827 | C22 | 1 | 1 | yes | characteristic |
| 36 | #17508 | — | 2 | 1 | no | — |
| 37 | #17320 | C22 | 1 | 1 | yes | characteristic |
| 38 | C4×#361 | C22 | 1 | 1 | yes | characteristic |
| 39 | #12411 | C4 | 1 | 1 | yes | characteristic |
| 40 | #12399 | C4 | 1 | 1 | yes | characteristic |
| 41 | #12387 | C4 | 1 | 1 | yes | characteristic |
| 42 | #12375 | C4 | 1 | 1 | yes | characteristic |
| 43 | #12355 | C4 | 1 | 1 | yes | characteristic |
| 44 | #12343 | C4 | 1 | 1 | yes | characteristic |
| 45 | #12331 | C4 | 1 | 1 | yes | characteristic |
| 46 | #12319 | C4 | 1 | 1 | yes | characteristic |
| 47 | #12080 | — | 2 | 2 | no | — |
| 48 | #12078 | — | 2 | 1 | no | — |
| 49 | #12078 | — | 2 | 1 | no | — |
| 50 | #12077 | — | 2 | 2 | no | — |
| 51 | #12067 | — | 2 | 1 | no | — |
| 52 | #12067 | — | 2 | 1 | no | — |
| 53 | #12030 | C22 | 1 | 1 | yes | characteristic |
| 54 | #12020 | C22 | 1 | 1 | yes | characteristic |
| 55 | #11953 | C22 | 1 | 1 | yes | characteristic |
| 56 | #11752 | C22 | 1 | 1 | yes | characteristic |
| 57 | #11681 | C22 | 1 | 1 | yes | characteristic |
| 58 | #11680 | C22 | 1 | 1 | yes | characteristic |
| 59 | #11663 | C22 | 1 | 1 | yes | characteristic |
| 60 | #11654 | C22 | 1 | 1 | yes | characteristic |
| 61 | #11615 | C22 | 1 | 1 | yes | characteristic |
| 62 | #11615 | C22 | 1 | 1 | yes | characteristic |
| 63 | #11593 | C22 | 1 | 1 | yes | characteristic |
| 64 | #11415 | C22 | 1 | 1 | yes | characteristic |
| 65 | #11404 | C22 | 1 | 1 | yes | characteristic |
| 66 | #9726 | C22 | 1 | 1 | yes | characteristic |
| 67 | #9635 | C22 | 1 | 1 | yes | characteristic |
| 68 | #9588 | — | 2 | 1 | no | — |
| 69 | #9211 | — | 2 | 1 | no | — |
| 70 | #8670 | C22 | 1 | 1 | yes | characteristic |
| 71 | #8294 | C22 | 1 | 1 | yes | characteristic |
| 72 | #8245 | — | 2 | 1 | no | — |
| 73 | #7300 | C22 | 1 | 1 | yes | characteristic |
| 74 | #7295 | C22 | 1 | 1 | yes | characteristic |
| 75 | #7173 | C22 | 1 | 1 | yes | characteristic |
| 76 | #7164 | C22 | 1 | 1 | yes | characteristic |
| 77 | #7164 | C22 | 1 | 1 | yes | characteristic |
| 78 | #7158 | C22 | 1 | 1 | yes | characteristic |
| 79 | #3475 | — | 2 | 1 | no | — |
| 80 | #3393 | C2×C4 | 1 | 1 | yes | characteristic |
| 81 | #3380 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | #3360 | — | 2 | 1 | no | — |
| 83 | #3341 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | #3336 | — | 2 | 1 | no | — |
| 85 | #3303 | — | 2 | 1 | no | — |
| 86 | #3296 | — | 2 | 2 | no | — |
| 87 | #3283 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | #3280 | — | 2 | 1 | no | — |
| 89 | #3170 | C23 | 1 | 1 | yes | characteristic |
| 90 | #3169 | C23 | 1 | 1 | yes | characteristic |
| 91 | #3168 | — | 2 | 1 | no | — |
| 92 | #3106 | — | 2 | 1 | no | — |
| 93 | #3102 | — | 2 | 2 | no | — |
| 94 | #3101 | — | 2 | 1 | no | — |
| 95 | #2970 | — | 2 | 2 | no | — |
| 96 | #2969 | — | 2 | 2 | no | — |
| 97 | #2968 | — | 4 | 2 | no | — |
| 98 | #2966 | — | 2 | 2 | no | — |
| 99 | #2966 | — | 4 | 2 | no | — |
| 100 | C8×#41 | — | 2 | 2 | no | — |
| 101 | C8×#41 | D4 | 1 | 1 | yes | characteristic |
| 102 | C8×#41 | C23 | 1 | 1 | yes | characteristic |
| 103 | #2962 | — | 2 | 1 | no | — |
| 104 | #2960 | — | 2 | 1 | no | — |
| 105 | C4×#135 | — | 2 | 1 | no | — |
| 106 | C2×C4×D8 | C23 | 1 | 1 | yes | characteristic |
| 107 | D4×M16 | — | 2 | 1 | no | — |
| 108 | #2933 | — | 4 | 1 | no | — |
| 109 | #2931 | — | 2 | 1 | no | — |
| 110 | #2929 | — | 4 | 1 | no | — |
| 111 | C2×C8×D4 | — | 2 | 1 | no | — |
| 112 | #2925 | — | 2 | 1 | no | — |
| 113 | #2924 | — | 4 | 1 | no | — |
| 114 | C4×#131 | D4 | 1 | 1 | yes | characteristic |
| 115 | C2×#405 | — | 4 | 1 | no | — |
| 116 | #2252 | C2×C4 | 1 | 1 | yes | characteristic |
| 117 | #2248 | C2×C4 | 1 | 1 | yes | characteristic |
| 118 | #2241 | C2×C4 | 1 | 1 | yes | characteristic |
| 119 | #2240 | C2×C4 | 1 | 1 | yes | characteristic |
| 120 | #2233 | — | 2 | 1 | no | — |
| 121 | #2226 | C2×C4 | 1 | 1 | yes | characteristic |
| 122 | #2226 | C2×C4 | 1 | 1 | yes | characteristic |
| 123 | #2220 | — | 2 | 2 | no | — |
| 124 | #2206 | C2×C4 | 1 | 1 | yes | characteristic |
| 125 | #2206 | C2×C4 | 1 | 1 | yes | characteristic |
| 126 | #2184 | — | 2 | 1 | no | — |
| 127 | #2177 | — | 2 | 1 | no | — |
| 128 | #2177 | — | 2 | 1 | no | — |
| 129 | #2175 | — | 2 | 2 | no | — |
| 130 | #2163 | C23 | 1 | 1 | yes | characteristic |
| 131 | #2163 | C23 | 1 | 1 | yes | characteristic |
| 132 | C2×#361 | — | 2 | 1 | no | — |
| 133 | C4×M32 | C23 | 1 | 1 | yes | characteristic |
| 134 | C4×M32 | C23 | 1 | 1 | yes | characteristic |
| 135 | C4×#108 | C23 | 1 | 1 | yes | characteristic |
| 136 | #1678 | — | 2 | 1 | no | — |
| 137 | #1677 | — | 2 | 1 | no | — |
| 138 | #1676 | C2×C4 | 1 | 1 | yes | characteristic |
| 139 | #1675 | C2×C4 | 1 | 1 | yes | characteristic |
| 140 | #1668 | C2×C4 | 1 | 1 | yes | characteristic |
| 141 | #1667 | C2×C4 | 1 | 1 | yes | characteristic |
| 142 | #1594 | — | 2 | 1 | no | — |
| 143 | #1594 | — | 2 | 1 | no | — |
| 144 | #1594 | — | 2 | 1 | no | — |
| 145 | #1593 | — | 2 | 1 | no | — |
| 146 | #1593 | — | 2 | 1 | no | — |
| 147 | #1593 | D4 | 1 | 2 | yes | — |
| 148 | #1592 | — | 2 | 2 | no | — |
| 149 | #1588 | — | 2 | 2 | no | — |
| 150 | #1588 | — | 4 | 1 | no | — |
| 151 | #1587 | — | 2 | 2 | no | — |
| 152 | #1586 | — | 2 | 2 | no | — |
| 153 | #1586 | — | 4 | 1 | no | — |
| 154 | #1585 | — | 2 | 2 | no | — |
| 155 | #1585 | — | 2 | 2 | no | — |
| 156 | #1585 | — | 2 | 2 | no | — |
| 157 | #1580 | — | 2 | 1 | no | — |
| 158 | #1580 | — | 2 | 1 | no | — |
| 159 | #1580 | — | 2 | 1 | no | — |
| 160 | #1580 | — | 2 | 1 | no | — |
| 161 | #1580 | — | 2 | 1 | no | — |
| 162 | #1580 | D4 | 1 | 1 | yes | characteristic |
| 163 | #1580 | D4 | 1 | 1 | yes | characteristic |
| 164 | #1580 | D4 | 1 | 1 | yes | characteristic |
| 165 | #1580 | D4 | 1 | 1 | yes | characteristic |
| 166 | #1579 | — | 2 | 1 | no | — |
| 167 | #1579 | — | 2 | 1 | no | — |
| 168 | #1579 | D4 | 1 | 2 | yes | — |
| 169 | SD16⋊C8 | — | 2 | 2 | no | — |
| 170 | SD16⋊C8 | — | 2 | 2 | no | — |
| 171 | SD16⋊C8 | — | 2 | 2 | no | — |
| 172 | C8×SD16 | — | 4 | 1 | no | — |
| 173 | C8×D8 | — | 4 | 1 | no | — |
| 174 | #1574 | — | 2 | 1 | no | — |
| 175 | #1572 | — | 2 | 2 | no | — |
| 176 | #1571 | — | 2 | 1 | no | — |
| 177 | #1568 | — | 2 | 1 | no | — |
| 178 | #1566 | C23 | 1 | 1 | yes | characteristic |
| 179 | #1566 | C23 | 1 | 1 | yes | characteristic |
| 180 | #1564 | — | 2 | 1 | no | — |
| 181 | #1564 | C23 | 1 | 1 | yes | characteristic |
| 182 | C2×#334 | C23 | 1 | 1 | yes | characteristic |
| 183 | #1543 | — | 2 | 1 | no | — |
| 184 | #1525 | — | 2 | 1 | no | — |
| 185 | #1494 | — | 2 | 2 | no | — |
| 186 | #1493 | — | 2 | 1 | no | — |
| 187 | #1492 | — | 2 | 1 | no | — |
| 188 | #1489 | — | 2 | 1 | no | — |
| 189 | #1488 | — | 2 | 2 | no | — |
| 190 | #1486 | — | 2 | 1 | no | — |
| 191 | #1484 | — | 2 | 1 | no | — |
| 192 | #1482 | — | 2 | 2 | no | — |
| 193 | #1481 | — | 2 | 1 | no | — |
| 194 | #1476 | — | 2 | 2 | no | — |
| 195 | C2×D4⋊C8 | — | 2 | 1 | no | — |
| 196 | #1452 | — | 2 | 1 | no | — |
| 197 | #1452 | D4 | 1 | 1 | yes | characteristic |
| 198 | #1451 | — | 2 | 1 | no | — |
| 199 | #1451 | — | 2 | 1 | no | — |
| 200 | #1451 | D4 | 1 | 1 | yes | characteristic |
| 201 | #1451 | C23 | 1 | 1 | yes | characteristic |
| 202 | C8×M16 | — | 2 | 1 | no | — |
| 203 | C2×#322 | — | 2 | 1 | no | — |
| 204 | C2×#322 | C23 | 1 | 1 | yes | characteristic |
| 205 | #1387 | — | 2 | 1 | no | — |
| 206 | #1368 | — | 2 | 1 | no | — |
| 207 | #1368 | — | 2 | 1 | no | — |
| 208 | #1368 | — | 2 | 2 | no | — |
| 209 | #1365 | C2×C4 | 1 | 1 | yes | characteristic |
| 210 | #1365 | C2×C4 | 1 | 1 | yes | characteristic |
| 211 | #1362 | C2×C4 | 1 | 1 | yes | characteristic |
| 212 | #1362 | C2×C4 | 1 | 1 | yes | characteristic |
| 213 | #1350 | — | 2 | 2 | no | — |
| 214 | Q8⋊C16 | — | 2 | 1 | no | — |
| 215 | Q8⋊C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 216 | Q8⋊C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 217 | #1334 | — | 2 | 2 | no | — |
| 218 | #1333 | — | 2 | 1 | no | — |
| 219 | #1333 | — | 2 | 1 | no | — |
| 220 | #1333 | — | 2 | 1 | no | — |
| 221 | #1333 | — | 2 | 1 | no | — |
| 222 | #1333 | — | 2 | 2 | no | — |
| 223 | #1331 | C2×C4 | 1 | 1 | yes | characteristic |
| 224 | #1331 | C2×C4 | 1 | 1 | yes | characteristic |
| 225 | #1331 | C2×C4 | 1 | 1 | yes | characteristic |
| 226 | #1331 | C2×C4 | 1 | 1 | yes | characteristic |
| 227 | D4⋊C16 | — | 2 | 1 | no | — |
| 228 | D4⋊C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 229 | D4⋊C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 230 | #1313 | — | 2 | 1 | no | — |
| 231 | #1313 | — | 2 | 1 | no | — |
| 232 | #1313 | — | 2 | 1 | no | — |
| 233 | #1313 | — | 2 | 1 | no | — |
| 234 | #1299 | — | 2 | 1 | no | — |
| 235 | #1299 | — | 2 | 1 | no | — |
| 236 | #1278 | — | 2 | 1 | no | — |
| 237 | C2×#135 | — | 2 | 1 | no | — |
| 238 | C22×D8 | #41 | 1 | 1 | yes | characteristic |
| 239 | C2×#131 | — | 2 | 1 | no | — |
| 240 | C2×#131 | — | 4 | 1 | no | — |
| 241 | C22×M16 | — | 4 | 1 | no | — |
| 242 | C23×C8 | — | 4 | 1 | no | — |
| 243 | #556 | — | 2 | 1 | no | — |
| 244 | #555 | — | 2 | 1 | no | — |
| 245 | #554 | — | 2 | 1 | no | — |
| 246 | #553 | — | 4 | 1 | no | — |
| 247 | #552 | — | 2 | 2 | no | — |
| 248 | #552 | — | 4 | 1 | no | — |
| 249 | #551 | — | 4 | 2 | no | — |
| 250 | #547 | — | 2 | 1 | no | — |
| 251 | #546 | — | 2 | 2 | no | — |
| 252 | #533 | — | 2 | 1 | no | — |
| 253 | #532 | — | 2 | 1 | no | — |
| 254 | #529 | — | 2 | 2 | no | — |
| 255 | #529 | — | 4 | 2 | no | — |
| 256 | #525 | — | 4 | 1 | no | — |
| 257 | C4×#41 | — | 2 | 2 | no | — |
| 258 | C4×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C2×C4×D4 | — | 2 | 1 | no | — |
| 260 | C2×#117 | — | 4 | 1 | no | — |
| 261 | C2×SD32 | — | 2 | 2 | no | — |
| 262 | C2×D16 | — | 2 | 1 | no | — |
| 263 | C2×D16 | — | 2 | 1 | no | — |
| 264 | C2×M32 | — | 2 | 1 | no | — |
| 265 | C2×M32 | — | 2 | 1 | no | — |
| 266 | #500 | C22×C4 | 1 | 1 | yes | characteristic |
| 267 | #500 | C22×C4 | 1 | 1 | yes | characteristic |
| 268 | #499 | — | 2 | 1 | no | — |
| 269 | #495 | — | 2 | 1 | no | — |
| 270 | #494 | C22×C4 | 1 | 1 | yes | characteristic |
| 271 | #493 | C22×C4 | 1 | 1 | yes | characteristic |
| 272 | #488 | — | 2 | 2 | no | — |
| 273 | #487 | — | 2 | 1 | no | — |
| 274 | #486 | — | 2 | 1 | no | — |
| 275 | #485 | — | 2 | 2 | no | — |
| 276 | #483 | — | 2 | 2 | no | — |
| 277 | #482 | — | 2 | 2 | no | — |
| 278 | #482 | — | 4 | 1 | no | — |
| 279 | #479 | — | 2 | 2 | no | — |
| 280 | #478 | — | 2 | 2 | no | — |
| 281 | #477 | — | 2 | 1 | no | — |
| 282 | #476 | — | 2 | 1 | no | — |
| 283 | #476 | — | 2 | 1 | no | — |
| 284 | #476 | — | 2 | 1 | no | — |
| 285 | #467 | — | 2 | 1 | no | — |
| 286 | #467 | — | 2 | 1 | no | — |
| 287 | #467 | #41 | 1 | 2 | yes | — |
| 288 | #466 | — | 2 | 1 | no | — |
| 289 | #466 | — | 2 | 1 | no | — |
| 290 | #466 | — | 2 | 1 | no | — |
| 291 | #465 | — | 2 | 2 | no | — |
| 292 | #464 | — | 2 | 2 | no | — |
| 293 | #463 | — | 2 | 2 | no | — |
| 294 | #461 | — | 2 | 1 | no | — |
| 295 | #461 | — | 2 | 1 | no | — |
| 296 | #460 | — | 2 | 1 | no | — |
| 297 | #459 | — | 2 | 1 | no | — |
| 298 | #452 | — | 2 | 2 | no | — |
| 299 | #450 | — | 2 | 2 | no | — |
| 300 | #449 | — | 2 | 2 | no | — |
| 301 | #449 | — | 4 | 1 | no | — |
| 302 | #446 | — | 2 | 2 | no | — |
| 303 | #446 | — | 2 | 2 | no | — |
| 304 | #446 | — | 4 | 1 | no | — |
| 305 | #446 | — | 4 | 2 | no | — |
| 306 | C8×Q8 | — | 2 | 2 | no | — |
| 307 | C8×Q8 | — | 2 | 1 | no | — |
| 308 | C8×Q8 | — | 2 | 2 | no | — |
| 309 | C8×Q8 | — | 4 | 1 | no | — |
| 310 | C8×Q8 | C22×C4 | 1 | 1 | yes | characteristic |
| 311 | C8×Q8 | #41 | 1 | 1 | yes | characteristic |
| 312 | C4×Q16 | — | 2 | 1 | no | — |
| 313 | C4×Q16 | — | 2 | 1 | no | — |
| 314 | C4×Q16 | C2×D4 | 1 | 2 | yes | — |
| 315 | C4×SD16 | — | 2 | 2 | no | — |
| 316 | C4×SD16 | — | 2 | 2 | no | — |
| 317 | C4×SD16 | — | 2 | 2 | no | — |
| 318 | C4×SD16 | — | 4 | 1 | no | — |
| 319 | C4×D8 | — | 2 | 1 | no | — |
| 320 | C4×D8 | — | 2 | 1 | no | — |
| 321 | C4×D8 | — | 2 | 1 | no | — |
| 322 | C4×D8 | — | 2 | 1 | no | — |
| 323 | C4×D8 | — | 2 | 1 | no | — |
| 324 | C4×D8 | — | 4 | 1 | no | — |
| 325 | C4×D8 | C22×C4 | 1 | 1 | yes | characteristic |
| 326 | C4×D8 | C22×C4 | 1 | 1 | yes | characteristic |
| 327 | C4×D8 | C2×D4 | 1 | 1 | yes | characteristic |
| 328 | C4×D8 | C2×D4 | 1 | 1 | yes | characteristic |
| 329 | #436 | — | 2 | 2 | no | — |
| 330 | #436 | — | 4 | 1 | no | — |
| 331 | #436 | — | 4 | 2 | no | — |
| 332 | #436 | — | 4 | 1 | no | — |
| 333 | #435 | — | 4 | 2 | no | — |
| 334 | #435 | — | 4 | 2 | no | — |
| 335 | #435 | — | 4 | 2 | no | — |
| 336 | #435 | — | 4 | 2 | no | — |
| 337 | #435 | — | 4 | 2 | no | — |
| 338 | C8×D4 | — | 2 | 1 | no | — |
| 339 | C8×D4 | — | 2 | 1 | no | — |
| 340 | C8×D4 | — | 2 | 2 | no | — |
| 341 | C8×D4 | — | 2 | 1 | no | — |
| 342 | C8×D4 | — | 2 | 1 | no | — |
| 343 | C8×D4 | — | 2 | 1 | no | — |
| 344 | C8×D4 | — | 2 | 1 | no | — |
| 345 | C8×D4 | — | 2 | 1 | no | — |
| 346 | C8×D4 | — | 4 | 1 | no | — |
| 347 | C8×D4 | — | 4 | 1 | no | — |
| 348 | C8×D4 | — | 4 | 1 | no | — |
| 349 | C8×D4 | — | 4 | 1 | no | — |
| 350 | C8×D4 | — | 4 | 2 | no | — |
| 351 | C8×D4 | — | 4 | 2 | no | — |
| 352 | C8×D4 | — | 4 | 2 | no | — |
| 353 | C8×D4 | — | 4 | 1 | no | — |
| 354 | C8×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 355 | C8×D4 | #41 | 1 | 1 | yes | characteristic |
| 356 | #433 | — | 4 | 2 | no | — |
| 357 | #433 | — | 4 | 2 | no | — |
| 358 | #433 | — | 4 | 2 | no | — |
| 359 | #432 | — | 2 | 2 | no | — |
| 360 | #432 | — | 4 | 2 | no | — |
| 361 | #431 | — | 2 | 1 | no | — |
| 362 | #431 | — | 2 | 1 | no | — |
| 363 | #431 | — | 2 | 2 | no | — |
| 364 | #431 | — | 2 | 1 | no | — |
| 365 | #431 | — | 4 | 2 | no | — |
| 366 | #431 | C2×D4 | 1 | 1 | yes | characteristic |
| 367 | #431 | C2×D4 | 1 | 1 | yes | characteristic |
| 368 | C2×#108 | — | 2 | 1 | no | — |
| 369 | #427 | — | 2 | 1 | no | — |
| 370 | C2×#107 | #41 | 1 | 1 | yes | characteristic |
| 371 | #424 | — | 4 | 1 | no | — |
| 372 | #424 | — | 4 | 1 | no | — |
| 373 | #423 | — | 2 | 1 | no | — |
| 374 | #423 | — | 2 | 1 | no | — |
| 375 | C2×C4⋊C8 | — | 2 | 1 | no | — |
| 376 | #416 | — | 2 | 2 | no | — |
| 377 | C2×#102 | — | 2 | 1 | no | — |
| 378 | #408 | — | 4 | 1 | no | — |
| 379 | #408 | — | 4 | 1 | no | — |
| 380 | #407 | — | 4 | 1 | no | — |
| 381 | C2×C22⋊C8 | — | 4 | 1 | no | — |
| 382 | #405 | — | 2 | 1 | no | — |
| 383 | #405 | — | 2 | 2 | no | — |
| 384 | #405 | — | 4 | 2 | no | — |
| 385 | #405 | — | 4 | 2 | no | — |
| 386 | #405 | — | 4 | 1 | no | — |
| 387 | #405 | — | 4 | 1 | no | — |
| 388 | #405 | — | 4 | 1 | no | — |
| 389 | C4×M16 | — | 2 | 1 | no | — |
| 390 | C4×M16 | — | 2 | 1 | no | — |
| 391 | C4×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 392 | C2×#97 | — | 4 | 2 | no | — |
| 393 | C2×C4×C8 | — | 2 | 1 | no | — |
| 394 | C2×C4×C8 | — | 2 | 1 | no | — |
| 395 | C2×C4×C8 | — | 2 | 1 | no | — |
| 396 | C2×C4×C8 | — | 4 | 2 | no | — |
| 397 | C2×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 398 | C2×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 399 | C2×C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 400 | #367 | — | 2 | 1 | no | — |
| 401 | #367 | — | 2 | 1 | no | — |
| 402 | #366 | — | 2 | 2 | no | — |
| 403 | C4⋊C16 | — | 2 | 1 | no | — |
| 404 | C4⋊C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 405 | C4⋊C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 406 | #361 | — | 2 | 4 | no | — |
| 407 | #358 | — | 2 | 2 | no | — |
| 408 | #357 | — | 2 | 1 | no | — |
| 409 | #357 | — | 2 | 1 | no | — |
| 410 | #357 | — | 2 | 2 | no | — |
| 411 | #357 | — | 2 | 1 | no | — |
| 412 | #357 | — | 2 | 1 | no | — |
| 413 | C22⋊C16 | — | 2 | 1 | no | — |
| 414 | C22⋊C16 | — | 2 | 1 | no | — |
| 415 | #346 | — | 2 | 1 | no | — |
| 416 | #346 | — | 2 | 1 | no | — |
| 417 | #346 | — | 2 | 1 | no | — |
| 418 | #346 | — | 2 | 1 | no | — |
| 419 | C4×C16 | — | 2 | 1 | no | — |
| 420 | C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 421 | C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 422 | #341 | — | 2 | 1 | no | — |
| 423 | #335 | — | 2 | 2 | no | — |
| 424 | #335 | — | 2 | 2 | no | — |
| 425 | #335 | — | 4 | 1 | no | — |
| 426 | #335 | C22×C4 | 1 | 1 | yes | characteristic |
| 427 | #335 | C22×C4 | 1 | 1 | yes | characteristic |
| 428 | #334 | — | 2 | 1 | no | — |
| 429 | #334 | — | 2 | 1 | no | — |
| 430 | #334 | — | 2 | 1 | no | — |
| 431 | #334 | — | 2 | 1 | no | — |
| 432 | #334 | — | 2 | 1 | no | — |
| 433 | #334 | — | 4 | 1 | no | — |
| 434 | #334 | C2×D4 | 1 | 1 | yes | characteristic |
| 435 | #334 | C2×D4 | 1 | 1 | yes | characteristic |
| 436 | #334 | C2×D4 | 1 | 2 | yes | — |
| 437 | #333 | — | 2 | 1 | no | — |
| 438 | #333 | — | 2 | 1 | no | — |
| 439 | #331 | — | 2 | 1 | no | — |
| 440 | #331 | — | 2 | 1 | no | — |
| 441 | #329 | — | 4 | 2 | no | — |
| 442 | Q8⋊C8 | — | 2 | 2 | no | — |
| 443 | Q8⋊C8 | — | 2 | 2 | no | — |
| 444 | Q8⋊C8 | — | 2 | 2 | no | — |
| 445 | Q8⋊C8 | — | 2 | 2 | no | — |
| 446 | Q8⋊C8 | — | 4 | 1 | no | — |
| 447 | D4⋊C8 | — | 2 | 2 | no | — |
| 448 | D4⋊C8 | — | 2 | 2 | no | — |
| 449 | D4⋊C8 | — | 2 | 1 | no | — |
| 450 | D4⋊C8 | — | 2 | 1 | no | — |
| 451 | D4⋊C8 | — | 2 | 1 | no | — |
| 452 | D4⋊C8 | — | 2 | 1 | no | — |
| 453 | D4⋊C8 | — | 4 | 1 | no | — |
| 454 | D4⋊C8 | — | 4 | 1 | no | — |
| 455 | D4⋊C8 | — | 4 | 1 | no | — |
| 456 | D4⋊C8 | — | 4 | 1 | no | — |
| 457 | D4⋊C8 | — | 4 | 1 | no | — |
| 458 | #322 | — | 2 | 1 | no | — |
| 459 | #322 | — | 2 | 1 | no | — |
| 460 | #322 | — | 2 | 1 | no | — |
| 461 | #322 | — | 2 | 1 | no | — |
| 462 | #322 | — | 2 | 1 | no | — |
| 463 | #322 | — | 2 | 1 | no | — |
| 464 | #322 | — | 4 | 1 | no | — |
| 465 | #322 | C2×D4 | 1 | 1 | yes | characteristic |
| 466 | #322 | C2×D4 | 1 | 1 | yes | characteristic |
| 467 | #322 | C2×D4 | 1 | 1 | yes | characteristic |
| 468 | #322 | C2×D4 | 1 | 1 | yes | characteristic |
| 469 | C82 | — | 4 | 1 | no | — |
| 470 | C2×#41 | — | 2 | 2 | no | — |
| 471 | C2×#41 | — | 4 | 1 | no | — |
| 472 | C2×#41 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 473 | C22×D4 | — | 2 | 1 | no | — |
| 474 | C23×C4 | — | 4 | 1 | no | — |
| 475 | #135 | — | 4 | 2 | no | — |
| 476 | #135 | — | 4 | 2 | no | — |
| 477 | C2×Q16 | — | 2 | 1 | no | — |
| 478 | C2×Q16 | C4×D4 | 1 | 2 | yes | — |
| 479 | C2×SD16 | — | 2 | 2 | no | — |
| 480 | C2×SD16 | — | 2 | 2 | no | — |
| 481 | C2×SD16 | — | 4 | 1 | no | — |
| 482 | C2×D8 | — | 2 | 2 | no | — |
| 483 | C2×D8 | — | 2 | 1 | no | — |
| 484 | C2×D8 | — | 2 | 1 | no | — |
| 485 | C2×D8 | — | 2 | 1 | no | — |
| 486 | C2×D8 | — | 4 | 1 | no | — |
| 487 | C2×D8 | — | 4 | 1 | no | — |
| 488 | C2×D8 | C4×D4 | 1 | 1 | yes | characteristic |
| 489 | C2×D8 | C4×D4 | 1 | 1 | yes | characteristic |
| 490 | #131 | — | 8 | 1 | no | — |
| 491 | #131 | — | 8 | 1 | no | — |
| 492 | #131 | — | 16 | 2 | no | — |
| 493 | C2×M16 | — | 2 | 1 | no | — |
| 494 | C2×M16 | — | 2 | 2 | no | — |
| 495 | C2×M16 | — | 4 | 2 | no | — |
| 496 | C2×M16 | — | 4 | 1 | no | — |
| 497 | C2×M16 | — | 4 | 1 | no | — |
| 498 | C2×M16 | — | 4 | 1 | no | — |
| 499 | C2×M16 | — | 8 | 1 | no | — |
| 500 | C2×M16 | — | 8 | 2 | no | — |
| 501 | C2×M16 | — | 8 | 2 | no | — |
| 502 | C22×C8 | — | 2 | 1 | no | — |
| 503 | C22×C8 | — | 2 | 2 | no | — |
| 504 | C22×C8 | — | 2 | 1 | no | — |
| 505 | C22×C8 | — | 2 | 1 | no | — |
| 506 | C22×C8 | — | 2 | 1 | no | — |
| 507 | C22×C8 | — | 4 | 1 | no | — |
| 508 | C22×C8 | — | 4 | 1 | no | — |
| 509 | C22×C8 | — | 4 | 1 | no | — |
| 510 | C22×C8 | — | 4 | 1 | no | — |
| 511 | C22×C8 | — | 4 | 2 | no | — |
| 512 | C22×C8 | — | 4 | 1 | no | — |
| 513 | C22×C8 | — | 4 | 1 | no | — |
| 514 | C22×C8 | — | 8 | 1 | no | — |
| 515 | C22×C8 | — | 8 | 2 | no | — |
| 516 | C22×C8 | — | 8 | 2 | no | — |
| 517 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 518 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 519 | C4⋊Q8 | — | 2 | 1 | no | — |
| 520 | C4⋊Q8 | — | 2 | 1 | no | — |
| 521 | C4⋊Q8 | — | 2 | 1 | no | — |
| 522 | #127 | — | 2 | 1 | no | — |
| 523 | #126 | — | 4 | 2 | no | — |
| 524 | #126 | — | 4 | 2 | no | — |
| 525 | #126 | — | 4 | 2 | no | — |
| 526 | #125 | — | 2 | 2 | no | — |
| 527 | #125 | — | 4 | 2 | no | — |
| 528 | #125 | — | 4 | 1 | no | — |
| 529 | #124 | — | 2 | 2 | no | — |
| 530 | #124 | — | 4 | 2 | no | — |
| 531 | #124 | — | 4 | 1 | no | — |
| 532 | #123 | — | 4 | 2 | no | — |
| 533 | #123 | — | 4 | 2 | no | — |
| 534 | #123 | — | 4 | 2 | no | — |
| 535 | #123 | — | 4 | 2 | no | — |
| 536 | C22⋊Q8 | — | 2 | 2 | no | — |
| 537 | C22⋊Q8 | — | 2 | 2 | no | — |
| 538 | C22⋊Q8 | — | 4 | 2 | no | — |
| 539 | C22⋊Q8 | — | 4 | 1 | no | — |
| 540 | C22⋊Q8 | — | 4 | 1 | no | — |
| 541 | C22⋊Q8 | — | 4 | 1 | no | — |
| 542 | #121 | — | 2 | 2 | no | — |
| 543 | #121 | — | 4 | 2 | no | — |
| 544 | #121 | — | 4 | 1 | no | — |
| 545 | #121 | — | 4 | 1 | no | — |
| 546 | #121 | — | 4 | 1 | no | — |
| 547 | #121 | — | 4 | 1 | no | — |
| 548 | #120 | — | 4 | 2 | no | — |
| 549 | C4×Q8 | — | 2 | 2 | no | — |
| 550 | C4×Q8 | — | 2 | 2 | no | — |
| 551 | C4×Q8 | — | 4 | 1 | no | — |
| 552 | C4×Q8 | C4×D4 | 1 | 1 | yes | characteristic |
| 553 | C4×Q8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 554 | C4×D4 | — | 2 | 1 | no | — |
| 555 | C4×D4 | — | 2 | 1 | no | — |
| 556 | C4×D4 | — | 2 | 2 | no | — |
| 557 | C4×D4 | — | 2 | 1 | no | — |
| 558 | C4×D4 | — | 2 | 1 | no | — |
| 559 | C4×D4 | — | 2 | 1 | no | — |
| 560 | C4×D4 | — | 2 | 1 | no | — |
| 561 | C4×D4 | — | 4 | 2 | no | — |
| 562 | C4×D4 | — | 4 | 2 | no | — |
| 563 | C4×D4 | — | 4 | 2 | no | — |
| 564 | C4×D4 | — | 4 | 1 | no | — |
| 565 | C4×D4 | — | 4 | 1 | no | — |
| 566 | C4×D4 | — | 4 | 1 | no | — |
| 567 | C4×D4 | — | 4 | 1 | no | — |
| 568 | C4×D4 | C4×D4 | 1 | 1 | yes | characteristic |
| 569 | C4×D4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 570 | #117 | — | 2 | 1 | no | — |
| 571 | #117 | — | 2 | 2 | no | — |
| 572 | #117 | — | 4 | 2 | no | — |
| 573 | #117 | — | 4 | 2 | no | — |
| 574 | #117 | — | 4 | 2 | no | — |
| 575 | #117 | — | 4 | 1 | no | — |
| 576 | #117 | — | 4 | 1 | no | — |
| 577 | #117 | — | 4 | 1 | no | — |
| 578 | #117 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 579 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 580 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 581 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 582 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 583 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 584 | C2×C42 | — | 2 | 1 | no | — |
| 585 | C2×C42 | — | 4 | 2 | no | — |
| 586 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 587 | SD32 | — | 8 | 2 | no | — |
| 588 | D16 | — | 4 | 2 | no | — |
| 589 | D16 | — | 4 | 2 | no | — |
| 590 | M32 | — | 2 | 2 | no | — |
| 591 | M32 | — | 4 | 1 | no | — |
| 592 | M32 | — | 8 | 1 | no | — |
| 593 | C2×C16 | — | 2 | 1 | no | — |
| 594 | C2×C16 | — | 2 | 1 | no | — |
| 595 | C2×C16 | — | 2 | 1 | no | — |
| 596 | C2×C16 | — | 2 | 1 | no | — |
| 597 | C2×C16 | — | 4 | 1 | no | — |
| 598 | C2×C16 | — | 4 | 1 | no | — |
| 599 | #108 | — | 2 | 2 | no | — |
| 600 | #108 | — | 4 | 1 | no | — |
| 601 | #107 | — | 2 | 1 | no | — |
| 602 | #107 | — | 2 | 1 | no | — |
| 603 | #107 | — | 2 | 1 | no | — |
| 604 | #107 | — | 2 | 1 | no | — |
| 605 | #107 | — | 4 | 1 | no | — |
| 606 | #107 | C4×D4 | 1 | 2 | yes | — |
| 607 | #107 | C4×D4 | 1 | 1 | yes | characteristic |
| 608 | #107 | C4×D4 | 1 | 1 | yes | characteristic |
| 609 | #106 | — | 2 | 2 | no | — |
| 610 | #106 | — | 2 | 2 | no | — |
| 611 | #106 | — | 4 | 1 | no | — |
| 612 | C4⋊C8 | — | 2 | 1 | no | — |
| 613 | C4⋊C8 | — | 2 | 1 | no | — |
| 614 | C4⋊C8 | — | 2 | 1 | no | — |
| 615 | C4⋊C8 | — | 2 | 1 | no | — |
| 616 | C4⋊C8 | — | 2 | 1 | no | — |
| 617 | C4⋊C8 | — | 2 | 1 | no | — |
| 618 | C4⋊C8 | — | 2 | 2 | no | — |
| 619 | C4⋊C8 | — | 2 | 1 | no | — |
| 620 | C4⋊C8 | — | 4 | 1 | no | — |
| 621 | C4⋊C8 | — | 4 | 2 | no | — |
| 622 | C4⋊C8 | — | 4 | 2 | no | — |
| 623 | C4⋊C8 | — | 4 | 2 | no | — |
| 624 | C4⋊C8 | — | 4 | 2 | no | — |
| 625 | C4⋊C8 | — | 4 | 1 | no | — |
| 626 | C4⋊C8 | — | 4 | 1 | no | — |
| 627 | C4⋊C8 | — | 4 | 1 | no | — |
| 628 | C4⋊C8 | — | 4 | 1 | no | — |
| 629 | C4⋊C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 630 | C4⋊C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 631 | #103 | — | 2 | 2 | no | — |
| 632 | #103 | — | 2 | 2 | no | — |
| 633 | #103 | — | 2 | 2 | no | — |
| 634 | #103 | — | 2 | 2 | no | — |
| 635 | #103 | — | 4 | 1 | no | — |
| 636 | #102 | — | 2 | 2 | no | — |
| 637 | #102 | — | 2 | 2 | no | — |
| 638 | #102 | — | 2 | 1 | no | — |
| 639 | #102 | — | 2 | 1 | no | — |
| 640 | #102 | — | 2 | 1 | no | — |
| 641 | #102 | — | 2 | 1 | no | — |
| 642 | #102 | — | 4 | 1 | no | — |
| 643 | #102 | — | 4 | 1 | no | — |
| 644 | #102 | — | 4 | 1 | no | — |
| 645 | #102 | — | 4 | 1 | no | — |
| 646 | #102 | — | 4 | 1 | no | — |
| 647 | C22⋊C8 | — | 2 | 1 | no | — |
| 648 | C22⋊C8 | — | 2 | 1 | no | — |
| 649 | C22⋊C8 | — | 2 | 1 | no | — |
| 650 | C22⋊C8 | — | 2 | 1 | no | — |
| 651 | C22⋊C8 | — | 4 | 1 | no | — |
| 652 | C22⋊C8 | — | 4 | 1 | no | — |
| 653 | C22⋊C8 | — | 4 | 1 | no | — |
| 654 | C22⋊C8 | — | 4 | 1 | no | — |
| 655 | C22⋊C8 | — | 4 | 1 | no | — |
| 656 | C22⋊C8 | — | 4 | 2 | no | — |
| 657 | C22⋊C8 | — | 4 | 2 | no | — |
| 658 | C22⋊C8 | — | 4 | 2 | no | — |
| 659 | C22⋊C8 | — | 4 | 2 | no | — |
| 660 | C22⋊C8 | — | 4 | 1 | no | — |
| 661 | C22⋊C8 | — | 8 | 1 | no | — |
| 662 | C22⋊C8 | — | 8 | 1 | no | — |
| 663 | #97 | — | 2 | 2 | no | — |
| 664 | #97 | — | 4 | 2 | no | — |
| 665 | #97 | — | 4 | 2 | no | — |
| 666 | #97 | — | 4 | 2 | no | — |
| 667 | #97 | — | 4 | 1 | no | — |
| 668 | #97 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 669 | C4×C8 | — | 2 | 2 | no | — |
| 670 | C4×C8 | — | 2 | 1 | no | — |
| 671 | C4×C8 | — | 2 | 1 | no | — |
| 672 | C4×C8 | — | 2 | 1 | no | — |
| 673 | C4×C8 | — | 2 | 1 | no | — |
| 674 | C4×C8 | — | 2 | 1 | no | — |
| 675 | C4×C8 | — | 2 | 1 | no | — |
| 676 | C4×C8 | — | 2 | 1 | no | — |
| 677 | C4×C8 | — | 4 | 1 | no | — |
| 678 | C4×C8 | — | 4 | 2 | no | — |
| 679 | C4×C8 | — | 4 | 2 | no | — |
| 680 | C4×C8 | — | 4 | 2 | no | — |
| 681 | C4×C8 | — | 4 | 1 | no | — |
| 682 | C4×C8 | — | 4 | 1 | no | — |
| 683 | C4×C8 | #120 | 1 | 1 | yes | characteristic |
| 684 | C4×C8 | #120 | 1 | 1 | yes | characteristic |
| 685 | C4×C8 | #120 | 1 | 1 | yes | characteristic |
| 686 | C4×C8 | #120 | 1 | 1 | yes | characteristic |
| 687 | C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 688 | C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 689 | C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 690 | C4×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 691 | C24 | — | 4 | 1 | no | — |
| 692 | #41 | — | 4 | 1 | no | — |
| 693 | #41 | — | 4 | 1 | no | — |
| 694 | #41 | — | 4 | 4 | no | — |
| 695 | #41 | — | 8 | 2 | no | — |
| 696 | #41 | — | 16 | 1 | no | — |
| 697 | #41 | — | 16 | 1 | no | — |
| 698 | C2×Q8 | — | 2 | 2 | no | — |
| 699 | C2×Q8 | — | 4 | 1 | no | — |
| 700 | C2×Q8 | — | 4 | 1 | no | — |
| 701 | C2×Q8 | #442 | 1 | 1 | yes | characteristic |
| 702 | C2×D4 | — | 2 | 1 | no | — |
| 703 | C2×D4 | — | 2 | 1 | no | — |
| 704 | C2×D4 | — | 2 | 1 | no | — |
| 705 | C2×D4 | — | 4 | 2 | no | — |
| 706 | C2×D4 | — | 4 | 2 | no | — |
| 707 | C2×D4 | — | 4 | 2 | no | — |
| 708 | C2×D4 | — | 4 | 1 | no | — |
| 709 | C2×D4 | — | 4 | 1 | no | — |
| 710 | C2×D4 | — | 4 | 1 | no | — |
| 711 | C2×D4 | — | 4 | 1 | no | — |
| 712 | C2×D4 | — | 8 | 1 | no | — |
| 713 | C2×D4 | — | 8 | 1 | no | — |
| 714 | C2×D4 | #442 | 1 | 1 | yes | characteristic |
| 715 | C22×C4 | — | 2 | 1 | no | — |
| 716 | C22×C4 | — | 2 | 1 | no | — |
| 717 | C22×C4 | — | 2 | 1 | no | — |
| 718 | C22×C4 | — | 4 | 2 | no | — |
| 719 | C22×C4 | — | 4 | 2 | no | — |
| 720 | C22×C4 | — | 4 | 1 | no | — |
| 721 | C22×C4 | — | 4 | 1 | no | — |
| 722 | C22×C4 | — | 4 | 1 | no | — |
| 723 | C22×C4 | — | 4 | 1 | no | — |
| 724 | C22×C4 | — | 4 | 1 | no | — |
| 725 | C22×C4 | — | 8 | 1 | no | — |
| 726 | C22×C4 | — | 8 | 1 | no | — |
| 727 | C22×C4 | — | 8 | 1 | no | — |
| 728 | C22×C4 | — | 8 | 1 | no | — |
| 729 | C22×C4 | — | 8 | 1 | no | — |
| 730 | C22×C4 | #525 | 1 | 1 | yes | characteristic |
| 731 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 732 | C22×C4 | #575 | 1 | 1 | yes | characteristic |
| 733 | Q16 | — | 4 | 2 | no | — |
| 734 | Q16 | — | 4 | 1 | no | — |
| 735 | Q16 | — | 4 | 1 | no | — |
| 736 | SD16 | — | 4 | 4 | no | — |
| 737 | SD16 | — | 8 | 2 | no | — |
| 738 | SD16 | — | 8 | 2 | no | — |
| 739 | D8 | — | 2 | 1 | no | — |
| 740 | D8 | — | 2 | 1 | no | — |
| 741 | D8 | — | 2 | 1 | no | — |
| 742 | D8 | — | 4 | 2 | no | — |
| 743 | D8 | — | 4 | 2 | no | — |
| 744 | D8 | — | 4 | 1 | no | — |
| 745 | D8 | — | 4 | 1 | no | — |
| 746 | D8 | — | 8 | 2 | no | — |
| 747 | D8 | #443 | 1 | 2 | yes | — |
| 748 | M16 | — | 4 | 1 | no | — |
| 749 | M16 | — | 4 | 1 | no | — |
| 750 | M16 | — | 4 | 2 | no | — |
| 751 | M16 | — | 8 | 2 | no | — |
| 752 | M16 | — | 8 | 4 | no | — |
| 753 | M16 | — | 8 | 1 | no | — |
| 754 | M16 | — | 8 | 1 | no | — |
| 755 | M16 | — | 8 | 1 | no | — |
| 756 | M16 | — | 16 | 2 | no | — |
| 757 | M16 | — | 16 | 1 | no | — |
| 758 | C2×C8 | — | 2 | 1 | no | — |
| 759 | C2×C8 | — | 2 | 1 | no | — |
| 760 | C2×C8 | — | 2 | 1 | no | — |
| 761 | C2×C8 | — | 2 | 2 | no | — |
| 762 | C2×C8 | — | 2 | 1 | no | — |
| 763 | C2×C8 | — | 2 | 1 | no | — |
| 764 | C2×C8 | — | 2 | 1 | no | — |
| 765 | C2×C8 | — | 2 | 1 | no | — |
| 766 | C2×C8 | — | 2 | 1 | no | — |
| 767 | C2×C8 | — | 4 | 1 | no | — |
| 768 | C2×C8 | — | 4 | 1 | no | — |
| 769 | C2×C8 | — | 4 | 1 | no | — |
| 770 | C2×C8 | — | 4 | 1 | no | — |
| 771 | C2×C8 | — | 4 | 1 | no | — |
| 772 | C2×C8 | — | 4 | 1 | no | — |
| 773 | C2×C8 | — | 4 | 1 | no | — |
| 774 | C2×C8 | — | 4 | 1 | no | — |
| 775 | C2×C8 | — | 4 | 2 | no | — |
| 776 | C2×C8 | — | 4 | 1 | no | — |
| 777 | C2×C8 | — | 4 | 1 | no | — |
| 778 | C2×C8 | — | 8 | 1 | no | — |
| 779 | C2×C8 | — | 8 | 2 | no | — |
| 780 | C2×C8 | — | 8 | 1 | no | — |
| 781 | C2×C8 | — | 8 | 2 | no | — |
| 782 | C2×C8 | — | 8 | 2 | no | — |
| 783 | C2×C8 | — | 8 | 2 | no | — |
| 784 | C2×C8 | — | 8 | 2 | no | — |
| 785 | C2×C8 | — | 8 | 4 | no | — |
| 786 | C2×C8 | — | 8 | 1 | no | — |
| 787 | C2×C8 | — | 8 | 1 | no | — |
| 788 | C2×C8 | — | 8 | 1 | no | — |
| 789 | C2×C8 | — | 8 | 1 | no | — |
| 790 | C2×C8 | — | 16 | 1 | no | — |
| 791 | C2×C8 | — | 16 | 2 | no | — |
| 792 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 793 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 794 | C2×C8 | #525 | 1 | 1 | yes | characteristic |
| 795 | C2×C8 | #525 | 1 | 1 | yes | characteristic |
| 796 | C4⋊C4 | — | 2 | 1 | no | — |
| 797 | C4⋊C4 | — | 2 | 1 | no | — |
| 798 | C4⋊C4 | — | 2 | 1 | no | — |
| 799 | C4⋊C4 | — | 2 | 1 | no | — |
| 800 | C4⋊C4 | — | 2 | 2 | no | — |
| 801 | C4⋊C4 | — | 4 | 2 | no | — |
| 802 | C4⋊C4 | — | 4 | 2 | no | — |
| 803 | C4⋊C4 | — | 4 | 2 | no | — |
| 804 | C4⋊C4 | — | 4 | 2 | no | — |
| 805 | C4⋊C4 | — | 4 | 1 | no | — |
| 806 | C4⋊C4 | — | 4 | 2 | no | — |
| 807 | C4⋊C4 | — | 4 | 1 | no | — |
| 808 | C4⋊C4 | — | 4 | 1 | no | — |
| 809 | C4⋊C4 | — | 4 | 1 | no | — |
| 810 | C4⋊C4 | — | 4 | 2 | no | — |
| 811 | C4⋊C4 | — | 4 | 1 | no | — |
| 812 | C4⋊C4 | — | 4 | 1 | no | — |
| 813 | C4⋊C4 | #442 | 1 | 1 | yes | characteristic |
| 814 | C4⋊C4 | #442 | 1 | 1 | yes | characteristic |
| 815 | C22⋊C4 | — | 2 | 1 | no | — |
| 816 | C22⋊C4 | — | 2 | 1 | no | — |
| 817 | C22⋊C4 | — | 2 | 1 | no | — |
| 818 | C22⋊C4 | — | 4 | 2 | no | — |
| 819 | C22⋊C4 | — | 4 | 2 | no | — |
| 820 | C22⋊C4 | — | 4 | 2 | no | — |
| 821 | C22⋊C4 | — | 4 | 2 | no | — |
| 822 | C22⋊C4 | — | 4 | 2 | no | — |
| 823 | C22⋊C4 | — | 4 | 2 | no | — |
| 824 | C22⋊C4 | — | 4 | 2 | no | — |
| 825 | C22⋊C4 | — | 4 | 1 | no | — |
| 826 | C22⋊C4 | — | 4 | 1 | no | — |
| 827 | C22⋊C4 | — | 4 | 1 | no | — |
| 828 | C22⋊C4 | — | 4 | 1 | no | — |
| 829 | C22⋊C4 | — | 8 | 1 | no | — |
| 830 | C22⋊C4 | — | 8 | 1 | no | — |
| 831 | C42 | — | 2 | 1 | no | — |
| 832 | C42 | — | 2 | 1 | no | — |
| 833 | C42 | — | 2 | 1 | no | — |
| 834 | C42 | — | 4 | 2 | no | — |
| 835 | C42 | — | 4 | 2 | no | — |
| 836 | C42 | — | 4 | 2 | no | — |
| 837 | C42 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 838 | C42 | C2×#120 | 1 | 1 | yes | characteristic |
| 839 | C42 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 840 | C42 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 841 | C16 | — | 4 | 1 | no | — |
| 842 | C16 | — | 4 | 1 | no | — |
| 843 | C16 | — | 4 | 2 | no | — |
| 844 | C16 | — | 4 | 1 | no | — |
| 845 | C16 | — | 4 | 1 | no | — |
| 846 | C16 | — | 8 | 1 | no | — |
| 847 | C23 | — | 2 | 1 | no | — |
| 848 | C23 | — | 4 | 1 | no | — |
| 849 | C23 | — | 4 | 1 | no | — |
| 850 | C23 | — | 8 | 2 | no | — |
| 851 | C23 | — | 8 | 1 | no | — |
| 852 | C23 | — | 8 | 1 | no | — |
| 853 | C23 | — | 8 | 1 | no | — |
| 854 | C23 | — | 16 | 1 | no | — |
| 855 | C23 | #3114 | 1 | 1 | yes | characteristic |
| 856 | Q8 | — | 2 | 1 | no | — |
| 857 | Q8 | — | 2 | 1 | no | — |
| 858 | Q8 | — | 4 | 2 | no | — |
| 859 | Q8 | — | 4 | 2 | no | — |
| 860 | Q8 | — | 16 | 1 | no | — |
| 861 | Q8 | — | 16 | 1 | no | — |
| 862 | D4 | — | 2 | 1 | no | — |
| 863 | D4 | — | 2 | 1 | no | — |
| 864 | D4 | — | 2 | 2 | no | — |
| 865 | D4 | — | 4 | 2 | no | — |
| 866 | D4 | — | 4 | 1 | no | — |
| 867 | D4 | — | 4 | 1 | no | — |
| 868 | D4 | — | 4 | 1 | no | — |
| 869 | D4 | — | 8 | 2 | no | — |
| 870 | D4 | — | 8 | 4 | no | — |
| 871 | D4 | — | 8 | 1 | no | — |
| 872 | D4 | — | 8 | 1 | no | — |
| 873 | D4 | — | 8 | 1 | no | — |
| 874 | D4 | — | 8 | 1 | no | — |
| 875 | D4 | — | 16 | 1 | no | — |
| 876 | D4 | — | 16 | 2 | no | — |
| 877 | D4 | — | 16 | 2 | no | — |
| 878 | C2×C4 | — | 2 | 1 | no | — |
| 879 | C2×C4 | — | 2 | 1 | no | — |
| 880 | C2×C4 | — | 2 | 1 | no | — |
| 881 | C2×C4 | — | 2 | 1 | no | — |
| 882 | C2×C4 | — | 2 | 1 | no | — |
| 883 | C2×C4 | — | 2 | 1 | no | — |
| 884 | C2×C4 | — | 2 | 1 | no | — |
| 885 | C2×C4 | — | 4 | 1 | no | — |
| 886 | C2×C4 | — | 4 | 2 | no | — |
| 887 | C2×C4 | — | 4 | 1 | no | — |
| 888 | C2×C4 | — | 4 | 1 | no | — |
| 889 | C2×C4 | — | 4 | 1 | no | — |
| 890 | C2×C4 | — | 4 | 2 | no | — |
| 891 | C2×C4 | — | 4 | 2 | no | — |
| 892 | C2×C4 | — | 4 | 1 | no | — |
| 893 | C2×C4 | — | 8 | 1 | no | — |
| 894 | C2×C4 | — | 8 | 1 | no | — |
| 895 | C2×C4 | — | 8 | 1 | no | — |
| 896 | C2×C4 | — | 8 | 1 | no | — |
| 897 | C2×C4 | — | 8 | 1 | no | — |
| 898 | C2×C4 | — | 8 | 4 | no | — |
| 899 | C2×C4 | — | 8 | 1 | no | — |
| 900 | C2×C4 | — | 8 | 1 | no | — |
| 901 | C2×C4 | — | 8 | 1 | no | — |
| 902 | C2×C4 | — | 8 | 1 | no | — |
| 903 | C2×C4 | — | 8 | 1 | no | — |
| 904 | C2×C4 | — | 8 | 1 | no | — |
| 905 | C2×C4 | — | 8 | 1 | no | — |
| 906 | C2×C4 | — | 16 | 1 | no | — |
| 907 | C2×C4 | — | 16 | 1 | no | — |
| 908 | C2×C4 | — | 16 | 2 | no | — |
| 909 | C2×C4 | C4×#120 | 1 | 1 | yes | characteristic |
| 910 | C2×C4 | C2×#442 | 1 | 1 | yes | characteristic |
| 911 | C2×C4 | C4×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 912 | C2×C4 | #3003 | 1 | 1 | yes | characteristic |
| 913 | C2×C4 | #3006 | 1 | 1 | yes | characteristic |
| 914 | C2×C4 | #3109 | 1 | 1 | yes | characteristic |
| 915 | C8 | — | 2 | 1 | no | — |
| 916 | C8 | — | 2 | 1 | no | — |
| 917 | C8 | — | 2 | 1 | no | — |
| 918 | C8 | — | 4 | 1 | no | — |
| 919 | C8 | — | 4 | 1 | no | — |
| 920 | C8 | — | 4 | 2 | no | — |
| 921 | C8 | — | 4 | 1 | no | — |
| 922 | C8 | — | 4 | 1 | no | — |
| 923 | C8 | — | 4 | 1 | no | — |
| 924 | C8 | — | 4 | 1 | no | — |
| 925 | C8 | — | 8 | 1 | no | — |
| 926 | C8 | — | 8 | 1 | no | — |
| 927 | C8 | — | 8 | 2 | no | — |
| 928 | C8 | — | 8 | 1 | no | — |
| 929 | C8 | — | 8 | 2 | no | — |
| 930 | C8 | — | 8 | 1 | no | — |
| 931 | C8 | — | 8 | 1 | no | — |
| 932 | C8 | — | 16 | 1 | no | — |
| 933 | C8 | C2×#443 | 1 | 1 | yes | characteristic |
| 934 | C8 | #2955 | 1 | 1 | yes | characteristic |
| 935 | C22 | — | 2 | 1 | no | — |
| 936 | C22 | — | 2 | 1 | no | — |
| 937 | C22 | — | 2 | 1 | no | — |
| 938 | C22 | — | 4 | 1 | no | — |
| 939 | C22 | — | 4 | 1 | no | — |
| 940 | C22 | — | 4 | 1 | no | — |
| 941 | C22 | — | 4 | 2 | no | — |
| 942 | C22 | — | 8 | 1 | no | — |
| 943 | C22 | — | 8 | 1 | no | — |
| 944 | C22 | — | 8 | 1 | no | — |
| 945 | C22 | — | 8 | 1 | no | — |
| 946 | C22 | — | 8 | 1 | no | — |
| 947 | C22 | — | 16 | 2 | no | — |
| 948 | C22 | — | 16 | 2 | no | — |
| 949 | C22 | — | 16 | 1 | no | — |
| 950 | C22 | — | 16 | 1 | no | — |
| 951 | C22 | — | 16 | 1 | no | — |
| 952 | C22 | #21452 | 1 | 1 | yes | characteristic |
| 953 | C4 | — | 2 | 1 | no | — |
| 954 | C4 | — | 2 | 1 | no | — |
| 955 | C4 | — | 2 | 1 | no | — |
| 956 | C4 | — | 2 | 1 | no | — |
| 957 | C4 | — | 4 | 1 | no | — |
| 958 | C4 | — | 4 | 1 | no | — |
| 959 | C4 | — | 4 | 1 | no | — |
| 960 | C4 | — | 8 | 1 | no | — |
| 961 | C4 | — | 8 | 1 | no | — |
| 962 | C4 | — | 8 | 2 | no | — |
| 963 | C4 | — | 8 | 2 | no | — |
| 964 | C4 | — | 16 | 1 | no | — |
| 965 | C4 | #21466 | 1 | 1 | yes | characteristic |
| 966 | C4 | #21478 | 1 | 1 | yes | characteristic |
| 967 | C4 | #33468 | 1 | 1 | yes | characteristic |
| 968 | C4 | #33468 | 1 | 1 | yes | characteristic |
| 969 | C2 | — | 4 | 1 | no | — |
| 970 | C2 | — | 8 | 1 | no | — |
| 971 | C2 | — | 8 | 2 | no | — |
| 972 | C2 | — | 16 | 1 | no | — |
| 973 | C2 | — | 32 | 1 | no | — |
| 974 | C2 | #210356 | 1 | 1 | yes | characteristic |
| 975 | C2 | #495727 | 1 | 1 | yes | characteristic |
| 976 | C2 | #495737 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | #21452 |
| commutator | C4×C8 | C23×C4 |
| Frattini, cosocle | C2×C4×C8 | C24 |
| prime radical | #489290 | C2 |
| LCS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C2×C42 ◁ #17320 ◁ G | |
| LECS | G ▷ C2×C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #6345808 | C2 | semidirect |
| 3. #483990 | C2 | semidirect |
| 4. #483875 | C2 | semidirect |
| 5. #211944 | C2 | semidirect |
| 6. #137502 | C2 | semidirect |
| 7. #137056 | C2 | semidirect |
| 8. #137039 | C2 | semidirect |
| 9. #136568 | C2 | semidirect |
| 10. #136482 | C2 | semidirect |
| 11. #136465 | C2 | semidirect |
| 12. #131818 | C2 | semidirect |
| 13. #129034 | C2 | semidirect |
| 14. #128692 | C2 | semidirect |
| 15. #128636 | C2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #6345808 | 2 |
| #489290 | 2 |
| #483990 | 2 |
| #483875 | 2 |
| #211944 | 2 |
| #137502 | 2 |
| #137056 | 2 |
| #137039 | 2 |
| #136568 | 2 |
| #136482 | 2 |
| #136465 | 2 |
| #131818 | 2 |
| #129034 | 2 |
| #128692 | 2 |
| #128636 | 2 |