Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
3143 conjugacy classes of subgroups.
The subgroup lattice has 1166 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #41×D16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×D4×D16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | D8×AGL(1,ℤ/8) | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | SD16×D16 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | D8×D16 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #492296 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #492224 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #491776 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #491712 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #491556 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #491155 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #491085 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #490777 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #489931 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #489691 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | M16×D16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | C16×AGL(1,ℤ/8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | C23×D16 | — | 2 | 1 | no | — |
| 19 | D8×#41 | C22 | 1 | 2 | yes | complemented |
| 20 | D4×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 21 | C2×D4×D8 | C22 | 1 | 2 | yes | complemented |
| 22 | #33958 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | Q8×D16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #33925 | C22 | 1 | 2 | yes | complemented |
| 25 | #33901 | — | 2 | 1 | no | — |
| 26 | #33901 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #33861 | — | 2 | 2 | no | — |
| 28 | #33861 | C22 | 1 | 2 | yes | complemented |
| 29 | D4×D16 | — | 2 | 1 | no | — |
| 30 | D4×D16 | — | 2 | 2 | no | — |
| 31 | D4×D16 | — | 2 | 1 | no | — |
| 32 | D4×D16 | — | 2 | 1 | no | — |
| 33 | D4×D16 | C22 | 1 | 2 | yes | — |
| 34 | D4×D16 | C22 | 1 | 4 | yes | complemented |
| 35 | D4×D16 | C22 | 1 | 2 | yes | complemented |
| 36 | D4×D16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #33771 | C22 | 1 | 2 | yes | complemented |
| 38 | #33733 | — | 2 | 1 | no | — |
| 39 | #33733 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C2×#2246 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #33660 | — | 2 | 2 | no | — |
| 42 | #33660 | C22 | 1 | 2 | yes | complemented |
| 43 | C2×#2215 | — | 2 | 1 | no | — |
| 44 | C2×#2206 | C22 | 1 | 2 | yes | complemented |
| 45 | C2×#2184 | — | 2 | 2 | no | — |
| 46 | C16×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×C4×D16 | — | 2 | 1 | no | — |
| 48 | C2×C4×D16 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×D4×C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | D8×SD16 | C22 | 1 | 4 | yes | complemented |
| 51 | D82 | C22 | 1 | 4 | yes | complemented |
| 52 | #19885 | C22 | 1 | 4 | yes | complemented |
| 53 | #19883 | C22 | 1 | 4 | yes | complemented |
| 54 | #19756 | — | 2 | 4 | no | — |
| 55 | #19755 | — | 2 | 4 | no | — |
| 56 | #19629 | C22 | 1 | 2 | yes | complemented |
| 57 | #19267 | C22 | 1 | 2 | yes | complemented |
| 58 | #19255 | C22 | 1 | 2 | yes | complemented |
| 59 | #19162 | — | 2 | 2 | no | — |
| 60 | #18786 | — | 2 | 2 | no | — |
| 61 | #18746 | — | 2 | 2 | no | — |
| 62 | M16×D8 | C22 | 1 | 2 | yes | complemented |
| 63 | C8×AGL(1,ℤ/8) | C22 | 1 | 1 | yes | characteristic |
| 64 | #12525 | C22 | 1 | 4 | yes | complemented |
| 65 | #12515 | C22 | 1 | 2 | yes | complemented |
| 66 | #12503 | C22 | 1 | 2 | yes | complemented |
| 67 | #12491 | C22 | 1 | 4 | yes | complemented |
| 68 | #12483 | C22 | 1 | 4 | yes | complemented |
| 69 | #12467 | C22 | 1 | 4 | yes | complemented |
| 70 | #12451 | C22 | 1 | 2 | yes | complemented |
| 71 | #12439 | C22 | 1 | 2 | yes | complemented |
| 72 | #12439 | C22 | 1 | 2 | yes | complemented |
| 73 | #12430 | C22 | 1 | 2 | yes | complemented |
| 74 | #12430 | C22 | 1 | 2 | yes | complemented |
| 75 | #12430 | C22 | 1 | 2 | yes | complemented |
| 76 | #12424 | C22 | 1 | 4 | yes | complemented |
| 77 | #12416 | C22 | 1 | 4 | yes | complemented |
| 78 | #12368 | C22 | 1 | 4 | yes | complemented |
| 79 | #12368 | C22 | 1 | 4 | yes | complemented |
| 80 | #12352 | C22 | 1 | 4 | yes | complemented |
| 81 | #12340 | C22 | 1 | 4 | yes | complemented |
| 82 | #12328 | C22 | 1 | 4 | yes | complemented |
| 83 | #12316 | C22 | 1 | 4 | yes | complemented |
| 84 | #12316 | C22 | 1 | 4 | yes | complemented |
| 85 | #12316 | C22 | 1 | 4 | yes | complemented |
| 86 | #12081 | C22 | 1 | 2 | yes | complemented |
| 87 | #12069 | C22 | 1 | 4 | yes | complemented |
| 88 | #12062 | C22 | 1 | 2 | yes | complemented |
| 89 | SD16⋊C16 | C22 | 1 | 2 | yes | complemented |
| 90 | C16×SD16 | C22 | 1 | 2 | yes | complemented |
| 91 | C8×D16 | C22 | 1 | 2 | yes | complemented |
| 92 | C16×D8 | C22 | 1 | 2 | yes | complemented |
| 93 | #12022 | C22 | 1 | 1 | yes | characteristic, complemented |
| 94 | #12015 | C22 | 1 | 1 | yes | characteristic, complemented |
| 95 | #11981 | C22 | 1 | 2 | yes | complemented |
| 96 | #11961 | C22 | 1 | 2 | yes | complemented |
| 97 | #11657 | C22 | 1 | 2 | yes | complemented |
| 98 | #11629 | C22 | 1 | 1 | yes | characteristic, complemented |
| 99 | #11621 | C22 | 1 | 1 | yes | characteristic, complemented |
| 100 | C16×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 101 | C22×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 102 | C23×D8 | — | 2 | 2 | no | — |
| 103 | D4×#41 | — | 2 | 2 | no | — |
| 104 | C2×D42 | — | 2 | 2 | no | — |
| 105 | C22×D16 | — | 2 | 2 | no | — |
| 106 | C22×D16 | — | 2 | 4 | no | — |
| 107 | C22×D16 | — | 2 | 2 | no | — |
| 108 | C22×D16 | — | 2 | 1 | no | — |
| 109 | C22×D16 | — | 2 | 1 | no | — |
| 110 | C22×D16 | — | 2 | 1 | no | — |
| 111 | C22×D16 | — | 2 | 2 | no | — |
| 112 | C22×D16 | — | 4 | 8 | no | — |
| 113 | C22×D16 | D4 | 1 | 1 | yes | characteristic |
| 114 | C23×C16 | — | 2 | 1 | no | — |
| 115 | #3391 | C23 | 1 | 2 | yes | complemented |
| 116 | Q8×D8 | C23 | 1 | 2 | yes | complemented |
| 117 | #3358 | — | 2 | 2 | no | — |
| 118 | #3334 | — | 2 | 2 | no | — |
| 119 | #3334 | C23 | 1 | 2 | yes | complemented |
| 120 | #3294 | — | 2 | 2 | no | — |
| 121 | #3294 | — | 4 | 2 | no | — |
| 122 | D4×SD16 | — | 2 | 4 | no | — |
| 123 | D4×D8 | — | 2 | 4 | no | — |
| 124 | D4×D8 | — | 2 | 4 | no | — |
| 125 | D4×D8 | — | 2 | 2 | no | — |
| 126 | D4×D8 | — | 2 | 2 | no | — |
| 127 | D4×D8 | — | 2 | 2 | no | — |
| 128 | D4×D8 | — | 4 | 2 | no | — |
| 129 | D4×D8 | C23 | 1 | 4 | yes | — |
| 130 | D4×D8 | C23 | 1 | 4 | yes | — |
| 131 | D4×D8 | C23 | 1 | 2 | yes | complemented |
| 132 | #3274 | — | 2 | 4 | no | — |
| 133 | #3272 | — | 2 | 4 | no | — |
| 134 | #3265 | — | 4 | 4 | no | — |
| 135 | #3264 | — | 4 | 4 | no | — |
| 136 | #3205 | — | 2 | 2 | no | — |
| 137 | #3169 | — | 2 | 2 | no | — |
| 138 | #3169 | C23 | 1 | 2 | yes | — |
| 139 | #3151 | — | 2 | 2 | no | — |
| 140 | C2×#493 | C23 | 1 | 2 | yes | — |
| 141 | #3100 | — | 2 | 2 | no | — |
| 142 | #3100 | — | 4 | 2 | no | — |
| 143 | #3055 | — | 4 | 2 | no | — |
| 144 | C2×#466 | — | 2 | 2 | no | — |
| 145 | #3038 | — | 2 | 2 | no | — |
| 146 | #3036 | — | 2 | 2 | no | — |
| 147 | C2×#459 | — | 2 | 2 | no | — |
| 148 | #3006 | — | 4 | 2 | no | — |
| 149 | #3003 | — | 4 | 2 | no | — |
| 150 | C2×#447 | — | 4 | 2 | no | — |
| 151 | C8×#41 | C23 | 1 | 1 | yes | characteristic |
| 152 | C4×AGL(1,ℤ/8) | D4 | 1 | 1 | yes | characteristic |
| 153 | C2×C4×D8 | — | 2 | 2 | no | — |
| 154 | C2×C4×D8 | C23 | 1 | 2 | yes | — |
| 155 | D4×M16 | — | 2 | 2 | no | — |
| 156 | C2×C8×D4 | C23 | 1 | 1 | yes | characteristic |
| 157 | #2252 | — | 2 | 1 | no | — |
| 158 | #2252 | C23 | 1 | 1 | yes | characteristic, complemented |
| 159 | #2246 | — | 2 | 1 | no | — |
| 160 | #2246 | — | 2 | 1 | no | — |
| 161 | #2246 | — | 2 | 1 | no | — |
| 162 | #2246 | C23 | 1 | 2 | yes | — |
| 163 | #2246 | C23 | 1 | 2 | yes | — |
| 164 | #2246 | C23 | 1 | 1 | yes | characteristic, complemented |
| 165 | #2246 | C23 | 1 | 4 | yes | complemented |
| 166 | #2240 | — | 2 | 2 | no | — |
| 167 | #2240 | C23 | 1 | 2 | yes | complemented |
| 168 | #2240 | C23 | 1 | 4 | yes | complemented |
| 169 | #2232 | — | 2 | 2 | no | — |
| 170 | #2232 | — | 2 | 2 | no | — |
| 171 | #2232 | — | 2 | 2 | no | — |
| 172 | #2224 | — | 2 | 2 | no | — |
| 173 | #2224 | — | 2 | 2 | no | — |
| 174 | #2224 | C23 | 1 | 2 | yes | complemented |
| 175 | #2224 | C23 | 1 | 2 | yes | complemented |
| 176 | #2215 | — | 2 | 1 | no | — |
| 177 | #2215 | — | 2 | 1 | no | — |
| 178 | #2215 | — | 2 | 1 | no | — |
| 179 | #2215 | — | 2 | 2 | no | — |
| 180 | #2215 | — | 2 | 2 | no | — |
| 181 | #2215 | — | 2 | 4 | no | — |
| 182 | #2215 | — | 2 | 1 | no | — |
| 183 | #2215 | — | 2 | 2 | no | — |
| 184 | #2206 | — | 2 | 2 | no | — |
| 185 | #2206 | — | 2 | 2 | no | — |
| 186 | #2206 | — | 2 | 2 | no | — |
| 187 | #2206 | — | 2 | 2 | no | — |
| 188 | #2206 | — | 4 | 2 | no | — |
| 189 | #2206 | C23 | 1 | 4 | yes | — |
| 190 | #2206 | C23 | 1 | 4 | yes | — |
| 191 | #2206 | C23 | 1 | 2 | yes | complemented |
| 192 | #2206 | C23 | 1 | 2 | yes | complemented |
| 193 | #2184 | — | 2 | 2 | no | — |
| 194 | #2184 | — | 2 | 4 | no | — |
| 195 | #2184 | — | 2 | 4 | no | — |
| 196 | #2184 | — | 2 | 4 | no | — |
| 197 | #2184 | — | 2 | 4 | no | — |
| 198 | #2184 | — | 2 | 2 | no | — |
| 199 | #2184 | — | 2 | 2 | no | — |
| 200 | #2184 | — | 4 | 2 | no | — |
| 201 | Q8×C16 | C23 | 1 | 1 | yes | characteristic, complemented |
| 202 | Q8×C16 | C23 | 1 | 1 | yes | characteristic, complemented |
| 203 | C4×D16 | — | 2 | 1 | no | — |
| 204 | C4×D16 | — | 2 | 2 | no | — |
| 205 | C4×D16 | — | 2 | 2 | no | — |
| 206 | C4×D16 | — | 2 | 1 | no | — |
| 207 | C4×D16 | — | 2 | 2 | no | — |
| 208 | C4×D16 | — | 2 | 1 | no | — |
| 209 | C4×D16 | — | 2 | 1 | no | — |
| 210 | C4×D16 | D4 | 1 | 2 | yes | — |
| 211 | C4×D16 | D4 | 1 | 1 | yes | characteristic |
| 212 | C4×D16 | D4 | 1 | 1 | yes | characteristic |
| 213 | C4×D16 | C23 | 1 | 1 | yes | characteristic |
| 214 | C4×D16 | C23 | 1 | 2 | yes | — |
| 215 | C4×D16 | C23 | 1 | 1 | yes | characteristic |
| 216 | D4×C16 | — | 2 | 1 | no | — |
| 217 | D4×C16 | — | 2 | 1 | no | — |
| 218 | D4×C16 | — | 2 | 1 | no | — |
| 219 | D4×C16 | — | 2 | 1 | no | — |
| 220 | D4×C16 | C23 | 1 | 2 | yes | — |
| 221 | D4×C16 | C23 | 1 | 2 | yes | — |
| 222 | D4×C16 | C23 | 1 | 1 | yes | characteristic, complemented |
| 223 | D4×C16 | C23 | 1 | 1 | yes | characteristic, complemented |
| 224 | #2162 | — | 2 | 1 | no | — |
| 225 | #2162 | C23 | 1 | 1 | yes | characteristic |
| 226 | #2162 | C23 | 1 | 1 | yes | characteristic |
| 227 | C2×#366 | — | 2 | 1 | no | — |
| 228 | C2×#366 | D4 | 1 | 1 | yes | characteristic |
| 229 | C2×C4⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 230 | C2×#357 | — | 2 | 2 | no | — |
| 231 | C2×#357 | — | 2 | 2 | no | — |
| 232 | C2×#357 | D4 | 1 | 2 | yes | — |
| 233 | C2×C22⋊C16 | — | 2 | 1 | no | — |
| 234 | C2×C4×C16 | — | 2 | 1 | no | — |
| 235 | C2×C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 236 | #1721 | — | 2 | 4 | no | — |
| 237 | #1712 | C23 | 1 | 4 | yes | complemented |
| 238 | #1706 | C23 | 1 | 4 | yes | complemented |
| 239 | #1687 | — | 2 | 4 | no | — |
| 240 | #1685 | — | 2 | 4 | no | — |
| 241 | #1681 | — | 2 | 4 | no | — |
| 242 | #1673 | C23 | 1 | 4 | yes | — |
| 243 | #1668 | — | 2 | 2 | no | — |
| 244 | #1668 | C23 | 1 | 4 | yes | complemented |
| 245 | #1667 | — | 2 | 2 | no | — |
| 246 | #1667 | — | 2 | 4 | no | — |
| 247 | #1667 | C23 | 1 | 4 | yes | — |
| 248 | #1667 | C23 | 1 | 4 | yes | complemented |
| 249 | #1665 | — | 2 | 4 | no | — |
| 250 | #1639 | — | 2 | 4 | no | — |
| 251 | #1639 | — | 2 | 4 | no | — |
| 252 | #1627 | — | 2 | 4 | no | — |
| 253 | #1625 | — | 2 | 4 | no | — |
| 254 | #1621 | — | 2 | 4 | no | — |
| 255 | #1619 | — | 2 | 4 | no | — |
| 256 | #1619 | — | 2 | 4 | no | — |
| 257 | #1619 | — | 2 | 4 | no | — |
| 258 | #1589 | C23 | 1 | 4 | yes | complemented |
| 259 | #1581 | — | 2 | 4 | no | — |
| 260 | #1580 | D4 | 1 | 2 | yes | — |
| 261 | SD16⋊C8 | D4 | 1 | 2 | yes | — |
| 262 | C8×SD16 | C23 | 1 | 2 | yes | — |
| 263 | C8×D8 | C23 | 1 | 2 | yes | — |
| 264 | C8×D8 | C23 | 1 | 4 | yes | complemented |
| 265 | #1567 | C23 | 1 | 2 | yes | — |
| 266 | #1565 | D4 | 1 | 1 | yes | characteristic |
| 267 | #1547 | — | 2 | 2 | no | — |
| 268 | #1545 | — | 2 | 2 | no | — |
| 269 | #1486 | — | 2 | 2 | no | — |
| 270 | #1478 | D4 | 1 | 1 | yes | characteristic |
| 271 | #1477 | D4 | 1 | 1 | yes | characteristic |
| 272 | C8×M16 | C23 | 1 | 1 | yes | characteristic |
| 273 | #1371 | C23 | 1 | 2 | yes | complemented |
| 274 | #1371 | C23 | 1 | 2 | yes | complemented |
| 275 | #1370 | C23 | 1 | 2 | yes | complemented |
| 276 | #1367 | C23 | 1 | 2 | yes | complemented |
| 277 | #1364 | C23 | 1 | 4 | yes | complemented |
| 278 | #1361 | C23 | 1 | 4 | yes | complemented |
| 279 | #1361 | C23 | 1 | 4 | yes | complemented |
| 280 | #1361 | C23 | 1 | 4 | yes | complemented |
| 281 | Q8⋊C16 | C23 | 1 | 2 | yes | complemented |
| 282 | #1331 | C23 | 1 | 4 | yes | complemented |
| 283 | #1331 | C23 | 1 | 4 | yes | complemented |
| 284 | D4⋊C16 | C23 | 1 | 2 | yes | — |
| 285 | D4⋊C16 | C23 | 1 | 2 | yes | — |
| 286 | D4⋊C16 | C23 | 1 | 2 | yes | complemented |
| 287 | #1312 | C23 | 1 | 2 | yes | complemented |
| 288 | C8×C16 | C23 | 1 | 2 | yes | complemented |
| 289 | C22×#41 | — | 4 | 2 | no | — |
| 290 | C23×D4 | — | 4 | 2 | no | — |
| 291 | C23×D4 | — | 4 | 2 | no | — |
| 292 | C2×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 293 | C2×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 294 | C2×AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 295 | C2×AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 296 | C2×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 297 | C2×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 298 | C2×AGL(1,ℤ/8) | — | 8 | 16 | no | — |
| 299 | C2×AGL(1,ℤ/8) | D8 | 1 | 1 | yes | characteristic |
| 300 | C22×SD16 | — | 4 | 4 | no | — |
| 301 | C22×D8 | — | 2 | 4 | no | — |
| 302 | C22×D8 | — | 2 | 4 | no | — |
| 303 | C22×D8 | — | 2 | 2 | no | — |
| 304 | C22×D8 | — | 2 | 2 | no | — |
| 305 | C22×D8 | — | 2 | 2 | no | — |
| 306 | C22×D8 | — | 4 | 4 | no | — |
| 307 | C22×D8 | — | 4 | 2 | no | — |
| 308 | C22×D8 | — | 4 | 8 | no | — |
| 309 | C22×D8 | — | 4 | 4 | no | — |
| 310 | C22×D8 | — | 8 | 4 | no | — |
| 311 | C22×D8 | C2×D4 | 1 | 2 | yes | — |
| 312 | C22×M16 | — | 4 | 2 | no | — |
| 313 | C23×C8 | — | 2 | 1 | no | — |
| 314 | #550 | — | 2 | 2 | no | — |
| 315 | D4×Q8 | — | 2 | 2 | no | — |
| 316 | #548 | — | 4 | 2 | no | — |
| 317 | #547 | — | 2 | 2 | no | — |
| 318 | #547 | — | 4 | 2 | no | — |
| 319 | #546 | — | 4 | 2 | no | — |
| 320 | #546 | — | 8 | 2 | no | — |
| 321 | D42 | — | 2 | 2 | no | — |
| 322 | D42 | — | 2 | 4 | no | — |
| 323 | D42 | — | 2 | 4 | no | — |
| 324 | D42 | — | 4 | 2 | no | — |
| 325 | D42 | — | 4 | 2 | no | — |
| 326 | D42 | — | 4 | 2 | no | — |
| 327 | D42 | — | 4 | 4 | no | — |
| 328 | D42 | — | 8 | 2 | no | — |
| 329 | #532 | — | 2 | 2 | no | — |
| 330 | #532 | — | 4 | 2 | no | — |
| 331 | C2×#127 | — | 2 | 2 | no | — |
| 332 | #525 | — | 4 | 2 | no | — |
| 333 | #525 | — | 8 | 2 | no | — |
| 334 | C2×#121 | — | 4 | 2 | no | — |
| 335 | C2×#121 | — | 4 | 2 | no | — |
| 336 | C2×#120 | — | 8 | 2 | no | — |
| 337 | C4×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 338 | C2×C4×D4 | — | 2 | 2 | no | — |
| 339 | C2×C4×D4 | — | 4 | 2 | no | — |
| 340 | C2×C4×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 341 | C2×D16 | — | 2 | 4 | no | — |
| 342 | C2×D16 | — | 2 | 4 | no | — |
| 343 | C2×D16 | — | 2 | 4 | no | — |
| 344 | C2×D16 | — | 2 | 2 | no | — |
| 345 | C2×D16 | — | 2 | 2 | no | — |
| 346 | C2×D16 | — | 2 | 2 | no | — |
| 347 | C2×D16 | — | 2 | 2 | no | — |
| 348 | C2×D16 | — | 2 | 1 | no | — |
| 349 | C2×D16 | — | 2 | 2 | no | — |
| 350 | C2×D16 | — | 2 | 2 | no | — |
| 351 | C2×D16 | — | 2 | 1 | no | — |
| 352 | C2×D16 | — | 4 | 4 | no | — |
| 353 | C2×D16 | — | 4 | 4 | no | — |
| 354 | C2×D16 | — | 4 | 16 | no | — |
| 355 | C2×D16 | — | 4 | 8 | no | — |
| 356 | C2×D16 | — | 4 | 8 | no | — |
| 357 | C2×D16 | — | 4 | 4 | no | — |
| 358 | C2×D16 | — | 4 | 8 | no | — |
| 359 | C2×D16 | — | 8 | 2 | no | — |
| 360 | C2×D16 | C2×D4 | 1 | 2 | yes | — |
| 361 | C2×D16 | C2×D4 | 1 | 1 | yes | characteristic |
| 362 | C2×D16 | C2×D4 | 1 | 1 | yes | characteristic |
| 363 | C22×C16 | — | 2 | 1 | no | — |
| 364 | C22×C16 | — | 2 | 1 | no | — |
| 365 | C22×C16 | — | 2 | 2 | no | — |
| 366 | C22×C16 | — | 2 | 2 | no | — |
| 367 | C22×C16 | — | 2 | 1 | no | — |
| 368 | C22×C16 | — | 4 | 4 | no | — |
| 369 | C22×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 370 | C22×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 371 | #500 | — | 2 | 2 | no | — |
| 372 | #500 | C24 | 1 | 2 | yes | — |
| 373 | #496 | — | 4 | 4 | no | — |
| 374 | #493 | — | 2 | 2 | no | — |
| 375 | #493 | — | 2 | 2 | no | — |
| 376 | #493 | — | 2 | 4 | no | — |
| 377 | #493 | — | 2 | 4 | no | — |
| 378 | #493 | — | 2 | 2 | no | — |
| 379 | #493 | — | 2 | 2 | no | — |
| 380 | #493 | C24 | 1 | 2 | yes | — |
| 381 | #493 | C24 | 1 | 4 | yes | — |
| 382 | #492 | — | 2 | 4 | no | — |
| 383 | #486 | — | 2 | 2 | no | — |
| 384 | #486 | — | 2 | 4 | no | — |
| 385 | #486 | — | 4 | 2 | no | — |
| 386 | #480 | — | 4 | 2 | no | — |
| 387 | #480 | — | 4 | 2 | no | — |
| 388 | #480 | — | 4 | 2 | no | — |
| 389 | #474 | — | 2 | 2 | no | — |
| 390 | #474 | — | 2 | 2 | no | — |
| 391 | #474 | — | 4 | 2 | no | — |
| 392 | #474 | — | 4 | 2 | no | — |
| 393 | #469 | — | 4 | 4 | no | — |
| 394 | #468 | — | 4 | 4 | no | — |
| 395 | #466 | — | 2 | 2 | no | — |
| 396 | #466 | — | 2 | 2 | no | — |
| 397 | #466 | — | 2 | 2 | no | — |
| 398 | #466 | — | 2 | 2 | no | — |
| 399 | #466 | — | 2 | 4 | no | — |
| 400 | #466 | — | 2 | 4 | no | — |
| 401 | #466 | — | 4 | 2 | no | — |
| 402 | #466 | — | 4 | 4 | no | — |
| 403 | #466 | — | 4 | 4 | no | — |
| 404 | #465 | — | 4 | 4 | no | — |
| 405 | #463 | — | 4 | 4 | no | — |
| 406 | #461 | — | 2 | 4 | no | — |
| 407 | #460 | — | 2 | 4 | no | — |
| 408 | #460 | — | 4 | 2 | no | — |
| 409 | #459 | — | 2 | 4 | no | — |
| 410 | #459 | — | 2 | 4 | no | — |
| 411 | #459 | — | 2 | 2 | no | — |
| 412 | #459 | — | 2 | 2 | no | — |
| 413 | #459 | — | 2 | 4 | no | — |
| 414 | #459 | — | 2 | 4 | no | — |
| 415 | #459 | — | 4 | 2 | no | — |
| 416 | #459 | — | 4 | 2 | no | — |
| 417 | #459 | — | 4 | 2 | no | — |
| 418 | #459 | — | 4 | 2 | no | — |
| 419 | #459 | — | 4 | 2 | no | — |
| 420 | #459 | — | 8 | 2 | no | — |
| 421 | #450 | — | 4 | 4 | no | — |
| 422 | #450 | — | 4 | 4 | no | — |
| 423 | #449 | — | 4 | 4 | no | — |
| 424 | #449 | — | 4 | 4 | no | — |
| 425 | #448 | — | 4 | 4 | no | — |
| 426 | #447 | — | 4 | 2 | no | — |
| 427 | #447 | — | 4 | 4 | no | — |
| 428 | #447 | — | 4 | 4 | no | — |
| 429 | #447 | — | 4 | 4 | no | — |
| 430 | #447 | — | 4 | 4 | no | — |
| 431 | #447 | — | 4 | 2 | no | — |
| 432 | #447 | — | 4 | 2 | no | — |
| 433 | #447 | — | 4 | 4 | no | — |
| 434 | #447 | — | 4 | 4 | no | — |
| 435 | #447 | — | 4 | 4 | no | — |
| 436 | #447 | — | 8 | 2 | no | — |
| 437 | C8×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 438 | C8×Q8 | C24 | 1 | 1 | yes | characteristic |
| 439 | #442 | D8 | 1 | 2 | yes | — |
| 440 | #440 | D8 | 1 | 2 | yes | — |
| 441 | C4×SD16 | C2×D4 | 1 | 2 | yes | — |
| 442 | C4×D8 | — | 2 | 2 | no | — |
| 443 | C4×D8 | — | 2 | 2 | no | — |
| 444 | C4×D8 | — | 2 | 2 | no | — |
| 445 | C4×D8 | — | 2 | 2 | no | — |
| 446 | C4×D8 | — | 2 | 2 | no | — |
| 447 | C4×D8 | — | 2 | 2 | no | — |
| 448 | C4×D8 | — | 4 | 2 | no | — |
| 449 | C4×D8 | — | 4 | 2 | no | — |
| 450 | C4×D8 | — | 4 | 2 | no | — |
| 451 | C4×D8 | C2×D4 | 1 | 2 | yes | — |
| 452 | C4×D8 | C2×D4 | 1 | 2 | yes | — |
| 453 | C4×D8 | C2×D4 | 1 | 2 | yes | — |
| 454 | C4×D8 | C24 | 1 | 2 | yes | — |
| 455 | C4×D8 | C24 | 1 | 2 | yes | — |
| 456 | #436 | — | 2 | 4 | no | — |
| 457 | #435 | — | 4 | 4 | no | — |
| 458 | C8×D4 | — | 2 | 1 | no | — |
| 459 | C8×D4 | — | 2 | 1 | no | — |
| 460 | C8×D4 | — | 2 | 1 | no | — |
| 461 | C8×D4 | — | 2 | 4 | no | — |
| 462 | C8×D4 | — | 2 | 1 | no | — |
| 463 | C8×D4 | C2×D4 | 1 | 2 | yes | — |
| 464 | C8×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 465 | C8×D4 | C24 | 1 | 1 | yes | characteristic |
| 466 | C8×D4 | C24 | 1 | 2 | yes | — |
| 467 | #431 | — | 2 | 1 | no | — |
| 468 | #431 | C2×D4 | 1 | 1 | yes | characteristic |
| 469 | #431 | C2×D4 | 1 | 1 | yes | characteristic |
| 470 | #428 | D8 | 1 | 1 | yes | characteristic |
| 471 | C2×#107 | — | 2 | 2 | no | — |
| 472 | C2×#107 | C2×D4 | 1 | 2 | yes | — |
| 473 | #423 | — | 2 | 2 | no | — |
| 474 | C2×C4⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 475 | #418 | — | 4 | 2 | no | — |
| 476 | #418 | D8 | 1 | 1 | yes | characteristic |
| 477 | #417 | — | 4 | 2 | no | — |
| 478 | #417 | D8 | 1 | 1 | yes | characteristic |
| 479 | C2×#102 | — | 2 | 2 | no | — |
| 480 | C2×#102 | — | 4 | 2 | no | — |
| 481 | C2×#102 | — | 4 | 2 | no | — |
| 482 | #407 | — | 4 | 2 | no | — |
| 483 | C2×C22⋊C8 | — | 2 | 1 | no | — |
| 484 | C4×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 485 | C2×C4×C8 | — | 2 | 1 | no | — |
| 486 | C2×C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 487 | #366 | — | 2 | 1 | no | — |
| 488 | #366 | — | 2 | 1 | no | — |
| 489 | #366 | — | 2 | 2 | no | — |
| 490 | #366 | — | 2 | 2 | no | — |
| 491 | #366 | C2×D4 | 1 | 1 | yes | characteristic |
| 492 | #366 | C2×D4 | 1 | 1 | yes | characteristic |
| 493 | #366 | C2×D4 | 1 | 2 | yes | — |
| 494 | C4⋊C16 | — | 2 | 1 | no | — |
| 495 | C4⋊C16 | — | 2 | 1 | no | — |
| 496 | C4⋊C16 | — | 2 | 1 | no | — |
| 497 | C4⋊C16 | — | 2 | 1 | no | — |
| 498 | C4⋊C16 | C24 | 1 | 1 | yes | characteristic |
| 499 | C4⋊C16 | C24 | 1 | 1 | yes | characteristic |
| 500 | C4⋊C16 | C24 | 1 | 2 | yes | — |
| 501 | #357 | — | 2 | 2 | no | — |
| 502 | #357 | — | 2 | 2 | no | — |
| 503 | #357 | — | 2 | 2 | no | — |
| 504 | #357 | — | 2 | 2 | no | — |
| 505 | #357 | — | 2 | 2 | no | — |
| 506 | #357 | — | 2 | 4 | no | — |
| 507 | #357 | — | 2 | 4 | no | — |
| 508 | #357 | — | 2 | 2 | no | — |
| 509 | #357 | — | 4 | 4 | no | — |
| 510 | #357 | C2×D4 | 1 | 2 | yes | — |
| 511 | #357 | C2×D4 | 1 | 2 | yes | — |
| 512 | #357 | C2×D4 | 1 | 2 | yes | — |
| 513 | #357 | C2×D4 | 1 | 2 | yes | — |
| 514 | C22⋊C16 | — | 2 | 1 | no | — |
| 515 | C22⋊C16 | — | 2 | 1 | no | — |
| 516 | C22⋊C16 | — | 2 | 2 | no | — |
| 517 | C22⋊C16 | — | 2 | 2 | no | — |
| 518 | C22⋊C16 | — | 2 | 1 | no | — |
| 519 | C22⋊C16 | — | 2 | 1 | no | — |
| 520 | C4×C16 | — | 2 | 1 | no | — |
| 521 | C4×C16 | — | 2 | 1 | no | — |
| 522 | C4×C16 | — | 2 | 1 | no | — |
| 523 | C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 524 | C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 525 | C4×C16 | C24 | 1 | 2 | yes | — |
| 526 | C4×C16 | C24 | 1 | 1 | yes | characteristic |
| 527 | C4×C16 | C24 | 1 | 1 | yes | characteristic |
| 528 | #335 | — | 2 | 2 | no | — |
| 529 | #335 | C2×D4 | 1 | 2 | yes | — |
| 530 | #335 | C24 | 1 | 4 | yes | — |
| 531 | #334 | C2×D4 | 1 | 2 | yes | — |
| 532 | #332 | — | 2 | 4 | no | — |
| 533 | #331 | — | 2 | 4 | no | — |
| 534 | #331 | — | 2 | 4 | no | — |
| 535 | #331 | — | 2 | 4 | no | — |
| 536 | Q8⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 537 | D4⋊C8 | — | 2 | 4 | no | — |
| 538 | D4⋊C8 | — | 2 | 4 | no | — |
| 539 | D4⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 540 | D4⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 541 | D4⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 542 | #322 | C2×D4 | 1 | 2 | yes | — |
| 543 | C82 | C24 | 1 | 2 | yes | — |
| 544 | C25 | — | 8 | 2 | no | — |
| 545 | C2×#41 | — | 4 | 2 | no | — |
| 546 | C2×#41 | — | 4 | 2 | no | — |
| 547 | C2×#41 | — | 4 | 2 | no | — |
| 548 | C2×#41 | — | 8 | 2 | no | — |
| 549 | C2×#41 | — | 8 | 2 | no | — |
| 550 | C2×#41 | — | 8 | 8 | no | — |
| 551 | C2×#41 | — | 16 | 4 | no | — |
| 552 | C2×#41 | C2×D8 | 1 | 1 | yes | characteristic |
| 553 | C22×Q8 | — | 4 | 2 | no | — |
| 554 | C22×D4 | — | 2 | 2 | no | — |
| 555 | C22×D4 | — | 4 | 2 | no | — |
| 556 | C22×D4 | — | 4 | 4 | no | — |
| 557 | C22×D4 | — | 4 | 4 | no | — |
| 558 | C22×D4 | — | 4 | 4 | no | — |
| 559 | C22×D4 | — | 4 | 4 | no | — |
| 560 | C22×D4 | — | 4 | 2 | no | — |
| 561 | C22×D4 | — | 4 | 2 | no | — |
| 562 | C22×D4 | — | 4 | 2 | no | — |
| 563 | C22×D4 | — | 4 | 2 | no | — |
| 564 | C22×D4 | — | 8 | 4 | no | — |
| 565 | C22×D4 | — | 8 | 2 | no | — |
| 566 | C22×D4 | — | 8 | 2 | no | — |
| 567 | C22×D4 | — | 8 | 2 | no | — |
| 568 | C22×D4 | — | 8 | 8 | no | — |
| 569 | C22×D4 | — | 8 | 2 | no | — |
| 570 | C22×D4 | — | 8 | 2 | no | — |
| 571 | C22×D4 | — | 8 | 8 | no | — |
| 572 | C22×D4 | — | 16 | 4 | no | — |
| 573 | C22×D4 | — | 16 | 4 | no | — |
| 574 | C22×D4 | C2×D8 | 1 | 1 | yes | characteristic |
| 575 | C23×C4 | — | 2 | 1 | no | — |
| 576 | C23×C4 | — | 4 | 2 | no | — |
| 577 | C23×C4 | — | 8 | 2 | no | — |
| 578 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 579 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 580 | AGL(1,ℤ/8) | — | 8 | 16 | no | — |
| 581 | AGL(1,ℤ/8) | — | 8 | 16 | no | — |
| 582 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 583 | AGL(1,ℤ/8) | — | 16 | 4 | no | — |
| 584 | AGL(1,ℤ/8) | D16 | 1 | 8 | yes | direct product factor |
| 585 | C2×SD16 | — | 4 | 4 | no | — |
| 586 | C2×SD16 | — | 4 | 4 | no | — |
| 587 | C2×SD16 | — | 4 | 4 | no | — |
| 588 | C2×SD16 | — | 4 | 4 | no | — |
| 589 | C2×SD16 | — | 8 | 16 | no | — |
| 590 | C2×SD16 | C2×D8 | 1 | 2 | yes | — |
| 591 | C2×D8 | — | 2 | 4 | no | — |
| 592 | C2×D8 | — | 2 | 2 | no | — |
| 593 | C2×D8 | — | 2 | 4 | no | — |
| 594 | C2×D8 | — | 2 | 2 | no | — |
| 595 | C2×D8 | — | 2 | 4 | no | — |
| 596 | C2×D8 | — | 2 | 2 | no | — |
| 597 | C2×D8 | — | 4 | 2 | no | — |
| 598 | C2×D8 | — | 4 | 4 | no | — |
| 599 | C2×D8 | — | 4 | 4 | no | — |
| 600 | C2×D8 | — | 4 | 4 | no | — |
| 601 | C2×D8 | — | 4 | 4 | no | — |
| 602 | C2×D8 | — | 4 | 2 | no | — |
| 603 | C2×D8 | — | 4 | 2 | no | — |
| 604 | C2×D8 | — | 4 | 8 | no | — |
| 605 | C2×D8 | — | 4 | 8 | no | — |
| 606 | C2×D8 | — | 4 | 4 | no | — |
| 607 | C2×D8 | — | 4 | 4 | no | — |
| 608 | C2×D8 | — | 4 | 4 | no | — |
| 609 | C2×D8 | — | 4 | 2 | no | — |
| 610 | C2×D8 | — | 4 | 2 | no | — |
| 611 | C2×D8 | — | 4 | 4 | no | — |
| 612 | C2×D8 | — | 4 | 4 | no | — |
| 613 | C2×D8 | — | 8 | 4 | no | — |
| 614 | C2×D8 | — | 8 | 2 | no | — |
| 615 | C2×D8 | — | 8 | 4 | no | — |
| 616 | C2×D8 | — | 8 | 4 | no | — |
| 617 | C2×D8 | — | 8 | 16 | no | — |
| 618 | C2×D8 | — | 8 | 8 | no | — |
| 619 | C2×D8 | — | 8 | 16 | no | — |
| 620 | C2×D8 | — | 16 | 2 | no | — |
| 621 | C2×D8 | C2×D8 | 1 | 2 | yes | — |
| 622 | C2×D8 | C22×D4 | 1 | 2 | yes | — |
| 623 | C2×D8 | C22×D4 | 1 | 2 | yes | — |
| 624 | C2×M16 | — | 4 | 2 | no | — |
| 625 | C2×M16 | — | 4 | 4 | no | — |
| 626 | C2×M16 | — | 8 | 8 | no | — |
| 627 | C2×M16 | C2×D8 | 1 | 1 | yes | characteristic |
| 628 | C2×M16 | C2×D8 | 1 | 1 | yes | characteristic |
| 629 | C22×C8 | — | 2 | 1 | no | — |
| 630 | C22×C8 | — | 2 | 2 | no | — |
| 631 | C22×C8 | — | 2 | 2 | no | — |
| 632 | C22×C8 | — | 2 | 1 | no | — |
| 633 | C22×C8 | — | 2 | 1 | no | — |
| 634 | C22×C8 | — | 4 | 2 | no | — |
| 635 | C22×C8 | — | 4 | 2 | no | — |
| 636 | C22×C8 | — | 4 | 4 | no | — |
| 637 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 638 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 639 | C4⋊Q8 | — | 2 | 2 | no | — |
| 640 | C4⋊Q8 | — | 4 | 2 | no | — |
| 641 | #127 | — | 2 | 4 | no | — |
| 642 | #127 | — | 2 | 2 | no | — |
| 643 | #127 | — | 4 | 2 | no | — |
| 644 | #127 | — | 4 | 2 | no | — |
| 645 | #127 | — | 4 | 2 | no | — |
| 646 | #127 | — | 4 | 2 | no | — |
| 647 | #124 | — | 4 | 2 | no | — |
| 648 | #124 | — | 8 | 2 | no | — |
| 649 | #123 | — | 8 | 2 | no | — |
| 650 | #123 | — | 8 | 2 | no | — |
| 651 | #123 | — | 8 | 2 | no | — |
| 652 | C22⋊Q8 | — | 4 | 2 | no | — |
| 653 | C22⋊Q8 | — | 4 | 2 | no | — |
| 654 | C22⋊Q8 | — | 8 | 2 | no | — |
| 655 | C22⋊Q8 | — | 8 | 2 | no | — |
| 656 | #121 | — | 4 | 4 | no | — |
| 657 | #121 | — | 4 | 4 | no | — |
| 658 | #121 | — | 4 | 2 | no | — |
| 659 | #121 | — | 4 | 2 | no | — |
| 660 | #121 | — | 4 | 2 | no | — |
| 661 | #121 | — | 4 | 2 | no | — |
| 662 | #121 | — | 4 | 4 | no | — |
| 663 | #121 | — | 4 | 4 | no | — |
| 664 | #121 | — | 4 | 2 | no | — |
| 665 | #121 | — | 4 | 2 | no | — |
| 666 | #121 | — | 8 | 2 | no | — |
| 667 | #121 | — | 8 | 2 | no | — |
| 668 | #121 | — | 8 | 2 | no | — |
| 669 | #121 | — | 8 | 2 | no | — |
| 670 | #121 | — | 8 | 2 | no | — |
| 671 | #121 | — | 8 | 4 | no | — |
| 672 | #120 | — | 8 | 4 | no | — |
| 673 | #120 | — | 8 | 4 | no | — |
| 674 | #120 | — | 8 | 2 | no | — |
| 675 | #120 | — | 8 | 4 | no | — |
| 676 | #120 | — | 8 | 4 | no | — |
| 677 | #120 | — | 8 | 2 | no | — |
| 678 | #120 | — | 8 | 2 | no | — |
| 679 | C4×Q8 | C2×D8 | 1 | 1 | yes | characteristic |
| 680 | C4×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 681 | C4×D4 | — | 2 | 1 | no | — |
| 682 | C4×D4 | — | 2 | 1 | no | — |
| 683 | C4×D4 | — | 2 | 1 | no | — |
| 684 | C4×D4 | — | 2 | 2 | no | — |
| 685 | C4×D4 | — | 2 | 2 | no | — |
| 686 | C4×D4 | — | 2 | 1 | no | — |
| 687 | C4×D4 | — | 2 | 2 | no | — |
| 688 | C4×D4 | — | 2 | 2 | no | — |
| 689 | C4×D4 | — | 4 | 2 | no | — |
| 690 | C4×D4 | — | 4 | 2 | no | — |
| 691 | C4×D4 | — | 4 | 2 | no | — |
| 692 | C4×D4 | — | 4 | 2 | no | — |
| 693 | C4×D4 | — | 4 | 2 | no | — |
| 694 | C4×D4 | — | 4 | 2 | no | — |
| 695 | C4×D4 | — | 8 | 2 | no | — |
| 696 | C4×D4 | — | 8 | 2 | no | — |
| 697 | C4×D4 | — | 8 | 2 | no | — |
| 698 | C4×D4 | C2×D8 | 1 | 2 | yes | — |
| 699 | C4×D4 | C2×D8 | 1 | 1 | yes | characteristic |
| 700 | C4×D4 | C22×D4 | 1 | 2 | yes | — |
| 701 | C4×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 702 | #117 | — | 2 | 1 | no | — |
| 703 | #117 | C2×D8 | 1 | 1 | yes | characteristic |
| 704 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 705 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 706 | C2×C4⋊C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 707 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 708 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 709 | C2×C22⋊C4 | — | 8 | 2 | no | — |
| 710 | C2×C22⋊C4 | — | 8 | 2 | no | — |
| 711 | C2×C42 | — | 2 | 1 | no | — |
| 712 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 713 | D16 | — | 2 | 4 | no | — |
| 714 | D16 | — | 2 | 2 | no | — |
| 715 | D16 | — | 4 | 4 | no | — |
| 716 | D16 | — | 4 | 8 | no | — |
| 717 | D16 | — | 4 | 4 | no | — |
| 718 | D16 | — | 4 | 8 | no | — |
| 719 | D16 | — | 4 | 2 | no | — |
| 720 | D16 | — | 4 | 4 | no | — |
| 721 | D16 | — | 8 | 1 | no | — |
| 722 | D16 | — | 8 | 2 | no | — |
| 723 | D16 | — | 8 | 2 | no | — |
| 724 | D16 | — | 8 | 2 | no | — |
| 725 | D16 | — | 16 | 4 | no | — |
| 726 | D16 | AGL(1,ℤ/8) | 1 | 4 | yes | direct product factor |
| 727 | C2×C16 | — | 2 | 2 | no | — |
| 728 | C2×C16 | — | 2 | 1 | no | — |
| 729 | C2×C16 | — | 2 | 1 | no | — |
| 730 | C2×C16 | — | 2 | 2 | no | — |
| 731 | C2×C16 | — | 2 | 2 | no | — |
| 732 | C2×C16 | — | 4 | 1 | no | — |
| 733 | C2×C16 | — | 4 | 4 | no | — |
| 734 | C2×C16 | — | 4 | 2 | no | — |
| 735 | C2×C16 | — | 4 | 4 | no | — |
| 736 | C2×C16 | — | 4 | 2 | no | — |
| 737 | C2×C16 | — | 8 | 1 | no | — |
| 738 | C2×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 739 | C2×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 740 | C2×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 741 | C2×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 742 | #107 | — | 2 | 2 | no | — |
| 743 | #107 | — | 2 | 2 | no | — |
| 744 | #107 | — | 2 | 2 | no | — |
| 745 | #107 | — | 4 | 2 | no | — |
| 746 | #107 | — | 4 | 2 | no | — |
| 747 | #107 | C2×D8 | 1 | 2 | yes | — |
| 748 | #107 | C22×D4 | 1 | 2 | yes | — |
| 749 | #107 | C22×D4 | 1 | 2 | yes | — |
| 750 | #106 | C2×D8 | 1 | 2 | yes | — |
| 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 | — | 2 | 4 | no | — |
| 756 | C4⋊C8 | — | 4 | 2 | no | — |
| 757 | C4⋊C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 758 | C4⋊C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 759 | C4⋊C8 | C22×D4 | 1 | 2 | yes | — |
| 760 | #103 | — | 4 | 4 | no | — |
| 761 | #103 | C2×D8 | 1 | 2 | yes | — |
| 762 | #102 | — | 2 | 2 | no | — |
| 763 | #102 | — | 2 | 2 | no | — |
| 764 | #102 | — | 2 | 2 | no | — |
| 765 | #102 | — | 2 | 2 | no | — |
| 766 | #102 | — | 4 | 2 | no | — |
| 767 | #102 | — | 4 | 4 | no | — |
| 768 | #102 | — | 4 | 4 | no | — |
| 769 | #102 | — | 4 | 2 | no | — |
| 770 | #102 | — | 4 | 2 | no | — |
| 771 | #102 | — | 4 | 2 | no | — |
| 772 | #102 | — | 4 | 2 | no | — |
| 773 | #102 | — | 4 | 2 | no | — |
| 774 | #102 | — | 4 | 4 | no | — |
| 775 | #102 | — | 4 | 4 | no | — |
| 776 | #102 | — | 4 | 4 | no | — |
| 777 | #102 | — | 8 | 4 | no | — |
| 778 | #102 | C2×D8 | 1 | 2 | yes | — |
| 779 | #102 | C2×D8 | 1 | 2 | yes | — |
| 780 | #102 | C2×D8 | 1 | 2 | yes | — |
| 781 | C22⋊C8 | — | 2 | 1 | no | — |
| 782 | C22⋊C8 | — | 2 | 1 | no | — |
| 783 | C22⋊C8 | — | 2 | 2 | no | — |
| 784 | C22⋊C8 | — | 2 | 1 | no | — |
| 785 | C22⋊C8 | — | 2 | 2 | no | — |
| 786 | C22⋊C8 | — | 2 | 1 | no | — |
| 787 | C22⋊C8 | — | 4 | 4 | no | — |
| 788 | C22⋊C8 | — | 4 | 4 | no | — |
| 789 | #97 | C2×D8 | 1 | 2 | yes | — |
| 790 | C4×C8 | — | 2 | 1 | no | — |
| 791 | C4×C8 | — | 2 | 1 | no | — |
| 792 | C4×C8 | — | 2 | 1 | no | — |
| 793 | C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 794 | C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 795 | C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 796 | C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 797 | C4×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 798 | C4×C8 | C25 | 1 | 1 | yes | characteristic |
| 799 | C24 | — | 2 | 1 | no | — |
| 800 | C24 | — | 4 | 2 | no | — |
| 801 | C24 | — | 8 | 2 | no | — |
| 802 | C24 | — | 8 | 4 | no | — |
| 803 | C24 | — | 8 | 4 | no | — |
| 804 | C24 | — | 8 | 2 | no | — |
| 805 | C24 | — | 16 | 8 | no | — |
| 806 | C24 | — | 16 | 8 | no | — |
| 807 | C24 | — | 32 | 4 | no | — |
| 808 | #41 | — | 2 | 2 | no | — |
| 809 | #41 | — | 8 | 4 | no | — |
| 810 | #41 | — | 8 | 4 | no | — |
| 811 | #41 | — | 8 | 4 | no | — |
| 812 | #41 | — | 8 | 4 | no | — |
| 813 | #41 | — | 16 | 8 | no | — |
| 814 | #41 | — | 16 | 2 | no | — |
| 815 | #41 | — | 16 | 8 | no | — |
| 816 | #41 | — | 16 | 2 | no | — |
| 817 | #41 | C2×D16 | 1 | 4 | yes | complemented |
| 818 | C2×Q8 | — | 4 | 2 | no | — |
| 819 | C2×Q8 | — | 8 | 2 | no | — |
| 820 | C2×Q8 | — | 8 | 4 | no | — |
| 821 | C2×Q8 | — | 16 | 2 | no | — |
| 822 | C2×Q8 | C22×D8 | 1 | 1 | yes | characteristic |
| 823 | C2×D4 | — | 2 | 1 | no | — |
| 824 | C2×D4 | — | 2 | 2 | no | — |
| 825 | C2×D4 | — | 2 | 2 | no | — |
| 826 | C2×D4 | — | 2 | 2 | no | — |
| 827 | C2×D4 | — | 2 | 1 | no | — |
| 828 | C2×D4 | — | 4 | 4 | no | — |
| 829 | C2×D4 | — | 4 | 2 | no | — |
| 830 | C2×D4 | — | 4 | 4 | no | — |
| 831 | C2×D4 | — | 4 | 2 | no | — |
| 832 | C2×D4 | — | 4 | 2 | no | — |
| 833 | C2×D4 | — | 4 | 4 | no | — |
| 834 | C2×D4 | — | 4 | 4 | no | — |
| 835 | C2×D4 | — | 4 | 2 | no | — |
| 836 | C2×D4 | — | 8 | 2 | no | — |
| 837 | C2×D4 | — | 8 | 4 | no | — |
| 838 | C2×D4 | — | 8 | 4 | no | — |
| 839 | C2×D4 | — | 8 | 2 | no | — |
| 840 | C2×D4 | — | 8 | 4 | no | — |
| 841 | C2×D4 | — | 8 | 4 | no | — |
| 842 | C2×D4 | — | 8 | 2 | no | — |
| 843 | C2×D4 | — | 8 | 2 | no | — |
| 844 | C2×D4 | — | 8 | 8 | no | — |
| 845 | C2×D4 | — | 8 | 4 | no | — |
| 846 | C2×D4 | — | 8 | 8 | no | — |
| 847 | C2×D4 | — | 8 | 4 | no | — |
| 848 | C2×D4 | — | 8 | 4 | no | — |
| 849 | C2×D4 | — | 8 | 2 | no | — |
| 850 | C2×D4 | — | 8 | 8 | no | — |
| 851 | C2×D4 | — | 8 | 8 | no | — |
| 852 | C2×D4 | — | 8 | 4 | no | — |
| 853 | C2×D4 | — | 8 | 2 | no | — |
| 854 | C2×D4 | — | 8 | 2 | no | — |
| 855 | C2×D4 | — | 8 | 4 | no | — |
| 856 | C2×D4 | — | 8 | 4 | no | — |
| 857 | C2×D4 | — | 8 | 2 | no | — |
| 858 | C2×D4 | — | 8 | 2 | no | — |
| 859 | C2×D4 | — | 8 | 2 | no | — |
| 860 | C2×D4 | — | 16 | 2 | no | — |
| 861 | C2×D4 | — | 16 | 4 | no | — |
| 862 | C2×D4 | — | 16 | 4 | no | — |
| 863 | C2×D4 | — | 16 | 16 | no | — |
| 864 | C2×D4 | — | 16 | 8 | no | — |
| 865 | C2×D4 | — | 16 | 4 | no | — |
| 866 | C2×D4 | — | 16 | 4 | no | — |
| 867 | C2×D4 | — | 16 | 2 | no | — |
| 868 | C2×D4 | — | 16 | 8 | no | — |
| 869 | C2×D4 | — | 16 | 8 | no | — |
| 870 | C2×D4 | — | 16 | 8 | no | — |
| 871 | C2×D4 | — | 16 | 8 | no | — |
| 872 | C2×D4 | — | 32 | 2 | no | — |
| 873 | C2×D4 | C2×D16 | 1 | 4 | yes | complemented |
| 874 | C2×D4 | C22×D8 | 1 | 2 | yes | — |
| 875 | C2×D4 | C22×D8 | 1 | 1 | yes | characteristic |
| 876 | C22×C4 | — | 2 | 1 | no | — |
| 877 | C22×C4 | — | 2 | 1 | no | — |
| 878 | C22×C4 | — | 2 | 1 | no | — |
| 879 | C22×C4 | — | 2 | 2 | no | — |
| 880 | C22×C4 | — | 2 | 2 | no | — |
| 881 | C22×C4 | — | 2 | 1 | no | — |
| 882 | C22×C4 | — | 4 | 2 | no | — |
| 883 | C22×C4 | — | 4 | 2 | no | — |
| 884 | C22×C4 | — | 4 | 2 | no | — |
| 885 | C22×C4 | — | 4 | 2 | no | — |
| 886 | C22×C4 | — | 4 | 2 | no | — |
| 887 | C22×C4 | — | 4 | 2 | no | — |
| 888 | C22×C4 | — | 4 | 2 | no | — |
| 889 | C22×C4 | — | 8 | 2 | no | — |
| 890 | C22×C4 | — | 8 | 2 | no | — |
| 891 | C22×C4 | — | 8 | 2 | no | — |
| 892 | C22×C4 | — | 8 | 4 | no | — |
| 893 | C22×C4 | — | 8 | 4 | no | — |
| 894 | C22×C4 | — | 8 | 2 | no | — |
| 895 | C22×C4 | — | 16 | 8 | no | — |
| 896 | C22×C4 | D42 | 1 | 1 | yes | characteristic |
| 897 | C22×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 898 | C22×C4 | #576 | 1 | 1 | yes | characteristic |
| 899 | SD16 | — | 8 | 8 | no | — |
| 900 | SD16 | — | 8 | 8 | no | — |
| 901 | SD16 | — | 8 | 8 | no | — |
| 902 | SD16 | — | 16 | 4 | no | — |
| 903 | SD16 | C2×D16 | 1 | 8 | yes | complemented |
| 904 | D8 | — | 2 | 2 | no | — |
| 905 | D8 | — | 2 | 2 | no | — |
| 906 | D8 | — | 2 | 2 | no | — |
| 907 | D8 | — | 4 | 4 | no | — |
| 908 | D8 | — | 4 | 4 | no | — |
| 909 | D8 | — | 4 | 2 | no | — |
| 910 | D8 | — | 4 | 4 | no | — |
| 911 | D8 | — | 4 | 2 | no | — |
| 912 | D8 | — | 8 | 2 | no | — |
| 913 | D8 | — | 8 | 4 | no | — |
| 914 | D8 | — | 8 | 4 | no | — |
| 915 | D8 | — | 8 | 4 | no | — |
| 916 | D8 | — | 8 | 8 | no | — |
| 917 | D8 | — | 8 | 8 | no | — |
| 918 | D8 | — | 8 | 8 | no | — |
| 919 | D8 | — | 8 | 8 | no | — |
| 920 | D8 | — | 8 | 8 | no | — |
| 921 | D8 | — | 16 | 2 | no | — |
| 922 | D8 | — | 16 | 4 | no | — |
| 923 | D8 | — | 16 | 2 | no | — |
| 924 | D8 | — | 32 | 4 | no | — |
| 925 | D8 | C2×D16 | 1 | 8 | yes | complemented |
| 926 | D8 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | complemented |
| 927 | M16 | — | 2 | 2 | no | — |
| 928 | M16 | — | 8 | 4 | no | — |
| 929 | M16 | — | 8 | 8 | no | — |
| 930 | M16 | C2×D16 | 1 | 4 | yes | complemented |
| 931 | C2×C8 | — | 2 | 1 | no | — |
| 932 | C2×C8 | — | 2 | 1 | no | — |
| 933 | C2×C8 | — | 2 | 1 | no | — |
| 934 | C2×C8 | — | 2 | 1 | no | — |
| 935 | C2×C8 | — | 2 | 2 | no | — |
| 936 | C2×C8 | — | 2 | 2 | no | — |
| 937 | C2×C8 | — | 4 | 1 | no | — |
| 938 | C2×C8 | — | 4 | 4 | no | — |
| 939 | C2×C8 | — | 4 | 2 | no | — |
| 940 | C2×C8 | — | 4 | 1 | no | — |
| 941 | C2×C8 | — | 4 | 2 | no | — |
| 942 | C2×C8 | — | 4 | 2 | no | — |
| 943 | C2×C8 | — | 4 | 1 | no | — |
| 944 | C2×C8 | — | 4 | 4 | no | — |
| 945 | C2×C8 | — | 8 | 1 | no | — |
| 946 | C2×C8 | — | 8 | 8 | no | — |
| 947 | C2×C8 | D42 | 1 | 1 | yes | characteristic |
| 948 | C2×C8 | D42 | 1 | 1 | yes | characteristic |
| 949 | C2×C8 | C22×D8 | 1 | 2 | yes | — |
| 950 | C2×C8 | C22×D8 | 1 | 2 | yes | — |
| 951 | C2×C8 | C23×D4 | 1 | 1 | yes | characteristic |
| 952 | C2×C8 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 953 | C4⋊C4 | — | 2 | 1 | no | — |
| 954 | C4⋊C4 | — | 2 | 1 | no | — |
| 955 | C4⋊C4 | — | 2 | 1 | no | — |
| 956 | C4⋊C4 | — | 2 | 2 | no | — |
| 957 | C4⋊C4 | — | 2 | 2 | no | — |
| 958 | C4⋊C4 | — | 4 | 2 | no | — |
| 959 | C4⋊C4 | — | 4 | 2 | no | — |
| 960 | C4⋊C4 | — | 4 | 2 | no | — |
| 961 | C4⋊C4 | — | 8 | 2 | no | — |
| 962 | C4⋊C4 | — | 8 | 2 | no | — |
| 963 | C4⋊C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 964 | C4⋊C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 965 | C4⋊C4 | C22×D8 | 1 | 2 | yes | — |
| 966 | C22⋊C4 | — | 2 | 1 | no | — |
| 967 | C22⋊C4 | — | 2 | 2 | no | — |
| 968 | C22⋊C4 | — | 2 | 1 | no | — |
| 969 | C22⋊C4 | — | 2 | 2 | no | — |
| 970 | C22⋊C4 | — | 2 | 1 | no | — |
| 971 | C22⋊C4 | — | 4 | 2 | no | — |
| 972 | C22⋊C4 | — | 4 | 2 | no | — |
| 973 | C22⋊C4 | — | 4 | 2 | no | — |
| 974 | C22⋊C4 | — | 4 | 2 | no | — |
| 975 | C22⋊C4 | — | 8 | 2 | no | — |
| 976 | C22⋊C4 | — | 8 | 4 | no | — |
| 977 | C22⋊C4 | — | 8 | 4 | no | — |
| 978 | C22⋊C4 | — | 8 | 2 | no | — |
| 979 | C22⋊C4 | — | 8 | 2 | no | — |
| 980 | C22⋊C4 | — | 8 | 2 | no | — |
| 981 | C22⋊C4 | — | 8 | 2 | no | — |
| 982 | C22⋊C4 | — | 8 | 2 | no | — |
| 983 | C42 | — | 2 | 1 | no | — |
| 984 | C42 | — | 2 | 1 | no | — |
| 985 | C42 | — | 2 | 1 | no | — |
| 986 | C42 | D42 | 1 | 1 | yes | characteristic |
| 987 | C42 | C22×D8 | 1 | 1 | yes | characteristic |
| 988 | C42 | #576 | 1 | 1 | yes | characteristic |
| 989 | C42 | C23×D4 | 1 | 1 | yes | characteristic |
| 990 | C16 | — | 2 | 1 | no | — |
| 991 | C16 | — | 2 | 1 | no | — |
| 992 | C16 | — | 2 | 1 | no | — |
| 993 | C16 | — | 4 | 2 | no | — |
| 994 | C16 | — | 4 | 1 | no | — |
| 995 | C16 | — | 4 | 2 | no | — |
| 996 | C16 | — | 4 | 1 | no | — |
| 997 | C16 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 998 | C23 | — | 2 | 4 | no | — |
| 999 | C23 | — | 2 | 1 | no | — |
| 1000 | C23 | — | 2 | 2 | no | — |
| 1001 | C23 | — | 4 | 2 | no | — |
| 1002 | C23 | — | 4 | 2 | no | — |
| 1003 | C23 | — | 4 | 2 | no | — |
| 1004 | C23 | — | 4 | 2 | no | — |
| 1005 | C23 | — | 8 | 4 | no | — |
| 1006 | C23 | — | 8 | 4 | no | — |
| 1007 | C23 | — | 8 | 2 | no | — |
| 1008 | C23 | — | 8 | 4 | no | — |
| 1009 | C23 | — | 16 | 2 | no | — |
| 1010 | C23 | — | 16 | 4 | no | — |
| 1011 | C23 | — | 16 | 8 | no | — |
| 1012 | C23 | — | 16 | 8 | no | — |
| 1013 | C23 | — | 16 | 4 | no | — |
| 1014 | C23 | — | 16 | 4 | no | — |
| 1015 | C23 | — | 16 | 8 | no | — |
| 1016 | C23 | — | 16 | 4 | no | — |
| 1017 | C23 | — | 16 | 8 | no | — |
| 1018 | C23 | — | 16 | 4 | no | — |
| 1019 | C23 | — | 32 | 2 | no | — |
| 1020 | C23 | — | 32 | 4 | no | — |
| 1021 | C23 | — | 32 | 4 | no | — |
| 1022 | C23 | — | 32 | 32 | no | — |
| 1023 | C23 | D4×D8 | 1 | 1 | yes | characteristic |
| 1024 | Q8 | — | 2 | 1 | no | — |
| 1025 | Q8 | — | 8 | 2 | no | — |
| 1026 | Q8 | — | 8 | 2 | no | — |
| 1027 | Q8 | — | 16 | 4 | no | — |
| 1028 | Q8 | C22×D16 | 1 | 2 | yes | complemented |
| 1029 | D4 | — | 2 | 4 | no | — |
| 1030 | D4 | — | 2 | 4 | no | — |
| 1031 | D4 | — | 2 | 4 | no | — |
| 1032 | D4 | — | 2 | 2 | no | — |
| 1033 | D4 | — | 2 | 1 | no | — |
| 1034 | D4 | — | 4 | 2 | no | — |
| 1035 | D4 | — | 4 | 2 | no | — |
| 1036 | D4 | — | 4 | 2 | no | — |
| 1037 | D4 | — | 8 | 4 | no | — |
| 1038 | D4 | — | 8 | 4 | no | — |
| 1039 | D4 | — | 8 | 2 | no | — |
| 1040 | D4 | — | 8 | 2 | no | — |
| 1041 | D4 | — | 8 | 4 | no | — |
| 1042 | D4 | — | 8 | 2 | no | — |
| 1043 | D4 | — | 8 | 4 | no | — |
| 1044 | D4 | — | 8 | 4 | no | — |
| 1045 | D4 | — | 8 | 2 | no | — |
| 1046 | D4 | — | 16 | 4 | no | — |
| 1047 | D4 | — | 16 | 2 | no | — |
| 1048 | D4 | — | 16 | 4 | no | — |
| 1049 | D4 | — | 16 | 4 | no | — |
| 1050 | D4 | — | 16 | 4 | no | — |
| 1051 | D4 | — | 16 | 8 | no | — |
| 1052 | D4 | — | 16 | 8 | no | — |
| 1053 | D4 | — | 16 | 8 | no | — |
| 1054 | D4 | — | 16 | 8 | no | — |
| 1055 | D4 | — | 16 | 4 | no | — |
| 1056 | D4 | — | 16 | 4 | no | — |
| 1057 | D4 | — | 16 | 4 | no | — |
| 1058 | D4 | — | 16 | 4 | no | — |
| 1059 | D4 | — | 32 | 2 | no | — |
| 1060 | D4 | — | 32 | 2 | no | — |
| 1061 | D4 | C22×D16 | 1 | 4 | yes | — |
| 1062 | D4 | C22×D16 | 1 | 2 | yes | complemented |
| 1063 | C2×C4 | — | 2 | 1 | no | — |
| 1064 | C2×C4 | — | 2 | 4 | no | — |
| 1065 | C2×C4 | — | 2 | 1 | no | — |
| 1066 | C2×C4 | — | 2 | 1 | no | — |
| 1067 | C2×C4 | — | 2 | 1 | no | — |
| 1068 | C2×C4 | — | 2 | 1 | no | — |
| 1069 | C2×C4 | — | 2 | 2 | no | — |
| 1070 | C2×C4 | — | 4 | 1 | no | — |
| 1071 | C2×C4 | — | 4 | 4 | no | — |
| 1072 | C2×C4 | — | 4 | 2 | no | — |
| 1073 | C2×C4 | — | 4 | 2 | no | — |
| 1074 | C2×C4 | — | 4 | 1 | no | — |
| 1075 | C2×C4 | — | 4 | 1 | no | — |
| 1076 | C2×C4 | — | 4 | 2 | no | — |
| 1077 | C2×C4 | — | 4 | 2 | no | — |
| 1078 | C2×C4 | — | 4 | 2 | no | — |
| 1079 | C2×C4 | — | 8 | 1 | no | — |
| 1080 | C2×C4 | — | 8 | 4 | no | — |
| 1081 | C2×C4 | — | 8 | 4 | no | — |
| 1082 | C2×C4 | — | 8 | 4 | no | — |
| 1083 | C2×C4 | — | 8 | 2 | no | — |
| 1084 | C2×C4 | — | 8 | 2 | no | — |
| 1085 | C2×C4 | — | 8 | 2 | no | — |
| 1086 | C2×C4 | — | 8 | 2 | no | — |
| 1087 | C2×C4 | — | 8 | 2 | no | — |
| 1088 | C2×C4 | — | 16 | 4 | no | — |
| 1089 | C2×C4 | — | 16 | 4 | no | — |
| 1090 | C2×C4 | — | 16 | 4 | no | — |
| 1091 | C2×C4 | — | 16 | 4 | no | — |
| 1092 | C2×C4 | D4×D8 | 1 | 1 | yes | characteristic |
| 1093 | C2×C4 | D4×D8 | 1 | 1 | yes | characteristic |
| 1094 | C2×C4 | D4×D8 | 1 | 1 | yes | characteristic |
| 1095 | C2×C4 | C22×D16 | 1 | 2 | yes | — |
| 1096 | C2×C4 | #3415 | 1 | 2 | yes | — |
| 1097 | C2×C4 | C2×D42 | 1 | 1 | yes | characteristic |
| 1098 | C2×C4 | C23×D8 | 1 | 1 | yes | characteristic |
| 1099 | C2×C4 | C2×#576 | 1 | 1 | yes | characteristic |
| 1100 | C8 | — | 2 | 1 | no | — |
| 1101 | C8 | — | 2 | 2 | no | — |
| 1102 | C8 | — | 2 | 1 | no | — |
| 1103 | C8 | — | 2 | 1 | no | — |
| 1104 | C8 | — | 4 | 2 | no | — |
| 1105 | C8 | — | 4 | 2 | no | — |
| 1106 | C8 | — | 4 | 1 | no | — |
| 1107 | C8 | — | 4 | 1 | no | — |
| 1108 | C8 | — | 8 | 4 | no | — |
| 1109 | C8 | C22×D16 | 1 | 4 | yes | complemented |
| 1110 | C8 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1111 | C8 | #3585 | 1 | 1 | yes | characteristic |
| 1112 | C22 | — | 2 | 1 | no | — |
| 1113 | C22 | — | 2 | 1 | no | — |
| 1114 | C22 | — | 2 | 2 | no | — |
| 1115 | C22 | — | 2 | 4 | no | — |
| 1116 | C22 | — | 4 | 8 | no | — |
| 1117 | C22 | — | 4 | 2 | no | — |
| 1118 | C22 | — | 4 | 1 | no | — |
| 1119 | C22 | — | 4 | 1 | no | — |
| 1120 | C22 | — | 4 | 2 | no | — |
| 1121 | C22 | — | 4 | 4 | no | — |
| 1122 | C22 | — | 8 | 2 | no | — |
| 1123 | C22 | — | 8 | 2 | no | — |
| 1124 | C22 | — | 8 | 2 | no | — |
| 1125 | C22 | — | 8 | 2 | no | — |
| 1126 | C22 | — | 8 | 2 | no | — |
| 1127 | C22 | — | 16 | 8 | no | — |
| 1128 | C22 | — | 16 | 2 | no | — |
| 1129 | C22 | — | 16 | 4 | no | — |
| 1130 | C22 | — | 16 | 4 | no | — |
| 1131 | C22 | — | 16 | 2 | no | — |
| 1132 | C22 | — | 16 | 4 | no | — |
| 1133 | C22 | — | 16 | 2 | no | — |
| 1134 | C22 | — | 32 | 8 | no | — |
| 1135 | C22 | — | 32 | 8 | no | — |
| 1136 | C22 | — | 32 | 16 | no | — |
| 1137 | C22 | — | 32 | 16 | no | — |
| 1138 | C22 | D4×D16 | 1 | 2 | yes | — |
| 1139 | C22 | C2×D4×D8 | 1 | 1 | yes | characteristic |
| 1140 | C4 | — | 2 | 2 | no | — |
| 1141 | C4 | — | 2 | 1 | no | — |
| 1142 | C4 | — | 2 | 1 | no | — |
| 1143 | C4 | — | 2 | 1 | no | — |
| 1144 | C4 | — | 4 | 2 | no | — |
| 1145 | C4 | — | 4 | 1 | no | — |
| 1146 | C4 | — | 4 | 1 | no | — |
| 1147 | C4 | — | 8 | 2 | no | — |
| 1148 | C4 | — | 8 | 2 | no | — |
| 1149 | C4 | — | 16 | 2 | no | — |
| 1150 | C4 | D4×D16 | 1 | 2 | yes | — |
| 1151 | C4 | D4×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1152 | C4 | #61106 | 1 | 1 | yes | characteristic |
| 1153 | C4 | C23×D16 | 1 | 1 | yes | characteristic |
| 1154 | C4 | C2×#3415 | 1 | 1 | yes | characteristic |
| 1155 | C2 | — | 2 | 2 | no | — |
| 1156 | C2 | — | 4 | 4 | no | — |
| 1157 | C2 | — | 4 | 2 | no | — |
| 1158 | C2 | — | 8 | 4 | no | — |
| 1159 | C2 | — | 16 | 2 | no | — |
| 1160 | C2 | — | 32 | 2 | no | — |
| 1161 | C2 | — | 32 | 4 | no | — |
| 1162 | C2 | D8×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1163 | C2 | C2×D4×D16 | 1 | 1 | yes | characteristic |
| 1164 | C2 | #7623662 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C2×D4×D8 |
| commutator, Frattini, cosocle | C4×C8 | C25 |
| LCS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C2×C42 ◁ C8×AGL(1,ℤ/8) ◁ G | |
| LECS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #41×D16 | C2 | semidirect |
| 2. C2×D4×D16 | C2 | semidirect |
| 3. D8×AGL(1,ℤ/8) | C2 | semidirect |
| 4. SD16×D16 | C2 | semidirect |
| 5. D8×D16 | C2 | semidirect |
| 6. #492296 | C2 | semidirect |
| 7. #492224 | C2 | semidirect |
| 8. #491776 | C2 | semidirect |
| 9. #491712 | C2 | semidirect |
| 10. #491556 | C2 | semidirect |
| 11. #491155 | C2 | semidirect |
| 12. #491085 | C2 | semidirect |
| 13. #490777 | C2 | semidirect |
| 14. #489931 | C2 | semidirect |
| 15. #489691 | C2 | semidirect |
| 16. M16×D16 | C2 | semidirect |
| 17. C16×AGL(1,ℤ/8) | C2 | semidirect |
| 19. D8×#41 | C22 | semidirect |
| 21. C2×D4×D8 | C22 | semidirect |
| 22. #33958 | C22 | semidirect |
| 23. Q8×D16 | C22 | semidirect |
| 24. #33925 | C22 | semidirect |
| 26. #33901 | C22 | semidirect |
| 28. #33861 | C22 | semidirect |
| 34. D4×D16 | C22 | semidirect |
| 35. D4×D16 | C22 | semidirect |
| 36. D4×D16 | C22 | semidirect |
| 37. #33771 | C22 | semidirect |
| 39. #33733 | C22 | semidirect |
| 40. C2×#2246 | C22 | semidirect |
| 42. #33660 | C22 | semidirect |
| 44. C2×#2206 | C22 | semidirect |
| 46. C16×#41 | C22 | semidirect |
| 49. C2×D4×C16 | C22 | semidirect |
| 50. D8×SD16 | C22 | semidirect |
| 51. D82 | C22 | semidirect |
| 52. #19885 | C22 | semidirect |
| 53. #19883 | C22 | semidirect |
| 56. #19629 | C22 | semidirect |
| 57. #19267 | C22 | semidirect |
| 58. #19255 | C22 | semidirect |
| 62. M16×D8 | C22 | semidirect |
| 64. #12525 | C22 | semidirect |
| 65. #12515 | C22 | semidirect |
| 66. #12503 | C22 | semidirect |
| 67. #12491 | C22 | semidirect |
| 68. #12483 | C22 | semidirect |
| 69. #12467 | C22 | semidirect |
| 70. #12451 | C22 | semidirect |
| 71. #12439 | C22 | semidirect |
| 72. #12439 | C22 | semidirect |
| 73. #12430 | C22 | semidirect |
| 74. #12430 | C22 | semidirect |
| 75. #12430 | C22 | semidirect |
| 76. #12424 | C22 | semidirect |
| 77. #12416 | C22 | semidirect |
| 78. #12368 | C22 | semidirect |
| 79. #12368 | C22 | semidirect |
| 80. #12352 | C22 | semidirect |
| 81. #12340 | C22 | semidirect |
| 82. #12328 | C22 | semidirect |
| 83. #12316 | C22 | semidirect |
| 84. #12316 | C22 | semidirect |
| 85. #12316 | C22 | semidirect |
| 86. #12081 | C22 | semidirect |
| 87. #12069 | C22 | semidirect |
| 88. #12062 | C22 | semidirect |
| 89. SD16⋊C16 | C22 | semidirect |
| 90. C16×SD16 | C22 | semidirect |
| 91. C8×D16 | C22 | semidirect |
| 92. C16×D8 | C22 | semidirect |
| 93. #12022 | C22 | semidirect |
| 94. #12015 | C22 | semidirect |
| 95. #11981 | C22 | semidirect |
| 96. #11961 | C22 | semidirect |
| 97. #11657 | C22 | semidirect |
| 98. #11629 | C22 | semidirect |
| 99. #11621 | C22 | semidirect |
| 100. C16×M16 | C22 | semidirect |
| 115. #3391 | C23 | semidirect |
| 116. Q8×D8 | C23 | semidirect |
| 119. #3334 | C23 | semidirect |
| 131. D4×D8 | C23 | semidirect |
| 158. #2252 | C23 | semidirect |
| 164. #2246 | C23 | semidirect |
| 165. #2246 | C23 | semidirect |
| 167. #2240 | C23 | semidirect |
| 168. #2240 | C23 | semidirect |
| 174. #2224 | C23 | semidirect |
| 175. #2224 | C23 | semidirect |
| 191. #2206 | C23 | semidirect |
| 192. #2206 | C23 | semidirect |
| 201. Q8×C16 | C23 | semidirect |
| 202. Q8×C16 | C23 | semidirect |
| 222. D4×C16 | C23 | semidirect |
| 223. D4×C16 | C23 | semidirect |
| 237. #1712 | C23 | semidirect |
| 238. #1706 | C23 | semidirect |
| 244. #1668 | C23 | semidirect |
| 248. #1667 | C23 | semidirect |
| 258. #1589 | C23 | semidirect |
| 264. C8×D8 | C23 | semidirect |
| 273. #1371 | C23 | semidirect |
| 274. #1371 | C23 | semidirect |
| 275. #1370 | C23 | semidirect |
| 276. #1367 | C23 | semidirect |
| 277. #1364 | C23 | semidirect |
| 278. #1361 | C23 | semidirect |
| 279. #1361 | C23 | semidirect |
| 280. #1361 | C23 | semidirect |
| 281. Q8⋊C16 | C23 | semidirect |
| 282. #1331 | C23 | semidirect |
| 283. #1331 | C23 | semidirect |
| 286. D4⋊C16 | C23 | semidirect |
| 287. #1312 | C23 | semidirect |
| 288. C8×C16 | C23 | semidirect |
| 584. AGL(1,ℤ/8) | D16 | direct (N × H) |
| 726. D16 | AGL(1,ℤ/8) | direct (N × H) |
| 817. #41 | C2×D16 | semidirect |
| 873. C2×D4 | C2×D16 | semidirect |
| 903. SD16 | C2×D16 | semidirect |
| 925. D8 | C2×D16 | semidirect |
| 926. D8 | C2×AGL(1,ℤ/8) | semidirect |
| 930. M16 | C2×D16 | semidirect |
| 997. C16 | C2×AGL(1,ℤ/8) | semidirect |
| 1028. Q8 | C22×D16 | semidirect |
| 1062. D4 | C22×D16 | semidirect |
| 1109. C8 | C22×D16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×D16 | 2 |
| C2×D4×D16 | 2 |
| D8×AGL(1,ℤ/8) | 2 |
| SD16×D16 | 2 |
| D8×D16 | 2 |
| #492296 | 2 |
| #492224 | 2 |
| #491776 | 2 |
| #491712 | 2 |
| #491556 | 2 |
| #491155 | 2 |
| #491085 | 2 |
| #490777 | 2 |
| #489931 | 2 |
| #489691 | 2 |
| M16×D16 | 2 |
| C16×AGL(1,ℤ/8) | 2 |