Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
2187 conjugacy classes of subgroups.
The subgroup lattice has 901 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72226867 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72226866 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72226864 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72225557 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72225401 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72225353 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72225341 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72225311 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C2×#492532 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #72216288 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72216270 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#33858 | — | 2 | 1 | no | — |
| 13 | C2×#33858 | C22 | 1 | 2 | yes | — |
| 14 | #512751 | C22 | 1 | 2 | yes | complemented |
| 15 | #512702 | — | 2 | 2 | no | — |
| 16 | #497894 | — | 2 | 1 | no | — |
| 17 | #497857 | C22 | 1 | 2 | yes | complemented |
| 18 | #492532 | — | 2 | 2 | no | — |
| 19 | #492532 | — | 2 | 2 | no | — |
| 20 | #492532 | C4 | 1 | 4 | yes | complemented |
| 21 | #492532 | C4 | 1 | 4 | yes | complemented |
| 22 | C2×#12515 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#12436 | — | 2 | 1 | no | — |
| 24 | C2×#12436 | C22 | 1 | 2 | yes | — |
| 25 | C2×#12310 | — | 2 | 2 | no | — |
| 26 | C2×#12046 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#12046 | C22 | 1 | 1 | yes | characteristic |
| 28 | #152994 | C22 | 1 | 2 | yes | complemented |
| 29 | #152899 | C22 | 1 | 2 | yes | complemented |
| 30 | #152899 | C22 | 1 | 2 | yes | complemented |
| 31 | #152638 | — | 2 | 2 | no | — |
| 32 | #152516 | — | 2 | 2 | no | — |
| 33 | #152283 | C22 | 1 | 2 | yes | — |
| 34 | #152176 | — | 2 | 2 | no | — |
| 35 | #151968 | C22 | 1 | 1 | yes | characteristic |
| 36 | #151073 | — | 2 | 2 | no | — |
| 37 | #151072 | — | 2 | 2 | no | — |
| 38 | C2×#7459 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×#7448 | C22 | 1 | 2 | yes | complemented |
| 40 | #150069 | C22 | 1 | 1 | yes | characteristic |
| 41 | #150051 | C22 | 1 | 2 | yes | complemented |
| 42 | C8×M64 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #140438 | — | 2 | 1 | no | — |
| 44 | #136326 | — | 2 | 2 | no | — |
| 45 | #135781 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #134971 | C22 | 1 | 2 | yes | complemented |
| 47 | #129142 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #94365 | C22 | 1 | 2 | yes | complemented |
| 49 | #94054 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #94029 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×#3415 | — | 2 | 2 | no | — |
| 52 | C2×#3415 | — | 4 | 1 | no | — |
| 53 | C2×#3292 | — | 2 | 2 | no | — |
| 54 | #33974 | — | 2 | 2 | no | — |
| 55 | #33858 | — | 2 | 4 | no | — |
| 56 | #33858 | — | 2 | 4 | no | — |
| 57 | #33858 | — | 2 | 4 | no | — |
| 58 | #33858 | — | 2 | 4 | no | — |
| 59 | #33858 | — | 4 | 2 | no | — |
| 60 | #33858 | — | 4 | 2 | no | — |
| 61 | #33858 | — | 4 | 2 | no | — |
| 62 | #33858 | C2×C4 | 1 | 8 | yes | — |
| 63 | C2×#2246 | — | 2 | 1 | no | — |
| 64 | C2×#2246 | C23 | 1 | 2 | yes | — |
| 65 | C2×#2221 | — | 2 | 2 | no | — |
| 66 | C2×#2221 | — | 4 | 1 | no | — |
| 67 | C2×#2213 | — | 2 | 2 | no | — |
| 68 | C2×#2213 | — | 2 | 2 | no | — |
| 69 | C2×#2192 | — | 4 | 2 | no | — |
| 70 | C2×#2192 | — | 4 | 2 | no | — |
| 71 | #33465 | — | 4 | 1 | no | — |
| 72 | C2×#2178 | D4 | 1 | 1 | yes | characteristic |
| 73 | C2×#2178 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×#2170 | — | 2 | 1 | no | — |
| 75 | C2×#2170 | C23 | 1 | 2 | yes | — |
| 76 | #33414 | — | 2 | 2 | no | — |
| 77 | #22694 | — | 2 | 2 | no | — |
| 78 | C2×#1712 | — | 2 | 1 | no | — |
| 79 | #13648 | — | 4 | 2 | no | — |
| 80 | #13647 | — | 2 | 4 | no | — |
| 81 | C2×#1422 | C23 | 1 | 2 | yes | — |
| 82 | #13625 | — | 2 | 2 | no | — |
| 83 | #13625 | — | 4 | 4 | no | — |
| 84 | #13625 | D4 | 1 | 1 | yes | characteristic |
| 85 | C2×#1419 | — | 2 | 2 | no | — |
| 86 | C2×#1419 | — | 2 | 2 | no | — |
| 87 | C2×#1419 | — | 2 | 2 | no | — |
| 88 | C2×#1419 | — | 4 | 2 | no | — |
| 89 | C2×#1419 | — | 4 | 4 | no | — |
| 90 | #13622 | D4 | 1 | 1 | yes | characteristic |
| 91 | #13617 | — | 2 | 2 | no | — |
| 92 | #13558 | — | 2 | 2 | no | — |
| 93 | C4×M64 | C23 | 1 | 1 | yes | characteristic |
| 94 | C4×M64 | C23 | 1 | 1 | yes | characteristic |
| 95 | #13182 | — | 2 | 2 | no | — |
| 96 | #13173 | — | 4 | 1 | no | — |
| 97 | #12947 | — | 4 | 2 | no | — |
| 98 | #12927 | — | 4 | 2 | no | — |
| 99 | #12909 | — | 2 | 1 | no | — |
| 100 | #12909 | C23 | 1 | 2 | yes | — |
| 101 | #12841 | — | 2 | 2 | no | — |
| 102 | #12822 | — | 2 | 2 | no | — |
| 103 | #12670 | C23 | 1 | 1 | yes | characteristic |
| 104 | #12664 | — | 2 | 1 | no | — |
| 105 | #12515 | — | 2 | 1 | no | — |
| 106 | #12515 | — | 2 | 1 | no | — |
| 107 | #12515 | C2×C4 | 1 | 2 | yes | — |
| 108 | #12515 | C2×C4 | 1 | 2 | yes | — |
| 109 | #12436 | — | 2 | 4 | no | — |
| 110 | #12436 | — | 2 | 4 | no | — |
| 111 | #12436 | — | 2 | 4 | no | — |
| 112 | #12436 | C2×C4 | 1 | 8 | yes | — |
| 113 | #12310 | — | 2 | 8 | no | — |
| 114 | #12310 | — | 2 | 8 | no | — |
| 115 | #12046 | — | 2 | 1 | no | — |
| 116 | #12046 | — | 2 | 1 | no | — |
| 117 | #12046 | C2×C4 | 1 | 2 | yes | — |
| 118 | #12046 | C2×C4 | 1 | 2 | yes | — |
| 119 | #12046 | C2×C4 | 1 | 2 | yes | — |
| 120 | #12046 | C2×C4 | 1 | 2 | yes | — |
| 121 | #12046 | D4 | 1 | 2 | yes | — |
| 122 | #12046 | D4 | 1 | 2 | yes | — |
| 123 | C2×#1373 | D4 | 1 | 1 | yes | characteristic |
| 124 | C2×#1373 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×#1373 | C23 | 1 | 1 | yes | characteristic |
| 126 | C2×#1357 | — | 2 | 2 | no | — |
| 127 | C2×#1335 | — | 2 | 1 | no | — |
| 128 | C2×#1335 | D4 | 1 | 2 | yes | — |
| 129 | C2×C8×C16 | C23 | 1 | 1 | yes | characteristic |
| 130 | #8823 | — | 2 | 1 | no | — |
| 131 | #7480 | D4 | 1 | 1 | yes | characteristic |
| 132 | #7479 | D4 | 1 | 1 | yes | characteristic |
| 133 | #7476 | — | 2 | 2 | no | — |
| 134 | #7459 | — | 2 | 1 | no | — |
| 135 | #7459 | — | 2 | 1 | no | — |
| 136 | #7448 | — | 4 | 2 | no | — |
| 137 | #7388 | — | 2 | 2 | no | — |
| 138 | #7381 | — | 2 | 4 | no | — |
| 139 | #7329 | — | 2 | 1 | no | — |
| 140 | C8×C32 | — | 2 | 1 | no | — |
| 141 | #7270 | — | 2 | 2 | no | — |
| 142 | #7179 | — | 2 | 1 | no | — |
| 143 | C2×#576 | — | 4 | 2 | no | — |
| 144 | C2×#576 | — | 4 | 2 | no | — |
| 145 | #3415 | — | 2 | 8 | no | — |
| 146 | #3415 | — | 4 | 4 | no | — |
| 147 | #3415 | — | 4 | 4 | no | — |
| 148 | #3415 | — | 4 | 4 | no | — |
| 149 | #3415 | — | 4 | 4 | no | — |
| 150 | #3415 | — | 8 | 2 | no | — |
| 151 | #3415 | — | 8 | 2 | no | — |
| 152 | #3415 | — | 8 | 2 | no | — |
| 153 | C2×#509 | — | 4 | 2 | no | — |
| 154 | C2×#509 | — | 4 | 2 | no | — |
| 155 | C2×#509 | — | 8 | 2 | no | — |
| 156 | C2×#509 | — | 8 | 2 | no | — |
| 157 | C2×#508 | — | 4 | 2 | no | — |
| 158 | C2×#508 | — | 8 | 1 | no | — |
| 159 | C2×#508 | D8 | 1 | 1 | yes | characteristic |
| 160 | C2×#508 | C2×D4 | 1 | 1 | yes | characteristic |
| 161 | C22×D16 | — | 2 | 2 | no | — |
| 162 | C22×D16 | — | 2 | 2 | no | — |
| 163 | C22×D16 | — | 4 | 1 | no | — |
| 164 | C22×D16 | — | 4 | 1 | no | — |
| 165 | C22×D16 | — | 4 | 2 | no | — |
| 166 | C22×D16 | — | 8 | 1 | no | — |
| 167 | C2×#504 | — | 2 | 2 | no | — |
| 168 | C2×#504 | — | 4 | 1 | no | — |
| 169 | #3292 | — | 2 | 8 | no | — |
| 170 | #3292 | — | 4 | 4 | no | — |
| 171 | #3292 | — | 4 | 4 | no | — |
| 172 | #3292 | — | 8 | 2 | no | — |
| 173 | C2×#493 | — | 2 | 2 | no | — |
| 174 | C2×#493 | — | 8 | 1 | no | — |
| 175 | C2×#472 | — | 4 | 2 | no | — |
| 176 | C2×#472 | — | 4 | 2 | no | — |
| 177 | C2×#453 | — | 8 | 2 | no | — |
| 178 | #2957 | — | 4 | 2 | no | — |
| 179 | C2×#443 | — | 2 | 1 | no | — |
| 180 | C2×#443 | C2×D4 | 1 | 2 | yes | — |
| 181 | #2916 | — | 4 | 2 | no | — |
| 182 | #2258 | — | 4 | 4 | no | — |
| 183 | #2258 | — | 8 | 2 | no | — |
| 184 | C2×M64 | — | 2 | 1 | no | — |
| 185 | C2×M64 | — | 2 | 2 | no | — |
| 186 | C2×M64 | — | 4 | 4 | no | — |
| 187 | C2×M64 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | C2×M64 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | #2246 | — | 2 | 2 | no | — |
| 190 | #2246 | — | 2 | 2 | no | — |
| 191 | #2246 | — | 2 | 2 | no | — |
| 192 | #2246 | — | 2 | 2 | no | — |
| 193 | #2246 | — | 2 | 2 | no | — |
| 194 | #2246 | — | 4 | 1 | no | — |
| 195 | #2246 | — | 4 | 1 | no | — |
| 196 | #2246 | C22×C4 | 1 | 4 | yes | — |
| 197 | #2221 | — | 2 | 8 | no | — |
| 198 | #2221 | — | 4 | 4 | no | — |
| 199 | #2221 | — | 4 | 4 | no | — |
| 200 | #2221 | — | 4 | 4 | no | — |
| 201 | #2213 | — | 2 | 8 | no | — |
| 202 | #2213 | — | 2 | 8 | no | — |
| 203 | #2213 | — | 4 | 4 | no | — |
| 204 | #2213 | — | 4 | 4 | no | — |
| 205 | #2192 | — | 4 | 8 | no | — |
| 206 | #2192 | — | 4 | 8 | no | — |
| 207 | #2192 | — | 4 | 8 | no | — |
| 208 | #2192 | — | 4 | 8 | no | — |
| 209 | #2179 | — | 8 | 2 | no | — |
| 210 | #2178 | — | 2 | 1 | no | — |
| 211 | #2178 | — | 2 | 1 | no | — |
| 212 | #2178 | — | 8 | 2 | no | — |
| 213 | #2178 | C22⋊C4 | 1 | 2 | yes | — |
| 214 | #2178 | C22⋊C4 | 1 | 2 | yes | — |
| 215 | #2178 | SD16 | 1 | 2 | yes | — |
| 216 | #2178 | SD16 | 1 | 2 | yes | — |
| 217 | #2178 | C22×C4 | 1 | 2 | yes | — |
| 218 | #2178 | #41 | 1 | 2 | yes | — |
| 219 | #2170 | — | 2 | 2 | no | — |
| 220 | #2170 | — | 2 | 2 | no | — |
| 221 | #2170 | — | 2 | 2 | no | — |
| 222 | #2170 | — | 2 | 2 | no | — |
| 223 | #2170 | — | 4 | 1 | no | — |
| 224 | #2170 | — | 4 | 1 | no | — |
| 225 | #2170 | C22×C4 | 1 | 4 | yes | — |
| 226 | #2170 | C2×D4 | 1 | 4 | yes | — |
| 227 | #2161 | — | 4 | 2 | no | — |
| 228 | #2161 | — | 8 | 2 | no | — |
| 229 | C2×#368 | — | 2 | 2 | no | — |
| 230 | C2×#368 | — | 2 | 2 | no | — |
| 231 | C2×#368 | — | 4 | 4 | no | — |
| 232 | C2×#368 | — | 4 | 1 | no | — |
| 233 | C2×#368 | — | 4 | 1 | no | — |
| 234 | C2×#368 | D8 | 1 | 1 | yes | characteristic |
| 235 | C2×#368 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C2×#368 | C2×D4 | 1 | 1 | yes | characteristic |
| 237 | #2158 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C2×#364 | — | 2 | 1 | no | — |
| 239 | C2×#364 | — | 2 | 1 | no | — |
| 240 | C2×#364 | C2×D4 | 1 | 2 | yes | — |
| 241 | C2×#361 | — | 4 | 2 | no | — |
| 242 | C2×#361 | — | 4 | 2 | no | — |
| 243 | #2143 | — | 4 | 2 | no | — |
| 244 | C2×#359 | — | 2 | 1 | no | — |
| 245 | C2×#359 | D8 | 1 | 2 | yes | — |
| 246 | C2×#350 | — | 2 | 2 | no | — |
| 247 | C2×#350 | — | 4 | 1 | no | — |
| 248 | #2108 | — | 4 | 1 | no | — |
| 249 | C2×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C2×C4×C16 | C24 | 1 | 1 | yes | characteristic |
| 251 | #1953 | — | 4 | 2 | no | — |
| 252 | #1861 | — | 8 | 2 | no | — |
| 253 | #1848 | — | 2 | 2 | no | — |
| 254 | #1814 | — | 4 | 2 | no | — |
| 255 | #1772 | — | 2 | 1 | no | — |
| 256 | #1712 | — | 2 | 2 | no | — |
| 257 | #1712 | — | 2 | 2 | no | — |
| 258 | #1712 | — | 8 | 1 | no | — |
| 259 | #1567 | — | 8 | 1 | no | — |
| 260 | C2×C82 | C2×D4 | 1 | 1 | yes | characteristic |
| 261 | #1422 | — | 2 | 2 | no | — |
| 262 | #1422 | — | 2 | 2 | no | — |
| 263 | #1420 | — | 4 | 2 | no | — |
| 264 | #1420 | D8 | 1 | 2 | yes | complemented |
| 265 | #1419 | — | 4 | 2 | no | — |
| 266 | #1419 | — | 4 | 4 | no | — |
| 267 | #1419 | — | 4 | 4 | no | — |
| 268 | #1419 | — | 8 | 2 | no | — |
| 269 | #1419 | — | 8 | 4 | no | — |
| 270 | #1419 | D8 | 1 | 2 | yes | complemented |
| 271 | #1418 | — | 2 | 2 | no | — |
| 272 | #1415 | — | 8 | 2 | no | — |
| 273 | #1401 | — | 4 | 4 | no | — |
| 274 | #1397 | — | 2 | 1 | no | — |
| 275 | #1397 | — | 2 | 1 | no | — |
| 276 | C4×C32 | — | 2 | 1 | no | — |
| 277 | C4×C32 | — | 2 | 1 | no | — |
| 278 | #1389 | — | 4 | 2 | no | — |
| 279 | #1388 | — | 4 | 2 | no | — |
| 280 | #1382 | — | 2 | 1 | no | — |
| 281 | #1379 | — | 4 | 1 | no | — |
| 282 | #1373 | — | 2 | 1 | no | — |
| 283 | #1373 | — | 2 | 1 | no | — |
| 284 | #1373 | — | 2 | 1 | no | — |
| 285 | #1373 | C22⋊C4 | 1 | 2 | yes | — |
| 286 | #1373 | C22⋊C4 | 1 | 2 | yes | — |
| 287 | #1373 | C22×C4 | 1 | 2 | yes | — |
| 288 | #1357 | — | 2 | 8 | no | — |
| 289 | #1335 | — | 2 | 2 | no | — |
| 290 | #1335 | — | 2 | 2 | no | — |
| 291 | #1335 | C22⋊C4 | 1 | 4 | yes | — |
| 292 | #1335 | C22⋊C4 | 1 | 4 | yes | — |
| 293 | C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 294 | C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 295 | C8×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 296 | C8×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 297 | C2×H(5,𝔽2) | — | 8 | 2 | no | — |
| 298 | #576 | — | 4 | 8 | no | — |
| 299 | #576 | — | 4 | 8 | no | — |
| 300 | #576 | — | 8 | 4 | no | — |
| 301 | #576 | — | 8 | 4 | no | — |
| 302 | #576 | — | 8 | 4 | no | — |
| 303 | #576 | — | 8 | 4 | no | — |
| 304 | #576 | — | 16 | 2 | no | — |
| 305 | #576 | — | 16 | 2 | no | — |
| 306 | C2×AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 307 | C2×AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 308 | C2×AGL(1,ℤ/8) | — | 16 | 2 | no | — |
| 309 | C2×AGL(1,ℤ/8) | — | 16 | 2 | no | — |
| 310 | C2×#135 | — | 2 | 1 | no | — |
| 311 | C2×#135 | — | 8 | 2 | no | — |
| 312 | C2×#135 | — | 8 | 2 | no | — |
| 313 | C2×#135 | C2×D8 | 1 | 2 | yes | — |
| 314 | C22×D8 | — | 4 | 2 | no | — |
| 315 | C22×D8 | — | 4 | 2 | no | — |
| 316 | C22×D8 | — | 8 | 2 | no | — |
| 317 | C22×D8 | — | 8 | 2 | no | — |
| 318 | C22×D8 | — | 16 | 2 | no | — |
| 319 | #568 | — | 8 | 2 | no | — |
| 320 | C2×#131 | — | 2 | 2 | no | — |
| 321 | C2×#131 | — | 4 | 1 | no | — |
| 322 | C2×#127 | — | 4 | 2 | no | — |
| 323 | #509 | — | 4 | 8 | no | — |
| 324 | #509 | — | 4 | 8 | no | — |
| 325 | #509 | — | 8 | 8 | no | — |
| 326 | #509 | — | 8 | 8 | no | — |
| 327 | #509 | — | 8 | 4 | no | — |
| 328 | #509 | — | 8 | 4 | no | — |
| 329 | #509 | — | 8 | 8 | no | — |
| 330 | #509 | — | 8 | 8 | no | — |
| 331 | #508 | — | 2 | 1 | no | — |
| 332 | #508 | — | 2 | 1 | no | — |
| 333 | #508 | — | 4 | 8 | no | — |
| 334 | #508 | — | 8 | 4 | no | — |
| 335 | #508 | — | 8 | 4 | no | — |
| 336 | #508 | — | 8 | 4 | no | — |
| 337 | #508 | #102 | 1 | 2 | yes | — |
| 338 | #508 | #102 | 1 | 2 | yes | — |
| 339 | #508 | D16 | 1 | 2 | yes | — |
| 340 | #508 | D16 | 1 | 2 | yes | — |
| 341 | #508 | C4×D4 | 1 | 2 | yes | — |
| 342 | #508 | #135 | 1 | 2 | yes | — |
| 343 | C2×Q32 | SD32 | 1 | 1 | yes | characteristic |
| 344 | C2×Q32 | C2×D8 | 1 | 1 | yes | characteristic |
| 345 | C2×SD32 | — | 2 | 1 | no | — |
| 346 | C2×SD32 | — | 8 | 2 | no | — |
| 347 | C2×SD32 | — | 8 | 2 | no | — |
| 348 | C2×SD32 | SD32 | 1 | 2 | yes | — |
| 349 | C2×D16 | — | 2 | 4 | no | — |
| 350 | C2×D16 | — | 2 | 4 | no | — |
| 351 | C2×D16 | — | 4 | 8 | no | — |
| 352 | C2×D16 | — | 4 | 2 | no | — |
| 353 | C2×D16 | — | 4 | 2 | no | — |
| 354 | C2×D16 | — | 4 | 2 | no | — |
| 355 | C2×D16 | — | 4 | 2 | no | — |
| 356 | C2×D16 | — | 4 | 2 | no | — |
| 357 | C2×D16 | — | 4 | 2 | no | — |
| 358 | C2×D16 | — | 4 | 2 | no | — |
| 359 | C2×D16 | — | 4 | 2 | no | — |
| 360 | C2×D16 | — | 4 | 2 | no | — |
| 361 | C2×D16 | — | 4 | 2 | no | — |
| 362 | C2×D16 | — | 8 | 2 | no | — |
| 363 | C2×D16 | — | 8 | 2 | no | — |
| 364 | C2×D16 | — | 8 | 4 | no | — |
| 365 | C2×D16 | — | 8 | 2 | no | — |
| 366 | C2×D16 | — | 8 | 2 | no | — |
| 367 | C2×D16 | — | 8 | 4 | no | — |
| 368 | C2×D16 | — | 8 | 4 | no | — |
| 369 | C2×D16 | — | 8 | 1 | no | — |
| 370 | C2×D16 | — | 8 | 1 | no | — |
| 371 | C2×D16 | — | 8 | 1 | no | — |
| 372 | C2×D16 | — | 8 | 1 | no | — |
| 373 | C2×D16 | — | 16 | 1 | no | — |
| 374 | C2×D16 | — | 16 | 1 | no | — |
| 375 | C2×D16 | SD32 | 1 | 1 | yes | characteristic |
| 376 | C2×D16 | C2×D8 | 1 | 1 | yes | characteristic |
| 377 | #504 | — | 2 | 4 | no | — |
| 378 | #504 | — | 2 | 4 | no | — |
| 379 | #504 | — | 4 | 2 | no | — |
| 380 | #504 | — | 4 | 2 | no | — |
| 381 | #504 | — | 4 | 2 | no | — |
| 382 | #504 | — | 4 | 2 | no | — |
| 383 | #504 | — | 8 | 1 | no | — |
| 384 | #504 | — | 8 | 1 | no | — |
| 385 | C2×M32 | — | 2 | 2 | no | — |
| 386 | C2×M32 | — | 4 | 2 | no | — |
| 387 | C2×M32 | — | 4 | 1 | no | — |
| 388 | C2×M32 | — | 4 | 1 | no | — |
| 389 | C2×M32 | — | 8 | 1 | no | — |
| 390 | C22×C16 | — | 4 | 2 | no | — |
| 391 | C22×C16 | — | 8 | 1 | no | — |
| 392 | C22×C16 | C2×D8 | 1 | 1 | yes | characteristic |
| 393 | C22×C16 | C2×D8 | 1 | 1 | yes | characteristic |
| 394 | C22×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 395 | C22×C16 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 396 | #493 | — | 2 | 4 | no | — |
| 397 | #493 | — | 4 | 2 | no | — |
| 398 | #493 | — | 4 | 2 | no | — |
| 399 | #493 | — | 4 | 2 | no | — |
| 400 | #493 | — | 8 | 2 | no | — |
| 401 | #493 | — | 8 | 2 | no | — |
| 402 | #493 | — | 16 | 2 | no | — |
| 403 | #472 | — | 4 | 8 | no | — |
| 404 | #472 | — | 4 | 8 | no | — |
| 405 | #472 | — | 8 | 4 | no | — |
| 406 | #472 | — | 8 | 4 | no | — |
| 407 | #453 | — | 8 | 8 | no | — |
| 408 | #453 | — | 8 | 8 | no | — |
| 409 | #444 | — | 16 | 2 | no | — |
| 410 | #443 | — | 2 | 2 | no | — |
| 411 | #443 | — | 2 | 2 | no | — |
| 412 | #443 | — | 2 | 2 | no | — |
| 413 | #443 | — | 2 | 2 | no | — |
| 414 | #443 | — | 4 | 1 | no | — |
| 415 | #443 | — | 4 | 1 | no | — |
| 416 | #443 | — | 8 | 4 | no | — |
| 417 | #443 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 418 | #443 | C2×SD16 | 1 | 4 | yes | — |
| 419 | #430 | — | 8 | 2 | no | — |
| 420 | #430 | — | 16 | 2 | no | — |
| 421 | C2×#108 | — | 2 | 1 | no | — |
| 422 | C2×#108 | — | 2 | 1 | no | — |
| 423 | C2×#108 | — | 4 | 2 | no | — |
| 424 | C2×#108 | — | 4 | 2 | no | — |
| 425 | C2×#108 | — | 8 | 4 | no | — |
| 426 | C2×#108 | C2×D8 | 1 | 2 | yes | — |
| 427 | #427 | — | 2 | 1 | no | — |
| 428 | #423 | — | 4 | 2 | no | — |
| 429 | #421 | — | 8 | 2 | no | — |
| 430 | C2×#104 | — | 2 | 2 | no | — |
| 431 | C2×#104 | — | 4 | 1 | no | — |
| 432 | C2×#100 | — | 8 | 2 | no | — |
| 433 | #405 | — | 4 | 1 | no | — |
| 434 | C2×C4×C8 | — | 2 | 1 | no | — |
| 435 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 436 | M64 | — | 2 | 1 | no | — |
| 437 | M64 | — | 2 | 2 | no | — |
| 438 | M64 | — | 2 | 1 | no | — |
| 439 | M64 | — | 2 | 1 | no | — |
| 440 | M64 | — | 4 | 1 | no | — |
| 441 | M64 | — | 4 | 2 | no | — |
| 442 | M64 | — | 4 | 2 | no | — |
| 443 | M64 | — | 8 | 4 | no | — |
| 444 | M64 | C2×D8 | 1 | 2 | yes | — |
| 445 | C2×C32 | — | 2 | 1 | no | — |
| 446 | C2×C32 | — | 2 | 1 | no | — |
| 447 | C2×C32 | — | 4 | 1 | no | — |
| 448 | C2×C32 | — | 4 | 2 | no | — |
| 449 | C2×C32 | — | 8 | 4 | no | — |
| 450 | #368 | — | 2 | 1 | no | — |
| 451 | #368 | — | 2 | 1 | no | — |
| 452 | #368 | — | 4 | 2 | no | — |
| 453 | #368 | — | 4 | 2 | no | — |
| 454 | #368 | — | 8 | 4 | no | — |
| 455 | #368 | — | 8 | 1 | no | — |
| 456 | #368 | — | 8 | 1 | no | — |
| 457 | #368 | — | 8 | 2 | no | — |
| 458 | #368 | — | 16 | 1 | no | — |
| 459 | #368 | #102 | 1 | 2 | yes | — |
| 460 | #368 | #102 | 1 | 2 | yes | — |
| 461 | #368 | C4×D4 | 1 | 2 | yes | — |
| 462 | #368 | C2×D8 | 1 | 2 | yes | — |
| 463 | #367 | — | 2 | 1 | no | — |
| 464 | #366 | — | 2 | 1 | no | — |
| 465 | #364 | — | 2 | 2 | no | — |
| 466 | #364 | — | 2 | 2 | no | — |
| 467 | #364 | — | 4 | 1 | no | — |
| 468 | #364 | — | 4 | 1 | no | — |
| 469 | #364 | — | 4 | 1 | no | — |
| 470 | #364 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 471 | #361 | — | 4 | 8 | no | — |
| 472 | #361 | — | 4 | 8 | no | — |
| 473 | #359 | — | 2 | 2 | no | — |
| 474 | #359 | — | 2 | 2 | no | — |
| 475 | #359 | — | 8 | 4 | no | — |
| 476 | #359 | #102 | 1 | 4 | yes | — |
| 477 | #359 | #102 | 1 | 4 | yes | — |
| 478 | #350 | — | 2 | 4 | no | — |
| 479 | #350 | — | 2 | 4 | no | — |
| 480 | #350 | — | 4 | 2 | no | — |
| 481 | #350 | — | 4 | 2 | no | — |
| 482 | #346 | — | 8 | 1 | no | — |
| 483 | C4×C16 | — | 8 | 1 | no | — |
| 484 | C4×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 485 | C4×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 486 | C4×C16 | C2×SD16 | 1 | 1 | yes | characteristic |
| 487 | C4×C16 | C2×SD16 | 1 | 1 | yes | characteristic |
| 488 | C4×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 489 | C4×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 490 | C4×C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 491 | C4×C16 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 492 | #344 | — | 8 | 2 | no | — |
| 493 | #339 | — | 4 | 1 | no | — |
| 494 | #335 | — | 16 | 2 | no | — |
| 495 | C82 | — | 2 | 1 | no | — |
| 496 | C82 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 497 | C82 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 498 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 499 | H(5,𝔽2) | — | 16 | 4 | no | — |
| 500 | H(5,𝔽2) | — | 16 | 4 | no | — |
| 501 | H(5,𝔽2) | — | 32 | 2 | no | — |
| 502 | C2×#41 | — | 2 | 2 | no | — |
| 503 | C2×#41 | — | 4 | 1 | no | — |
| 504 | C2×#41 | — | 16 | 2 | no | — |
| 505 | C2×#41 | — | 16 | 2 | no | — |
| 506 | C22×D4 | — | 8 | 2 | no | — |
| 507 | C22×D4 | — | 16 | 2 | no | — |
| 508 | C22×D4 | — | 16 | 2 | no | — |
| 509 | C22×D4 | — | 16 | 2 | no | — |
| 510 | C22×D4 | — | 32 | 2 | no | — |
| 511 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 512 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 513 | AGL(1,ℤ/8) | — | 16 | 8 | no | — |
| 514 | AGL(1,ℤ/8) | — | 16 | 8 | no | — |
| 515 | AGL(1,ℤ/8) | — | 16 | 4 | no | — |
| 516 | AGL(1,ℤ/8) | — | 16 | 8 | no | — |
| 517 | AGL(1,ℤ/8) | — | 16 | 8 | no | — |
| 518 | AGL(1,ℤ/8) | — | 16 | 4 | no | — |
| 519 | #135 | — | 2 | 2 | no | — |
| 520 | #135 | — | 2 | 2 | no | — |
| 521 | #135 | — | 2 | 2 | no | — |
| 522 | #135 | — | 2 | 2 | no | — |
| 523 | #135 | — | 4 | 1 | no | — |
| 524 | #135 | — | 4 | 1 | no | — |
| 525 | #135 | — | 8 | 8 | no | — |
| 526 | #135 | — | 8 | 8 | no | — |
| 527 | #135 | — | 16 | 4 | no | — |
| 528 | #135 | — | 16 | 4 | no | — |
| 529 | #135 | C2×#102 | 1 | 4 | yes | — |
| 530 | #135 | C2×D16 | 1 | 4 | yes | — |
| 531 | C2×Q16 | — | 2 | 1 | no | — |
| 532 | C2×Q16 | C2×SD32 | 1 | 2 | yes | — |
| 533 | C2×SD16 | — | 2 | 2 | no | — |
| 534 | C2×SD16 | — | 4 | 1 | no | — |
| 535 | C2×SD16 | — | 16 | 2 | no | — |
| 536 | C2×SD16 | — | 16 | 2 | no | — |
| 537 | C2×D8 | — | 2 | 1 | no | — |
| 538 | C2×D8 | — | 4 | 4 | no | — |
| 539 | C2×D8 | — | 4 | 4 | no | — |
| 540 | C2×D8 | — | 8 | 8 | no | — |
| 541 | C2×D8 | — | 8 | 8 | no | — |
| 542 | C2×D8 | — | 8 | 2 | no | — |
| 543 | C2×D8 | — | 8 | 2 | no | — |
| 544 | C2×D8 | — | 8 | 2 | no | — |
| 545 | C2×D8 | — | 8 | 2 | no | — |
| 546 | C2×D8 | — | 8 | 2 | no | — |
| 547 | C2×D8 | — | 8 | 2 | no | — |
| 548 | C2×D8 | — | 8 | 2 | no | — |
| 549 | C2×D8 | — | 8 | 2 | no | — |
| 550 | C2×D8 | — | 8 | 2 | no | — |
| 551 | C2×D8 | — | 8 | 2 | no | — |
| 552 | C2×D8 | — | 16 | 4 | no | — |
| 553 | C2×D8 | — | 16 | 4 | no | — |
| 554 | C2×D8 | — | 16 | 4 | no | — |
| 555 | C2×D8 | — | 16 | 2 | no | — |
| 556 | C2×D8 | — | 16 | 4 | no | — |
| 557 | C2×D8 | — | 16 | 2 | no | — |
| 558 | C2×D8 | — | 32 | 8 | no | — |
| 559 | C2×D8 | C2×SD32 | 1 | 2 | yes | — |
| 560 | #131 | — | 2 | 4 | no | — |
| 561 | #131 | — | 2 | 4 | no | — |
| 562 | #131 | — | 4 | 2 | no | — |
| 563 | #131 | — | 4 | 2 | no | — |
| 564 | #131 | — | 4 | 2 | no | — |
| 565 | #131 | — | 4 | 2 | no | — |
| 566 | #131 | — | 8 | 1 | no | — |
| 567 | #131 | — | 8 | 1 | no | — |
| 568 | #131 | — | 16 | 4 | no | — |
| 569 | #131 | — | 32 | 2 | no | — |
| 570 | C2×M16 | — | 2 | 2 | no | — |
| 571 | C2×M16 | — | 4 | 2 | no | — |
| 572 | C2×M16 | — | 4 | 1 | no | — |
| 573 | C2×M16 | — | 4 | 1 | no | — |
| 574 | C2×M16 | — | 8 | 1 | no | — |
| 575 | C2×M16 | — | 8 | 2 | no | — |
| 576 | C2×M16 | — | 16 | 4 | no | — |
| 577 | C22×C8 | — | 2 | 2 | no | — |
| 578 | C22×C8 | — | 4 | 2 | no | — |
| 579 | C22×C8 | — | 8 | 1 | no | — |
| 580 | C22×C8 | D42 | 1 | 1 | yes | characteristic |
| 581 | C22×C8 | C22×D8 | 1 | 1 | yes | characteristic |
| 582 | #127 | — | 4 | 4 | no | — |
| 583 | #127 | — | 8 | 2 | no | — |
| 584 | #127 | — | 16 | 2 | no | — |
| 585 | #117 | — | 4 | 1 | no | — |
| 586 | C2×C42 | #576 | 1 | 1 | yes | characteristic |
| 587 | Q32 | — | 2 | 1 | no | — |
| 588 | Q32 | #357 | 1 | 2 | yes | — |
| 589 | Q32 | #357 | 1 | 2 | yes | — |
| 590 | Q32 | C4×D8 | 1 | 2 | yes | — |
| 591 | SD32 | — | 2 | 2 | no | — |
| 592 | SD32 | — | 2 | 2 | no | — |
| 593 | SD32 | — | 8 | 8 | no | — |
| 594 | SD32 | — | 8 | 8 | no | — |
| 595 | SD32 | #357 | 1 | 4 | yes | — |
| 596 | SD32 | #357 | 1 | 4 | yes | — |
| 597 | D16 | — | 2 | 1 | no | — |
| 598 | D16 | — | 4 | 4 | no | — |
| 599 | D16 | — | 4 | 4 | no | — |
| 600 | D16 | — | 8 | 4 | no | — |
| 601 | D16 | — | 8 | 8 | no | — |
| 602 | D16 | — | 8 | 8 | no | — |
| 603 | D16 | — | 8 | 2 | no | — |
| 604 | D16 | — | 8 | 2 | no | — |
| 605 | D16 | — | 8 | 2 | no | — |
| 606 | D16 | — | 8 | 2 | no | — |
| 607 | D16 | — | 8 | 2 | no | — |
| 608 | D16 | — | 8 | 2 | no | — |
| 609 | D16 | — | 16 | 2 | no | — |
| 610 | D16 | — | 16 | 2 | no | — |
| 611 | D16 | — | 16 | 2 | no | — |
| 612 | D16 | #357 | 1 | 2 | yes | — |
| 613 | D16 | #357 | 1 | 2 | yes | — |
| 614 | D16 | C4×D8 | 1 | 2 | yes | — |
| 615 | M32 | — | 2 | 4 | no | — |
| 616 | M32 | — | 4 | 2 | no | — |
| 617 | M32 | — | 4 | 4 | no | — |
| 618 | M32 | — | 4 | 4 | no | — |
| 619 | M32 | — | 4 | 2 | no | — |
| 620 | M32 | — | 8 | 1 | no | — |
| 621 | M32 | — | 8 | 2 | no | — |
| 622 | M32 | — | 8 | 2 | no | — |
| 623 | M32 | — | 8 | 1 | no | — |
| 624 | M32 | — | 8 | 1 | no | — |
| 625 | C2×C16 | — | 2 | 1 | no | — |
| 626 | C2×C16 | — | 2 | 1 | no | — |
| 627 | C2×C16 | — | 2 | 1 | no | — |
| 628 | C2×C16 | — | 2 | 1 | no | — |
| 629 | C2×C16 | — | 4 | 2 | no | — |
| 630 | C2×C16 | — | 4 | 4 | no | — |
| 631 | C2×C16 | — | 4 | 4 | no | — |
| 632 | C2×C16 | — | 8 | 1 | no | — |
| 633 | C2×C16 | — | 8 | 2 | no | — |
| 634 | C2×C16 | — | 8 | 2 | no | — |
| 635 | C2×C16 | — | 8 | 1 | no | — |
| 636 | C2×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 637 | C2×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 638 | C2×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 639 | C2×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 640 | C2×C16 | C2×D16 | 1 | 1 | yes | characteristic |
| 641 | C2×C16 | C2×D16 | 1 | 1 | yes | characteristic |
| 642 | C2×C16 | C2×SD32 | 1 | 1 | yes | characteristic |
| 643 | C2×C16 | C2×SD32 | 1 | 1 | yes | characteristic |
| 644 | C2×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 645 | C2×C16 | #518 | 1 | 1 | yes | characteristic |
| 646 | C2×C16 | D42 | 1 | 1 | yes | characteristic |
| 647 | C2×C16 | #546 | 1 | 1 | yes | characteristic |
| 648 | C2×C16 | C22×D8 | 1 | 1 | yes | characteristic |
| 649 | C2×C16 | C2×#135 | 1 | 1 | yes | characteristic |
| 650 | C2×C16 | #576 | 1 | 1 | yes | characteristic |
| 651 | C2×C16 | #576 | 1 | 1 | yes | characteristic |
| 652 | #108 | — | 2 | 2 | no | — |
| 653 | #108 | — | 2 | 2 | no | — |
| 654 | #108 | — | 2 | 2 | no | — |
| 655 | #108 | — | 4 | 1 | no | — |
| 656 | #108 | — | 4 | 1 | no | — |
| 657 | #108 | — | 8 | 2 | no | — |
| 658 | #108 | — | 8 | 2 | no | — |
| 659 | #108 | — | 8 | 2 | no | — |
| 660 | #108 | — | 8 | 2 | no | — |
| 661 | #108 | — | 16 | 4 | no | — |
| 662 | #108 | C2×#102 | 1 | 4 | yes | — |
| 663 | #107 | — | 4 | 1 | no | — |
| 664 | #106 | — | 4 | 1 | no | — |
| 665 | C4⋊C8 | — | 16 | 2 | no | — |
| 666 | #104 | — | 2 | 4 | no | — |
| 667 | #104 | — | 2 | 4 | no | — |
| 668 | #104 | — | 4 | 2 | no | — |
| 669 | #104 | — | 4 | 2 | no | — |
| 670 | #104 | — | 16 | 4 | no | — |
| 671 | #100 | — | 8 | 8 | no | — |
| 672 | #97 | — | 8 | 1 | no | — |
| 673 | C4×C8 | — | 2 | 2 | no | — |
| 674 | C4×C8 | — | 2 | 1 | no | — |
| 675 | C4×C8 | — | 2 | 1 | no | — |
| 676 | C4×C8 | — | 8 | 1 | no | — |
| 677 | C4×C8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 678 | C4×C8 | #546 | 1 | 1 | yes | characteristic |
| 679 | C4×C8 | C22×SD16 | 1 | 1 | yes | characteristic |
| 680 | C4×C8 | #577 | 1 | 1 | yes | characteristic |
| 681 | C32 | — | 2 | 2 | no | — |
| 682 | C32 | — | 4 | 2 | no | — |
| 683 | C32 | — | 4 | 1 | no | — |
| 684 | C32 | — | 8 | 2 | no | — |
| 685 | C24 | — | 16 | 2 | no | — |
| 686 | C24 | — | 32 | 2 | no | — |
| 687 | #41 | — | 2 | 4 | no | — |
| 688 | #41 | — | 2 | 4 | no | — |
| 689 | #41 | — | 4 | 2 | no | — |
| 690 | #41 | — | 4 | 2 | no | — |
| 691 | #41 | — | 4 | 2 | no | — |
| 692 | #41 | — | 4 | 2 | no | — |
| 693 | #41 | — | 8 | 1 | no | — |
| 694 | #41 | — | 8 | 1 | no | — |
| 695 | #41 | — | 16 | 8 | no | — |
| 696 | #41 | — | 16 | 8 | no | — |
| 697 | #41 | — | 32 | 4 | no | — |
| 698 | #41 | — | 32 | 4 | no | — |
| 699 | C2×Q8 | — | 2 | 2 | no | — |
| 700 | C2×Q8 | — | 4 | 1 | no | — |
| 701 | C2×D4 | — | 2 | 2 | no | — |
| 702 | C2×D4 | — | 4 | 2 | no | — |
| 703 | C2×D4 | — | 4 | 1 | no | — |
| 704 | C2×D4 | — | 8 | 1 | no | — |
| 705 | C2×D4 | — | 8 | 4 | no | — |
| 706 | C2×D4 | — | 16 | 4 | no | — |
| 707 | C2×D4 | — | 16 | 8 | no | — |
| 708 | C2×D4 | — | 16 | 8 | no | — |
| 709 | C2×D4 | — | 16 | 2 | no | — |
| 710 | C2×D4 | — | 16 | 2 | no | — |
| 711 | C2×D4 | — | 16 | 2 | no | — |
| 712 | C2×D4 | — | 16 | 2 | no | — |
| 713 | C2×D4 | — | 16 | 2 | no | — |
| 714 | C2×D4 | — | 32 | 2 | no | — |
| 715 | C2×D4 | — | 32 | 4 | no | — |
| 716 | C2×D4 | — | 32 | 2 | no | — |
| 717 | C2×D4 | — | 32 | 8 | no | — |
| 718 | C2×D4 | — | 32 | 4 | no | — |
| 719 | C2×D4 | — | 32 | 2 | no | — |
| 720 | C2×D4 | — | 32 | 8 | no | — |
| 721 | C2×D4 | — | 32 | 8 | no | — |
| 722 | C22×C4 | — | 2 | 1 | no | — |
| 723 | C22×C4 | — | 4 | 2 | no | — |
| 724 | C22×C4 | — | 8 | 1 | no | — |
| 725 | C22×C4 | — | 32 | 2 | no | — |
| 726 | C22×C4 | D4×D8 | 1 | 1 | yes | characteristic |
| 727 | Q16 | — | 2 | 2 | no | — |
| 728 | Q16 | — | 2 | 2 | no | — |
| 729 | Q16 | — | 4 | 1 | no | — |
| 730 | Q16 | C2×#357 | 1 | 4 | yes | — |
| 731 | SD16 | — | 2 | 4 | no | — |
| 732 | SD16 | — | 2 | 4 | no | — |
| 733 | SD16 | — | 4 | 2 | no | — |
| 734 | SD16 | — | 4 | 2 | no | — |
| 735 | SD16 | — | 16 | 8 | no | — |
| 736 | SD16 | — | 16 | 8 | no | — |
| 737 | D8 | — | 2 | 2 | no | — |
| 738 | D8 | — | 2 | 2 | no | — |
| 739 | D8 | — | 4 | 1 | no | — |
| 740 | D8 | — | 8 | 4 | no | — |
| 741 | D8 | — | 8 | 4 | no | — |
| 742 | D8 | — | 8 | 4 | no | — |
| 743 | D8 | — | 8 | 4 | no | — |
| 744 | D8 | — | 16 | 8 | no | — |
| 745 | D8 | — | 16 | 8 | no | — |
| 746 | D8 | — | 16 | 2 | no | — |
| 747 | D8 | — | 16 | 2 | no | — |
| 748 | D8 | — | 16 | 2 | no | — |
| 749 | D8 | — | 16 | 2 | no | — |
| 750 | D8 | — | 32 | 8 | no | — |
| 751 | D8 | — | 32 | 8 | no | — |
| 752 | D8 | C2×#357 | 1 | 4 | yes | — |
| 753 | M16 | — | 2 | 4 | no | — |
| 754 | M16 | — | 4 | 2 | no | — |
| 755 | M16 | — | 4 | 4 | no | — |
| 756 | M16 | — | 4 | 4 | no | — |
| 757 | M16 | — | 4 | 2 | no | — |
| 758 | M16 | — | 4 | 2 | no | — |
| 759 | M16 | — | 8 | 1 | no | — |
| 760 | M16 | — | 8 | 1 | no | — |
| 761 | M16 | — | 8 | 2 | no | — |
| 762 | M16 | — | 8 | 2 | no | — |
| 763 | M16 | — | 16 | 2 | no | — |
| 764 | M16 | — | 16 | 2 | no | — |
| 765 | M16 | — | 32 | 4 | no | — |
| 766 | C2×C8 | — | 2 | 2 | no | — |
| 767 | C2×C8 | — | 2 | 2 | no | — |
| 768 | C2×C8 | — | 4 | 4 | no | — |
| 769 | C2×C8 | — | 4 | 2 | no | — |
| 770 | C2×C8 | — | 4 | 4 | no | — |
| 771 | C2×C8 | — | 4 | 4 | no | — |
| 772 | C2×C8 | — | 8 | 1 | no | — |
| 773 | C2×C8 | — | 8 | 1 | no | — |
| 774 | C2×C8 | — | 8 | 2 | no | — |
| 775 | C2×C8 | — | 8 | 2 | no | — |
| 776 | C2×C8 | — | 16 | 2 | no | — |
| 777 | C2×C8 | — | 32 | 4 | no | — |
| 778 | C2×C8 | D4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 779 | C2×C8 | C22×#102 | 1 | 1 | yes | characteristic |
| 780 | C2×C8 | D4×D8 | 1 | 1 | yes | characteristic |
| 781 | C2×C8 | #3280 | 1 | 1 | yes | characteristic |
| 782 | C2×C8 | D4×SD16 | 1 | 1 | yes | characteristic |
| 783 | C2×C8 | #3290 | 1 | 1 | yes | characteristic |
| 784 | C2×C8 | #3292 | 1 | 1 | yes | characteristic |
| 785 | C2×C8 | #3294 | 1 | 1 | yes | characteristic |
| 786 | C2×C8 | C22×D16 | 1 | 1 | yes | characteristic |
| 787 | C2×C8 | C22×SD32 | 1 | 1 | yes | characteristic |
| 788 | C2×C8 | #3415 | 1 | 1 | yes | characteristic |
| 789 | C2×C8 | #3416 | 1 | 1 | yes | characteristic |
| 790 | C4⋊C4 | — | 8 | 1 | no | — |
| 791 | C22⋊C4 | — | 8 | 1 | no | — |
| 792 | C42 | — | 2 | 1 | no | — |
| 793 | C42 | — | 8 | 1 | no | — |
| 794 | C42 | #2897 | 1 | 1 | yes | characteristic |
| 795 | C42 | #3295 | 1 | 1 | yes | characteristic |
| 796 | C16 | — | 2 | 1 | no | — |
| 797 | C16 | — | 2 | 1 | no | — |
| 798 | C16 | — | 2 | 1 | no | — |
| 799 | C16 | — | 2 | 1 | no | — |
| 800 | C16 | — | 4 | 4 | no | — |
| 801 | C16 | — | 8 | 2 | no | — |
| 802 | C16 | — | 16 | 1 | no | — |
| 803 | C16 | C2×#357 | 1 | 1 | yes | characteristic |
| 804 | C16 | C2×#357 | 1 | 1 | yes | characteristic |
| 805 | C16 | C2×#357 | 1 | 1 | yes | characteristic |
| 806 | C16 | C2×#357 | 1 | 1 | yes | characteristic |
| 807 | C16 | C2×C4×D8 | 1 | 1 | yes | characteristic |
| 808 | C16 | #2948 | 1 | 1 | yes | characteristic |
| 809 | C16 | D4×D8 | 1 | 1 | yes | characteristic |
| 810 | C16 | #3280 | 1 | 1 | yes | characteristic |
| 811 | C23 | — | 4 | 2 | no | — |
| 812 | C23 | — | 8 | 1 | no | — |
| 813 | C23 | — | 16 | 4 | no | — |
| 814 | C23 | — | 32 | 8 | no | — |
| 815 | C23 | — | 32 | 2 | no | — |
| 816 | C23 | — | 32 | 2 | no | — |
| 817 | C23 | — | 64 | 4 | no | — |
| 818 | C23 | — | 128 | 4 | no | — |
| 819 | C23 | #33856 | 1 | 1 | yes | characteristic |
| 820 | Q8 | — | 2 | 4 | no | — |
| 821 | Q8 | — | 4 | 2 | no | — |
| 822 | Q8 | — | 4 | 2 | no | — |
| 823 | Q8 | — | 8 | 1 | no | — |
| 824 | D4 | — | 2 | 4 | no | — |
| 825 | D4 | — | 4 | 4 | no | — |
| 826 | D4 | — | 4 | 4 | no | — |
| 827 | D4 | — | 4 | 2 | no | — |
| 828 | D4 | — | 4 | 2 | no | — |
| 829 | D4 | — | 8 | 2 | no | — |
| 830 | D4 | — | 8 | 2 | no | — |
| 831 | D4 | — | 8 | 1 | no | — |
| 832 | D4 | — | 16 | 4 | no | — |
| 833 | D4 | — | 16 | 4 | no | — |
| 834 | D4 | — | 32 | 8 | no | — |
| 835 | D4 | — | 32 | 8 | no | — |
| 836 | D4 | — | 32 | 8 | no | — |
| 837 | D4 | — | 32 | 2 | no | — |
| 838 | D4 | — | 32 | 2 | no | — |
| 839 | D4 | — | 64 | 4 | no | — |
| 840 | C2×C4 | — | 2 | 1 | no | — |
| 841 | C2×C4 | — | 2 | 1 | no | — |
| 842 | C2×C4 | — | 4 | 2 | no | — |
| 843 | C2×C4 | — | 4 | 2 | no | — |
| 844 | C2×C4 | — | 4 | 4 | no | — |
| 845 | C2×C4 | — | 4 | 4 | no | — |
| 846 | C2×C4 | — | 8 | 1 | no | — |
| 847 | C2×C4 | — | 8 | 2 | no | — |
| 848 | C2×C4 | — | 8 | 2 | no | — |
| 849 | C2×C4 | — | 16 | 1 | no | — |
| 850 | C2×C4 | — | 32 | 8 | no | — |
| 851 | C2×C4 | D82 | 1 | 1 | yes | characteristic |
| 852 | C2×C4 | #19968 | 1 | 1 | yes | characteristic |
| 853 | C2×C4 | D4×#102 | 1 | 1 | yes | characteristic |
| 854 | C2×C4 | D4×D16 | 1 | 1 | yes | characteristic |
| 855 | C2×C4 | D4×SD32 | 1 | 1 | yes | characteristic |
| 856 | C2×C4 | #33858 | 1 | 1 | yes | characteristic |
| 857 | C8 | — | 2 | 4 | no | — |
| 858 | C8 | — | 4 | 2 | no | — |
| 859 | C8 | — | 4 | 4 | no | — |
| 860 | C8 | — | 8 | 2 | no | — |
| 861 | C8 | — | 8 | 2 | no | — |
| 862 | C8 | — | 32 | 2 | no | — |
| 863 | C8 | D8×SD16 | 1 | 1 | yes | characteristic |
| 864 | C8 | #19976 | 1 | 1 | yes | characteristic |
| 865 | C8 | C22⋊C4×D8 | 1 | 1 | yes | characteristic |
| 866 | C8 | #22466 | 1 | 1 | yes | characteristic |
| 867 | C8 | C22×#357 | 1 | 1 | yes | characteristic |
| 868 | C8 | #33381 | 1 | 1 | yes | characteristic |
| 869 | C8 | #33861 | 1 | 1 | yes | characteristic |
| 870 | C8 | #33862 | 1 | 1 | yes | characteristic |
| 871 | C22 | — | 4 | 1 | no | — |
| 872 | C22 | — | 4 | 4 | no | — |
| 873 | C22 | — | 8 | 2 | no | — |
| 874 | C22 | — | 16 | 2 | no | — |
| 875 | C22 | — | 16 | 2 | no | — |
| 876 | C22 | — | 32 | 4 | no | — |
| 877 | C22 | — | 64 | 4 | no | — |
| 878 | C22 | — | 64 | 4 | no | — |
| 879 | C22 | — | 128 | 2 | no | — |
| 880 | C22 | — | 128 | 8 | no | — |
| 881 | C22 | D8×SD32 | 1 | 1 | yes | characteristic |
| 882 | C22 | #492534 | 1 | 1 | yes | characteristic |
| 883 | C22 | #497404 | 1 | 1 | yes | characteristic |
| 884 | C4 | — | 2 | 2 | no | — |
| 885 | C4 | — | 4 | 1 | no | — |
| 886 | C4 | — | 4 | 4 | no | — |
| 887 | C4 | — | 8 | 2 | no | — |
| 888 | C4 | — | 32 | 1 | no | — |
| 889 | C4 | D8×#102 | 1 | 1 | yes | characteristic |
| 890 | C4 | D8×D16 | 1 | 1 | yes | characteristic |
| 891 | C4 | #492535 | 1 | 1 | yes | characteristic |
| 892 | C4 | D4×#357 | 1 | 1 | yes | characteristic |
| 893 | C2 | — | 2 | 1 | no | — |
| 894 | C2 | — | 2 | 1 | no | — |
| 895 | C2 | — | 2 | 1 | no | — |
| 896 | C2 | — | 8 | 4 | no | — |
| 897 | C2 | — | 16 | 2 | no | — |
| 898 | C2 | — | 64 | 4 | no | — |
| 899 | C2 | D8×#357 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | D8×#357 |
| commutator | C4×C16 | C23×C4 |
| Frattini, cosocle | C2×C4×C16 | C24 |
| prime radical | C2×#492532 | C2 |
| LCS | G ▷ C4×C16 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C2×C4×C8 ◁ C2×#12046 ◁ G | |
| LECS | G ▷ C2×C4×C16 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72226867 | C2 | semidirect |
| 2. #72226866 | C2 | semidirect |
| 3. #72226864 | C2 | semidirect |
| 4. #72225557 | C2 | semidirect |
| 5. #72225401 | C2 | semidirect |
| 6. #72225353 | C2 | semidirect |
| 7. #72225341 | C2 | semidirect |
| 8. #72225311 | C2 | semidirect |
| 10. #72216288 | C2 | semidirect |
| 11. #72216270 | C2 | semidirect |
| 14. #512751 | C22 | semidirect |
| 17. #497857 | C22 | semidirect |
| 20. #492532 | C4 | semidirect |
| 21. #492532 | C4 | semidirect |
| 28. #152994 | C22 | semidirect |
| 29. #152899 | C22 | semidirect |
| 30. #152899 | C22 | semidirect |
| 38. C2×#7459 | C22 | semidirect |
| 39. C2×#7448 | C22 | semidirect |
| 41. #150051 | C22 | semidirect |
| 42. C8×M64 | C22 | semidirect |
| 45. #135781 | C22 | semidirect |
| 46. #134971 | C22 | semidirect |
| 47. #129142 | C22 | semidirect |
| 48. #94365 | C22 | semidirect |
| 49. #94054 | C22 | semidirect |
| 50. #94029 | C22 | semidirect |
| 264. #1420 | D8 | semidirect |
| 270. #1419 | D8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72226867 | 2 |
| #72226866 | 2 |
| #72226864 | 2 |
| #72225557 | 2 |
| #72225401 | 2 |
| #72225353 | 2 |
| #72225341 | 2 |
| #72225311 | 2 |
| C2×#492532 | 2 |
| #72216288 | 2 |
| #72216270 | 2 |