Finite Group DatabasebetaFinite Group DatabasebetaOrder 4096.
3293 conjugacy classes of subgroups.
The subgroup lattice has 1005 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72216569 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72216565 | — | 2 | 2 | no | — |
| 3 | #72216530 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72216527 | — | 2 | 2 | no | — |
| 5 | C2×#93759 | — | 2 | 2 | no | — |
| 6 | #72216420 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #72216416 | C4 | 1 | 1 | yes | characteristic |
| 8 | #72216414 | — | 2 | 2 | no | — |
| 9 | #72216413 | C4 | 1 | 2 | yes | — |
| 10 | #72216412 | — | 2 | 2 | no | — |
| 11 | #72216411 | — | 2 | 2 | no | — |
| 12 | C2×#492532 | C4 | 1 | 1 | yes | characteristic |
| 13 | C4×#12310 | — | 2 | 2 | no | — |
| 14 | #72216405 | — | 2 | 2 | no | — |
| 15 | #72216402 | — | 2 | 2 | no | — |
| 16 | #72216289 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #72216280 | — | 2 | 2 | no | — |
| 18 | #72216279 | — | 2 | 2 | no | — |
| 19 | #72216247 | C22 | 1 | 2 | yes | complemented |
| 20 | #72216211 | C22 | 1 | 2 | yes | — |
| 21 | #72216188 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #72216178 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #72216171 | — | 2 | 2 | no | — |
| 24 | #72216168 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #72216165 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#33858 | — | 2 | 2 | no | — |
| 27 | #7622620 | — | 4 | 2 | no | — |
| 28 | C4×#3292 | — | 2 | 2 | no | — |
| 29 | #498572 | — | 2 | 2 | no | — |
| 30 | #498373 | — | 4 | 2 | no | — |
| 31 | #498318 | — | 2 | 4 | no | — |
| 32 | #498170 | — | 4 | 4 | no | — |
| 33 | #497891 | — | 2 | 2 | no | — |
| 34 | #497855 | — | 2 | 2 | no | — |
| 35 | #497459 | — | 4 | 2 | no | — |
| 36 | #497404 | — | 2 | 4 | no | — |
| 37 | #496104 | — | 2 | 2 | no | — |
| 38 | #495891 | — | 4 | 2 | no | — |
| 39 | C4×#2213 | — | 2 | 4 | no | — |
| 40 | #495715 | — | 4 | 4 | no | — |
| 41 | #493242 | D4 | 1 | 2 | yes | — |
| 42 | #493217 | — | 2 | 2 | no | — |
| 43 | #492532 | — | 2 | 2 | no | — |
| 44 | #492532 | — | 2 | 4 | no | — |
| 45 | #492532 | C8 | 1 | 4 | yes | complemented |
| 46 | C2×#12515 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | C2×#12436 | — | 2 | 2 | no | — |
| 48 | C2×#12310 | — | 2 | 2 | no | — |
| 49 | C2×#12047 | D4 | 1 | 2 | yes | — |
| 50 | C2×#12046 | C2×C4 | 1 | 2 | yes | — |
| 51 | C4×#1712 | D4 | 1 | 2 | yes | — |
| 52 | #151981 | — | 2 | 2 | no | — |
| 53 | C2×#7456 | — | 2 | 2 | no | — |
| 54 | C2×#7389 | — | 4 | 2 | no | — |
| 55 | #141681 | — | 2 | 2 | no | — |
| 56 | #141665 | D4 | 1 | 2 | yes | — |
| 57 | #141263 | — | 2 | 2 | no | — |
| 58 | #140526 | — | 4 | 4 | no | — |
| 59 | #140437 | — | 2 | 2 | no | — |
| 60 | #140228 | — | 2 | 4 | no | — |
| 61 | #138658 | — | 2 | 4 | no | — |
| 62 | #137551 | — | 2 | 2 | no | — |
| 63 | #136865 | — | 2 | 4 | no | — |
| 64 | #136488 | — | 2 | 2 | no | — |
| 65 | #136324 | — | 2 | 4 | no | — |
| 66 | #135778 | C2×C4 | 1 | 1 | yes | characteristic |
| 67 | #135715 | — | 2 | 2 | no | — |
| 68 | #134970 | — | 2 | 2 | no | — |
| 69 | #131832 | — | 2 | 2 | no | — |
| 70 | #129143 | D4 | 1 | 2 | yes | — |
| 71 | #129142 | C2×C4 | 1 | 2 | yes | — |
| 72 | #129101 | D4 | 1 | 2 | yes | — |
| 73 | C4×#1357 | — | 2 | 2 | no | — |
| 74 | #128674 | — | 2 | 2 | no | — |
| 75 | #128673 | — | 2 | 2 | no | — |
| 76 | C4×#1335 | — | 2 | 2 | no | — |
| 77 | #126522 | — | 2 | 1 | no | — |
| 78 | C8×#346 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×#7053 | — | 2 | 2 | no | — |
| 80 | #99295 | — | 2 | 1 | no | — |
| 81 | #94057 | — | 4 | 2 | no | — |
| 82 | #94018 | — | 2 | 2 | no | — |
| 83 | #93759 | — | 2 | 8 | no | — |
| 84 | C2×#3415 | — | 4 | 2 | no | — |
| 85 | C2×#3292 | — | 2 | 2 | no | — |
| 86 | C4×#576 | — | 4 | 4 | no | — |
| 87 | #33858 | — | 2 | 8 | no | — |
| 88 | #33858 | — | 2 | 8 | no | — |
| 89 | #33858 | — | 4 | 4 | no | — |
| 90 | #33858 | — | 4 | 4 | no | — |
| 91 | C2×#2246 | — | 2 | 2 | no | — |
| 92 | C2×#2221 | — | 4 | 2 | no | — |
| 93 | C2×#2213 | — | 2 | 4 | no | — |
| 94 | C2×#2192 | — | 4 | 4 | no | — |
| 95 | C2×#2179 | D8 | 1 | 2 | yes | — |
| 96 | C2×#2178 | C22⋊C4 | 1 | 2 | yes | — |
| 97 | #33460 | — | 4 | 2 | no | — |
| 98 | #33460 | — | 8 | 2 | no | — |
| 99 | #33456 | — | 4 | 2 | no | — |
| 100 | #33456 | — | 8 | 2 | no | — |
| 101 | #33454 | — | 4 | 4 | no | — |
| 102 | #33454 | — | 8 | 4 | no | — |
| 103 | C4×#509 | — | 4 | 4 | no | — |
| 104 | C4×#509 | — | 8 | 4 | no | — |
| 105 | #33451 | — | 8 | 2 | no | — |
| 106 | #33451 | SD16 | 1 | 2 | yes | — |
| 107 | C2×#2177 | — | 4 | 2 | no | — |
| 108 | C2×#2177 | — | 4 | 2 | no | — |
| 109 | C2×#2177 | — | 8 | 2 | no | — |
| 110 | C2×#2170 | — | 2 | 2 | no | — |
| 111 | C2×#2170 | — | 2 | 2 | no | — |
| 112 | #33411 | — | 4 | 2 | no | — |
| 113 | #33381 | — | 4 | 4 | no | — |
| 114 | #33326 | — | 4 | 2 | no | — |
| 115 | #23201 | — | 2 | 2 | no | — |
| 116 | #23046 | — | 4 | 4 | no | — |
| 117 | #22897 | — | 8 | 2 | no | — |
| 118 | #22692 | — | 2 | 4 | no | — |
| 119 | #22466 | — | 4 | 4 | no | — |
| 120 | C4×#493 | — | 2 | 2 | no | — |
| 121 | C4×#493 | — | 4 | 2 | no | — |
| 122 | C4×#472 | — | 4 | 4 | no | — |
| 123 | C4×#453 | — | 8 | 2 | no | — |
| 124 | C4×#443 | — | 2 | 2 | no | — |
| 125 | C2×#1712 | C22⋊C4 | 1 | 2 | yes | — |
| 126 | C2×#1422 | — | 4 | 2 | no | — |
| 127 | C2×#1398 | — | 4 | 2 | no | — |
| 128 | #13261 | — | 2 | 4 | no | — |
| 129 | #13245 | — | 4 | 2 | no | — |
| 130 | #13239 | — | 4 | 2 | no | — |
| 131 | #13239 | — | 4 | 2 | no | — |
| 132 | #13202 | — | 2 | 4 | no | — |
| 133 | #13181 | — | 2 | 4 | no | — |
| 134 | #13172 | — | 4 | 2 | no | — |
| 135 | #13144 | — | 4 | 4 | no | — |
| 136 | #13136 | — | 4 | 4 | no | — |
| 137 | #13073 | — | 4 | 4 | no | — |
| 138 | #13029 | — | 4 | 4 | no | — |
| 139 | #13022 | — | 4 | 4 | no | — |
| 140 | #13017 | — | 4 | 4 | no | — |
| 141 | #12996 | — | 4 | 4 | no | — |
| 142 | #12946 | — | 4 | 4 | no | — |
| 143 | #12940 | — | 4 | 4 | no | — |
| 144 | #12926 | — | 4 | 4 | no | — |
| 145 | #12906 | — | 2 | 2 | no | — |
| 146 | #12843 | — | 4 | 2 | no | — |
| 147 | #12821 | — | 2 | 4 | no | — |
| 148 | #12748 | — | 4 | 4 | no | — |
| 149 | #12676 | SD16 | 1 | 2 | yes | — |
| 150 | #12671 | D8 | 1 | 2 | yes | — |
| 151 | #12670 | C22⋊C4 | 1 | 2 | yes | — |
| 152 | #12664 | — | 2 | 2 | no | — |
| 153 | #12664 | — | 2 | 2 | no | — |
| 154 | C4×#364 | — | 2 | 2 | no | — |
| 155 | C4×#361 | — | 4 | 4 | no | — |
| 156 | #12642 | — | 2 | 2 | no | — |
| 157 | #12641 | — | 2 | 2 | no | — |
| 158 | #12640 | — | 2 | 2 | no | — |
| 159 | #12615 | — | 4 | 2 | no | — |
| 160 | #12615 | — | 4 | 2 | no | — |
| 161 | #12604 | — | 4 | 2 | no | — |
| 162 | C4×#346 | — | 2 | 2 | no | — |
| 163 | C4×#346 | C2×D4 | 1 | 2 | yes | — |
| 164 | #12515 | — | 2 | 2 | no | — |
| 165 | #12515 | C2×C8 | 1 | 2 | yes | — |
| 166 | #12515 | M16 | 1 | 2 | yes | — |
| 167 | #12436 | — | 2 | 8 | no | — |
| 168 | #12436 | — | 2 | 8 | no | — |
| 169 | #12310 | — | 2 | 8 | no | — |
| 170 | #12310 | — | 2 | 8 | no | — |
| 171 | #12047 | — | 2 | 4 | no | — |
| 172 | #12047 | — | 4 | 2 | no | — |
| 173 | #12046 | — | 2 | 2 | no | — |
| 174 | #12046 | — | 2 | 2 | no | — |
| 175 | #12046 | C2×C8 | 1 | 4 | yes | — |
| 176 | #12046 | M16 | 1 | 4 | yes | — |
| 177 | C2×#1373 | C22⋊C4 | 1 | 2 | yes | — |
| 178 | C2×#1373 | C22⋊C4 | 1 | 2 | yes | — |
| 179 | C2×#1368 | — | 4 | 2 | no | — |
| 180 | C2×#1368 | — | 4 | 2 | no | — |
| 181 | C2×#1357 | — | 2 | 2 | no | — |
| 182 | C2×#1357 | — | 2 | 2 | no | — |
| 183 | C2×#1335 | — | 2 | 2 | no | — |
| 184 | C2×#1335 | — | 2 | 2 | no | — |
| 185 | C2×#1333 | — | 8 | 8 | no | — |
| 186 | C2×#1312 | — | 4 | 1 | no | — |
| 187 | C2×#1312 | — | 4 | 1 | no | — |
| 188 | C2×#1311 | C2×D4 | 1 | 2 | yes | — |
| 189 | C2×C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 190 | C2×C8×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | #9824 | — | 2 | 2 | no | — |
| 192 | #9824 | — | 4 | 2 | no | — |
| 193 | #8818 | C22⋊C4 | 1 | 2 | yes | — |
| 194 | #8805 | — | 4 | 2 | no | — |
| 195 | #8805 | — | 4 | 1 | no | — |
| 196 | C4×C82 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | #7468 | — | 4 | 2 | no | — |
| 198 | #7456 | — | 2 | 4 | no | — |
| 199 | #7456 | — | 4 | 2 | no | — |
| 200 | #7389 | — | 8 | 4 | no | — |
| 201 | #7269 | — | 2 | 4 | no | — |
| 202 | #7179 | — | 2 | 2 | no | — |
| 203 | #7179 | — | 2 | 2 | no | — |
| 204 | #7160 | — | 2 | 2 | no | — |
| 205 | #7053 | — | 2 | 4 | no | — |
| 206 | #7053 | — | 4 | 2 | no | — |
| 207 | C2×#576 | — | 4 | 4 | no | — |
| 208 | C4×H(5,𝔽2) | — | 8 | 2 | no | — |
| 209 | #3415 | — | 4 | 8 | no | — |
| 210 | #3415 | — | 4 | 8 | no | — |
| 211 | #3415 | — | 8 | 4 | no | — |
| 212 | #3415 | — | 8 | 4 | no | — |
| 213 | C2×#509 | — | 4 | 4 | no | — |
| 214 | C2×#509 | — | 8 | 4 | no | — |
| 215 | C2×#508 | — | 8 | 2 | no | — |
| 216 | C2×#508 | #102 | 1 | 2 | yes | — |
| 217 | C22×D16 | — | 4 | 2 | no | — |
| 218 | C22×D16 | — | 4 | 2 | no | — |
| 219 | C22×D16 | — | 8 | 2 | no | — |
| 220 | C2×#504 | — | 4 | 2 | no | — |
| 221 | C2×#504 | — | 4 | 2 | no | — |
| 222 | #3292 | — | 2 | 8 | no | — |
| 223 | #3292 | — | 4 | 8 | no | — |
| 224 | #3292 | — | 8 | 2 | no | — |
| 225 | C2×#493 | — | 2 | 2 | no | — |
| 226 | C2×#493 | — | 4 | 2 | no | — |
| 227 | C2×#472 | — | 4 | 4 | no | — |
| 228 | C2×#453 | — | 8 | 2 | no | — |
| 229 | C2×#443 | — | 2 | 2 | no | — |
| 230 | C2×#443 | — | 2 | 2 | no | — |
| 231 | #2951 | — | 4 | 4 | no | — |
| 232 | #2951 | — | 8 | 4 | no | — |
| 233 | #2948 | — | 4 | 4 | no | — |
| 234 | #2948 | — | 8 | 4 | no | — |
| 235 | #2946 | — | 8 | 4 | no | — |
| 236 | #2946 | — | 16 | 4 | no | — |
| 237 | C4×AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 238 | C4×AGL(1,ℤ/8) | — | 16 | 4 | no | — |
| 239 | C4×#135 | — | 2 | 2 | no | — |
| 240 | C4×#135 | — | 8 | 4 | no | — |
| 241 | C2×C4×D8 | — | 4 | 4 | no | — |
| 242 | C2×C4×D8 | — | 8 | 4 | no | — |
| 243 | C2×C4×D8 | — | 8 | 4 | no | — |
| 244 | #2913 | — | 4 | 4 | no | — |
| 245 | #2897 | — | 8 | 4 | no | — |
| 246 | C4×#131 | — | 4 | 2 | no | — |
| 247 | C4×#127 | — | 4 | 2 | no | — |
| 248 | C2×M64 | — | 8 | 2 | no | — |
| 249 | #2246 | — | 2 | 4 | no | — |
| 250 | #2246 | — | 2 | 4 | no | — |
| 251 | #2246 | — | 4 | 2 | no | — |
| 252 | #2246 | — | 4 | 2 | no | — |
| 253 | #2221 | — | 4 | 8 | no | — |
| 254 | #2221 | — | 4 | 8 | no | — |
| 255 | #2213 | — | 2 | 16 | no | — |
| 256 | #2213 | — | 4 | 8 | no | — |
| 257 | #2192 | — | 4 | 16 | no | — |
| 258 | #2192 | — | 4 | 16 | no | — |
| 259 | #2179 | — | 2 | 4 | no | — |
| 260 | #2179 | — | 4 | 2 | no | — |
| 261 | #2178 | — | 2 | 2 | no | — |
| 262 | #2178 | — | 2 | 2 | no | — |
| 263 | #2178 | C22⋊C8 | 1 | 4 | yes | — |
| 264 | #2178 | #104 | 1 | 4 | yes | — |
| 265 | #2177 | — | 2 | 2 | no | — |
| 266 | #2177 | — | 8 | 2 | no | — |
| 267 | #2177 | — | 8 | 2 | no | — |
| 268 | #2177 | — | 8 | 2 | no | — |
| 269 | #2177 | — | 8 | 2 | no | — |
| 270 | #2177 | — | 8 | 4 | no | — |
| 271 | #2177 | — | 8 | 2 | no | — |
| 272 | #2177 | — | 8 | 2 | no | — |
| 273 | #2177 | — | 8 | 4 | no | — |
| 274 | #2177 | — | 8 | 2 | no | — |
| 275 | #2177 | — | 16 | 2 | no | — |
| 276 | #2177 | — | 16 | 2 | no | — |
| 277 | #2176 | — | 2 | 2 | no | — |
| 278 | #2176 | — | 8 | 2 | no | — |
| 279 | #2175 | — | 2 | 4 | no | — |
| 280 | #2175 | — | 8 | 4 | no | — |
| 281 | #2175 | — | 8 | 4 | no | — |
| 282 | C4×SD32 | — | 8 | 4 | no | — |
| 283 | C4×SD32 | — | 8 | 4 | no | — |
| 284 | C4×SD32 | — | 8 | 4 | no | — |
| 285 | C4×D16 | — | 8 | 4 | no | — |
| 286 | C4×D16 | — | 8 | 4 | no | — |
| 287 | C4×D16 | — | 8 | 4 | no | — |
| 288 | #2170 | — | 2 | 4 | no | — |
| 289 | #2170 | — | 2 | 4 | no | — |
| 290 | #2170 | — | 4 | 4 | no | — |
| 291 | #2170 | — | 4 | 2 | no | — |
| 292 | #2170 | — | 4 | 2 | no | — |
| 293 | #2170 | — | 8 | 2 | no | — |
| 294 | C2×#368 | #102 | 1 | 2 | yes | — |
| 295 | C2×#368 | #102 | 1 | 2 | yes | — |
| 296 | #2159 | — | 4 | 4 | no | — |
| 297 | #2159 | — | 8 | 4 | no | — |
| 298 | #2158 | — | 8 | 2 | no | — |
| 299 | #2158 | #102 | 1 | 2 | yes | — |
| 300 | C2×#367 | — | 4 | 2 | no | — |
| 301 | C2×#367 | — | 4 | 2 | no | — |
| 302 | C2×#367 | — | 8 | 2 | no | — |
| 303 | C2×#364 | — | 2 | 2 | no | — |
| 304 | C2×#364 | — | 2 | 2 | no | — |
| 305 | C2×#361 | — | 4 | 4 | no | — |
| 306 | C2×#361 | — | 4 | 4 | no | — |
| 307 | C2×#359 | — | 2 | 2 | no | — |
| 308 | C2×#359 | — | 2 | 2 | no | — |
| 309 | #2140 | — | 4 | 4 | no | — |
| 310 | #2140 | — | 8 | 4 | no | — |
| 311 | #2139 | — | 4 | 4 | no | — |
| 312 | #2139 | — | 8 | 4 | no | — |
| 313 | #2138 | — | 2 | 2 | no | — |
| 314 | #2138 | — | 8 | 4 | no | — |
| 315 | C2×#357 | — | 4 | 4 | no | — |
| 316 | C2×#357 | — | 4 | 4 | no | — |
| 317 | C2×#357 | — | 8 | 4 | no | — |
| 318 | C2×#350 | — | 4 | 2 | no | — |
| 319 | C2×#350 | — | 4 | 2 | no | — |
| 320 | #2108 | — | 4 | 2 | no | — |
| 321 | #2108 | — | 4 | 2 | no | — |
| 322 | #2108 | — | 8 | 2 | no | — |
| 323 | #2108 | — | 8 | 2 | no | — |
| 324 | C4×M32 | — | 4 | 2 | no | — |
| 325 | C4×M32 | — | 8 | 2 | no | — |
| 326 | C2×#346 | — | 4 | 4 | no | — |
| 327 | C2×#346 | — | 8 | 2 | no | — |
| 328 | C2×#346 | C2×D8 | 1 | 2 | yes | — |
| 329 | C2×#346 | C2×SD16 | 1 | 2 | yes | — |
| 330 | C2×#346 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 331 | C2×#346 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 332 | C2×C4×C16 | — | 4 | 2 | no | — |
| 333 | C2×C4×C16 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 334 | C2×C4×C16 | #120 | 1 | 2 | yes | — |
| 335 | #1978 | — | 4 | 4 | no | — |
| 336 | #1970 | — | 4 | 4 | no | — |
| 337 | #1970 | — | 8 | 4 | no | — |
| 338 | #1957 | — | 4 | 2 | no | — |
| 339 | #1957 | — | 8 | 2 | no | — |
| 340 | #1952 | — | 4 | 4 | no | — |
| 341 | #1931 | — | 8 | 4 | no | — |
| 342 | #1907 | — | 8 | 4 | no | — |
| 343 | #1887 | — | 8 | 2 | no | — |
| 344 | #1883 | — | 8 | 4 | no | — |
| 345 | #1859 | — | 8 | 4 | no | — |
| 346 | #1856 | — | 8 | 2 | no | — |
| 347 | #1845 | — | 2 | 2 | no | — |
| 348 | #1845 | — | 4 | 2 | no | — |
| 349 | #1842 | — | 8 | 1 | no | — |
| 350 | #1816 | — | 4 | 4 | no | — |
| 351 | #1792 | — | 8 | 2 | no | — |
| 352 | C4×#108 | — | 2 | 2 | no | — |
| 353 | #1772 | — | 2 | 2 | no | — |
| 354 | #1772 | — | 2 | 2 | no | — |
| 355 | #1764 | — | 4 | 2 | no | — |
| 356 | #1764 | — | 4 | 2 | no | — |
| 357 | C4×#104 | — | 4 | 2 | no | — |
| 358 | C4×#100 | — | 8 | 2 | no | — |
| 359 | C42×C8 | — | 2 | 1 | no | — |
| 360 | C42×C8 | #120 | 1 | 1 | yes | characteristic |
| 361 | #1712 | — | 2 | 2 | no | — |
| 362 | #1712 | — | 4 | 2 | no | — |
| 363 | #1712 | C22⋊C8 | 1 | 4 | yes | — |
| 364 | C2×#334 | — | 8 | 4 | no | — |
| 365 | C2×#334 | — | 8 | 2 | no | — |
| 366 | C2×C82 | — | 2 | 1 | no | — |
| 367 | C2×C82 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 368 | C2×C82 | #120 | 1 | 1 | yes | characteristic |
| 369 | #1422 | — | 4 | 4 | no | — |
| 370 | #1422 | — | 8 | 2 | no | — |
| 371 | #1398 | — | 8 | 2 | no | — |
| 372 | #1398 | — | 8 | 2 | no | — |
| 373 | #1387 | — | 4 | 4 | no | — |
| 374 | #1387 | — | 4 | 4 | no | — |
| 375 | #1382 | — | 2 | 2 | no | — |
| 376 | #1382 | — | 2 | 2 | no | — |
| 377 | #1381 | — | 2 | 2 | no | — |
| 378 | #1379 | — | 4 | 2 | no | — |
| 379 | #1379 | — | 4 | 2 | no | — |
| 380 | #1376 | — | 4 | 2 | no | — |
| 381 | #1373 | — | 2 | 2 | no | — |
| 382 | #1373 | — | 2 | 2 | no | — |
| 383 | #1373 | — | 2 | 2 | no | — |
| 384 | #1373 | C22⋊C8 | 1 | 4 | yes | — |
| 385 | #1368 | — | 8 | 2 | no | — |
| 386 | #1368 | — | 8 | 2 | no | — |
| 387 | #1368 | — | 16 | 2 | no | — |
| 388 | #1357 | — | 2 | 8 | no | — |
| 389 | #1357 | — | 8 | 2 | no | — |
| 390 | #1335 | — | 2 | 4 | no | — |
| 391 | #1335 | — | 2 | 4 | no | — |
| 392 | #1335 | — | 4 | 4 | no | — |
| 393 | #1333 | — | 16 | 16 | no | — |
| 394 | #1312 | — | 4 | 4 | no | — |
| 395 | #1312 | — | 8 | 2 | no | — |
| 396 | #1311 | — | 2 | 2 | no | — |
| 397 | #1311 | — | 2 | 2 | no | — |
| 398 | C8×C16 | — | 4 | 1 | no | — |
| 399 | C8×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 400 | C8×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 401 | C8×C16 | C2×M16 | 1 | 2 | yes | — |
| 402 | C2×H(5,𝔽2) | — | 8 | 2 | no | — |
| 403 | #576 | — | 4 | 16 | no | — |
| 404 | #576 | — | 8 | 8 | no | — |
| 405 | #576 | — | 8 | 8 | no | — |
| 406 | #576 | — | 16 | 4 | no | — |
| 407 | C2×AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 408 | C2×AGL(1,ℤ/8) | — | 16 | 4 | no | — |
| 409 | C2×#135 | — | 2 | 2 | no | — |
| 410 | C2×#135 | — | 8 | 4 | no | — |
| 411 | C22×D8 | — | 4 | 4 | no | — |
| 412 | C22×D8 | — | 8 | 4 | no | — |
| 413 | C22×D8 | — | 8 | 4 | no | — |
| 414 | C2×#131 | — | 4 | 2 | no | — |
| 415 | C2×#131 | — | 4 | 2 | no | — |
| 416 | C2×#127 | — | 4 | 2 | no | — |
| 417 | #520 | — | 8 | 4 | no | — |
| 418 | #520 | — | 16 | 4 | no | — |
| 419 | #518 | — | 8 | 2 | no | — |
| 420 | #518 | — | 16 | 4 | no | — |
| 421 | #518 | — | 32 | 2 | no | — |
| 422 | C4×#41 | — | 4 | 2 | no | — |
| 423 | C4×#41 | — | 16 | 4 | no | — |
| 424 | C2×C4×D4 | — | 8 | 2 | no | — |
| 425 | C2×C4×D4 | — | 16 | 2 | no | — |
| 426 | C2×C4×D4 | — | 16 | 4 | no | — |
| 427 | C2×C4×D4 | — | 32 | 2 | no | — |
| 428 | #509 | — | 4 | 16 | no | — |
| 429 | #509 | — | 8 | 16 | no | — |
| 430 | #509 | — | 8 | 16 | no | — |
| 431 | #509 | — | 8 | 8 | no | — |
| 432 | #508 | — | 2 | 2 | no | — |
| 433 | #508 | — | 2 | 2 | no | — |
| 434 | #508 | — | 8 | 8 | no | — |
| 435 | #508 | — | 8 | 8 | no | — |
| 436 | #508 | D4⋊C8 | 1 | 4 | yes | — |
| 437 | #508 | #360 | 1 | 4 | yes | — |
| 438 | C2×Q32 | #361 | 1 | 2 | yes | — |
| 439 | C2×SD32 | — | 2 | 2 | no | — |
| 440 | C2×SD32 | — | 8 | 4 | no | — |
| 441 | C2×D16 | — | 4 | 4 | no | — |
| 442 | C2×D16 | — | 4 | 4 | no | — |
| 443 | C2×D16 | — | 4 | 4 | no | — |
| 444 | C2×D16 | — | 4 | 4 | no | — |
| 445 | C2×D16 | — | 8 | 8 | no | — |
| 446 | C2×D16 | — | 8 | 4 | no | — |
| 447 | C2×D16 | — | 8 | 8 | no | — |
| 448 | C2×D16 | — | 8 | 2 | no | — |
| 449 | C2×D16 | — | 8 | 2 | no | — |
| 450 | C2×D16 | — | 8 | 2 | no | — |
| 451 | C2×D16 | — | 8 | 2 | no | — |
| 452 | C2×D16 | — | 16 | 2 | no | — |
| 453 | C2×D16 | — | 16 | 2 | no | — |
| 454 | C2×D16 | #361 | 1 | 2 | yes | — |
| 455 | #504 | — | 4 | 4 | no | — |
| 456 | #504 | — | 4 | 4 | no | — |
| 457 | #504 | — | 8 | 4 | no | — |
| 458 | #504 | — | 8 | 2 | no | — |
| 459 | #504 | — | 8 | 2 | no | — |
| 460 | #504 | — | 16 | 2 | no | — |
| 461 | C2×M32 | — | 4 | 2 | no | — |
| 462 | C2×M32 | — | 4 | 2 | no | — |
| 463 | C2×M32 | — | 8 | 2 | no | — |
| 464 | C2×M32 | — | 8 | 2 | no | — |
| 465 | C22×C16 | — | 8 | 2 | no | — |
| 466 | C22×C16 | — | 8 | 2 | no | — |
| 467 | C22×C16 | — | 8 | 2 | no | — |
| 468 | C22×C16 | C2×#102 | 1 | 2 | yes | — |
| 469 | C22×C16 | #418 | 1 | 2 | yes | — |
| 470 | C22×C16 | #447 | 1 | 2 | yes | — |
| 471 | C22×C16 | #450 | 1 | 2 | yes | — |
| 472 | #493 | — | 2 | 4 | no | — |
| 473 | #493 | — | 4 | 4 | no | — |
| 474 | #493 | — | 4 | 2 | no | — |
| 475 | #493 | — | 4 | 4 | no | — |
| 476 | #493 | — | 8 | 2 | no | — |
| 477 | #493 | — | 8 | 4 | no | — |
| 478 | #472 | — | 4 | 16 | no | — |
| 479 | #472 | — | 8 | 8 | no | — |
| 480 | #453 | — | 8 | 8 | no | — |
| 481 | #453 | — | 8 | 8 | no | — |
| 482 | #443 | — | 2 | 4 | no | — |
| 483 | #443 | — | 2 | 4 | no | — |
| 484 | #443 | — | 4 | 4 | no | — |
| 485 | #443 | — | 4 | 2 | no | — |
| 486 | #443 | — | 4 | 2 | no | — |
| 487 | #443 | — | 8 | 2 | no | — |
| 488 | #442 | — | 16 | 4 | no | — |
| 489 | #442 | — | 16 | 4 | no | — |
| 490 | #442 | — | 16 | 4 | no | — |
| 491 | #440 | — | 16 | 4 | no | — |
| 492 | #440 | — | 16 | 4 | no | — |
| 493 | #440 | — | 16 | 4 | no | — |
| 494 | C4×Q16 | — | 2 | 4 | no | — |
| 495 | C4×Q16 | — | 8 | 4 | no | — |
| 496 | C4×SD16 | — | 4 | 4 | no | — |
| 497 | C4×SD16 | — | 16 | 4 | no | — |
| 498 | C4×SD16 | — | 16 | 4 | no | — |
| 499 | C4×D8 | — | 2 | 4 | no | — |
| 500 | C4×D8 | — | 8 | 4 | no | — |
| 501 | C4×D8 | — | 8 | 4 | no | — |
| 502 | C4×D8 | — | 8 | 4 | no | — |
| 503 | C4×D8 | — | 8 | 4 | no | — |
| 504 | C4×D8 | — | 8 | 4 | no | — |
| 505 | C4×D8 | — | 8 | 4 | no | — |
| 506 | C4×D8 | — | 8 | 4 | no | — |
| 507 | C4×D8 | — | 16 | 8 | no | — |
| 508 | C4×D8 | — | 16 | 8 | no | — |
| 509 | C4×D8 | — | 16 | 4 | no | — |
| 510 | C4×D8 | — | 16 | 4 | no | — |
| 511 | C2×#108 | — | 2 | 2 | no | — |
| 512 | C2×#108 | — | 2 | 2 | no | — |
| 513 | #428 | — | 8 | 4 | no | — |
| 514 | #428 | — | 16 | 4 | no | — |
| 515 | #427 | — | 2 | 2 | no | — |
| 516 | #427 | — | 8 | 4 | no | — |
| 517 | C2×#107 | — | 4 | 4 | no | — |
| 518 | C2×#107 | — | 8 | 4 | no | — |
| 519 | C2×#107 | — | 8 | 4 | no | — |
| 520 | C2×C4⋊C8 | — | 16 | 2 | no | — |
| 521 | C2×C4⋊C8 | — | 16 | 1 | no | — |
| 522 | C2×#104 | — | 4 | 2 | no | — |
| 523 | C2×#104 | — | 4 | 2 | no | — |
| 524 | #418 | — | 8 | 4 | no | — |
| 525 | #418 | — | 16 | 4 | no | — |
| 526 | #417 | — | 8 | 4 | no | — |
| 527 | #417 | — | 16 | 4 | no | — |
| 528 | #416 | — | 4 | 2 | no | — |
| 529 | #416 | — | 16 | 4 | no | — |
| 530 | C2×#102 | — | 8 | 4 | no | — |
| 531 | C2×#102 | — | 16 | 4 | no | — |
| 532 | C2×#102 | — | 16 | 4 | no | — |
| 533 | C2×#100 | — | 8 | 2 | no | — |
| 534 | C2×#100 | — | 8 | 2 | no | — |
| 535 | #405 | — | 4 | 2 | no | — |
| 536 | #405 | — | 4 | 2 | no | — |
| 537 | #405 | — | 8 | 2 | no | — |
| 538 | #405 | — | 8 | 2 | no | — |
| 539 | C4×M16 | — | 4 | 2 | no | — |
| 540 | C4×M16 | — | 8 | 2 | no | — |
| 541 | C2×C4×C8 | — | 2 | 1 | no | — |
| 542 | C2×C4×C8 | — | 2 | 4 | no | — |
| 543 | C2×C4×C8 | — | 2 | 1 | no | — |
| 544 | C2×C4×C8 | — | 8 | 2 | no | — |
| 545 | C2×C4×C8 | #379 | 1 | 1 | yes | characteristic |
| 546 | C2×C4×C8 | #447 | 1 | 2 | yes | — |
| 547 | C2×C4×C8 | #450 | 1 | 2 | yes | — |
| 548 | C2×C4×C8 | #455 | 1 | 1 | yes | characteristic |
| 549 | #390 | — | 8 | 2 | no | — |
| 550 | #390 | — | 16 | 2 | no | — |
| 551 | #384 | — | 4 | 2 | no | — |
| 552 | C43 | #453 | 1 | 1 | yes | characteristic |
| 553 | M64 | — | 8 | 4 | no | — |
| 554 | M64 | — | 16 | 2 | no | — |
| 555 | C2×C32 | — | 16 | 2 | no | — |
| 556 | #368 | — | 2 | 2 | no | — |
| 557 | #368 | — | 2 | 2 | no | — |
| 558 | #368 | — | 2 | 2 | no | — |
| 559 | #368 | D4⋊C8 | 1 | 4 | yes | — |
| 560 | #367 | — | 2 | 2 | no | — |
| 561 | #367 | — | 8 | 4 | no | — |
| 562 | #367 | — | 8 | 2 | no | — |
| 563 | #367 | — | 8 | 2 | no | — |
| 564 | #367 | — | 16 | 2 | no | — |
| 565 | #366 | — | 8 | 4 | no | — |
| 566 | #366 | #361 | 1 | 4 | yes | — |
| 567 | #364 | — | 2 | 4 | no | — |
| 568 | #364 | — | 4 | 2 | no | — |
| 569 | #364 | — | 4 | 2 | no | — |
| 570 | #364 | — | 4 | 2 | no | — |
| 571 | #361 | — | 4 | 16 | no | — |
| 572 | #361 | — | 16 | 4 | no | — |
| 573 | #359 | — | 2 | 4 | no | — |
| 574 | #359 | — | 2 | 4 | no | — |
| 575 | #359 | — | 4 | 4 | no | — |
| 576 | #358 | — | 2 | 4 | no | — |
| 577 | #358 | — | 8 | 4 | no | — |
| 578 | #357 | — | 2 | 4 | no | — |
| 579 | #357 | — | 8 | 4 | no | — |
| 580 | #357 | — | 8 | 4 | no | — |
| 581 | #357 | — | 8 | 4 | no | — |
| 582 | #357 | — | 8 | 4 | no | — |
| 583 | #357 | — | 8 | 4 | no | — |
| 584 | #357 | — | 16 | 4 | no | — |
| 585 | #350 | — | 4 | 4 | no | — |
| 586 | #350 | — | 4 | 4 | no | — |
| 587 | #350 | — | 8 | 4 | no | — |
| 588 | #346 | — | 2 | 2 | no | — |
| 589 | #346 | — | 2 | 2 | no | — |
| 590 | #346 | — | 2 | 2 | no | — |
| 591 | #346 | — | 2 | 2 | no | — |
| 592 | #346 | — | 4 | 2 | no | — |
| 593 | #346 | — | 4 | 2 | no | — |
| 594 | #346 | — | 8 | 2 | no | — |
| 595 | #346 | — | 8 | 8 | no | — |
| 596 | #346 | — | 8 | 2 | no | — |
| 597 | #346 | — | 8 | 2 | no | — |
| 598 | C4×C16 | — | 2 | 2 | no | — |
| 599 | C4×C16 | — | 2 | 2 | no | — |
| 600 | C4×C16 | — | 4 | 4 | no | — |
| 601 | C4×C16 | — | 8 | 2 | no | — |
| 602 | C4×C16 | — | 8 | 2 | no | — |
| 603 | C4×C16 | — | 8 | 2 | no | — |
| 604 | C4×C16 | — | 8 | 2 | no | — |
| 605 | C4×C16 | C2×C22⋊C8 | 1 | 2 | yes | — |
| 606 | C4×C16 | #407 | 1 | 2 | yes | — |
| 607 | C4×C16 | C2×#104 | 1 | 2 | yes | — |
| 608 | C4×C16 | #421 | 1 | 2 | yes | — |
| 609 | #343 | — | 8 | 4 | no | — |
| 610 | #341 | — | 4 | 2 | no | — |
| 611 | #339 | — | 4 | 2 | no | — |
| 612 | #339 | — | 4 | 2 | no | — |
| 613 | #334 | — | 16 | 2 | no | — |
| 614 | #334 | — | 16 | 2 | no | — |
| 615 | #334 | — | 16 | 8 | no | — |
| 616 | C82 | — | 2 | 1 | no | — |
| 617 | C82 | — | 2 | 2 | no | — |
| 618 | C82 | — | 4 | 2 | no | — |
| 619 | C82 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 620 | C82 | #407 | 1 | 1 | yes | characteristic |
| 621 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 622 | H(5,𝔽2) | — | 16 | 8 | no | — |
| 623 | H(5,𝔽2) | — | 32 | 2 | no | — |
| 624 | C2×#41 | — | 4 | 2 | no | — |
| 625 | C2×#41 | — | 16 | 4 | no | — |
| 626 | C22×D4 | — | 8 | 2 | no | — |
| 627 | C22×D4 | — | 16 | 2 | no | — |
| 628 | C22×D4 | — | 16 | 4 | no | — |
| 629 | C22×D4 | — | 32 | 2 | no | — |
| 630 | C23×C4 | — | 16 | 2 | no | — |
| 631 | C23×C4 | — | 32 | 2 | no | — |
| 632 | AGL(1,ℤ/8) | — | 8 | 16 | no | — |
| 633 | AGL(1,ℤ/8) | — | 16 | 16 | no | — |
| 634 | AGL(1,ℤ/8) | — | 16 | 16 | no | — |
| 635 | AGL(1,ℤ/8) | — | 16 | 8 | no | — |
| 636 | #135 | — | 2 | 4 | no | — |
| 637 | #135 | — | 2 | 4 | no | — |
| 638 | #135 | — | 4 | 2 | no | — |
| 639 | #135 | — | 4 | 2 | no | — |
| 640 | #135 | — | 8 | 16 | no | — |
| 641 | #135 | — | 16 | 8 | no | — |
| 642 | C2×Q16 | — | 2 | 2 | no | — |
| 643 | C2×SD16 | — | 4 | 2 | no | — |
| 644 | C2×SD16 | — | 16 | 4 | no | — |
| 645 | C2×D8 | — | 2 | 2 | no | — |
| 646 | C2×D8 | — | 4 | 8 | no | — |
| 647 | C2×D8 | — | 8 | 8 | no | — |
| 648 | C2×D8 | — | 8 | 16 | no | — |
| 649 | C2×D8 | — | 8 | 4 | no | — |
| 650 | C2×D8 | — | 8 | 4 | no | — |
| 651 | C2×D8 | — | 8 | 4 | no | — |
| 652 | C2×D8 | — | 8 | 4 | no | — |
| 653 | C2×D8 | — | 8 | 4 | no | — |
| 654 | C2×D8 | — | 16 | 8 | no | — |
| 655 | C2×D8 | — | 16 | 8 | no | — |
| 656 | C2×D8 | — | 16 | 4 | no | — |
| 657 | C2×D8 | — | 16 | 8 | no | — |
| 658 | C2×D8 | — | 16 | 4 | no | — |
| 659 | #131 | — | 4 | 4 | no | — |
| 660 | #131 | — | 4 | 4 | no | — |
| 661 | #131 | — | 8 | 4 | no | — |
| 662 | #131 | — | 8 | 2 | no | — |
| 663 | #131 | — | 8 | 2 | no | — |
| 664 | #131 | — | 16 | 2 | no | — |
| 665 | C2×M16 | — | 4 | 2 | no | — |
| 666 | C2×M16 | — | 4 | 2 | no | — |
| 667 | C2×M16 | — | 8 | 2 | no | — |
| 668 | C2×M16 | — | 8 | 2 | no | — |
| 669 | C22×C8 | — | 2 | 2 | no | — |
| 670 | C22×C8 | — | 2 | 2 | no | — |
| 671 | C22×C8 | — | 8 | 2 | no | — |
| 672 | C22×C8 | — | 8 | 2 | no | — |
| 673 | C22×C8 | — | 32 | 1 | no | — |
| 674 | C22×C8 | #1639 | 1 | 2 | yes | — |
| 675 | C22×C8 | #1786 | 1 | 2 | yes | — |
| 676 | #127 | — | 4 | 4 | no | — |
| 677 | #127 | — | 8 | 2 | no | — |
| 678 | #127 | — | 16 | 2 | no | — |
| 679 | C4×Q8 | — | 4 | 4 | no | — |
| 680 | C4×Q8 | — | 16 | 4 | no | — |
| 681 | C4×D4 | — | 4 | 4 | no | — |
| 682 | C4×D4 | — | 8 | 4 | no | — |
| 683 | C4×D4 | — | 16 | 4 | no | — |
| 684 | C4×D4 | — | 16 | 4 | no | — |
| 685 | C4×D4 | — | 16 | 4 | no | — |
| 686 | C4×D4 | — | 16 | 4 | no | — |
| 687 | C4×D4 | — | 16 | 4 | no | — |
| 688 | C4×D4 | — | 32 | 4 | no | — |
| 689 | C4×D4 | — | 32 | 4 | no | — |
| 690 | C4×D4 | — | 32 | 4 | no | — |
| 691 | C4×D4 | — | 32 | 4 | no | — |
| 692 | C4×D4 | — | 32 | 4 | no | — |
| 693 | C4×D4 | — | 32 | 4 | no | — |
| 694 | C4×D4 | — | 32 | 4 | no | — |
| 695 | #117 | — | 4 | 2 | no | — |
| 696 | #117 | — | 8 | 2 | no | — |
| 697 | #117 | — | 16 | 4 | no | — |
| 698 | #117 | — | 32 | 4 | no | — |
| 699 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 700 | C2×C4⋊C4 | — | 16 | 4 | no | — |
| 701 | C2×C4⋊C4 | — | 16 | 2 | no | — |
| 702 | C2×C4⋊C4 | — | 32 | 2 | no | — |
| 703 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 704 | C2×C22⋊C4 | — | 32 | 2 | no | — |
| 705 | C2×C22⋊C4 | — | 32 | 2 | no | — |
| 706 | C2×C22⋊C4 | — | 32 | 4 | no | — |
| 707 | C2×C22⋊C4 | — | 32 | 2 | no | — |
| 708 | C2×C42 | — | 2 | 2 | no | — |
| 709 | C2×C42 | — | 8 | 2 | no | — |
| 710 | C2×C42 | — | 32 | 2 | no | — |
| 711 | C2×C42 | #1619 | 1 | 1 | yes | characteristic |
| 712 | C2×C42 | #1629 | 1 | 1 | yes | characteristic |
| 713 | C2×C42 | #1792 | 1 | 1 | yes | characteristic |
| 714 | Q32 | — | 2 | 2 | no | — |
| 715 | Q32 | #1333 | 1 | 4 | yes | complemented |
| 716 | SD32 | — | 2 | 4 | no | — |
| 717 | SD32 | — | 2 | 4 | no | — |
| 718 | SD32 | — | 8 | 16 | no | — |
| 719 | D16 | — | 2 | 2 | no | — |
| 720 | D16 | — | 8 | 16 | no | — |
| 721 | D16 | — | 8 | 4 | no | — |
| 722 | D16 | — | 8 | 4 | no | — |
| 723 | D16 | — | 8 | 4 | no | — |
| 724 | D16 | — | 8 | 4 | no | — |
| 725 | D16 | — | 16 | 4 | no | — |
| 726 | D16 | — | 16 | 4 | no | — |
| 727 | D16 | #1333 | 1 | 4 | yes | complemented |
| 728 | M32 | — | 4 | 4 | no | — |
| 729 | M32 | — | 8 | 2 | no | — |
| 730 | M32 | — | 8 | 4 | no | — |
| 731 | M32 | — | 8 | 4 | no | — |
| 732 | M32 | — | 8 | 2 | no | — |
| 733 | M32 | — | 8 | 2 | no | — |
| 734 | M32 | — | 16 | 4 | no | — |
| 735 | C2×C16 | — | 2 | 2 | no | — |
| 736 | C2×C16 | — | 2 | 2 | no | — |
| 737 | C2×C16 | — | 2 | 2 | no | — |
| 738 | C2×C16 | — | 2 | 2 | no | — |
| 739 | C2×C16 | — | 2 | 2 | no | — |
| 740 | C2×C16 | — | 2 | 2 | no | — |
| 741 | C2×C16 | — | 2 | 2 | no | — |
| 742 | C2×C16 | — | 2 | 2 | no | — |
| 743 | C2×C16 | — | 8 | 2 | no | — |
| 744 | C2×C16 | — | 8 | 4 | no | — |
| 745 | C2×C16 | — | 8 | 4 | no | — |
| 746 | C2×C16 | — | 8 | 4 | no | — |
| 747 | C2×C16 | — | 8 | 2 | no | — |
| 748 | C2×C16 | — | 16 | 4 | no | — |
| 749 | C2×C16 | — | 16 | 4 | no | — |
| 750 | C2×C16 | C2×D4⋊C8 | 1 | 2 | yes | — |
| 751 | C2×C16 | #1478 | 1 | 2 | yes | — |
| 752 | C2×C16 | #1486 | 1 | 2 | yes | — |
| 753 | C2×C16 | #1490 | 1 | 2 | yes | — |
| 754 | C2×C16 | C2×#360 | 1 | 2 | yes | — |
| 755 | C2×C16 | #2145 | 1 | 2 | yes | — |
| 756 | C2×C16 | C2×#361 | 1 | 2 | yes | — |
| 757 | C2×C16 | C2×#361 | 1 | 2 | yes | — |
| 758 | #108 | — | 2 | 4 | no | — |
| 759 | #108 | — | 4 | 2 | no | — |
| 760 | #108 | — | 4 | 2 | no | — |
| 761 | #108 | — | 4 | 2 | no | — |
| 762 | #107 | — | 2 | 4 | no | — |
| 763 | #107 | — | 8 | 4 | no | — |
| 764 | #107 | — | 8 | 4 | no | — |
| 765 | #107 | — | 16 | 4 | no | — |
| 766 | #107 | — | 16 | 8 | no | — |
| 767 | #106 | — | 4 | 2 | no | — |
| 768 | #106 | — | 16 | 4 | no | — |
| 769 | C4⋊C8 | — | 32 | 2 | no | — |
| 770 | C4⋊C8 | — | 32 | 4 | no | — |
| 771 | #104 | — | 4 | 4 | no | — |
| 772 | #104 | — | 4 | 4 | no | — |
| 773 | #104 | — | 8 | 4 | no | — |
| 774 | #103 | — | 4 | 4 | no | — |
| 775 | #103 | — | 16 | 4 | no | — |
| 776 | #102 | — | 4 | 4 | no | — |
| 777 | #102 | — | 16 | 4 | no | — |
| 778 | #102 | — | 16 | 4 | no | — |
| 779 | #102 | — | 16 | 4 | no | — |
| 780 | #102 | — | 16 | 4 | no | — |
| 781 | #102 | — | 16 | 4 | no | — |
| 782 | #102 | — | 32 | 8 | no | — |
| 783 | #100 | — | 8 | 8 | no | — |
| 784 | #100 | — | 32 | 2 | no | — |
| 785 | #97 | — | 8 | 2 | no | — |
| 786 | #97 | — | 8 | 2 | no | — |
| 787 | #97 | — | 8 | 2 | no | — |
| 788 | C4×C8 | — | 2 | 2 | no | — |
| 789 | C4×C8 | — | 2 | 2 | no | — |
| 790 | C4×C8 | — | 2 | 2 | no | — |
| 791 | C4×C8 | — | 2 | 2 | no | — |
| 792 | C4×C8 | — | 2 | 2 | no | — |
| 793 | C4×C8 | — | 2 | 1 | no | — |
| 794 | C4×C8 | — | 2 | 1 | no | — |
| 795 | C4×C8 | — | 4 | 1 | no | — |
| 796 | C4×C8 | — | 4 | 1 | no | — |
| 797 | C4×C8 | — | 4 | 8 | no | — |
| 798 | C4×C8 | — | 4 | 1 | no | — |
| 799 | C4×C8 | — | 8 | 2 | no | — |
| 800 | C4×C8 | — | 8 | 2 | no | — |
| 801 | C4×C8 | — | 8 | 2 | no | — |
| 802 | C4×C8 | #1779 | 1 | 1 | yes | characteristic |
| 803 | C4×C8 | #1789 | 1 | 2 | yes | — |
| 804 | C4×C8 | #1794 | 1 | 1 | yes | characteristic |
| 805 | C32 | — | 16 | 4 | no | — |
| 806 | C24 | — | 16 | 2 | no | — |
| 807 | C24 | — | 32 | 2 | no | — |
| 808 | #41 | — | 4 | 4 | no | — |
| 809 | #41 | — | 4 | 4 | no | — |
| 810 | #41 | — | 8 | 2 | no | — |
| 811 | #41 | — | 8 | 2 | no | — |
| 812 | #41 | — | 16 | 16 | no | — |
| 813 | #41 | — | 32 | 8 | no | — |
| 814 | C2×Q8 | — | 4 | 2 | no | — |
| 815 | C2×D4 | — | 4 | 2 | no | — |
| 816 | C2×D4 | — | 8 | 2 | no | — |
| 817 | C2×D4 | — | 8 | 4 | no | — |
| 818 | C2×D4 | — | 16 | 4 | no | — |
| 819 | C2×D4 | — | 16 | 16 | no | — |
| 820 | C2×D4 | — | 16 | 4 | no | — |
| 821 | C2×D4 | — | 16 | 4 | no | — |
| 822 | C2×D4 | — | 16 | 2 | no | — |
| 823 | C2×D4 | — | 32 | 4 | no | — |
| 824 | C2×D4 | — | 32 | 4 | no | — |
| 825 | C2×D4 | — | 32 | 2 | no | — |
| 826 | C2×D4 | — | 32 | 8 | no | — |
| 827 | C2×D4 | — | 32 | 4 | no | — |
| 828 | C2×D4 | — | 32 | 8 | no | — |
| 829 | C2×D4 | — | 32 | 8 | no | — |
| 830 | C22×C4 | — | 2 | 1 | no | — |
| 831 | C22×C4 | — | 2 | 1 | no | — |
| 832 | C22×C4 | — | 8 | 4 | no | — |
| 833 | C22×C4 | — | 8 | 2 | no | — |
| 834 | C22×C4 | — | 16 | 2 | no | — |
| 835 | C22×C4 | — | 32 | 2 | no | — |
| 836 | C22×C4 | — | 32 | 2 | no | — |
| 837 | C22×C4 | — | 32 | 2 | no | — |
| 838 | C22×C4 | — | 32 | 2 | no | — |
| 839 | C22×C4 | — | 32 | 2 | no | — |
| 840 | C22×C4 | — | 32 | 4 | no | — |
| 841 | C22×C4 | — | 64 | 2 | no | — |
| 842 | C22×C4 | — | 64 | 2 | no | — |
| 843 | C22×C4 | — | 128 | 2 | no | — |
| 844 | C22×C4 | — | 128 | 2 | no | — |
| 845 | C22×C4 | #8443 | 1 | 1 | yes | characteristic |
| 846 | C22×C4 | #12366 | 1 | 2 | yes | — |
| 847 | Q16 | — | 2 | 4 | no | — |
| 848 | Q16 | — | 4 | 2 | no | — |
| 849 | SD16 | — | 4 | 4 | no | — |
| 850 | SD16 | — | 4 | 4 | no | — |
| 851 | SD16 | — | 16 | 16 | no | — |
| 852 | D8 | — | 2 | 4 | no | — |
| 853 | D8 | — | 4 | 2 | no | — |
| 854 | D8 | — | 8 | 8 | no | — |
| 855 | D8 | — | 8 | 8 | no | — |
| 856 | D8 | — | 16 | 16 | no | — |
| 857 | D8 | — | 16 | 16 | no | — |
| 858 | D8 | — | 16 | 4 | no | — |
| 859 | D8 | — | 16 | 4 | no | — |
| 860 | D8 | — | 32 | 8 | no | — |
| 861 | M16 | — | 4 | 4 | no | — |
| 862 | M16 | — | 8 | 2 | no | — |
| 863 | M16 | — | 8 | 4 | no | — |
| 864 | M16 | — | 8 | 4 | no | — |
| 865 | M16 | — | 8 | 2 | no | — |
| 866 | M16 | — | 8 | 2 | no | — |
| 867 | M16 | — | 16 | 4 | no | — |
| 868 | C2×C8 | — | 2 | 2 | no | — |
| 869 | C2×C8 | — | 2 | 2 | no | — |
| 870 | C2×C8 | — | 2 | 8 | no | — |
| 871 | C2×C8 | — | 2 | 2 | no | — |
| 872 | C2×C8 | — | 2 | 2 | no | — |
| 873 | C2×C8 | — | 2 | 2 | no | — |
| 874 | C2×C8 | — | 4 | 4 | no | — |
| 875 | C2×C8 | — | 4 | 2 | no | — |
| 876 | C2×C8 | — | 8 | 2 | no | — |
| 877 | C2×C8 | — | 8 | 4 | no | — |
| 878 | C2×C8 | — | 8 | 4 | no | — |
| 879 | C2×C8 | — | 8 | 2 | no | — |
| 880 | C2×C8 | — | 16 | 4 | no | — |
| 881 | C2×C8 | — | 64 | 2 | no | — |
| 882 | C2×C8 | — | 64 | 1 | no | — |
| 883 | C2×C8 | #8310 | 1 | 2 | yes | — |
| 884 | C2×C8 | #8436 | 1 | 2 | yes | — |
| 885 | C2×C8 | #12735 | 1 | 2 | yes | — |
| 886 | C2×C8 | #12736 | 1 | 2 | yes | — |
| 887 | C2×C8 | #12750 | 1 | 2 | yes | — |
| 888 | C2×C8 | #12752 | 1 | 2 | yes | — |
| 889 | C4⋊C4 | — | 4 | 4 | no | — |
| 890 | C4⋊C4 | — | 8 | 4 | no | — |
| 891 | C4⋊C4 | — | 16 | 4 | no | — |
| 892 | C4⋊C4 | — | 32 | 4 | no | — |
| 893 | C4⋊C4 | — | 32 | 4 | no | — |
| 894 | C22⋊C4 | — | 8 | 4 | no | — |
| 895 | C22⋊C4 | — | 8 | 2 | no | — |
| 896 | C22⋊C4 | — | 32 | 4 | no | — |
| 897 | C22⋊C4 | — | 32 | 4 | no | — |
| 898 | C22⋊C4 | — | 32 | 4 | no | — |
| 899 | C22⋊C4 | — | 64 | 4 | no | — |
| 900 | C42 | — | 2 | 2 | no | — |
| 901 | C42 | — | 2 | 1 | no | — |
| 902 | C42 | — | 2 | 2 | no | — |
| 903 | C42 | — | 4 | 4 | no | — |
| 904 | C42 | — | 8 | 4 | no | — |
| 905 | C42 | — | 8 | 2 | no | — |
| 906 | C42 | — | 32 | 4 | no | — |
| 907 | C42 | #8318 | 1 | 1 | yes | characteristic |
| 908 | C42 | #8440 | 1 | 1 | yes | characteristic |
| 909 | C16 | — | 2 | 2 | no | — |
| 910 | C16 | — | 2 | 2 | no | — |
| 911 | C16 | — | 4 | 2 | no | — |
| 912 | C16 | — | 4 | 2 | no | — |
| 913 | C16 | — | 8 | 4 | no | — |
| 914 | C16 | — | 16 | 4 | no | — |
| 915 | C16 | — | 16 | 2 | no | — |
| 916 | C16 | C2×#1333 | 1 | 2 | yes | — |
| 917 | C16 | #11599 | 1 | 2 | yes | — |
| 918 | C16 | #11663 | 1 | 2 | yes | — |
| 919 | C16 | #11667 | 1 | 2 | yes | — |
| 920 | C23 | — | 8 | 2 | no | — |
| 921 | C23 | — | 16 | 4 | no | — |
| 922 | C23 | — | 32 | 8 | no | — |
| 923 | C23 | — | 32 | 2 | no | — |
| 924 | C23 | — | 32 | 2 | no | — |
| 925 | C23 | — | 64 | 2 | no | — |
| 926 | C23 | — | 64 | 2 | no | — |
| 927 | C23 | — | 128 | 2 | no | — |
| 928 | C23 | — | 128 | 2 | no | — |
| 929 | C23 | #131837 | 1 | 1 | yes | characteristic |
| 930 | Q8 | — | 4 | 4 | no | — |
| 931 | Q8 | — | 8 | 2 | no | — |
| 932 | D4 | — | 4 | 4 | no | — |
| 933 | D4 | — | 8 | 4 | no | — |
| 934 | D4 | — | 8 | 4 | no | — |
| 935 | D4 | — | 8 | 2 | no | — |
| 936 | D4 | — | 16 | 8 | no | — |
| 937 | D4 | — | 32 | 8 | no | — |
| 938 | D4 | — | 32 | 16 | no | — |
| 939 | D4 | — | 32 | 4 | no | — |
| 940 | D4 | — | 64 | 4 | no | — |
| 941 | C2×C4 | — | 2 | 4 | no | — |
| 942 | C2×C4 | — | 2 | 1 | no | — |
| 943 | C2×C4 | — | 2 | 1 | no | — |
| 944 | C2×C4 | — | 2 | 2 | no | — |
| 945 | C2×C4 | — | 4 | 2 | no | — |
| 946 | C2×C4 | — | 4 | 2 | no | — |
| 947 | C2×C4 | — | 4 | 1 | no | — |
| 948 | C2×C4 | — | 8 | 2 | no | — |
| 949 | C2×C4 | — | 8 | 4 | no | — |
| 950 | C2×C4 | — | 8 | 4 | no | — |
| 951 | C2×C4 | — | 8 | 4 | no | — |
| 952 | C2×C4 | — | 32 | 4 | no | — |
| 953 | C2×C4 | — | 32 | 8 | no | — |
| 954 | C2×C4 | — | 32 | 2 | no | — |
| 955 | C2×C4 | — | 64 | 2 | no | — |
| 956 | C2×C4 | — | 64 | 2 | no | — |
| 957 | C2×C4 | — | 64 | 2 | no | — |
| 958 | C2×C4 | — | 128 | 2 | no | — |
| 959 | C2×C4 | — | 128 | 2 | no | — |
| 960 | C2×C4 | — | 128 | 2 | no | — |
| 961 | C2×C4 | — | 128 | 4 | no | — |
| 962 | C2×C4 | #97658 | 1 | 1 | yes | characteristic |
| 963 | C2×C4 | #131839 | 1 | 1 | yes | characteristic |
| 964 | C2×C4 | #131865 | 1 | 2 | yes | — |
| 965 | C2×C4 | #131866 | 1 | 2 | yes | — |
| 966 | C8 | — | 2 | 4 | no | — |
| 967 | C8 | — | 2 | 4 | no | — |
| 968 | C8 | — | 4 | 2 | no | — |
| 969 | C8 | — | 8 | 2 | no | — |
| 970 | C8 | — | 8 | 4 | no | — |
| 971 | C8 | — | 16 | 2 | no | — |
| 972 | C8 | — | 128 | 1 | no | — |
| 973 | C8 | #129503 | 1 | 2 | yes | — |
| 974 | C8 | #129522 | 1 | 2 | yes | — |
| 975 | C8 | #131812 | 1 | 2 | yes | — |
| 976 | C8 | #131816 | 1 | 2 | yes | — |
| 977 | C22 | — | 2 | 2 | no | — |
| 978 | C22 | — | 8 | 4 | no | — |
| 979 | C22 | — | 16 | 4 | no | — |
| 980 | C22 | — | 32 | 4 | no | — |
| 981 | C22 | — | 64 | 4 | no | — |
| 982 | C22 | — | 64 | 2 | no | — |
| 983 | C22 | — | 64 | 2 | no | — |
| 984 | C22 | — | 128 | 2 | no | — |
| 985 | C22 | — | 128 | 8 | no | — |
| 986 | C22 | #72214663 | 1 | 1 | yes | characteristic |
| 987 | C22 | #72216470 | 1 | 1 | yes | characteristic |
| 988 | C22 | #72225231 | 1 | 1 | yes | characteristic |
| 989 | C4 | — | 2 | 2 | no | — |
| 990 | C4 | — | 2 | 2 | no | — |
| 991 | C4 | — | 4 | 2 | no | — |
| 992 | C4 | — | 8 | 1 | no | — |
| 993 | C4 | — | 8 | 4 | no | — |
| 994 | C4 | — | 16 | 4 | no | — |
| 995 | C4 | — | 64 | 2 | no | — |
| 996 | C4 | #72225229 | 1 | 2 | yes | — |
| 997 | C4 | #72225233 | 1 | 2 | yes | — |
| 998 | C2 | — | 2 | 1 | no | — |
| 999 | C2 | — | 2 | 1 | no | — |
| 1000 | C2 | — | 16 | 4 | no | — |
| 1001 | C2 | — | 64 | 4 | no | — |
| 1002 | C2 | #72214669 | 1 | 2 | yes | — |
| 1003 | C2 | #72225238 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | #72214663 |
| commutator | C8×C16 | C22×C8 |
| Frattini, cosocle | C8×#346 | C23 |
| prime radical | C2×#492532 | C4 |
| LCS | G ▷ C8×C16 ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C22×C4 ◁ C42×C8 ◁ C8×#346 ◁ G | |
| LECS | G ▷ C8×#346 ▷ C2×C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72216569 | C2 | semidirect |
| 3. #72216530 | C2 | semidirect |
| 16. #72216289 | C2 | semidirect |
| 19. #72216247 | C22 | semidirect |
| 21. #72216188 | C2 | semidirect |
| 22. #72216178 | C22 | semidirect |
| 24. #72216168 | C22 | semidirect |
| 45. #492532 | C8 | semidirect |
| 715. Q32 | #1333 | semidirect |
| 727. D16 | #1333 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72216569 | 2 |
| #72216530 | 2 |
| #72216420 | 2 |
| #72216289 | 2 |
| #72216188 | 2 |