Finite Group DatabasebetaFinite Group DatabasebetaOrder 4096.
1338 conjugacy classes of subgroups.
The subgroup lattice has 1028 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72227235 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72227224 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72227222 | — | 2 | 2 | no | — |
| 4 | #72225525 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72225519 | — | 2 | 1 | no | — |
| 6 | #72225518 | — | 2 | 1 | no | — |
| 7 | #72225517 | — | 2 | 2 | no | — |
| 8 | #72225516 | — | 2 | 1 | no | — |
| 9 | #72225380 | — | 2 | 1 | no | — |
| 10 | #72225345 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #72225344 | C4 | 1 | 1 | yes | characteristic |
| 12 | #72225343 | — | 2 | 1 | no | — |
| 13 | #72225342 | C4 | 1 | 1 | yes | characteristic |
| 14 | #72225341 | C4 | 1 | 1 | yes | characteristic |
| 15 | #72225340 | — | 2 | 1 | no | — |
| 16 | #72225339 | C4 | 1 | 1 | yes | characteristic |
| 17 | #72225338 | — | 2 | 1 | no | — |
| 18 | #72225337 | — | 2 | 1 | no | — |
| 19 | #72225160 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #72225158 | — | 2 | 1 | no | — |
| 21 | #72225158 | — | 2 | 1 | no | — |
| 22 | #72225138 | C22 | 1 | 1 | yes | characteristic |
| 23 | #72216558 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 24 | #72216289 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 25 | #72216280 | — | 2 | 1 | no | — |
| 26 | #72216279 | — | 2 | 1 | no | — |
| 27 | #72216249 | C22 | 1 | 1 | yes | characteristic |
| 28 | #72216247 | C22 | 1 | 1 | yes | characteristic |
| 29 | #72216247 | C22 | 1 | 1 | yes | characteristic |
| 30 | #72216243 | C22 | 1 | 1 | yes | characteristic |
| 31 | #72216211 | C22 | 1 | 1 | yes | characteristic |
| 32 | #72216168 | C22 | 1 | 1 | yes | characteristic |
| 33 | #512928 | — | 2 | 1 | no | — |
| 34 | #512778 | — | 4 | 1 | no | — |
| 35 | #512751 | — | 2 | 2 | no | — |
| 36 | #512548 | — | 4 | 1 | no | — |
| 37 | #496112 | — | 2 | 1 | no | — |
| 38 | #496112 | — | 2 | 1 | no | — |
| 39 | #493242 | D4 | 1 | 1 | yes | characteristic |
| 40 | #493217 | — | 2 | 1 | no | — |
| 41 | #491465 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | C2×#12047 | D4 | 1 | 1 | yes | characteristic |
| 43 | C2×#12046 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | #213237 | — | 2 | 1 | no | — |
| 45 | #152996 | — | 2 | 1 | no | — |
| 46 | #152874 | — | 2 | 1 | no | — |
| 47 | #152826 | — | 4 | 1 | no | — |
| 48 | #152536 | — | 4 | 1 | no | — |
| 49 | #152283 | — | 2 | 1 | no | — |
| 50 | #151989 | — | 2 | 2 | no | — |
| 51 | #151981 | — | 2 | 1 | no | — |
| 52 | #151981 | — | 2 | 1 | no | — |
| 53 | #151981 | — | 2 | 1 | no | — |
| 54 | #151973 | — | 4 | 1 | no | — |
| 55 | #151904 | — | 4 | 2 | no | — |
| 56 | #151895 | — | 4 | 1 | no | — |
| 57 | C4×#1398 | D4 | 1 | 1 | yes | characteristic |
| 58 | C4×#1398 | D4 | 1 | 1 | yes | characteristic |
| 59 | #151636 | — | 2 | 2 | no | — |
| 60 | #151635 | C8 | 1 | 2 | yes | complemented |
| 61 | #151634 | C8 | 1 | 2 | yes | complemented |
| 62 | #151103 | — | 2 | 4 | no | — |
| 63 | #151103 | — | 2 | 4 | no | — |
| 64 | C2×#7459 | C2×C4 | 1 | 1 | yes | characteristic |
| 65 | C2×#7459 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | C2×#7456 | — | 2 | 1 | no | — |
| 67 | C2×#7456 | — | 2 | 1 | no | — |
| 68 | #150950 | — | 2 | 1 | no | — |
| 69 | #150947 | — | 2 | 1 | no | — |
| 70 | C2×#7389 | — | 4 | 1 | no | — |
| 71 | C2×#7389 | — | 4 | 1 | no | — |
| 72 | C2×#7389 | — | 4 | 2 | no | — |
| 73 | C2×#7389 | — | 4 | 1 | no | — |
| 74 | #150053 | — | 2 | 2 | no | — |
| 75 | #149502 | — | 2 | 1 | no | — |
| 76 | #149499 | — | 2 | 1 | no | — |
| 77 | #141684 | — | 2 | 1 | no | — |
| 78 | #141684 | — | 2 | 1 | no | — |
| 79 | #141671 | — | 2 | 1 | no | — |
| 80 | #135781 | C2×C4 | 1 | 1 | yes | characteristic |
| 81 | #135715 | — | 2 | 1 | no | — |
| 82 | #135715 | — | 2 | 1 | no | — |
| 83 | #129143 | D4 | 1 | 1 | yes | characteristic |
| 84 | #129142 | C2×C4 | 1 | 1 | yes | characteristic |
| 85 | #129101 | D4 | 1 | 1 | yes | characteristic |
| 86 | #128674 | — | 2 | 1 | no | — |
| 87 | #128673 | — | 2 | 1 | no | — |
| 88 | C4×#1335 | — | 2 | 1 | no | — |
| 89 | C8×#346 | C23 | 1 | 1 | yes | characteristic |
| 90 | #99295 | — | 2 | 1 | no | — |
| 91 | #94366 | — | 2 | 1 | no | — |
| 92 | #94365 | — | 2 | 1 | no | — |
| 93 | #94057 | — | 4 | 1 | no | — |
| 94 | #94042 | — | 2 | 2 | no | — |
| 95 | #94019 | — | 2 | 1 | no | — |
| 96 | #94018 | — | 2 | 1 | no | — |
| 97 | #94018 | D4 | 1 | 2 | yes | — |
| 98 | #33981 | — | 4 | 1 | no | — |
| 99 | #33974 | — | 4 | 2 | no | — |
| 100 | #33713 | — | 2 | 1 | no | — |
| 101 | #33713 | — | 2 | 1 | no | — |
| 102 | C2×#2179 | — | 4 | 1 | no | — |
| 103 | C2×#2179 | — | 4 | 1 | no | — |
| 104 | C2×#2179 | — | 4 | 1 | no | — |
| 105 | C2×#2179 | — | 4 | 1 | no | — |
| 106 | C2×#2179 | D8 | 1 | 1 | yes | characteristic |
| 107 | C2×#2178 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 108 | #33451 | SD16 | 1 | 1 | yes | characteristic |
| 109 | C2×#2170 | — | 2 | 1 | no | — |
| 110 | C2×#2170 | — | 2 | 1 | no | — |
| 111 | #33326 | — | 4 | 1 | no | — |
| 112 | #21705 | — | 4 | 1 | no | — |
| 113 | C4×#443 | — | 2 | 1 | no | — |
| 114 | #19603 | — | 2 | 1 | no | — |
| 115 | #17956 | — | 8 | 1 | no | — |
| 116 | #13693 | — | 2 | 2 | no | — |
| 117 | #13692 | — | 2 | 2 | no | — |
| 118 | #13691 | — | 4 | 2 | no | — |
| 119 | #13658 | — | 8 | 1 | no | — |
| 120 | #13658 | — | 8 | 1 | no | — |
| 121 | #13657 | — | 8 | 1 | no | — |
| 122 | #13657 | — | 8 | 1 | no | — |
| 123 | #13648 | — | 2 | 8 | no | — |
| 124 | #13647 | — | 4 | 4 | no | — |
| 125 | #13638 | — | 4 | 1 | no | — |
| 126 | C2×#1422 | — | 2 | 1 | no | — |
| 127 | C2×#1422 | — | 2 | 1 | no | — |
| 128 | C2×#1422 | — | 2 | 2 | no | — |
| 129 | C2×#1422 | — | 4 | 1 | no | — |
| 130 | #13625 | — | 4 | 1 | no | — |
| 131 | #13625 | — | 4 | 1 | no | — |
| 132 | #13622 | — | 4 | 1 | no | — |
| 133 | #13620 | — | 4 | 1 | no | — |
| 134 | #13558 | — | 4 | 2 | no | — |
| 135 | #13551 | — | 4 | 2 | no | — |
| 136 | #13551 | — | 8 | 2 | no | — |
| 137 | C2×#1398 | — | 2 | 1 | no | — |
| 138 | C2×#1398 | — | 2 | 1 | no | — |
| 139 | C2×#1398 | — | 2 | 1 | no | — |
| 140 | C2×#1398 | — | 4 | 1 | no | — |
| 141 | C2×#1398 | — | 4 | 1 | no | — |
| 142 | C2×#1398 | — | 4 | 1 | no | — |
| 143 | C2×#1398 | — | 8 | 2 | no | — |
| 144 | C2×#1398 | D8 | 1 | 2 | yes | — |
| 145 | C4×M64 | — | 2 | 1 | no | — |
| 146 | C4×M64 | — | 2 | 1 | no | — |
| 147 | #13242 | — | 4 | 1 | no | — |
| 148 | #13242 | — | 4 | 1 | no | — |
| 149 | #13242 | — | 4 | 1 | no | — |
| 150 | #13242 | — | 4 | 1 | no | — |
| 151 | #13208 | — | 4 | 1 | no | — |
| 152 | #13208 | — | 4 | 1 | no | — |
| 153 | #12909 | — | 2 | 1 | no | — |
| 154 | #12909 | — | 2 | 1 | no | — |
| 155 | #12676 | SD16 | 1 | 1 | yes | characteristic |
| 156 | #12671 | D8 | 1 | 1 | yes | characteristic |
| 157 | #12670 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 158 | #12664 | — | 2 | 1 | no | — |
| 159 | #12664 | — | 2 | 1 | no | — |
| 160 | C4×#364 | — | 2 | 1 | no | — |
| 161 | #12642 | — | 2 | 1 | no | — |
| 162 | #12641 | — | 2 | 1 | no | — |
| 163 | #12640 | — | 2 | 1 | no | — |
| 164 | #12615 | — | 4 | 1 | no | — |
| 165 | #12615 | — | 4 | 1 | no | — |
| 166 | #12604 | — | 4 | 1 | no | — |
| 167 | C4×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C4×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | #12518 | — | 2 | 1 | no | — |
| 170 | #12518 | — | 2 | 1 | no | — |
| 171 | #12517 | — | 2 | 1 | no | — |
| 172 | #12516 | C2×C8 | 1 | 1 | yes | characteristic |
| 173 | #12515 | C2×C8 | 1 | 1 | yes | characteristic |
| 174 | #12047 | — | 2 | 2 | no | — |
| 175 | #12047 | — | 2 | 2 | no | — |
| 176 | #12046 | — | 2 | 1 | no | — |
| 177 | #12046 | — | 2 | 1 | no | — |
| 178 | #12046 | C2×C8 | 1 | 2 | yes | — |
| 179 | #12046 | M16 | 1 | 2 | yes | — |
| 180 | C2×#1373 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 181 | C2×#1373 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 182 | C2×#1368 | — | 4 | 1 | no | — |
| 183 | C2×#1368 | — | 4 | 1 | no | — |
| 184 | C2×#1368 | — | 4 | 1 | no | — |
| 185 | C2×#1368 | — | 4 | 1 | no | — |
| 186 | C2×#1335 | — | 2 | 1 | no | — |
| 187 | C2×#1335 | — | 2 | 1 | no | — |
| 188 | C2×#1311 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C2×#1311 | #41 | 1 | 1 | yes | characteristic |
| 190 | C2×C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 191 | C2×C8×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | #9856 | — | 4 | 1 | no | — |
| 193 | #9844 | — | 8 | 1 | no | — |
| 194 | #8823 | — | 2 | 1 | no | — |
| 195 | #8805 | — | 4 | 1 | no | — |
| 196 | #8805 | — | 8 | 1 | no | — |
| 197 | C4×C82 | #41 | 1 | 1 | yes | characteristic |
| 198 | #7479 | — | 4 | 1 | no | — |
| 199 | #7476 | — | 4 | 1 | no | — |
| 200 | #7469 | — | 4 | 2 | no | — |
| 201 | #7468 | — | 4 | 1 | no | — |
| 202 | #7468 | — | 4 | 1 | no | — |
| 203 | #7468 | — | 4 | 1 | no | — |
| 204 | #7459 | — | 2 | 1 | no | — |
| 205 | #7459 | — | 2 | 1 | no | — |
| 206 | #7459 | — | 2 | 1 | no | — |
| 207 | #7459 | C2×C8 | 1 | 2 | yes | — |
| 208 | #7456 | — | 2 | 2 | no | — |
| 209 | #7456 | — | 2 | 2 | no | — |
| 210 | #7456 | — | 2 | 2 | no | — |
| 211 | #7456 | — | 4 | 1 | no | — |
| 212 | #7449 | — | 2 | 2 | no | — |
| 213 | #7448 | — | 2 | 2 | no | — |
| 214 | #7447 | — | 4 | 2 | no | — |
| 215 | #7389 | — | 8 | 4 | no | — |
| 216 | #7389 | — | 8 | 2 | no | — |
| 217 | #7389 | — | 8 | 2 | no | — |
| 218 | #7389 | — | 8 | 2 | no | — |
| 219 | #7382 | — | 2 | 8 | no | — |
| 220 | #7332 | — | 2 | 2 | no | — |
| 221 | #7332 | — | 2 | 2 | no | — |
| 222 | #7331 | — | 4 | 2 | no | — |
| 223 | #7179 | — | 2 | 1 | no | — |
| 224 | #7179 | — | 2 | 1 | no | — |
| 225 | #7160 | — | 2 | 1 | no | — |
| 226 | C2×#508 | — | 4 | 1 | no | — |
| 227 | C2×#508 | — | 4 | 1 | no | — |
| 228 | C2×#508 | — | 4 | 1 | no | — |
| 229 | C2×#508 | — | 4 | 1 | no | — |
| 230 | C2×#508 | #102 | 1 | 1 | yes | characteristic |
| 231 | C2×#504 | — | 4 | 1 | no | — |
| 232 | C2×#504 | — | 4 | 1 | no | — |
| 233 | #3169 | — | 8 | 1 | no | — |
| 234 | #3147 | — | 4 | 1 | no | — |
| 235 | C2×#443 | — | 2 | 1 | no | — |
| 236 | C2×#443 | — | 2 | 1 | no | — |
| 237 | C2×#443 | — | 8 | 1 | no | — |
| 238 | C2×#443 | — | 8 | 1 | no | — |
| 239 | C4×#135 | — | 2 | 1 | no | — |
| 240 | #2931 | — | 8 | 1 | no | — |
| 241 | C4×#131 | — | 4 | 1 | no | — |
| 242 | #2264 | — | 4 | 2 | no | — |
| 243 | #2264 | — | 8 | 1 | no | — |
| 244 | #2263 | — | 4 | 2 | no | — |
| 245 | #2263 | — | 8 | 1 | no | — |
| 246 | #2262 | — | 8 | 2 | no | — |
| 247 | #2258 | — | 4 | 8 | no | — |
| 248 | #2258 | — | 8 | 4 | no | — |
| 249 | C2×M64 | — | 2 | 2 | no | — |
| 250 | C2×M64 | — | 4 | 1 | no | — |
| 251 | C2×M64 | — | 4 | 1 | no | — |
| 252 | C2×M64 | — | 4 | 2 | no | — |
| 253 | C2×M64 | — | 4 | 1 | no | — |
| 254 | C2×M64 | — | 8 | 4 | no | — |
| 255 | C2×M64 | — | 8 | 1 | no | — |
| 256 | #2249 | — | 4 | 1 | no | — |
| 257 | #2249 | — | 4 | 1 | no | — |
| 258 | #2249 | — | 4 | 1 | no | — |
| 259 | #2249 | — | 4 | 1 | no | — |
| 260 | #2248 | — | 4 | 1 | no | — |
| 261 | #2248 | — | 4 | 1 | no | — |
| 262 | #2247 | — | 2 | 1 | no | — |
| 263 | #2247 | — | 2 | 1 | no | — |
| 264 | #2246 | — | 2 | 1 | no | — |
| 265 | #2246 | — | 2 | 1 | no | — |
| 266 | #2179 | — | 2 | 2 | no | — |
| 267 | #2179 | — | 4 | 1 | no | — |
| 268 | #2179 | — | 8 | 1 | no | — |
| 269 | #2179 | — | 8 | 1 | no | — |
| 270 | #2179 | — | 8 | 1 | no | — |
| 271 | #2179 | — | 8 | 1 | no | — |
| 272 | #2179 | — | 8 | 1 | no | — |
| 273 | #2179 | — | 8 | 1 | no | — |
| 274 | #2179 | — | 8 | 2 | no | — |
| 275 | #2179 | — | 8 | 1 | no | — |
| 276 | #2179 | — | 8 | 1 | no | — |
| 277 | #2179 | — | 8 | 2 | no | — |
| 278 | #2179 | — | 16 | 1 | no | — |
| 279 | #2179 | — | 16 | 1 | no | — |
| 280 | #2178 | — | 2 | 1 | no | — |
| 281 | #2178 | — | 2 | 1 | no | — |
| 282 | #2178 | C22⋊C8 | 1 | 2 | yes | — |
| 283 | #2178 | #104 | 1 | 2 | yes | — |
| 284 | #2177 | — | 2 | 1 | no | — |
| 285 | #2176 | — | 2 | 1 | no | — |
| 286 | #2175 | — | 4 | 1 | no | — |
| 287 | #2170 | — | 2 | 4 | no | — |
| 288 | #2170 | — | 2 | 2 | no | — |
| 289 | #2170 | — | 2 | 2 | no | — |
| 290 | #2170 | — | 4 | 2 | no | — |
| 291 | #2170 | — | 4 | 1 | no | — |
| 292 | #2170 | — | 4 | 1 | no | — |
| 293 | C2×#368 | — | 4 | 1 | no | — |
| 294 | C2×#368 | — | 4 | 1 | no | — |
| 295 | C2×#368 | — | 4 | 1 | no | — |
| 296 | C2×#368 | — | 4 | 1 | no | — |
| 297 | C2×#368 | #102 | 1 | 1 | yes | characteristic |
| 298 | C2×#368 | #102 | 1 | 1 | yes | characteristic |
| 299 | #2158 | #102 | 1 | 1 | yes | characteristic |
| 300 | C2×#364 | — | 2 | 1 | no | — |
| 301 | C2×#364 | — | 2 | 1 | no | — |
| 302 | C2×#359 | — | 2 | 1 | no | — |
| 303 | C2×#359 | — | 2 | 1 | no | — |
| 304 | C2×#359 | — | 8 | 1 | no | — |
| 305 | C2×#359 | — | 8 | 1 | no | — |
| 306 | C2×#359 | — | 8 | 1 | no | — |
| 307 | C2×#359 | — | 8 | 1 | no | — |
| 308 | #2138 | — | 2 | 1 | no | — |
| 309 | C2×#350 | — | 4 | 1 | no | — |
| 310 | C2×#350 | — | 4 | 1 | no | — |
| 311 | #2108 | — | 4 | 1 | no | — |
| 312 | #2108 | — | 4 | 1 | no | — |
| 313 | #2108 | — | 8 | 1 | no | — |
| 314 | #2108 | — | 8 | 1 | no | — |
| 315 | C4×M32 | — | 4 | 1 | no | — |
| 316 | C4×M32 | — | 8 | 1 | no | — |
| 317 | C2×#346 | — | 8 | 1 | no | — |
| 318 | C2×#346 | C2×D8 | 1 | 1 | yes | characteristic |
| 319 | C2×#346 | C2×D8 | 1 | 1 | yes | characteristic |
| 320 | C2×#346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 321 | C2×#346 | #135 | 1 | 1 | yes | characteristic |
| 322 | C2×#346 | #135 | 1 | 1 | yes | characteristic |
| 323 | C2×#346 | #135 | 1 | 1 | yes | characteristic |
| 324 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 325 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 326 | C2×C4×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 327 | C2×C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 328 | C2×C4×C16 | #120 | 1 | 1 | yes | characteristic |
| 329 | C2×C4×C16 | #121 | 1 | 1 | yes | characteristic |
| 330 | #1974 | — | 8 | 1 | no | — |
| 331 | #1974 | — | 8 | 1 | no | — |
| 332 | #1962 | — | 8 | 1 | no | — |
| 333 | #1848 | — | 4 | 1 | no | — |
| 334 | #1842 | — | 8 | 1 | no | — |
| 335 | C4×#108 | — | 2 | 1 | no | — |
| 336 | #1772 | — | 2 | 1 | no | — |
| 337 | #1772 | — | 2 | 1 | no | — |
| 338 | #1764 | — | 4 | 1 | no | — |
| 339 | #1764 | — | 4 | 1 | no | — |
| 340 | C4×#104 | — | 4 | 1 | no | — |
| 341 | C42×C8 | — | 2 | 1 | no | — |
| 342 | C42×C8 | #121 | 1 | 1 | yes | characteristic |
| 343 | #1713 | — | 2 | 1 | no | — |
| 344 | #1712 | — | 2 | 1 | no | — |
| 345 | #1709 | — | 4 | 1 | no | — |
| 346 | #1706 | — | 8 | 1 | no | — |
| 347 | #1589 | — | 16 | 2 | no | — |
| 348 | C8×D8 | — | 16 | 2 | no | — |
| 349 | #1567 | — | 8 | 1 | no | — |
| 350 | C2×#334 | — | 8 | 1 | no | — |
| 351 | C2×#334 | — | 8 | 1 | no | — |
| 352 | C2×#334 | — | 16 | 2 | no | — |
| 353 | #1492 | — | 8 | 2 | no | — |
| 354 | C2×C82 | — | 2 | 1 | no | — |
| 355 | C2×C82 | C4×D4 | 1 | 1 | yes | characteristic |
| 356 | C2×C82 | #123 | 1 | 1 | yes | characteristic |
| 357 | #1426 | — | 8 | 1 | no | — |
| 358 | #1426 | — | 8 | 1 | no | — |
| 359 | #1422 | — | 2 | 4 | no | — |
| 360 | #1422 | — | 2 | 2 | no | — |
| 361 | #1422 | — | 4 | 2 | no | — |
| 362 | #1422 | — | 4 | 2 | no | — |
| 363 | #1422 | — | 4 | 1 | no | — |
| 364 | #1422 | — | 4 | 1 | no | — |
| 365 | #1422 | — | 4 | 1 | no | — |
| 366 | #1422 | — | 8 | 1 | no | — |
| 367 | #1420 | — | 4 | 2 | no | — |
| 368 | #1420 | — | 8 | 1 | no | — |
| 369 | #1419 | — | 4 | 2 | no | — |
| 370 | #1419 | — | 8 | 1 | no | — |
| 371 | #1418 | — | 8 | 1 | no | — |
| 372 | #1418 | — | 8 | 1 | no | — |
| 373 | #1417 | — | 8 | 2 | no | — |
| 374 | #1401 | — | 4 | 8 | no | — |
| 375 | #1398 | — | 4 | 2 | no | — |
| 376 | #1398 | — | 4 | 1 | no | — |
| 377 | #1398 | — | 4 | 1 | no | — |
| 378 | #1398 | — | 4 | 1 | no | — |
| 379 | #1398 | — | 4 | 1 | no | — |
| 380 | #1398 | — | 8 | 1 | no | — |
| 381 | #1398 | — | 8 | 1 | no | — |
| 382 | #1398 | — | 8 | 1 | no | — |
| 383 | #1398 | — | 8 | 1 | no | — |
| 384 | #1398 | — | 8 | 1 | no | — |
| 385 | #1398 | — | 8 | 1 | no | — |
| 386 | #1398 | — | 8 | 1 | no | — |
| 387 | #1398 | — | 8 | 4 | no | — |
| 388 | #1397 | — | 2 | 2 | no | — |
| 389 | #1397 | — | 2 | 2 | no | — |
| 390 | C4×C32 | — | 2 | 2 | no | — |
| 391 | C4×C32 | — | 4 | 1 | no | — |
| 392 | #1382 | — | 2 | 1 | no | — |
| 393 | #1382 | — | 2 | 1 | no | — |
| 394 | #1381 | — | 2 | 1 | no | — |
| 395 | #1379 | — | 4 | 1 | no | — |
| 396 | #1379 | — | 4 | 1 | no | — |
| 397 | #1376 | — | 4 | 1 | no | — |
| 398 | #1373 | — | 2 | 1 | no | — |
| 399 | #1373 | — | 2 | 1 | no | — |
| 400 | #1373 | C22⋊C8 | 1 | 2 | yes | — |
| 401 | #1373 | #104 | 1 | 2 | yes | — |
| 402 | #1368 | — | 8 | 1 | no | — |
| 403 | #1368 | — | 8 | 1 | no | — |
| 404 | #1368 | — | 8 | 1 | no | — |
| 405 | #1368 | — | 8 | 2 | no | — |
| 406 | #1368 | — | 8 | 1 | no | — |
| 407 | #1368 | — | 16 | 1 | no | — |
| 408 | #1335 | — | 2 | 4 | no | — |
| 409 | #1335 | — | 2 | 2 | no | — |
| 410 | #1335 | — | 2 | 2 | no | — |
| 411 | #1311 | — | 2 | 1 | no | — |
| 412 | #1311 | — | 2 | 1 | no | — |
| 413 | #1311 | — | 2 | 1 | no | — |
| 414 | #1311 | — | 2 | 1 | no | — |
| 415 | C8×C16 | — | 4 | 1 | no | — |
| 416 | C8×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 417 | C8×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 418 | C8×C16 | #131 | 1 | 1 | yes | characteristic |
| 419 | C8×C16 | #131 | 1 | 1 | yes | characteristic |
| 420 | C2×#135 | — | 2 | 1 | no | — |
| 421 | C2×#135 | — | 8 | 1 | no | — |
| 422 | C2×#135 | — | 8 | 1 | no | — |
| 423 | C2×#131 | — | 4 | 1 | no | — |
| 424 | C2×#131 | — | 4 | 1 | no | — |
| 425 | C2×#131 | — | 16 | 1 | no | — |
| 426 | #532 | — | 8 | 1 | no | — |
| 427 | C4×#41 | — | 4 | 1 | no | — |
| 428 | #508 | — | 2 | 1 | no | — |
| 429 | #508 | — | 2 | 1 | no | — |
| 430 | #508 | — | 8 | 2 | no | — |
| 431 | #508 | — | 8 | 2 | no | — |
| 432 | #508 | — | 8 | 1 | no | — |
| 433 | #508 | — | 8 | 1 | no | — |
| 434 | #508 | — | 8 | 1 | no | — |
| 435 | #508 | — | 8 | 1 | no | — |
| 436 | #508 | — | 8 | 1 | no | — |
| 437 | #508 | — | 8 | 1 | no | — |
| 438 | #508 | — | 8 | 1 | no | — |
| 439 | #508 | — | 8 | 1 | no | — |
| 440 | #508 | — | 16 | 1 | no | — |
| 441 | #508 | — | 16 | 1 | no | — |
| 442 | #508 | D4⋊C8 | 1 | 2 | yes | — |
| 443 | #508 | #360 | 1 | 2 | yes | — |
| 444 | C2×Q32 | — | 4 | 1 | no | — |
| 445 | C2×Q32 | — | 4 | 1 | no | — |
| 446 | C2×Q32 | — | 4 | 1 | no | — |
| 447 | C2×Q32 | — | 4 | 1 | no | — |
| 448 | C2×Q32 | #361 | 1 | 1 | yes | characteristic |
| 449 | C2×SD32 | — | 2 | 1 | no | — |
| 450 | C2×SD32 | — | 8 | 1 | no | — |
| 451 | C2×SD32 | — | 8 | 1 | no | — |
| 452 | C2×SD32 | — | 8 | 1 | no | — |
| 453 | C2×SD32 | — | 8 | 1 | no | — |
| 454 | C2×D16 | — | 4 | 1 | no | — |
| 455 | C2×D16 | — | 4 | 1 | no | — |
| 456 | C2×D16 | — | 4 | 1 | no | — |
| 457 | C2×D16 | — | 4 | 1 | no | — |
| 458 | C2×D16 | #361 | 1 | 1 | yes | characteristic |
| 459 | #504 | — | 4 | 4 | no | — |
| 460 | #504 | — | 4 | 2 | no | — |
| 461 | #504 | — | 4 | 2 | no | — |
| 462 | #504 | — | 8 | 1 | no | — |
| 463 | #504 | — | 8 | 1 | no | — |
| 464 | #504 | — | 8 | 2 | no | — |
| 465 | C2×M32 | — | 4 | 1 | no | — |
| 466 | C2×M32 | — | 4 | 1 | no | — |
| 467 | C2×M32 | — | 8 | 1 | no | — |
| 468 | C2×M32 | — | 8 | 1 | no | — |
| 469 | C22×C16 | — | 8 | 1 | no | — |
| 470 | C22×C16 | — | 8 | 1 | no | — |
| 471 | C22×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 472 | C22×C16 | #416 | 1 | 1 | yes | characteristic |
| 473 | C22×C16 | C4×D8 | 1 | 1 | yes | characteristic |
| 474 | C22×C16 | #442 | 1 | 1 | yes | characteristic |
| 475 | C22×C16 | #447 | 1 | 1 | yes | characteristic |
| 476 | C22×C16 | #449 | 1 | 1 | yes | characteristic |
| 477 | C22×C16 | #465 | 1 | 1 | yes | characteristic |
| 478 | C22×C16 | #466 | 1 | 1 | yes | characteristic |
| 479 | #500 | — | 8 | 1 | no | — |
| 480 | #495 | — | 8 | 1 | no | — |
| 481 | #495 | — | 8 | 1 | no | — |
| 482 | #494 | — | 4 | 1 | no | — |
| 483 | #493 | — | 4 | 1 | no | — |
| 484 | #493 | — | 8 | 1 | no | — |
| 485 | #492 | — | 8 | 1 | no | — |
| 486 | #486 | — | 8 | 2 | no | — |
| 487 | #466 | — | 16 | 2 | no | — |
| 488 | #443 | — | 2 | 2 | no | — |
| 489 | #443 | — | 2 | 2 | no | — |
| 490 | #443 | — | 4 | 2 | no | — |
| 491 | #443 | — | 4 | 1 | no | — |
| 492 | #443 | — | 4 | 1 | no | — |
| 493 | #443 | — | 8 | 1 | no | — |
| 494 | #443 | — | 16 | 1 | no | — |
| 495 | #443 | — | 16 | 1 | no | — |
| 496 | #443 | — | 16 | 1 | no | — |
| 497 | #443 | — | 16 | 1 | no | — |
| 498 | #443 | — | 16 | 1 | no | — |
| 499 | #443 | — | 16 | 1 | no | — |
| 500 | #443 | — | 16 | 1 | no | — |
| 501 | #443 | — | 16 | 1 | no | — |
| 502 | C4×Q16 | — | 4 | 1 | no | — |
| 503 | C4×SD16 | — | 8 | 1 | no | — |
| 504 | C4×D8 | — | 4 | 1 | no | — |
| 505 | C4×D8 | — | 16 | 2 | no | — |
| 506 | #436 | — | 16 | 2 | no | — |
| 507 | C8×D4 | — | 16 | 2 | no | — |
| 508 | C2×#108 | — | 2 | 1 | no | — |
| 509 | C2×#108 | — | 2 | 1 | no | — |
| 510 | C2×#108 | — | 8 | 1 | no | — |
| 511 | C2×#108 | — | 8 | 1 | no | — |
| 512 | #427 | — | 2 | 1 | no | — |
| 513 | #423 | — | 8 | 1 | no | — |
| 514 | C2×C4⋊C8 | — | 16 | 2 | no | — |
| 515 | C2×C4⋊C8 | — | 16 | 1 | no | — |
| 516 | C2×#104 | — | 4 | 1 | no | — |
| 517 | C2×#104 | — | 4 | 1 | no | — |
| 518 | C2×#104 | — | 16 | 1 | no | — |
| 519 | C2×#104 | — | 16 | 1 | no | — |
| 520 | #416 | — | 4 | 1 | no | — |
| 521 | #408 | — | 16 | 1 | no | — |
| 522 | #405 | — | 4 | 1 | no | — |
| 523 | #405 | — | 4 | 1 | no | — |
| 524 | #405 | — | 8 | 1 | no | — |
| 525 | #405 | — | 8 | 1 | no | — |
| 526 | C4×M16 | — | 4 | 1 | no | — |
| 527 | C4×M16 | — | 8 | 1 | no | — |
| 528 | C2×C4×C8 | — | 2 | 1 | no | — |
| 529 | C2×C4×C8 | — | 2 | 1 | no | — |
| 530 | C2×C4×C8 | — | 4 | 2 | no | — |
| 531 | C2×C4×C8 | — | 8 | 1 | no | — |
| 532 | C2×C4×C8 | #386 | 1 | 1 | yes | characteristic |
| 533 | C2×C4×C8 | #459 | 1 | 1 | yes | characteristic |
| 534 | C2×C4×C8 | #463 | 1 | 1 | yes | characteristic |
| 535 | C2×C4×C8 | #465 | 1 | 1 | yes | characteristic |
| 536 | C2×C4×C8 | #466 | 1 | 1 | yes | characteristic |
| 537 | C2×C4×C8 | #471 | 1 | 1 | yes | characteristic |
| 538 | C43 | #472 | 1 | 1 | yes | characteristic |
| 539 | Q64 | — | 8 | 2 | no | — |
| 540 | SD64 | — | 8 | 2 | no | — |
| 541 | SD64 | — | 8 | 2 | no | — |
| 542 | D32 | — | 8 | 2 | no | — |
| 543 | M64 | — | 4 | 2 | no | — |
| 544 | M64 | — | 4 | 2 | no | — |
| 545 | M64 | — | 4 | 4 | no | — |
| 546 | M64 | — | 4 | 2 | no | — |
| 547 | M64 | — | 8 | 8 | no | — |
| 548 | M64 | — | 8 | 1 | no | — |
| 549 | M64 | — | 8 | 2 | no | — |
| 550 | M64 | — | 8 | 1 | no | — |
| 551 | M64 | — | 8 | 1 | no | — |
| 552 | M64 | — | 8 | 2 | no | — |
| 553 | M64 | — | 8 | 1 | no | — |
| 554 | M64 | — | 8 | 1 | no | — |
| 555 | M64 | — | 16 | 1 | no | — |
| 556 | C2×C32 | — | 2 | 4 | no | — |
| 557 | C2×C32 | — | 4 | 2 | no | — |
| 558 | C2×C32 | — | 8 | 8 | no | — |
| 559 | C2×C32 | — | 8 | 1 | no | — |
| 560 | C2×C32 | — | 8 | 2 | no | — |
| 561 | C2×C32 | — | 8 | 1 | no | — |
| 562 | C2×C32 | — | 16 | 1 | no | — |
| 563 | #368 | — | 2 | 1 | no | — |
| 564 | #368 | — | 2 | 1 | no | — |
| 565 | #368 | — | 2 | 1 | no | — |
| 566 | #368 | — | 8 | 2 | no | — |
| 567 | #368 | — | 8 | 1 | no | — |
| 568 | #368 | — | 8 | 1 | no | — |
| 569 | #368 | — | 8 | 1 | no | — |
| 570 | #368 | — | 8 | 1 | no | — |
| 571 | #368 | — | 16 | 1 | no | — |
| 572 | #368 | D4⋊C8 | 1 | 2 | yes | — |
| 573 | #367 | — | 2 | 1 | no | — |
| 574 | #366 | — | 2 | 1 | no | — |
| 575 | #364 | — | 2 | 2 | no | — |
| 576 | #364 | — | 2 | 2 | no | — |
| 577 | #364 | — | 4 | 1 | no | — |
| 578 | #364 | — | 4 | 1 | no | — |
| 579 | #359 | — | 2 | 2 | no | — |
| 580 | #359 | — | 2 | 2 | no | — |
| 581 | #359 | — | 4 | 2 | no | — |
| 582 | #359 | — | 16 | 1 | no | — |
| 583 | #359 | — | 16 | 1 | no | — |
| 584 | #359 | — | 16 | 1 | no | — |
| 585 | #359 | — | 16 | 1 | no | — |
| 586 | #359 | — | 16 | 2 | no | — |
| 587 | #359 | — | 16 | 2 | no | — |
| 588 | #358 | — | 4 | 1 | no | — |
| 589 | #357 | — | 4 | 1 | no | — |
| 590 | #350 | — | 4 | 4 | no | — |
| 591 | #350 | — | 4 | 2 | no | — |
| 592 | #350 | — | 4 | 2 | no | — |
| 593 | #346 | — | 2 | 1 | no | — |
| 594 | #346 | — | 2 | 1 | no | — |
| 595 | #346 | — | 2 | 1 | no | — |
| 596 | #346 | — | 2 | 1 | no | — |
| 597 | #346 | — | 2 | 1 | no | — |
| 598 | #346 | — | 2 | 1 | no | — |
| 599 | #346 | — | 2 | 1 | no | — |
| 600 | #346 | — | 2 | 1 | no | — |
| 601 | #346 | — | 2 | 2 | no | — |
| 602 | #346 | — | 4 | 1 | no | — |
| 603 | #346 | — | 4 | 1 | no | — |
| 604 | #346 | — | 4 | 1 | no | — |
| 605 | #346 | — | 8 | 1 | no | — |
| 606 | #346 | — | 8 | 1 | no | — |
| 607 | #346 | — | 8 | 1 | no | — |
| 608 | C4×C16 | — | 2 | 1 | no | — |
| 609 | C4×C16 | — | 2 | 1 | no | — |
| 610 | C4×C16 | — | 2 | 1 | no | — |
| 611 | C4×C16 | — | 2 | 1 | no | — |
| 612 | C4×C16 | — | 8 | 1 | no | — |
| 613 | C4×C16 | — | 8 | 1 | no | — |
| 614 | C4×C16 | — | 8 | 1 | no | — |
| 615 | C4×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 616 | C4×C16 | #408 | 1 | 1 | yes | characteristic |
| 617 | C4×C16 | C2×#104 | 1 | 1 | yes | characteristic |
| 618 | C4×C16 | C2×#104 | 1 | 1 | yes | characteristic |
| 619 | C4×C16 | C8×D4 | 1 | 1 | yes | characteristic |
| 620 | C4×C16 | #435 | 1 | 1 | yes | characteristic |
| 621 | C4×C16 | #443 | 1 | 1 | yes | characteristic |
| 622 | C4×C16 | #444 | 1 | 1 | yes | characteristic |
| 623 | #341 | — | 4 | 1 | no | — |
| 624 | #339 | — | 4 | 1 | no | — |
| 625 | #339 | — | 4 | 1 | no | — |
| 626 | #335 | — | 16 | 2 | no | — |
| 627 | #334 | — | 16 | 1 | no | — |
| 628 | #334 | — | 16 | 1 | no | — |
| 629 | #334 | — | 16 | 1 | no | — |
| 630 | #334 | — | 16 | 1 | no | — |
| 631 | #334 | — | 32 | 4 | no | — |
| 632 | D4⋊C8 | — | 16 | 4 | no | — |
| 633 | C82 | — | 2 | 1 | no | — |
| 634 | C82 | — | 2 | 1 | no | — |
| 635 | C82 | — | 2 | 1 | no | — |
| 636 | C82 | — | 4 | 2 | no | — |
| 637 | C82 | C8×D4 | 1 | 1 | yes | characteristic |
| 638 | C82 | #435 | 1 | 1 | yes | characteristic |
| 639 | C2×#41 | — | 4 | 1 | no | — |
| 640 | C2×#41 | — | 16 | 1 | no | — |
| 641 | #135 | — | 2 | 2 | no | — |
| 642 | #135 | — | 2 | 2 | no | — |
| 643 | #135 | — | 4 | 1 | no | — |
| 644 | #135 | — | 4 | 1 | no | — |
| 645 | #135 | — | 16 | 1 | no | — |
| 646 | #135 | — | 16 | 1 | no | — |
| 647 | #135 | — | 16 | 1 | no | — |
| 648 | #135 | — | 16 | 1 | no | — |
| 649 | #135 | — | 16 | 1 | no | — |
| 650 | #135 | — | 16 | 1 | no | — |
| 651 | #135 | — | 16 | 1 | no | — |
| 652 | #135 | — | 16 | 1 | no | — |
| 653 | C2×Q16 | — | 2 | 1 | no | — |
| 654 | C2×Q16 | — | 8 | 1 | no | — |
| 655 | C2×Q16 | — | 8 | 1 | no | — |
| 656 | C2×SD16 | — | 4 | 1 | no | — |
| 657 | C2×SD16 | — | 16 | 1 | no | — |
| 658 | C2×SD16 | — | 16 | 1 | no | — |
| 659 | C2×D8 | — | 2 | 1 | no | — |
| 660 | C2×D8 | — | 8 | 1 | no | — |
| 661 | C2×D8 | — | 8 | 1 | no | — |
| 662 | C2×D8 | — | 16 | 2 | no | — |
| 663 | #131 | — | 4 | 2 | no | — |
| 664 | #131 | — | 4 | 2 | no | — |
| 665 | #131 | — | 8 | 2 | no | — |
| 666 | #131 | — | 8 | 1 | no | — |
| 667 | #131 | — | 8 | 1 | no | — |
| 668 | #131 | — | 16 | 1 | no | — |
| 669 | #131 | — | 32 | 1 | no | — |
| 670 | #131 | — | 32 | 1 | no | — |
| 671 | #131 | — | 32 | 1 | no | — |
| 672 | #131 | — | 32 | 1 | no | — |
| 673 | C2×M16 | — | 4 | 1 | no | — |
| 674 | C2×M16 | — | 4 | 1 | no | — |
| 675 | C2×M16 | — | 8 | 1 | no | — |
| 676 | C2×M16 | — | 8 | 1 | no | — |
| 677 | C2×M16 | — | 16 | 1 | no | — |
| 678 | C2×M16 | — | 32 | 1 | no | — |
| 679 | C22×C8 | — | 2 | 2 | no | — |
| 680 | C22×C8 | — | 4 | 1 | no | — |
| 681 | C22×C8 | — | 8 | 1 | no | — |
| 682 | C22×C8 | — | 8 | 1 | no | — |
| 683 | C22×C8 | — | 32 | 1 | no | — |
| 684 | C22×C8 | — | 32 | 1 | no | — |
| 685 | C22×C8 | #1665 | 1 | 1 | yes | characteristic |
| 686 | C22×C8 | #1681 | 1 | 1 | yes | characteristic |
| 687 | C22×C8 | #1879 | 1 | 1 | yes | characteristic |
| 688 | C22×C8 | #1893 | 1 | 1 | yes | characteristic |
| 689 | C4⋊Q8 | — | 8 | 1 | no | — |
| 690 | #127 | — | 8 | 1 | no | — |
| 691 | #124 | — | 16 | 1 | no | — |
| 692 | #121 | — | 16 | 2 | no | — |
| 693 | C4×Q8 | — | 8 | 1 | no | — |
| 694 | C4×D4 | — | 8 | 1 | no | — |
| 695 | C4×D4 | — | 16 | 2 | no | — |
| 696 | C4×D4 | — | 16 | 1 | no | — |
| 697 | #117 | — | 4 | 1 | no | — |
| 698 | #117 | — | 8 | 1 | no | — |
| 699 | C2×C42 | — | 4 | 1 | no | — |
| 700 | C2×C42 | — | 8 | 1 | no | — |
| 701 | C2×C42 | #1667 | 1 | 1 | yes | characteristic |
| 702 | C2×C42 | #1677 | 1 | 1 | yes | characteristic |
| 703 | C2×C42 | #1907 | 1 | 1 | yes | characteristic |
| 704 | Q32 | — | 2 | 1 | no | — |
| 705 | Q32 | — | 8 | 2 | no | — |
| 706 | Q32 | — | 8 | 1 | no | — |
| 707 | Q32 | — | 8 | 1 | no | — |
| 708 | Q32 | — | 8 | 1 | no | — |
| 709 | Q32 | — | 8 | 1 | no | — |
| 710 | Q32 | — | 16 | 1 | no | — |
| 711 | Q32 | #1333 | 1 | 2 | yes | — |
| 712 | SD32 | — | 2 | 2 | no | — |
| 713 | SD32 | — | 2 | 2 | no | — |
| 714 | SD32 | — | 16 | 2 | no | — |
| 715 | SD32 | — | 16 | 2 | no | — |
| 716 | SD32 | — | 16 | 1 | no | — |
| 717 | SD32 | — | 16 | 1 | no | — |
| 718 | SD32 | — | 16 | 1 | no | — |
| 719 | SD32 | — | 16 | 1 | no | — |
| 720 | D16 | — | 2 | 1 | no | — |
| 721 | D16 | — | 8 | 2 | no | — |
| 722 | D16 | — | 8 | 1 | no | — |
| 723 | D16 | — | 8 | 1 | no | — |
| 724 | D16 | — | 8 | 1 | no | — |
| 725 | D16 | — | 8 | 1 | no | — |
| 726 | D16 | — | 16 | 1 | no | — |
| 727 | D16 | #1333 | 1 | 2 | yes | — |
| 728 | M32 | — | 4 | 2 | no | — |
| 729 | M32 | — | 4 | 2 | no | — |
| 730 | M32 | — | 8 | 4 | no | — |
| 731 | M32 | — | 8 | 1 | no | — |
| 732 | M32 | — | 8 | 1 | no | — |
| 733 | M32 | — | 8 | 2 | no | — |
| 734 | M32 | — | 8 | 2 | no | — |
| 735 | C2×C16 | — | 2 | 1 | no | — |
| 736 | C2×C16 | — | 2 | 1 | no | — |
| 737 | C2×C16 | — | 2 | 1 | no | — |
| 738 | C2×C16 | — | 2 | 1 | no | — |
| 739 | C2×C16 | — | 2 | 1 | no | — |
| 740 | C2×C16 | — | 2 | 1 | no | — |
| 741 | C2×C16 | — | 2 | 1 | no | — |
| 742 | C2×C16 | — | 2 | 1 | no | — |
| 743 | C2×C16 | — | 2 | 1 | no | — |
| 744 | C2×C16 | — | 2 | 1 | no | — |
| 745 | C2×C16 | — | 2 | 1 | no | — |
| 746 | C2×C16 | — | 2 | 1 | no | — |
| 747 | C2×C16 | — | 2 | 1 | no | — |
| 748 | C2×C16 | — | 2 | 1 | no | — |
| 749 | C2×C16 | — | 2 | 1 | no | — |
| 750 | C2×C16 | — | 8 | 4 | no | — |
| 751 | C2×C16 | — | 8 | 1 | no | — |
| 752 | C2×C16 | — | 8 | 1 | no | — |
| 753 | C2×C16 | — | 8 | 2 | no | — |
| 754 | C2×C16 | — | 8 | 2 | no | — |
| 755 | C2×C16 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 756 | C2×C16 | #1476 | 1 | 1 | yes | characteristic |
| 757 | C2×C16 | #1492 | 1 | 1 | yes | characteristic |
| 758 | C2×C16 | #1494 | 1 | 1 | yes | characteristic |
| 759 | C2×C16 | C8×D8 | 1 | 1 | yes | characteristic |
| 760 | C2×C16 | #1580 | 1 | 1 | yes | characteristic |
| 761 | C2×C16 | #1581 | 1 | 1 | yes | characteristic |
| 762 | C2×C16 | #1586 | 1 | 1 | yes | characteristic |
| 763 | C2×C16 | C2×#360 | 1 | 1 | yes | characteristic |
| 764 | C2×C16 | #2145 | 1 | 1 | yes | characteristic |
| 765 | C2×C16 | C2×#361 | 1 | 1 | yes | characteristic |
| 766 | C2×C16 | #2148 | 1 | 1 | yes | characteristic |
| 767 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 768 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 769 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 770 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 771 | C2×C16 | #2190 | 1 | 2 | yes | — |
| 772 | #108 | — | 2 | 2 | no | — |
| 773 | #108 | — | 4 | 1 | no | — |
| 774 | #108 | — | 4 | 1 | no | — |
| 775 | #108 | — | 4 | 1 | no | — |
| 776 | #108 | — | 16 | 1 | no | — |
| 777 | #108 | — | 16 | 1 | no | — |
| 778 | #108 | — | 16 | 1 | no | — |
| 779 | #108 | — | 16 | 1 | no | — |
| 780 | #107 | — | 4 | 1 | no | — |
| 781 | #107 | — | 16 | 2 | no | — |
| 782 | #106 | — | 4 | 1 | no | — |
| 783 | C4⋊C8 | — | 16 | 2 | no | — |
| 784 | C4⋊C8 | — | 32 | 1 | no | — |
| 785 | C4⋊C8 | — | 32 | 1 | no | — |
| 786 | C4⋊C8 | — | 32 | 4 | no | — |
| 787 | #104 | — | 4 | 2 | no | — |
| 788 | #104 | — | 4 | 2 | no | — |
| 789 | #104 | — | 8 | 2 | no | — |
| 790 | #104 | — | 32 | 1 | no | — |
| 791 | #104 | — | 32 | 1 | no | — |
| 792 | #104 | — | 32 | 1 | no | — |
| 793 | #104 | — | 32 | 1 | no | — |
| 794 | #103 | — | 8 | 1 | no | — |
| 795 | #102 | — | 8 | 1 | no | — |
| 796 | #102 | — | 16 | 4 | no | — |
| 797 | C22⋊C8 | — | 32 | 2 | no | — |
| 798 | #97 | — | 8 | 1 | no | — |
| 799 | #97 | — | 8 | 1 | no | — |
| 800 | #97 | — | 8 | 1 | no | — |
| 801 | C4×C8 | — | 2 | 2 | no | — |
| 802 | C4×C8 | — | 2 | 1 | no | — |
| 803 | C4×C8 | — | 2 | 1 | no | — |
| 804 | C4×C8 | — | 2 | 1 | no | — |
| 805 | C4×C8 | — | 2 | 1 | no | — |
| 806 | C4×C8 | — | 2 | 1 | no | — |
| 807 | C4×C8 | — | 2 | 1 | no | — |
| 808 | C4×C8 | — | 2 | 1 | no | — |
| 809 | C4×C8 | — | 2 | 1 | no | — |
| 810 | C4×C8 | — | 2 | 1 | no | — |
| 811 | C4×C8 | — | 2 | 1 | no | — |
| 812 | C4×C8 | — | 4 | 1 | no | — |
| 813 | C4×C8 | — | 4 | 1 | no | — |
| 814 | C4×C8 | — | 4 | 1 | no | — |
| 815 | C4×C8 | — | 8 | 1 | no | — |
| 816 | C4×C8 | — | 8 | 1 | no | — |
| 817 | C4×C8 | — | 8 | 4 | no | — |
| 818 | C4×C8 | — | 8 | 1 | no | — |
| 819 | C4×C8 | #1869 | 1 | 1 | yes | characteristic |
| 820 | C4×C8 | #1876 | 1 | 1 | yes | characteristic |
| 821 | C4×C8 | #1896 | 1 | 1 | yes | characteristic |
| 822 | C4×C8 | #1906 | 1 | 1 | yes | characteristic |
| 823 | C32 | — | 4 | 4 | no | — |
| 824 | C32 | — | 8 | 4 | no | — |
| 825 | C32 | — | 8 | 2 | no | — |
| 826 | C32 | — | 8 | 2 | no | — |
| 827 | C32 | — | 16 | 2 | no | — |
| 828 | C32 | — | 16 | 1 | no | — |
| 829 | #41 | — | 4 | 2 | no | — |
| 830 | #41 | — | 4 | 2 | no | — |
| 831 | #41 | — | 8 | 1 | no | — |
| 832 | #41 | — | 8 | 1 | no | — |
| 833 | #41 | — | 32 | 1 | no | — |
| 834 | #41 | — | 32 | 1 | no | — |
| 835 | #41 | — | 32 | 1 | no | — |
| 836 | #41 | — | 32 | 1 | no | — |
| 837 | C2×Q8 | — | 4 | 1 | no | — |
| 838 | C2×Q8 | — | 16 | 1 | no | — |
| 839 | C2×D4 | — | 4 | 1 | no | — |
| 840 | C2×D4 | — | 8 | 1 | no | — |
| 841 | C2×D4 | — | 16 | 2 | no | — |
| 842 | C2×D4 | — | 16 | 1 | no | — |
| 843 | C2×D4 | — | 32 | 1 | no | — |
| 844 | C22×C4 | — | 2 | 1 | no | — |
| 845 | C22×C4 | — | 2 | 1 | no | — |
| 846 | C22×C4 | — | 2 | 1 | no | — |
| 847 | C22×C4 | — | 8 | 1 | no | — |
| 848 | C22×C4 | — | 16 | 1 | no | — |
| 849 | C22×C4 | — | 32 | 1 | no | — |
| 850 | C22×C4 | #9221 | 1 | 1 | yes | characteristic |
| 851 | Q16 | — | 2 | 2 | no | — |
| 852 | Q16 | — | 4 | 1 | no | — |
| 853 | Q16 | — | 16 | 1 | no | — |
| 854 | Q16 | — | 16 | 1 | no | — |
| 855 | Q16 | — | 16 | 1 | no | — |
| 856 | Q16 | — | 16 | 1 | no | — |
| 857 | SD16 | — | 4 | 2 | no | — |
| 858 | SD16 | — | 4 | 2 | no | — |
| 859 | SD16 | — | 32 | 1 | no | — |
| 860 | SD16 | — | 32 | 1 | no | — |
| 861 | SD16 | — | 32 | 1 | no | — |
| 862 | SD16 | — | 32 | 1 | no | — |
| 863 | D8 | — | 2 | 2 | no | — |
| 864 | D8 | — | 4 | 1 | no | — |
| 865 | D8 | — | 16 | 1 | no | — |
| 866 | D8 | — | 16 | 1 | no | — |
| 867 | D8 | — | 16 | 1 | no | — |
| 868 | D8 | — | 16 | 1 | no | — |
| 869 | D8 | — | 32 | 4 | no | — |
| 870 | M16 | — | 4 | 2 | no | — |
| 871 | M16 | — | 8 | 1 | no | — |
| 872 | M16 | — | 8 | 2 | no | — |
| 873 | M16 | — | 8 | 2 | no | — |
| 874 | M16 | — | 8 | 1 | no | — |
| 875 | M16 | — | 8 | 1 | no | — |
| 876 | M16 | — | 16 | 2 | no | — |
| 877 | M16 | — | 32 | 1 | no | — |
| 878 | M16 | — | 32 | 1 | no | — |
| 879 | M16 | — | 64 | 1 | no | — |
| 880 | M16 | — | 64 | 1 | no | — |
| 881 | C2×C8 | — | 2 | 2 | no | — |
| 882 | C2×C8 | — | 2 | 2 | no | — |
| 883 | C2×C8 | — | 2 | 1 | no | — |
| 884 | C2×C8 | — | 2 | 1 | no | — |
| 885 | C2×C8 | — | 2 | 1 | no | — |
| 886 | C2×C8 | — | 2 | 1 | no | — |
| 887 | C2×C8 | — | 2 | 1 | no | — |
| 888 | C2×C8 | — | 2 | 1 | no | — |
| 889 | C2×C8 | — | 4 | 4 | no | — |
| 890 | C2×C8 | — | 8 | 1 | no | — |
| 891 | C2×C8 | — | 8 | 2 | no | — |
| 892 | C2×C8 | — | 8 | 2 | no | — |
| 893 | C2×C8 | — | 8 | 1 | no | — |
| 894 | C2×C8 | — | 8 | 2 | no | — |
| 895 | C2×C8 | — | 8 | 1 | no | — |
| 896 | C2×C8 | — | 16 | 2 | no | — |
| 897 | C2×C8 | — | 32 | 1 | no | — |
| 898 | C2×C8 | — | 64 | 1 | no | — |
| 899 | C2×C8 | — | 64 | 1 | no | — |
| 900 | C2×C8 | — | 64 | 1 | no | — |
| 901 | C2×C8 | — | 64 | 2 | no | — |
| 902 | C2×C8 | #8947 | 1 | 1 | yes | characteristic |
| 903 | C2×C8 | #9072 | 1 | 1 | yes | characteristic |
| 904 | C2×C8 | #9208 | 1 | 1 | yes | characteristic |
| 905 | C2×C8 | #9233 | 1 | 1 | yes | characteristic |
| 906 | C2×C8 | #13024 | 1 | 1 | yes | characteristic |
| 907 | C2×C8 | #13025 | 1 | 1 | yes | characteristic |
| 908 | C2×C8 | #13037 | 1 | 1 | yes | characteristic |
| 909 | C2×C8 | #13040 | 1 | 1 | yes | characteristic |
| 910 | C2×C8 | #13065 | 1 | 1 | yes | characteristic |
| 911 | C2×C8 | #13067 | 1 | 1 | yes | characteristic |
| 912 | C2×C8 | #13068 | 1 | 1 | yes | characteristic |
| 913 | C2×C8 | #13070 | 1 | 1 | yes | characteristic |
| 914 | C4⋊C4 | — | 8 | 1 | no | — |
| 915 | C4⋊C4 | — | 16 | 2 | no | — |
| 916 | C4⋊C4 | — | 16 | 1 | no | — |
| 917 | C22⋊C4 | — | 8 | 1 | no | — |
| 918 | C22⋊C4 | — | 16 | 1 | no | — |
| 919 | C22⋊C4 | — | 32 | 2 | no | — |
| 920 | C42 | — | 2 | 1 | no | — |
| 921 | C42 | — | 2 | 1 | no | — |
| 922 | C42 | — | 2 | 1 | no | — |
| 923 | C42 | — | 2 | 1 | no | — |
| 924 | C42 | — | 2 | 1 | no | — |
| 925 | C42 | — | 8 | 2 | no | — |
| 926 | C42 | — | 8 | 1 | no | — |
| 927 | C42 | — | 16 | 1 | no | — |
| 928 | C42 | #9095 | 1 | 1 | yes | characteristic |
| 929 | C42 | #9211 | 1 | 1 | yes | characteristic |
| 930 | C16 | — | 2 | 1 | no | — |
| 931 | C16 | — | 2 | 1 | no | — |
| 932 | C16 | — | 2 | 2 | no | — |
| 933 | C16 | — | 2 | 1 | no | — |
| 934 | C16 | — | 2 | 1 | no | — |
| 935 | C16 | — | 4 | 1 | no | — |
| 936 | C16 | — | 4 | 1 | no | — |
| 937 | C16 | — | 4 | 1 | no | — |
| 938 | C16 | — | 8 | 2 | no | — |
| 939 | C16 | — | 8 | 2 | no | — |
| 940 | C16 | C2×#1333 | 1 | 1 | yes | characteristic |
| 941 | C16 | #11597 | 1 | 1 | yes | characteristic |
| 942 | C16 | #11677 | 1 | 1 | yes | characteristic |
| 943 | C16 | #11678 | 1 | 1 | yes | characteristic |
| 944 | C16 | #12067 | 1 | 1 | yes | characteristic |
| 945 | C16 | #12067 | 1 | 1 | yes | characteristic |
| 946 | C16 | #12078 | 1 | 1 | yes | characteristic |
| 947 | C16 | #12078 | 1 | 1 | yes | characteristic |
| 948 | C23 | — | 8 | 1 | no | — |
| 949 | C23 | — | 32 | 1 | no | — |
| 950 | C23 | #138660 | 1 | 1 | yes | characteristic |
| 951 | Q8 | — | 4 | 2 | no | — |
| 952 | Q8 | — | 8 | 1 | no | — |
| 953 | Q8 | — | 32 | 1 | no | — |
| 954 | Q8 | — | 32 | 1 | no | — |
| 955 | D4 | — | 4 | 2 | no | — |
| 956 | D4 | — | 8 | 2 | no | — |
| 957 | D4 | — | 8 | 2 | no | — |
| 958 | D4 | — | 8 | 1 | no | — |
| 959 | D4 | — | 32 | 4 | no | — |
| 960 | D4 | — | 32 | 1 | no | — |
| 961 | D4 | — | 32 | 1 | no | — |
| 962 | D4 | — | 64 | 1 | no | — |
| 963 | D4 | — | 64 | 1 | no | — |
| 964 | C2×C4 | — | 2 | 1 | no | — |
| 965 | C2×C4 | — | 2 | 1 | no | — |
| 966 | C2×C4 | — | 4 | 2 | no | — |
| 967 | C2×C4 | — | 4 | 1 | no | — |
| 968 | C2×C4 | — | 4 | 1 | no | — |
| 969 | C2×C4 | — | 8 | 1 | no | — |
| 970 | C2×C4 | — | 8 | 2 | no | — |
| 971 | C2×C4 | — | 8 | 2 | no | — |
| 972 | C2×C4 | — | 8 | 1 | no | — |
| 973 | C2×C4 | — | 8 | 1 | no | — |
| 974 | C2×C4 | — | 16 | 1 | no | — |
| 975 | C2×C4 | — | 32 | 1 | no | — |
| 976 | C2×C4 | — | 64 | 1 | no | — |
| 977 | C2×C4 | — | 64 | 1 | no | — |
| 978 | C2×C4 | — | 64 | 1 | no | — |
| 979 | C2×C4 | #99857 | 1 | 1 | yes | characteristic |
| 980 | C2×C4 | #138638 | 1 | 1 | yes | characteristic |
| 981 | C2×C4 | #138640 | 1 | 1 | yes | characteristic |
| 982 | C2×C4 | #138651 | 1 | 1 | yes | characteristic |
| 983 | C2×C4 | #138653 | 1 | 1 | yes | characteristic |
| 984 | C2×C4 | #138661 | 1 | 1 | yes | characteristic |
| 985 | C8 | — | 2 | 4 | no | — |
| 986 | C8 | — | 4 | 2 | no | — |
| 987 | C8 | — | 4 | 1 | no | — |
| 988 | C8 | — | 4 | 1 | no | — |
| 989 | C8 | — | 8 | 2 | no | — |
| 990 | C8 | — | 16 | 1 | no | — |
| 991 | C8 | — | 16 | 1 | no | — |
| 992 | C8 | — | 64 | 1 | no | — |
| 993 | C8 | — | 128 | 1 | no | — |
| 994 | C8 | #136695 | 1 | 1 | yes | characteristic |
| 995 | C8 | #136707 | 1 | 1 | yes | characteristic |
| 996 | C8 | #137612 | 1 | 1 | yes | characteristic |
| 997 | C8 | #137615 | 1 | 1 | yes | characteristic |
| 998 | C8 | #138556 | 1 | 1 | yes | characteristic |
| 999 | C8 | #138561 | 1 | 1 | yes | characteristic |
| 1000 | C8 | #138739 | 1 | 1 | yes | characteristic |
| 1001 | C8 | #138740 | 1 | 1 | yes | characteristic |
| 1002 | C22 | — | 4 | 1 | no | — |
| 1003 | C22 | — | 8 | 2 | no | — |
| 1004 | C22 | — | 32 | 1 | no | — |
| 1005 | C22 | — | 64 | 2 | no | — |
| 1006 | C22 | — | 64 | 1 | no | — |
| 1007 | C22 | #72216471 | 1 | 1 | yes | characteristic |
| 1008 | C22 | #72227245 | 1 | 1 | yes | characteristic |
| 1009 | C22 | #72227248 | 1 | 1 | yes | characteristic |
| 1010 | C4 | — | 2 | 2 | no | — |
| 1011 | C4 | — | 4 | 1 | no | — |
| 1012 | C4 | — | 8 | 1 | no | — |
| 1013 | C4 | — | 8 | 1 | no | — |
| 1014 | C4 | — | 8 | 2 | no | — |
| 1015 | C4 | — | 32 | 1 | no | — |
| 1016 | C4 | — | 64 | 1 | no | — |
| 1017 | C4 | #72216313 | 1 | 1 | yes | characteristic |
| 1018 | C4 | #72227021 | 1 | 1 | yes | characteristic |
| 1019 | C4 | #72227246 | 1 | 1 | yes | characteristic |
| 1020 | C4 | #72227247 | 1 | 1 | yes | characteristic |
| 1021 | C2 | — | 2 | 1 | no | — |
| 1022 | C2 | — | 2 | 1 | no | — |
| 1023 | C2 | — | 2 | 1 | no | — |
| 1024 | C2 | — | 16 | 2 | no | — |
| 1025 | C2 | — | 128 | 1 | no | — |
| 1026 | C2 | #72227249 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72227249 |
| commutator | C8×C16 | C22×C8 |
| Frattini, cosocle | C8×#346 | C23 |
| prime radical | #72225339 | C4 |
| LCS | G ▷ C8×C16 ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ 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. #72227235 | C2 | semidirect |
| 2. #72227224 | C2 | semidirect |
| 4. #72225525 | C2 | semidirect |
| 19. #72225160 | C2 | semidirect |
| 23. #72216558 | C2 | semidirect |
| 24. #72216289 | C2 | semidirect |
| 60. #151635 | C8 | semidirect |
| 61. #151634 | C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72227235 | 2 |
| #72227224 | 2 |
| #72225525 | 2 |
| #72225345 | 2 |
| #72225160 | 2 |
| #72216558 | 2 |
| #72216289 | 2 |