Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
1362 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 1362 conjugacy classes of subgroups — too many to draw. Only its 83 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #7487868 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #152681 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #152675 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #152093 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #139785 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #139777 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #114858 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #61109 | C4 | 1 | 1 | yes | characteristic, complemented |
| 9 | #60799 | C22 | 1 | 1 | yes | characteristic |
| 10 | #31417 | — | 2 | 1 | no | — |
| 11 | #31415 | — | 2 | 1 | no | — |
| 12 | #31284 | C4 | 1 | 1 | yes | characteristic, complemented |
| 13 | #31283 | C4 | 1 | 1 | yes | characteristic, complemented |
| 14 | #30498 | — | 2 | 1 | no | — |
| 15 | #30435 | — | 2 | 1 | no | — |
| 16 | #30434 | — | 2 | 1 | no | — |
| 17 | #30056 | — | 2 | 1 | no | — |
| 18 | #29384 | — | 2 | 1 | no | — |
| 19 | #24475 | — | 2 | 1 | no | — |
| 20 | #24473 | — | 2 | 1 | no | — |
| 21 | #23994 | — | 2 | 1 | no | — |
| 22 | #23910 | C22 | 1 | 1 | yes | characteristic |
| 23 | #23907 | C22 | 1 | 1 | yes | characteristic |
| 24 | #23885 | — | 2 | 1 | no | — |
| 25 | #23882 | — | 2 | 1 | no | — |
| 26 | #23362 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | #21417 | — | 2 | 1 | no | — |
| 28 | #17666 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #14169 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #13603 | — | 2 | 1 | no | — |
| 31 | #13578 | — | 2 | 1 | no | — |
| 32 | #13569 | — | 2 | 1 | no | — |
| 33 | #13565 | — | 2 | 1 | no | — |
| 34 | #12699 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #12694 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #8534 | — | 2 | 1 | no | — |
| 37 | #8455 | — | 2 | 1 | no | — |
| 38 | #7855 | — | 2 | 1 | no | — |
| 39 | #7495 | — | 2 | 1 | no | — |
| 40 | #7481 | — | 2 | 1 | no | — |
| 41 | #7308 | — | 2 | 1 | no | — |
| 42 | #7304 | — | 2 | 1 | no | — |
| 43 | #3586 | — | 2 | 1 | no | — |
| 44 | #3585 | — | 2 | 1 | no | — |
| 45 | #3486 | D4 | 1 | 1 | yes | characteristic |
| 46 | #3484 | D4 | 1 | 1 | yes | characteristic |
| 47 | #3444 | D4 | 1 | 1 | yes | characteristic |
| 48 | C22×#124 | C23 | 1 | 1 | yes | characteristic |
| 49 | #3290 | — | 4 | 2 | no | — |
| 50 | #3289 | — | 4 | 1 | no | — |
| 51 | #3288 | — | 4 | 1 | no | — |
| 52 | #3215 | — | 4 | 1 | no | — |
| 53 | #3213 | — | 4 | 1 | no | — |
| 54 | #3211 | — | 4 | 2 | no | — |
| 55 | #3153 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | #3153 | D4 | 1 | 1 | yes | characteristic |
| 57 | #3140 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | #3140 | D4 | 1 | 1 | yes | characteristic |
| 59 | #3069 | — | 2 | 1 | no | — |
| 60 | #3069 | — | 2 | 1 | no | — |
| 61 | #3068 | — | 2 | 1 | no | — |
| 62 | #3068 | — | 2 | 1 | no | — |
| 63 | #3040 | — | 2 | 1 | no | — |
| 64 | #3040 | — | 2 | 1 | no | — |
| 65 | #3025 | — | 2 | 1 | no | — |
| 66 | #3022 | — | 2 | 1 | no | — |
| 67 | #3021 | — | 2 | 1 | no | — |
| 68 | #3018 | — | 2 | 1 | no | — |
| 69 | C2×#454 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | C2×#454 | D4 | 1 | 1 | yes | characteristic |
| 71 | C2×#455 | C2×C4 | 1 | 1 | yes | characteristic |
| 72 | C2×#455 | D4 | 1 | 1 | yes | characteristic |
| 73 | #3004 | — | 2 | 1 | no | — |
| 74 | #3004 | — | 2 | 1 | no | — |
| 75 | #3003 | — | 2 | 1 | no | — |
| 76 | #3003 | — | 2 | 1 | no | — |
| 77 | #2956 | — | 2 | 1 | no | — |
| 78 | #2920 | — | 2 | 1 | no | — |
| 79 | #2920 | D4 | 1 | 1 | yes | characteristic |
| 80 | #2901 | — | 2 | 1 | no | — |
| 81 | C2×#376 | — | 2 | 1 | no | — |
| 82 | C2×#355 | — | 2 | 1 | no | — |
| 83 | C2×#355 | — | 2 | 1 | no | — |
| 84 | C2×#354 | — | 2 | 1 | no | — |
| 85 | C2×#354 | — | 2 | 1 | no | — |
| 86 | #2102 | — | 2 | 1 | no | — |
| 87 | #2091 | — | 2 | 1 | no | — |
| 88 | #2082 | — | 2 | 1 | no | — |
| 89 | #2082 | — | 2 | 1 | no | — |
| 90 | #2081 | — | 2 | 1 | no | — |
| 91 | #2081 | — | 2 | 1 | no | — |
| 92 | #2050 | — | 2 | 1 | no | — |
| 93 | #2049 | — | 2 | 1 | no | — |
| 94 | #2049 | — | 2 | 1 | no | — |
| 95 | #2048 | — | 2 | 1 | no | — |
| 96 | #2048 | — | 2 | 1 | no | — |
| 97 | #2031 | — | 2 | 1 | no | — |
| 98 | #2031 | — | 2 | 1 | no | — |
| 99 | #2010 | — | 2 | 1 | no | — |
| 100 | #2010 | — | 2 | 1 | no | — |
| 101 | #2010 | — | 2 | 1 | no | — |
| 102 | #2009 | — | 2 | 1 | no | — |
| 103 | #2009 | — | 2 | 1 | no | — |
| 104 | #2008 | — | 2 | 1 | no | — |
| 105 | #2008 | — | 2 | 1 | no | — |
| 106 | #2004 | — | 2 | 1 | no | — |
| 107 | #2004 | — | 2 | 1 | no | — |
| 108 | #2003 | — | 2 | 1 | no | — |
| 109 | #2003 | — | 2 | 1 | no | — |
| 110 | #1995 | — | 4 | 1 | no | — |
| 111 | #1963 | — | 4 | 1 | no | — |
| 112 | #1932 | — | 2 | 1 | no | — |
| 113 | #1932 | — | 2 | 1 | no | — |
| 114 | #1910 | — | 2 | 1 | no | — |
| 115 | #1909 | — | 2 | 1 | no | — |
| 116 | #1906 | — | 2 | 1 | no | — |
| 117 | #1906 | — | 2 | 1 | no | — |
| 118 | #1905 | — | 2 | 1 | no | — |
| 119 | #1905 | — | 2 | 1 | no | — |
| 120 | #1904 | — | 2 | 1 | no | — |
| 121 | #1904 | — | 2 | 1 | no | — |
| 122 | #1903 | — | 2 | 1 | no | — |
| 123 | #1903 | — | 2 | 1 | no | — |
| 124 | #1902 | — | 2 | 1 | no | — |
| 125 | #1902 | — | 2 | 1 | no | — |
| 126 | #1898 | — | 4 | 2 | no | — |
| 127 | #1896 | — | 2 | 1 | no | — |
| 128 | #1896 | — | 2 | 1 | no | — |
| 129 | #1896 | — | 4 | 2 | no | — |
| 130 | #1891 | — | 2 | 1 | no | — |
| 131 | #1891 | — | 2 | 1 | no | — |
| 132 | #1891 | — | 2 | 1 | no | — |
| 133 | #1888 | C2×C4 | 1 | 1 | yes | characteristic |
| 134 | #1888 | D4 | 1 | 1 | yes | characteristic |
| 135 | #1885 | C2×C4 | 1 | 1 | yes | characteristic |
| 136 | #1885 | D4 | 1 | 1 | yes | characteristic |
| 137 | #1884 | — | 2 | 1 | no | — |
| 138 | #1861 | — | 2 | 1 | no | — |
| 139 | #1861 | — | 2 | 1 | no | — |
| 140 | #1841 | — | 2 | 1 | no | — |
| 141 | #1827 | — | 2 | 1 | no | — |
| 142 | #1796 | — | 2 | 1 | no | — |
| 143 | #1795 | — | 2 | 1 | no | — |
| 144 | #1784 | — | 2 | 1 | no | — |
| 145 | #1784 | D4 | 1 | 1 | yes | characteristic |
| 146 | #1783 | D4 | 1 | 1 | yes | characteristic |
| 147 | #1781 | — | 2 | 1 | no | — |
| 148 | #1759 | — | 4 | 2 | no | — |
| 149 | #1533 | — | 2 | 1 | no | — |
| 150 | #1533 | — | 2 | 1 | no | — |
| 151 | #1527 | — | 4 | 2 | no | — |
| 152 | #1504 | — | 4 | 2 | no | — |
| 153 | #1446 | — | 2 | 1 | no | — |
| 154 | #1438 | — | 2 | 1 | no | — |
| 155 | #1437 | — | 4 | 2 | no | — |
| 156 | #1414 | — | 4 | 2 | no | — |
| 157 | #1407 | — | 4 | 1 | no | — |
| 158 | #1406 | — | 4 | 1 | no | — |
| 159 | #1404 | — | 4 | 2 | no | — |
| 160 | #1403 | — | 4 | 2 | no | — |
| 161 | #1274 | — | 4 | 2 | no | — |
| 162 | #585 | — | 2 | 1 | no | — |
| 163 | C2×2−1+4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 164 | C2×H(5,𝔽2) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 165 | C23×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 166 | C23×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | #578 | — | 4 | 2 | no | — |
| 168 | #578 | — | 8 | 1 | no | — |
| 169 | #577 | — | 4 | 2 | no | — |
| 170 | #577 | — | 4 | 2 | no | — |
| 171 | #577 | — | 8 | 1 | no | — |
| 172 | #577 | — | 8 | 1 | no | — |
| 173 | #576 | — | 4 | 2 | no | — |
| 174 | #576 | — | 8 | 1 | no | — |
| 175 | #575 | — | 2 | 1 | no | — |
| 176 | #575 | — | 2 | 1 | no | — |
| 177 | #575 | — | 2 | 1 | no | — |
| 178 | #575 | — | 8 | 1 | no | — |
| 179 | #575 | — | 8 | 1 | no | — |
| 180 | C2×#137 | — | 2 | 1 | no | — |
| 181 | C2×#137 | — | 2 | 1 | no | — |
| 182 | C2×#137 | — | 2 | 1 | no | — |
| 183 | C2×#137 | — | 2 | 1 | no | — |
| 184 | C2×#137 | — | 8 | 1 | no | — |
| 185 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 186 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 187 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 188 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 189 | C2×AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 190 | #568 | — | 2 | 1 | no | — |
| 191 | #568 | — | 2 | 1 | no | — |
| 192 | #568 | — | 2 | 1 | no | — |
| 193 | D4×Q8 | — | 8 | 1 | no | — |
| 194 | #548 | — | 8 | 1 | no | — |
| 195 | #546 | — | 8 | 1 | no | — |
| 196 | D42 | — | 8 | 1 | no | — |
| 197 | #536 | — | 2 | 1 | no | — |
| 198 | #536 | — | 4 | 1 | no | — |
| 199 | #535 | — | 2 | 1 | no | — |
| 200 | #534 | — | 4 | 1 | no | — |
| 201 | #533 | — | 2 | 1 | no | — |
| 202 | #533 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 203 | #532 | — | 2 | 1 | no | — |
| 204 | #532 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 205 | #529 | — | 4 | 1 | no | — |
| 206 | #529 | — | 4 | 1 | no | — |
| 207 | #529 | — | 4 | 1 | no | — |
| 208 | C2×#124 | — | 4 | 1 | no | — |
| 209 | C2×#124 | — | 4 | 1 | no | — |
| 210 | C2×#124 | — | 4 | 1 | no | — |
| 211 | C2×#124 | — | 4 | 1 | no | — |
| 212 | C2×#124 | — | 4 | 1 | no | — |
| 213 | C2×#124 | C22×C4 | 1 | 1 | yes | characteristic |
| 214 | C2×#124 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C2×#124 | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | C2×#124 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | #525 | — | 2 | 1 | no | — |
| 218 | #525 | — | 2 | 1 | no | — |
| 219 | #525 | — | 2 | 1 | no | — |
| 220 | #525 | — | 4 | 1 | no | — |
| 221 | #525 | — | 4 | 1 | no | — |
| 222 | C2×#120 | — | 4 | 1 | no | — |
| 223 | #519 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 224 | #518 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 225 | C4×#41 | — | 2 | 1 | no | — |
| 226 | C4×#41 | — | 4 | 1 | no | — |
| 227 | C22×C22⋊C4 | — | 2 | 2 | no | — |
| 228 | C22×C22⋊C4 | — | 4 | 1 | no | — |
| 229 | C22×C22⋊C4 | — | 4 | 1 | no | — |
| 230 | C22×C42 | — | 2 | 2 | no | — |
| 231 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | #497 | — | 2 | 1 | no | — |
| 233 | #497 | — | 2 | 1 | no | — |
| 234 | #496 | — | 2 | 1 | no | — |
| 235 | #496 | — | 2 | 1 | no | — |
| 236 | #495 | — | 2 | 2 | no | — |
| 237 | #495 | — | 4 | 1 | no | — |
| 238 | #489 | — | 4 | 1 | no | — |
| 239 | #489 | — | 4 | 1 | no | — |
| 240 | #488 | — | 2 | 2 | no | — |
| 241 | #488 | — | 4 | 1 | no | — |
| 242 | #473 | — | 4 | 2 | no | — |
| 243 | #473 | — | 8 | 1 | no | — |
| 244 | #472 | — | 4 | 2 | no | — |
| 245 | #472 | — | 8 | 1 | no | — |
| 246 | #471 | — | 4 | 2 | no | — |
| 247 | #471 | — | 4 | 2 | no | — |
| 248 | #471 | — | 8 | 1 | no | — |
| 249 | #471 | — | 8 | 1 | no | — |
| 250 | #464 | — | 4 | 2 | no | — |
| 251 | #464 | — | 4 | 2 | no | — |
| 252 | #463 | — | 4 | 2 | no | — |
| 253 | #463 | — | 4 | 2 | no | — |
| 254 | #458 | — | 8 | 1 | no | — |
| 255 | B(4,𝔽2) | — | 8 | 1 | no | — |
| 256 | #456 | — | 4 | 1 | no | — |
| 257 | #456 | — | 8 | 1 | no | — |
| 258 | #455 | — | 4 | 1 | no | — |
| 259 | #455 | — | 4 | 1 | no | — |
| 260 | #455 | — | 4 | 1 | no | — |
| 261 | #455 | — | 4 | 1 | no | — |
| 262 | #455 | — | 4 | 1 | no | — |
| 263 | #455 | — | 8 | 1 | no | — |
| 264 | #454 | — | 4 | 1 | no | — |
| 265 | #454 | — | 4 | 1 | no | — |
| 266 | #454 | — | 4 | 1 | no | — |
| 267 | #454 | — | 4 | 1 | no | — |
| 268 | #454 | — | 4 | 1 | no | — |
| 269 | #454 | — | 8 | 1 | no | — |
| 270 | #453 | — | 4 | 1 | no | — |
| 271 | #453 | — | 8 | 1 | no | — |
| 272 | #451 | — | 4 | 2 | no | — |
| 273 | #451 | — | 8 | 1 | no | — |
| 274 | #450 | — | 4 | 2 | no | — |
| 275 | #450 | — | 8 | 1 | no | — |
| 276 | #448 | — | 4 | 2 | no | — |
| 277 | #448 | — | 8 | 1 | no | — |
| 278 | #447 | — | 4 | 2 | no | — |
| 279 | #447 | — | 8 | 1 | no | — |
| 280 | #444 | — | 4 | 2 | no | — |
| 281 | #443 | — | 4 | 2 | no | — |
| 282 | #432 | — | 4 | 1 | no | — |
| 283 | #432 | — | 4 | 1 | no | — |
| 284 | #432 | — | 4 | 1 | no | — |
| 285 | #431 | — | 2 | 2 | no | — |
| 286 | #431 | — | 4 | 1 | no | — |
| 287 | #431 | — | 4 | 1 | no | — |
| 288 | #430 | — | 2 | 1 | no | — |
| 289 | #430 | — | 2 | 1 | no | — |
| 290 | #430 | — | 2 | 1 | no | — |
| 291 | #423 | — | 2 | 1 | no | — |
| 292 | #423 | — | 4 | 1 | no | — |
| 293 | #421 | — | 2 | 1 | no | — |
| 294 | #421 | — | 2 | 1 | no | — |
| 295 | #421 | — | 2 | 1 | no | — |
| 296 | #421 | — | 2 | 1 | no | — |
| 297 | #421 | — | 2 | 1 | no | — |
| 298 | #421 | — | 2 | 1 | no | — |
| 299 | #421 | — | 8 | 1 | no | — |
| 300 | C2×#104 | — | 2 | 1 | no | — |
| 301 | C2×#104 | — | 2 | 1 | no | — |
| 302 | C2×#104 | — | 2 | 1 | no | — |
| 303 | C2×#104 | — | 2 | 1 | no | — |
| 304 | C2×#104 | — | 4 | 4 | no | — |
| 305 | C2×#104 | — | 8 | 1 | no | — |
| 306 | #419 | — | 2 | 1 | no | — |
| 307 | #419 | — | 2 | 1 | no | — |
| 308 | #419 | — | 2 | 1 | no | — |
| 309 | #419 | — | 2 | 1 | no | — |
| 310 | #418 | — | 2 | 1 | no | — |
| 311 | #418 | — | 2 | 1 | no | — |
| 312 | #418 | — | 2 | 1 | no | — |
| 313 | #418 | — | 2 | 1 | no | — |
| 314 | #413 | — | 2 | 1 | no | — |
| 315 | #413 | — | 2 | 1 | no | — |
| 316 | #413 | — | 2 | 1 | no | — |
| 317 | C2×#101 | — | 2 | 1 | no | — |
| 318 | C2×#101 | — | 4 | 1 | no | — |
| 319 | C2×#101 | — | 4 | 1 | no | — |
| 320 | C2×#101 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 321 | C2×#101 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 322 | C2×#100 | — | 2 | 1 | no | — |
| 323 | C2×#100 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 324 | C2×#100 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 325 | #410 | — | 2 | 1 | no | — |
| 326 | #410 | — | 2 | 1 | no | — |
| 327 | #410 | — | 2 | 1 | no | — |
| 328 | C2×#99 | — | 4 | 1 | no | — |
| 329 | C2×#99 | — | 4 | 1 | no | — |
| 330 | C2×#99 | — | 8 | 2 | no | — |
| 331 | #407 | — | 2 | 1 | no | — |
| 332 | #407 | — | 2 | 1 | no | — |
| 333 | #407 | — | 2 | 1 | no | — |
| 334 | #407 | — | 4 | 1 | no | — |
| 335 | #407 | — | 4 | 1 | no | — |
| 336 | C4×M16 | — | 2 | 2 | no | — |
| 337 | C4×M16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 338 | C4×M16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 339 | #379 | — | 4 | 1 | no | — |
| 340 | #376 | — | 4 | 1 | no | — |
| 341 | #376 | — | 4 | 1 | no | — |
| 342 | #376 | — | 4 | 1 | no | — |
| 343 | #376 | — | 4 | 1 | no | — |
| 344 | C2×#95 | — | 2 | 2 | no | — |
| 345 | C2×#95 | — | 4 | 1 | no | — |
| 346 | C2×#95 | — | 4 | 1 | no | — |
| 347 | C2×#95 | — | 4 | 1 | no | — |
| 348 | #355 | — | 4 | 1 | no | — |
| 349 | #355 | — | 4 | 1 | no | — |
| 350 | #355 | — | 4 | 1 | no | — |
| 351 | #355 | — | 4 | 1 | no | — |
| 352 | #354 | — | 4 | 1 | no | — |
| 353 | #354 | — | 4 | 1 | no | — |
| 354 | #354 | — | 4 | 1 | no | — |
| 355 | #354 | — | 4 | 1 | no | — |
| 356 | #344 | — | 2 | 1 | no | — |
| 357 | #344 | — | 2 | 1 | no | — |
| 358 | #344 | — | 2 | 1 | no | — |
| 359 | #344 | — | 2 | 1 | no | — |
| 360 | #344 | — | 2 | 1 | no | — |
| 361 | #344 | — | 2 | 1 | no | — |
| 362 | #342 | — | 8 | 2 | no | — |
| 363 | #339 | — | 2 | 1 | no | — |
| 364 | #339 | — | 2 | 1 | no | — |
| 365 | #339 | — | 2 | 1 | no | — |
| 366 | #339 | — | 2 | 1 | no | — |
| 367 | #339 | — | 4 | 4 | no | — |
| 368 | #338 | — | 2 | 1 | no | — |
| 369 | H(3,ℤ/4) | — | 2 | 1 | no | — |
| 370 | H(3,ℤ/4) | — | 2 | 1 | no | — |
| 371 | H(3,ℤ/4) | — | 2 | 1 | no | — |
| 372 | #329 | — | 2 | 2 | no | — |
| 373 | #329 | — | 2 | 2 | no | — |
| 374 | #329 | — | 4 | 1 | no | — |
| 375 | #329 | — | 4 | 1 | no | — |
| 376 | #328 | — | 8 | 2 | no | — |
| 377 | #327 | — | 8 | 2 | no | — |
| 378 | C25 | — | 2 | 1 | no | — |
| 379 | 2−1+4 | — | 4 | 1 | no | — |
| 380 | 2−1+4 | — | 4 | 1 | no | — |
| 381 | 2−1+4 | — | 4 | 1 | no | — |
| 382 | 2−1+4 | — | 4 | 1 | no | — |
| 383 | 2−1+4 | — | 4 | 1 | no | — |
| 384 | 2−1+4 | — | 8 | 1 | no | — |
| 385 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 386 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 387 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 388 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 389 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 390 | H(5,𝔽2) | — | 8 | 1 | no | — |
| 391 | H(5,𝔽2) | — | 8 | 1 | no | — |
| 392 | C2×#41 | — | 2 | 1 | no | — |
| 393 | C2×#41 | — | 2 | 1 | no | — |
| 394 | C2×#41 | — | 2 | 1 | no | — |
| 395 | C2×#41 | — | 4 | 1 | no | — |
| 396 | C2×#41 | — | 4 | 1 | no | — |
| 397 | C2×#41 | — | 4 | 1 | no | — |
| 398 | C2×#41 | — | 4 | 1 | no | — |
| 399 | C2×#41 | — | 8 | 1 | no | — |
| 400 | C2×#41 | — | 8 | 1 | no | — |
| 401 | C2×#41 | — | 8 | 1 | no | — |
| 402 | C22×Q8 | — | 2 | 1 | no | — |
| 403 | C22×Q8 | — | 4 | 1 | no | — |
| 404 | C22×Q8 | — | 4 | 1 | no | — |
| 405 | C22×Q8 | — | 4 | 1 | no | — |
| 406 | C22×Q8 | — | 8 | 1 | no | — |
| 407 | C22×Q8 | — | 8 | 1 | no | — |
| 408 | C22×Q8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 409 | C22×Q8 | #120 | 1 | 1 | yes | characteristic |
| 410 | C22×D4 | — | 2 | 1 | no | — |
| 411 | C22×D4 | — | 4 | 1 | no | — |
| 412 | C22×D4 | — | 4 | 1 | no | — |
| 413 | C22×D4 | — | 4 | 1 | no | — |
| 414 | C22×D4 | — | 4 | 1 | no | — |
| 415 | C22×D4 | — | 4 | 2 | no | — |
| 416 | C22×D4 | — | 8 | 1 | no | — |
| 417 | C22×D4 | — | 8 | 1 | no | — |
| 418 | C22×D4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 419 | C22×D4 | #120 | 1 | 1 | yes | characteristic |
| 420 | C23×C4 | — | 2 | 1 | no | — |
| 421 | C23×C4 | — | 2 | 1 | no | — |
| 422 | C23×C4 | — | 4 | 2 | no | — |
| 423 | C23×C4 | #120 | 1 | 1 | yes | characteristic |
| 424 | #137 | — | 4 | 1 | no | — |
| 425 | #137 | — | 4 | 1 | no | — |
| 426 | #137 | — | 4 | 2 | no | — |
| 427 | #137 | — | 4 | 1 | no | — |
| 428 | #137 | — | 4 | 1 | no | — |
| 429 | #137 | — | 4 | 1 | no | — |
| 430 | #137 | — | 4 | 1 | no | — |
| 431 | #137 | — | 8 | 1 | no | — |
| 432 | #137 | — | 8 | 1 | no | — |
| 433 | #137 | — | 8 | 1 | no | — |
| 434 | #137 | — | 8 | 1 | no | — |
| 435 | #137 | — | 8 | 1 | no | — |
| 436 | #137 | — | 8 | 1 | no | — |
| 437 | #137 | — | 8 | 1 | no | — |
| 438 | #137 | — | 8 | 2 | no | — |
| 439 | #137 | — | 8 | 2 | no | — |
| 440 | #137 | — | 8 | 2 | no | — |
| 441 | #137 | — | 8 | 2 | no | — |
| 442 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 443 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 444 | AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 445 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 446 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 447 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 448 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 449 | AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 450 | AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 451 | AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 452 | AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 453 | AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 454 | AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 455 | AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 456 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 457 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 458 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 459 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 460 | #135 | — | 4 | 2 | no | — |
| 461 | #135 | — | 8 | 1 | no | — |
| 462 | #135 | — | 8 | 1 | no | — |
| 463 | #135 | — | 8 | 2 | no | — |
| 464 | #135 | — | 8 | 2 | no | — |
| 465 | #135 | — | 8 | 2 | no | — |
| 466 | #135 | — | 8 | 2 | no | — |
| 467 | C2×Q16 | — | 2 | 2 | no | — |
| 468 | C2×Q16 | — | 4 | 1 | no | — |
| 469 | C2×Q16 | — | 4 | 1 | no | — |
| 470 | C2×Q16 | — | 4 | 1 | no | — |
| 471 | C2×Q16 | — | 8 | 2 | no | — |
| 472 | C2×SD16 | — | 2 | 2 | no | — |
| 473 | C2×SD16 | — | 2 | 2 | no | — |
| 474 | C2×SD16 | — | 4 | 1 | no | — |
| 475 | C2×SD16 | — | 4 | 1 | no | — |
| 476 | C2×SD16 | — | 4 | 1 | no | — |
| 477 | C2×SD16 | — | 4 | 1 | no | — |
| 478 | C2×SD16 | — | 4 | 1 | no | — |
| 479 | C2×SD16 | — | 4 | 1 | no | — |
| 480 | C2×SD16 | — | 8 | 2 | no | — |
| 481 | C2×SD16 | — | 8 | 2 | no | — |
| 482 | C2×D8 | — | 2 | 2 | no | — |
| 483 | C2×D8 | — | 4 | 1 | no | — |
| 484 | C2×D8 | — | 4 | 1 | no | — |
| 485 | C2×D8 | — | 4 | 1 | no | — |
| 486 | C2×D8 | — | 8 | 2 | no | — |
| 487 | #131 | — | 4 | 2 | no | — |
| 488 | #131 | — | 4 | 2 | no | — |
| 489 | #131 | — | 8 | 1 | no | — |
| 490 | #131 | — | 8 | 1 | no | — |
| 491 | #131 | — | 8 | 1 | no | — |
| 492 | #131 | — | 8 | 1 | no | — |
| 493 | C2×M16 | — | 2 | 1 | no | — |
| 494 | C2×M16 | — | 2 | 1 | no | — |
| 495 | C2×M16 | — | 2 | 1 | no | — |
| 496 | C2×M16 | — | 2 | 1 | no | — |
| 497 | C2×M16 | — | 2 | 1 | no | — |
| 498 | C2×M16 | — | 2 | 1 | no | — |
| 499 | C2×M16 | — | 4 | 2 | no | — |
| 500 | C2×M16 | — | 8 | 1 | no | — |
| 501 | C2×M16 | — | 8 | 1 | no | — |
| 502 | C2×M16 | — | 8 | 1 | no | — |
| 503 | C2×M16 | — | 8 | 1 | no | — |
| 504 | C4⋊Q8 | — | 2 | 1 | no | — |
| 505 | C4⋊Q8 | — | 4 | 1 | no | — |
| 506 | C4⋊Q8 | — | 8 | 1 | no | — |
| 507 | C4⋊Q8 | #99 | 1 | 1 | yes | characteristic, complemented |
| 508 | #127 | — | 4 | 1 | no | — |
| 509 | #127 | #99 | 1 | 1 | yes | characteristic, complemented |
| 510 | #126 | — | 8 | 1 | no | — |
| 511 | #125 | — | 2 | 1 | no | — |
| 512 | #125 | — | 4 | 1 | no | — |
| 513 | #124 | — | 2 | 1 | no | — |
| 514 | #124 | — | 2 | 1 | no | — |
| 515 | #124 | — | 2 | 1 | no | — |
| 516 | #124 | — | 2 | 1 | no | — |
| 517 | #124 | — | 2 | 1 | no | — |
| 518 | #124 | — | 2 | 1 | no | — |
| 519 | #124 | — | 2 | 1 | no | — |
| 520 | #124 | — | 2 | 1 | no | — |
| 521 | #124 | — | 2 | 1 | no | — |
| 522 | #124 | — | 4 | 1 | no | — |
| 523 | #124 | — | 4 | 1 | no | — |
| 524 | #124 | — | 4 | 1 | no | — |
| 525 | #124 | — | 4 | 1 | no | — |
| 526 | #124 | — | 4 | 1 | no | — |
| 527 | #124 | — | 4 | 1 | no | — |
| 528 | #124 | — | 4 | 1 | no | — |
| 529 | #124 | — | 8 | 1 | no | — |
| 530 | #124 | — | 8 | 1 | no | — |
| 531 | #124 | — | 8 | 1 | no | — |
| 532 | #124 | — | 8 | 1 | no | — |
| 533 | #124 | — | 8 | 1 | no | — |
| 534 | #123 | — | 4 | 1 | no | — |
| 535 | #123 | — | 4 | 1 | no | — |
| 536 | #123 | — | 4 | 1 | no | — |
| 537 | #123 | — | 8 | 1 | no | — |
| 538 | #123 | — | 8 | 1 | no | — |
| 539 | #123 | — | 8 | 1 | no | — |
| 540 | C22⋊Q8 | — | 4 | 1 | no | — |
| 541 | C22⋊Q8 | — | 4 | 1 | no | — |
| 542 | C22⋊Q8 | — | 4 | 1 | no | — |
| 543 | C22⋊Q8 | — | 4 | 1 | no | — |
| 544 | C22⋊Q8 | — | 4 | 1 | no | — |
| 545 | C22⋊Q8 | — | 4 | 2 | no | — |
| 546 | C22⋊Q8 | — | 8 | 1 | no | — |
| 547 | C22⋊Q8 | — | 8 | 2 | no | — |
| 548 | #121 | — | 4 | 1 | no | — |
| 549 | #121 | — | 4 | 1 | no | — |
| 550 | #121 | — | 4 | 1 | no | — |
| 551 | #121 | — | 4 | 1 | no | — |
| 552 | #121 | — | 4 | 1 | no | — |
| 553 | #121 | — | 4 | 2 | no | — |
| 554 | #121 | — | 8 | 1 | no | — |
| 555 | #121 | — | 8 | 2 | no | — |
| 556 | #120 | — | 4 | 1 | no | — |
| 557 | #120 | — | 4 | 1 | no | — |
| 558 | #120 | — | 4 | 1 | no | — |
| 559 | #120 | — | 8 | 1 | no | — |
| 560 | #120 | — | 8 | 2 | no | — |
| 561 | #120 | — | 8 | 1 | no | — |
| 562 | C4×Q8 | — | 4 | 1 | no | — |
| 563 | C4×Q8 | — | 4 | 1 | no | — |
| 564 | C4×Q8 | — | 4 | 1 | no | — |
| 565 | C4×Q8 | — | 8 | 1 | no | — |
| 566 | C4×D4 | — | 4 | 1 | no | — |
| 567 | C4×D4 | — | 4 | 1 | no | — |
| 568 | C4×D4 | — | 4 | 1 | no | — |
| 569 | C4×D4 | — | 8 | 1 | no | — |
| 570 | C4×D4 | — | 8 | 1 | no | — |
| 571 | C4×D4 | — | 8 | 1 | no | — |
| 572 | C4×D4 | — | 8 | 1 | no | — |
| 573 | C4×D4 | — | 8 | 1 | no | — |
| 574 | C4×D4 | — | 8 | 1 | no | — |
| 575 | C4×D4 | — | 8 | 2 | no | — |
| 576 | #117 | — | 2 | 1 | no | — |
| 577 | #117 | — | 2 | 1 | no | — |
| 578 | #117 | — | 2 | 1 | no | — |
| 579 | #117 | — | 4 | 1 | no | — |
| 580 | #117 | — | 4 | 1 | no | — |
| 581 | #117 | — | 4 | 1 | no | — |
| 582 | #117 | — | 8 | 1 | no | — |
| 583 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 584 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 585 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 586 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 587 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 588 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 589 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 590 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 591 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 592 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 593 | C2×C22⋊C4 | — | 8 | 2 | no | — |
| 594 | C2×C22⋊C4 | — | 8 | 4 | no | — |
| 595 | C2×C22⋊C4 | — | 8 | 4 | no | — |
| 596 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 597 | C2×C22⋊C4 | — | 8 | 2 | no | — |
| 598 | C2×C22⋊C4 | — | 16 | 1 | no | — |
| 599 | C2×C42 | — | 2 | 1 | no | — |
| 600 | C2×C42 | — | 2 | 1 | no | — |
| 601 | C2×C42 | — | 2 | 1 | no | — |
| 602 | C2×C42 | — | 2 | 1 | no | — |
| 603 | C2×C42 | — | 2 | 1 | no | — |
| 604 | C2×C42 | — | 4 | 2 | no | — |
| 605 | C2×C42 | — | 4 | 2 | no | — |
| 606 | C2×C42 | — | 4 | 1 | no | — |
| 607 | C2×C42 | — | 8 | 4 | no | — |
| 608 | C2×C42 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 609 | C2×C42 | #120 | 1 | 1 | yes | characteristic |
| 610 | #108 | — | 4 | 2 | no | — |
| 611 | #108 | — | 8 | 1 | no | — |
| 612 | #108 | — | 8 | 1 | no | — |
| 613 | C4⋊C8 | — | 4 | 2 | no | — |
| 614 | C4⋊C8 | — | 8 | 1 | no | — |
| 615 | C4⋊C8 | — | 8 | 1 | no | — |
| 616 | #104 | — | 4 | 1 | no | — |
| 617 | #104 | — | 4 | 1 | no | — |
| 618 | #104 | — | 4 | 1 | no | — |
| 619 | #104 | — | 4 | 1 | no | — |
| 620 | #104 | — | 4 | 1 | no | — |
| 621 | #104 | — | 4 | 1 | no | — |
| 622 | #104 | — | 4 | 1 | no | — |
| 623 | #104 | — | 4 | 1 | no | — |
| 624 | #104 | — | 8 | 1 | no | — |
| 625 | #104 | — | 8 | 1 | no | — |
| 626 | #104 | — | 8 | 1 | no | — |
| 627 | #104 | — | 8 | 1 | no | — |
| 628 | #104 | — | 8 | 1 | no | — |
| 629 | #104 | — | 8 | 1 | no | — |
| 630 | #104 | — | 8 | 8 | no | — |
| 631 | #103 | — | 4 | 2 | no | — |
| 632 | #103 | — | 4 | 2 | no | — |
| 633 | #103 | — | 8 | 1 | no | — |
| 634 | #103 | — | 8 | 1 | no | — |
| 635 | #102 | — | 4 | 2 | no | — |
| 636 | #102 | — | 4 | 2 | no | — |
| 637 | #102 | — | 8 | 1 | no | — |
| 638 | #102 | — | 8 | 1 | no | — |
| 639 | #101 | — | 4 | 1 | no | — |
| 640 | #101 | — | 4 | 1 | no | — |
| 641 | #101 | — | 4 | 1 | no | — |
| 642 | #101 | — | 4 | 1 | no | — |
| 643 | #101 | — | 4 | 1 | no | — |
| 644 | #101 | — | 8 | 1 | no | — |
| 645 | #101 | — | 8 | 1 | no | — |
| 646 | #101 | — | 8 | 1 | no | — |
| 647 | #101 | — | 16 | 1 | no | — |
| 648 | #100 | — | 4 | 1 | no | — |
| 649 | #100 | — | 4 | 1 | no | — |
| 650 | #100 | — | 4 | 1 | no | — |
| 651 | #100 | — | 4 | 1 | no | — |
| 652 | #100 | — | 4 | 1 | no | — |
| 653 | #100 | — | 8 | 1 | no | — |
| 654 | #99 | — | 8 | 1 | no | — |
| 655 | #99 | — | 8 | 1 | no | — |
| 656 | #99 | — | 8 | 1 | no | — |
| 657 | #99 | — | 8 | 1 | no | — |
| 658 | #99 | — | 8 | 1 | no | — |
| 659 | #99 | — | 16 | 4 | no | — |
| 660 | #99 | — | 16 | 1 | no | — |
| 661 | C22⋊C8 | — | 4 | 2 | no | — |
| 662 | C22⋊C8 | — | 8 | 1 | no | — |
| 663 | C22⋊C8 | — | 8 | 1 | no | — |
| 664 | C22⋊C8 | — | 8 | 1 | no | — |
| 665 | C22⋊C8 | — | 8 | 1 | no | — |
| 666 | C22⋊C8 | — | 8 | 2 | no | — |
| 667 | #97 | — | 2 | 1 | no | — |
| 668 | #97 | — | 2 | 1 | no | — |
| 669 | #97 | — | 4 | 2 | no | — |
| 670 | C4×C8 | — | 2 | 1 | no | — |
| 671 | C4×C8 | — | 4 | 2 | no | — |
| 672 | C4×C8 | #99 | 1 | 2 | yes | complemented |
| 673 | #95 | — | 8 | 1 | no | — |
| 674 | #95 | — | 8 | 1 | no | — |
| 675 | #95 | — | 8 | 1 | no | — |
| 676 | #95 | — | 8 | 1 | no | — |
| 677 | #95 | — | 8 | 2 | no | — |
| 678 | #95 | — | 16 | 1 | no | — |
| 679 | C24 | — | 2 | 1 | no | — |
| 680 | C24 | — | 2 | 1 | no | — |
| 681 | C24 | — | 4 | 2 | no | — |
| 682 | C24 | — | 4 | 1 | no | — |
| 683 | C24 | — | 8 | 1 | no | — |
| 684 | C24 | — | 8 | 1 | no | — |
| 685 | C24 | — | 8 | 2 | no | — |
| 686 | C24 | — | 8 | 2 | no | — |
| 687 | C24 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 688 | #41 | — | 4 | 1 | no | — |
| 689 | #41 | — | 4 | 1 | no | — |
| 690 | #41 | — | 4 | 1 | no | — |
| 691 | #41 | — | 4 | 1 | no | — |
| 692 | #41 | — | 4 | 1 | no | — |
| 693 | #41 | — | 4 | 1 | no | — |
| 694 | #41 | — | 4 | 1 | no | — |
| 695 | #41 | — | 4 | 1 | no | — |
| 696 | #41 | — | 4 | 1 | no | — |
| 697 | #41 | — | 4 | 1 | no | — |
| 698 | #41 | — | 4 | 1 | no | — |
| 699 | #41 | — | 4 | 1 | no | — |
| 700 | #41 | — | 8 | 4 | no | — |
| 701 | #41 | — | 8 | 1 | no | — |
| 702 | #41 | — | 8 | 1 | no | — |
| 703 | #41 | — | 8 | 2 | no | — |
| 704 | #41 | — | 8 | 2 | no | — |
| 705 | #41 | — | 8 | 1 | no | — |
| 706 | #41 | — | 8 | 1 | no | — |
| 707 | #41 | — | 8 | 1 | no | — |
| 708 | #41 | — | 8 | 1 | no | — |
| 709 | #41 | — | 16 | 1 | no | — |
| 710 | #41 | — | 16 | 1 | no | — |
| 711 | #41 | — | 16 | 1 | no | — |
| 712 | #41 | — | 16 | 1 | no | — |
| 713 | #41 | — | 16 | 1 | no | — |
| 714 | #41 | — | 16 | 1 | no | — |
| 715 | #41 | — | 16 | 1 | no | — |
| 716 | #41 | — | 16 | 1 | no | — |
| 717 | C2×Q8 | — | 2 | 1 | no | — |
| 718 | C2×Q8 | — | 2 | 1 | no | — |
| 719 | C2×Q8 | — | 2 | 1 | no | — |
| 720 | C2×Q8 | — | 2 | 1 | no | — |
| 721 | C2×Q8 | — | 2 | 1 | no | — |
| 722 | C2×Q8 | — | 2 | 1 | no | — |
| 723 | C2×Q8 | — | 2 | 1 | no | — |
| 724 | C2×Q8 | — | 4 | 1 | no | — |
| 725 | C2×Q8 | — | 4 | 1 | no | — |
| 726 | C2×Q8 | — | 4 | 1 | no | — |
| 727 | C2×Q8 | — | 4 | 1 | no | — |
| 728 | C2×Q8 | — | 4 | 1 | no | — |
| 729 | C2×Q8 | — | 4 | 1 | no | — |
| 730 | C2×Q8 | — | 8 | 1 | no | — |
| 731 | C2×Q8 | — | 8 | 1 | no | — |
| 732 | C2×Q8 | — | 8 | 1 | no | — |
| 733 | C2×Q8 | — | 8 | 1 | no | — |
| 734 | C2×Q8 | — | 8 | 2 | no | — |
| 735 | C2×Q8 | — | 8 | 1 | no | — |
| 736 | C2×Q8 | — | 8 | 1 | no | — |
| 737 | C2×Q8 | — | 16 | 1 | no | — |
| 738 | C2×Q8 | — | 16 | 2 | no | — |
| 739 | C2×Q8 | — | 16 | 2 | no | — |
| 740 | C2×D4 | — | 2 | 1 | no | — |
| 741 | C2×D4 | — | 2 | 1 | no | — |
| 742 | C2×D4 | — | 2 | 1 | no | — |
| 743 | C2×D4 | — | 2 | 1 | no | — |
| 744 | C2×D4 | — | 2 | 1 | no | — |
| 745 | C2×D4 | — | 2 | 1 | no | — |
| 746 | C2×D4 | — | 2 | 1 | no | — |
| 747 | C2×D4 | — | 4 | 1 | no | — |
| 748 | C2×D4 | — | 4 | 1 | no | — |
| 749 | C2×D4 | — | 4 | 1 | no | — |
| 750 | C2×D4 | — | 4 | 1 | no | — |
| 751 | C2×D4 | — | 4 | 1 | no | — |
| 752 | C2×D4 | — | 4 | 1 | no | — |
| 753 | C2×D4 | — | 4 | 1 | no | — |
| 754 | C2×D4 | — | 4 | 1 | no | — |
| 755 | C2×D4 | — | 4 | 1 | no | — |
| 756 | C2×D4 | — | 8 | 1 | no | — |
| 757 | C2×D4 | — | 8 | 1 | no | — |
| 758 | C2×D4 | — | 8 | 1 | no | — |
| 759 | C2×D4 | — | 8 | 1 | no | — |
| 760 | C2×D4 | — | 8 | 1 | no | — |
| 761 | C2×D4 | — | 8 | 2 | no | — |
| 762 | C2×D4 | — | 8 | 1 | no | — |
| 763 | C2×D4 | — | 8 | 1 | no | — |
| 764 | C2×D4 | — | 8 | 1 | no | — |
| 765 | C2×D4 | — | 8 | 1 | no | — |
| 766 | C2×D4 | — | 8 | 1 | no | — |
| 767 | C2×D4 | — | 8 | 2 | no | — |
| 768 | C2×D4 | — | 16 | 1 | no | — |
| 769 | C2×D4 | — | 16 | 2 | no | — |
| 770 | C2×D4 | — | 16 | 2 | no | — |
| 771 | C2×D4 | — | 16 | 1 | no | — |
| 772 | C2×D4 | — | 16 | 1 | no | — |
| 773 | C2×D4 | — | 16 | 1 | no | — |
| 774 | C2×D4 | — | 16 | 1 | no | — |
| 775 | C2×D4 | — | 16 | 1 | no | — |
| 776 | C2×D4 | — | 16 | 2 | no | — |
| 777 | C2×D4 | — | 16 | 2 | no | — |
| 778 | C22×C4 | — | 2 | 1 | no | — |
| 779 | C22×C4 | — | 2 | 1 | no | — |
| 780 | C22×C4 | — | 2 | 1 | no | — |
| 781 | C22×C4 | — | 2 | 1 | no | — |
| 782 | C22×C4 | — | 2 | 1 | no | — |
| 783 | C22×C4 | — | 2 | 1 | no | — |
| 784 | C22×C4 | — | 2 | 1 | no | — |
| 785 | C22×C4 | — | 2 | 1 | no | — |
| 786 | C22×C4 | — | 2 | 1 | no | — |
| 787 | C22×C4 | — | 2 | 1 | no | — |
| 788 | C22×C4 | — | 4 | 1 | no | — |
| 789 | C22×C4 | — | 4 | 1 | no | — |
| 790 | C22×C4 | — | 4 | 1 | no | — |
| 791 | C22×C4 | — | 4 | 1 | no | — |
| 792 | C22×C4 | — | 4 | 2 | no | — |
| 793 | C22×C4 | — | 4 | 1 | no | — |
| 794 | C22×C4 | — | 4 | 1 | no | — |
| 795 | C22×C4 | — | 4 | 4 | no | — |
| 796 | C22×C4 | — | 4 | 2 | no | — |
| 797 | C22×C4 | — | 8 | 1 | no | — |
| 798 | C22×C4 | — | 8 | 2 | no | — |
| 799 | C22×C4 | — | 8 | 1 | no | — |
| 800 | C22×C4 | — | 8 | 1 | no | — |
| 801 | C22×C4 | — | 8 | 1 | no | — |
| 802 | C22×C4 | — | 8 | 2 | no | — |
| 803 | C22×C4 | — | 8 | 2 | no | — |
| 804 | C22×C4 | — | 8 | 2 | no | — |
| 805 | C22×C4 | — | 8 | 2 | no | — |
| 806 | C22×C4 | — | 8 | 2 | no | — |
| 807 | C22×C4 | — | 8 | 2 | no | — |
| 808 | C22×C4 | — | 16 | 1 | no | — |
| 809 | C22×C4 | — | 16 | 1 | no | — |
| 810 | C22×C4 | #379 | 1 | 1 | yes | characteristic |
| 811 | C22×C4 | #458 | 1 | 1 | yes | characteristic |
| 812 | Q16 | — | 4 | 2 | no | — |
| 813 | Q16 | — | 8 | 2 | no | — |
| 814 | Q16 | — | 8 | 2 | no | — |
| 815 | Q16 | — | 8 | 1 | no | — |
| 816 | Q16 | — | 8 | 1 | no | — |
| 817 | Q16 | — | 16 | 1 | no | — |
| 818 | Q16 | — | 16 | 1 | no | — |
| 819 | SD16 | — | 4 | 2 | no | — |
| 820 | SD16 | — | 4 | 2 | no | — |
| 821 | SD16 | — | 8 | 2 | no | — |
| 822 | SD16 | — | 8 | 2 | no | — |
| 823 | SD16 | — | 8 | 2 | no | — |
| 824 | SD16 | — | 8 | 2 | no | — |
| 825 | SD16 | — | 8 | 1 | no | — |
| 826 | SD16 | — | 8 | 1 | no | — |
| 827 | SD16 | — | 8 | 1 | no | — |
| 828 | SD16 | — | 8 | 1 | no | — |
| 829 | SD16 | — | 16 | 1 | no | — |
| 830 | SD16 | — | 16 | 1 | no | — |
| 831 | SD16 | — | 16 | 1 | no | — |
| 832 | SD16 | — | 16 | 1 | no | — |
| 833 | D8 | — | 4 | 2 | no | — |
| 834 | D8 | — | 8 | 2 | no | — |
| 835 | D8 | — | 8 | 2 | no | — |
| 836 | D8 | — | 8 | 1 | no | — |
| 837 | D8 | — | 8 | 1 | no | — |
| 838 | D8 | — | 16 | 1 | no | — |
| 839 | D8 | — | 16 | 1 | no | — |
| 840 | M16 | — | 4 | 1 | no | — |
| 841 | M16 | — | 4 | 1 | no | — |
| 842 | M16 | — | 4 | 1 | no | — |
| 843 | M16 | — | 4 | 1 | no | — |
| 844 | M16 | — | 4 | 1 | no | — |
| 845 | M16 | — | 4 | 1 | no | — |
| 846 | M16 | — | 4 | 1 | no | — |
| 847 | M16 | — | 4 | 1 | no | — |
| 848 | M16 | — | 4 | 1 | no | — |
| 849 | M16 | — | 4 | 1 | no | — |
| 850 | M16 | — | 4 | 1 | no | — |
| 851 | M16 | — | 4 | 1 | no | — |
| 852 | M16 | — | 8 | 2 | no | — |
| 853 | M16 | — | 8 | 2 | no | — |
| 854 | M16 | — | 8 | 4 | no | — |
| 855 | M16 | — | 16 | 1 | no | — |
| 856 | M16 | — | 16 | 1 | no | — |
| 857 | M16 | — | 16 | 1 | no | — |
| 858 | C2×C8 | — | 2 | 2 | no | — |
| 859 | C2×C8 | — | 4 | 1 | no | — |
| 860 | C2×C8 | — | 4 | 1 | no | — |
| 861 | C2×C8 | — | 4 | 1 | no | — |
| 862 | C2×C8 | — | 4 | 1 | no | — |
| 863 | C2×C8 | — | 4 | 1 | no | — |
| 864 | C2×C8 | — | 8 | 2 | no | — |
| 865 | C2×C8 | — | 8 | 2 | no | — |
| 866 | C2×C8 | — | 8 | 2 | no | — |
| 867 | C2×C8 | — | 16 | 1 | no | — |
| 868 | C2×C8 | — | 16 | 1 | no | — |
| 869 | C4⋊C4 | — | 4 | 1 | no | — |
| 870 | C4⋊C4 | — | 4 | 1 | no | — |
| 871 | C4⋊C4 | — | 4 | 1 | no | — |
| 872 | C4⋊C4 | — | 4 | 1 | no | — |
| 873 | C4⋊C4 | — | 4 | 2 | no | — |
| 874 | C4⋊C4 | — | 4 | 1 | no | — |
| 875 | C4⋊C4 | — | 8 | 1 | no | — |
| 876 | C4⋊C4 | — | 8 | 1 | no | — |
| 877 | C4⋊C4 | — | 8 | 1 | no | — |
| 878 | C4⋊C4 | — | 8 | 1 | no | — |
| 879 | C4⋊C4 | — | 8 | 1 | no | — |
| 880 | C4⋊C4 | — | 8 | 2 | no | — |
| 881 | C22⋊C4 | — | 4 | 1 | no | — |
| 882 | C22⋊C4 | — | 4 | 1 | no | — |
| 883 | C22⋊C4 | — | 4 | 1 | no | — |
| 884 | C22⋊C4 | — | 8 | 1 | no | — |
| 885 | C22⋊C4 | — | 8 | 1 | no | — |
| 886 | C22⋊C4 | — | 8 | 1 | no | — |
| 887 | C22⋊C4 | — | 8 | 1 | no | — |
| 888 | C22⋊C4 | — | 8 | 1 | no | — |
| 889 | C22⋊C4 | — | 8 | 1 | no | — |
| 890 | C22⋊C4 | — | 8 | 1 | no | — |
| 891 | C22⋊C4 | — | 8 | 1 | no | — |
| 892 | C22⋊C4 | — | 8 | 1 | no | — |
| 893 | C22⋊C4 | — | 8 | 1 | no | — |
| 894 | C22⋊C4 | — | 8 | 1 | no | — |
| 895 | C22⋊C4 | — | 8 | 1 | no | — |
| 896 | C22⋊C4 | — | 8 | 1 | no | — |
| 897 | C22⋊C4 | — | 8 | 1 | no | — |
| 898 | C22⋊C4 | — | 8 | 1 | no | — |
| 899 | C22⋊C4 | — | 8 | 1 | no | — |
| 900 | C22⋊C4 | — | 8 | 2 | no | — |
| 901 | C22⋊C4 | — | 8 | 2 | no | — |
| 902 | C22⋊C4 | — | 8 | 1 | no | — |
| 903 | C22⋊C4 | — | 8 | 4 | no | — |
| 904 | C22⋊C4 | — | 16 | 2 | no | — |
| 905 | C22⋊C4 | — | 16 | 4 | no | — |
| 906 | C22⋊C4 | — | 16 | 1 | no | — |
| 907 | C22⋊C4 | — | 16 | 1 | no | — |
| 908 | C22⋊C4 | — | 16 | 2 | no | — |
| 909 | C22⋊C4 | — | 16 | 2 | no | — |
| 910 | C42 | — | 2 | 1 | no | — |
| 911 | C42 | — | 2 | 1 | no | — |
| 912 | C42 | — | 2 | 1 | no | — |
| 913 | C42 | — | 2 | 1 | no | — |
| 914 | C42 | — | 2 | 1 | no | — |
| 915 | C42 | — | 2 | 1 | no | — |
| 916 | C42 | — | 4 | 1 | no | — |
| 917 | C42 | — | 4 | 1 | no | — |
| 918 | C42 | — | 4 | 4 | no | — |
| 919 | C42 | — | 4 | 4 | no | — |
| 920 | C42 | — | 4 | 1 | no | — |
| 921 | C42 | — | 8 | 1 | no | — |
| 922 | C42 | — | 8 | 1 | no | — |
| 923 | C42 | — | 8 | 2 | no | — |
| 924 | C42 | — | 8 | 2 | no | — |
| 925 | C42 | C2×#99 | 1 | 1 | yes | characteristic |
| 926 | C42 | C2×#99 | 1 | 1 | yes | characteristic |
| 927 | C42 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 928 | C42 | #458 | 1 | 1 | yes | characteristic |
| 929 | C23 | — | 2 | 1 | no | — |
| 930 | C23 | — | 2 | 1 | no | — |
| 931 | C23 | — | 2 | 1 | no | — |
| 932 | C23 | — | 4 | 2 | no | — |
| 933 | C23 | — | 4 | 1 | no | — |
| 934 | C23 | — | 4 | 1 | no | — |
| 935 | C23 | — | 4 | 1 | no | — |
| 936 | C23 | — | 4 | 1 | no | — |
| 937 | C23 | — | 4 | 1 | no | — |
| 938 | C23 | — | 4 | 1 | no | — |
| 939 | C23 | — | 4 | 1 | no | — |
| 940 | C23 | — | 4 | 1 | no | — |
| 941 | C23 | — | 4 | 1 | no | — |
| 942 | C23 | — | 8 | 2 | no | — |
| 943 | C23 | — | 8 | 2 | no | — |
| 944 | C23 | — | 8 | 2 | no | — |
| 945 | C23 | — | 8 | 2 | no | — |
| 946 | C23 | — | 16 | 2 | no | — |
| 947 | C23 | — | 16 | 2 | no | — |
| 948 | C23 | — | 16 | 2 | no | — |
| 949 | C23 | — | 16 | 2 | no | — |
| 950 | C23 | — | 16 | 1 | no | — |
| 951 | C23 | — | 16 | 1 | no | — |
| 952 | C23 | — | 16 | 1 | no | — |
| 953 | C23 | — | 16 | 1 | no | — |
| 954 | C23 | — | 16 | 1 | no | — |
| 955 | C23 | — | 16 | 1 | no | — |
| 956 | C23 | — | 16 | 2 | no | — |
| 957 | C23 | #1790 | 1 | 1 | yes | characteristic |
| 958 | Q8 | — | 4 | 1 | no | — |
| 959 | Q8 | — | 4 | 1 | no | — |
| 960 | Q8 | — | 4 | 1 | no | — |
| 961 | Q8 | — | 4 | 2 | no | — |
| 962 | Q8 | — | 4 | 1 | no | — |
| 963 | Q8 | — | 4 | 1 | no | — |
| 964 | Q8 | — | 4 | 1 | no | — |
| 965 | Q8 | — | 8 | 1 | no | — |
| 966 | Q8 | — | 8 | 1 | no | — |
| 967 | Q8 | — | 8 | 1 | no | — |
| 968 | Q8 | — | 8 | 2 | no | — |
| 969 | Q8 | — | 16 | 2 | no | — |
| 970 | Q8 | — | 16 | 1 | no | — |
| 971 | Q8 | — | 16 | 1 | no | — |
| 972 | D4 | — | 4 | 1 | no | — |
| 973 | D4 | — | 4 | 1 | no | — |
| 974 | D4 | — | 4 | 1 | no | — |
| 975 | D4 | — | 4 | 2 | no | — |
| 976 | D4 | — | 4 | 1 | no | — |
| 977 | D4 | — | 4 | 1 | no | — |
| 978 | D4 | — | 4 | 1 | no | — |
| 979 | D4 | — | 8 | 1 | no | — |
| 980 | D4 | — | 8 | 1 | no | — |
| 981 | D4 | — | 8 | 1 | no | — |
| 982 | D4 | — | 8 | 2 | no | — |
| 983 | D4 | — | 8 | 1 | no | — |
| 984 | D4 | — | 8 | 1 | no | — |
| 985 | D4 | — | 8 | 1 | no | — |
| 986 | D4 | — | 8 | 1 | no | — |
| 987 | D4 | — | 8 | 1 | no | — |
| 988 | D4 | — | 8 | 1 | no | — |
| 989 | D4 | — | 16 | 2 | no | — |
| 990 | D4 | — | 16 | 1 | no | — |
| 991 | D4 | — | 16 | 2 | no | — |
| 992 | D4 | — | 16 | 1 | no | — |
| 993 | D4 | — | 16 | 1 | no | — |
| 994 | D4 | — | 16 | 1 | no | — |
| 995 | D4 | — | 16 | 2 | no | — |
| 996 | D4 | — | 16 | 2 | no | — |
| 997 | D4 | — | 16 | 2 | no | — |
| 998 | D4 | — | 32 | 2 | no | — |
| 999 | C2×C4 | — | 2 | 1 | no | — |
| 1000 | C2×C4 | — | 2 | 1 | no | — |
| 1001 | C2×C4 | — | 2 | 1 | no | — |
| 1002 | C2×C4 | — | 2 | 1 | no | — |
| 1003 | C2×C4 | — | 2 | 1 | no | — |
| 1004 | C2×C4 | — | 2 | 1 | no | — |
| 1005 | C2×C4 | — | 2 | 1 | no | — |
| 1006 | C2×C4 | — | 2 | 1 | no | — |
| 1007 | C2×C4 | — | 2 | 1 | no | — |
| 1008 | C2×C4 | — | 4 | 2 | no | — |
| 1009 | C2×C4 | — | 4 | 2 | no | — |
| 1010 | C2×C4 | — | 4 | 1 | no | — |
| 1011 | C2×C4 | — | 4 | 1 | no | — |
| 1012 | C2×C4 | — | 4 | 1 | no | — |
| 1013 | C2×C4 | — | 4 | 1 | no | — |
| 1014 | C2×C4 | — | 4 | 1 | no | — |
| 1015 | C2×C4 | — | 4 | 1 | no | — |
| 1016 | C2×C4 | — | 4 | 1 | no | — |
| 1017 | C2×C4 | — | 4 | 1 | no | — |
| 1018 | C2×C4 | — | 4 | 1 | no | — |
| 1019 | C2×C4 | — | 8 | 1 | no | — |
| 1020 | C2×C4 | — | 8 | 1 | no | — |
| 1021 | C2×C4 | — | 8 | 1 | no | — |
| 1022 | C2×C4 | — | 8 | 1 | no | — |
| 1023 | C2×C4 | — | 8 | 1 | no | — |
| 1024 | C2×C4 | — | 8 | 1 | no | — |
| 1025 | C2×C4 | — | 8 | 1 | no | — |
| 1026 | C2×C4 | — | 8 | 1 | no | — |
| 1027 | C2×C4 | — | 8 | 1 | no | — |
| 1028 | C2×C4 | — | 8 | 1 | no | — |
| 1029 | C2×C4 | — | 8 | 1 | no | — |
| 1030 | C2×C4 | — | 8 | 1 | no | — |
| 1031 | C2×C4 | — | 8 | 4 | no | — |
| 1032 | C2×C4 | — | 8 | 4 | no | — |
| 1033 | C2×C4 | — | 8 | 4 | no | — |
| 1034 | C2×C4 | — | 8 | 1 | no | — |
| 1035 | C2×C4 | — | 8 | 1 | no | — |
| 1036 | C2×C4 | — | 8 | 1 | no | — |
| 1037 | C2×C4 | — | 16 | 2 | no | — |
| 1038 | C2×C4 | — | 16 | 2 | no | — |
| 1039 | C2×C4 | — | 16 | 2 | no | — |
| 1040 | C2×C4 | — | 16 | 1 | no | — |
| 1041 | C2×C4 | — | 16 | 1 | no | — |
| 1042 | C2×C4 | — | 16 | 1 | no | — |
| 1043 | C2×C4 | — | 16 | 1 | no | — |
| 1044 | C2×C4 | — | 16 | 2 | no | — |
| 1045 | C2×C4 | — | 16 | 2 | no | — |
| 1046 | C2×C4 | — | 16 | 2 | no | — |
| 1047 | C2×C4 | — | 16 | 2 | no | — |
| 1048 | C2×C4 | — | 16 | 2 | no | — |
| 1049 | C2×C4 | — | 32 | 2 | no | — |
| 1050 | C2×C4 | — | 32 | 1 | no | — |
| 1051 | C2×C4 | #1781 | 1 | 1 | yes | characteristic |
| 1052 | C2×C4 | #1790 | 1 | 1 | yes | characteristic |
| 1053 | C8 | — | 4 | 2 | no | — |
| 1054 | C8 | — | 8 | 1 | no | — |
| 1055 | C8 | — | 8 | 1 | no | — |
| 1056 | C8 | — | 8 | 1 | no | — |
| 1057 | C8 | — | 8 | 1 | no | — |
| 1058 | C8 | — | 8 | 1 | no | — |
| 1059 | C8 | — | 16 | 2 | no | — |
| 1060 | C8 | — | 32 | 1 | no | — |
| 1061 | C22 | — | 2 | 2 | no | — |
| 1062 | C22 | — | 2 | 2 | no | — |
| 1063 | C22 | — | 2 | 2 | no | — |
| 1064 | C22 | — | 4 | 1 | no | — |
| 1065 | C22 | — | 4 | 1 | no | — |
| 1066 | C22 | — | 4 | 1 | no | — |
| 1067 | C22 | — | 4 | 1 | no | — |
| 1068 | C22 | — | 4 | 1 | no | — |
| 1069 | C22 | — | 8 | 2 | no | — |
| 1070 | C22 | — | 8 | 2 | no | — |
| 1071 | C22 | — | 8 | 1 | no | — |
| 1072 | C22 | — | 8 | 1 | no | — |
| 1073 | C22 | — | 8 | 1 | no | — |
| 1074 | C22 | — | 8 | 1 | no | — |
| 1075 | C22 | — | 8 | 1 | no | — |
| 1076 | C22 | — | 16 | 1 | no | — |
| 1077 | C22 | — | 16 | 1 | no | — |
| 1078 | C22 | — | 16 | 1 | no | — |
| 1079 | C22 | — | 16 | 1 | no | — |
| 1080 | C22 | — | 16 | 1 | no | — |
| 1081 | C22 | — | 16 | 1 | no | — |
| 1082 | C22 | — | 16 | 1 | no | — |
| 1083 | C22 | — | 32 | 2 | no | — |
| 1084 | C22 | — | 32 | 2 | no | — |
| 1085 | C22 | — | 64 | 1 | no | — |
| 1086 | C22 | — | 64 | 1 | no | — |
| 1087 | C22 | #8534 | 1 | 1 | yes | characteristic |
| 1088 | C22 | #12753 | 1 | 1 | yes | characteristic |
| 1089 | C22 | #12753 | 1 | 1 | yes | characteristic |
| 1090 | C4 | — | 2 | 1 | no | — |
| 1091 | C4 | — | 2 | 1 | no | — |
| 1092 | C4 | — | 4 | 1 | no | — |
| 1093 | C4 | — | 4 | 1 | no | — |
| 1094 | C4 | — | 4 | 1 | no | — |
| 1095 | C4 | — | 4 | 1 | no | — |
| 1096 | C4 | — | 4 | 1 | no | — |
| 1097 | C4 | — | 8 | 1 | no | — |
| 1098 | C4 | — | 8 | 1 | no | — |
| 1099 | C4 | — | 8 | 1 | no | — |
| 1100 | C4 | — | 8 | 1 | no | — |
| 1101 | C4 | — | 8 | 1 | no | — |
| 1102 | C4 | — | 16 | 1 | no | — |
| 1103 | C4 | — | 16 | 1 | no | — |
| 1104 | C4 | — | 16 | 1 | no | — |
| 1105 | C4 | — | 16 | 4 | no | — |
| 1106 | C4 | — | 64 | 1 | no | — |
| 1107 | C2 | — | 2 | 1 | no | — |
| 1108 | C2 | — | 2 | 1 | no | — |
| 1109 | C2 | — | 2 | 1 | no | — |
| 1110 | C2 | — | 4 | 2 | no | — |
| 1111 | C2 | — | 16 | 1 | no | — |
| 1112 | C2 | — | 16 | 1 | no | — |
| 1113 | C2 | — | 16 | 1 | no | — |
| 1114 | C2 | — | 16 | 1 | no | — |
| 1115 | C2 | — | 16 | 1 | no | — |
| 1116 | C2 | #133356 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #133356 |
| commutator | C2×#124 | C22×C4 |
| Frattini, cosocle | C22×#124 | C23 |
| prime radical | #7487868 | C2 |
| LCS | G ▷ C2×#124 ▷ C22×C4 ▷ C22 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C23 ◁ C23×C4 ◁ C22×#124 ◁ G | |
| LECS | G ▷ C22×#124 ▷ C22×C4 ▷ C22 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #152681 | C2 | semidirect |
| 3. #152675 | C2 | semidirect |
| 4. #152093 | C2 | semidirect |
| 5. #139785 | C2 | semidirect |
| 6. #139777 | C2 | semidirect |
| 7. #114858 | C2 | semidirect |
| 8. #61109 | C4 | semidirect |
| 12. #31284 | C4 | semidirect |
| 13. #31283 | C4 | semidirect |
| 26. #23362 | C4 | semidirect |
| 28. #17666 | C22 | semidirect |
| 29. #14169 | C22 | semidirect |
| 34. #12699 | C22 | semidirect |
| 35. #12694 | C22 | semidirect |
| 507. C4⋊Q8 | #99 | semidirect |
| 509. #127 | #99 | semidirect |
| 672. C4×C8 | #99 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #7487868 | 2 |
| #152681 | 2 |
| #152675 | 2 |
| #152093 | 2 |
| #139785 | 2 |
| #139777 | 2 |
| #114858 | 2 |