Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
940 conjugacy classes of subgroups.
The subgroup lattice has 870 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #7624864 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #512993 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #512991 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #505707 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #151511 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #151509 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #151495 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #151493 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #150879 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #150878 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #149672 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #62324 | — | 2 | 1 | no | — |
| 13 | #33917 | — | 2 | 1 | no | — |
| 14 | #33912 | — | 2 | 1 | no | — |
| 15 | #33885 | — | 2 | 1 | no | — |
| 16 | #33878 | — | 2 | 1 | no | — |
| 17 | #33876 | — | 2 | 1 | no | — |
| 18 | #33873 | — | 2 | 1 | no | — |
| 19 | #33834 | — | 2 | 1 | no | — |
| 20 | #33830 | — | 2 | 1 | no | — |
| 21 | #33822 | C22 | 1 | 1 | yes | characteristic |
| 22 | #33819 | C22 | 1 | 1 | yes | characteristic |
| 23 | #33770 | C22 | 1 | 1 | yes | characteristic |
| 24 | #33765 | C22 | 1 | 1 | yes | characteristic |
| 25 | #33764 | — | 2 | 1 | no | — |
| 26 | #33746 | — | 2 | 1 | no | — |
| 27 | #33612 | — | 2 | 1 | no | — |
| 28 | #33611 | C22 | 1 | 1 | yes | characteristic |
| 29 | #33607 | C22 | 1 | 1 | yes | characteristic |
| 30 | #33435 | C22 | 1 | 1 | yes | characteristic |
| 31 | #33414 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #27693 | — | 2 | 1 | no | — |
| 33 | #13718 | — | 2 | 1 | no | — |
| 34 | #13718 | C22 | 1 | 2 | yes | complemented |
| 35 | #13717 | — | 2 | 1 | no | — |
| 36 | #13717 | — | 2 | 1 | no | — |
| 37 | #13717 | — | 2 | 1 | no | — |
| 38 | #13717 | C22 | 1 | 2 | yes | — |
| 39 | #13717 | C22 | 1 | 2 | yes | complemented |
| 40 | #13717 | C22 | 1 | 2 | yes | complemented |
| 41 | #13638 | — | 2 | 1 | no | — |
| 42 | C2×#1426 | — | 2 | 1 | no | — |
| 43 | #13625 | — | 2 | 1 | no | — |
| 44 | C2×#1419 | — | 2 | 1 | no | — |
| 45 | #13556 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #13556 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #13519 | C22 | 1 | 2 | yes | complemented |
| 48 | #13499 | C22 | 1 | 2 | yes | complemented |
| 49 | #13170 | — | 2 | 1 | no | — |
| 50 | #12877 | — | 2 | 1 | no | — |
| 51 | #12841 | — | 2 | 1 | no | — |
| 52 | #12839 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #7423 | C22 | 1 | 2 | yes | complemented |
| 54 | #7422 | C22 | 1 | 2 | yes | — |
| 55 | #7422 | C22 | 1 | 2 | yes | complemented |
| 56 | #7422 | C22 | 1 | 2 | yes | complemented |
| 57 | #7364 | C22 | 1 | 2 | yes | complemented |
| 58 | #7337 | C22 | 1 | 2 | yes | complemented |
| 59 | #3546 | — | 4 | 1 | no | — |
| 60 | C2×#509 | — | 2 | 1 | no | — |
| 61 | C2×#508 | D4 | 1 | 1 | yes | characteristic |
| 62 | C22×D16 | D4 | 1 | 1 | yes | characteristic |
| 63 | C2×#504 | D4 | 1 | 1 | yes | characteristic |
| 64 | C2×#504 | C23 | 1 | 1 | yes | characteristic |
| 65 | #3342 | — | 2 | 1 | no | — |
| 66 | #3339 | — | 2 | 1 | no | — |
| 67 | #3339 | — | 2 | 1 | no | — |
| 68 | #3334 | — | 2 | 1 | no | — |
| 69 | #3332 | — | 4 | 1 | no | — |
| 70 | #3324 | — | 4 | 1 | no | — |
| 71 | #3322 | — | 4 | 1 | no | — |
| 72 | #3322 | — | 4 | 1 | no | — |
| 73 | #3287 | — | 2 | 1 | no | — |
| 74 | #3280 | — | 2 | 1 | no | — |
| 75 | #3280 | — | 2 | 1 | no | — |
| 76 | D4×D8 | — | 2 | 1 | no | — |
| 77 | #3251 | — | 4 | 1 | no | — |
| 78 | #3198 | — | 4 | 1 | no | — |
| 79 | #3198 | — | 4 | 1 | no | — |
| 80 | #3169 | — | 2 | 1 | no | — |
| 81 | #3168 | — | 2 | 1 | no | — |
| 82 | #3061 | — | 2 | 1 | no | — |
| 83 | #3061 | — | 2 | 1 | no | — |
| 84 | #3058 | — | 2 | 1 | no | — |
| 85 | #3058 | — | 2 | 1 | no | — |
| 86 | #2931 | D4 | 1 | 1 | yes | characteristic |
| 87 | #2916 | — | 2 | 1 | no | — |
| 88 | C2×M64 | — | 2 | 1 | no | — |
| 89 | C2×M64 | — | 2 | 1 | no | — |
| 90 | #2255 | — | 2 | 1 | no | — |
| 91 | #2250 | — | 2 | 1 | no | — |
| 92 | #2244 | — | 2 | 1 | no | — |
| 93 | #2243 | — | 2 | 1 | no | — |
| 94 | #2237 | — | 2 | 1 | no | — |
| 95 | #2235 | — | 2 | 1 | no | — |
| 96 | #2234 | — | 2 | 1 | no | — |
| 97 | #2234 | — | 2 | 1 | no | — |
| 98 | #2234 | — | 2 | 1 | no | — |
| 99 | #2233 | — | 2 | 1 | no | — |
| 100 | #2233 | — | 2 | 1 | no | — |
| 101 | #2232 | — | 2 | 1 | no | — |
| 102 | #2229 | — | 2 | 1 | no | — |
| 103 | #2228 | — | 2 | 1 | no | — |
| 104 | #2226 | — | 2 | 1 | no | — |
| 105 | #2226 | — | 2 | 1 | no | — |
| 106 | #2220 | — | 2 | 1 | no | — |
| 107 | #2220 | — | 2 | 1 | no | — |
| 108 | #2219 | D4 | 1 | 1 | yes | characteristic |
| 109 | #2219 | C23 | 1 | 1 | yes | characteristic |
| 110 | #2218 | — | 2 | 1 | no | — |
| 111 | #2218 | — | 2 | 1 | no | — |
| 112 | #2218 | D4 | 1 | 1 | yes | characteristic |
| 113 | #2218 | D4 | 1 | 1 | yes | characteristic |
| 114 | #2218 | D4 | 1 | 1 | yes | characteristic |
| 115 | #2218 | C23 | 1 | 1 | yes | characteristic |
| 116 | #2218 | C23 | 1 | 1 | yes | characteristic |
| 117 | #2218 | C23 | 1 | 1 | yes | characteristic |
| 118 | #2217 | — | 2 | 1 | no | — |
| 119 | #2217 | — | 2 | 1 | no | — |
| 120 | #2217 | — | 2 | 1 | no | — |
| 121 | #2217 | — | 2 | 1 | no | — |
| 122 | #2215 | — | 2 | 1 | no | — |
| 123 | #2215 | — | 2 | 1 | no | — |
| 124 | #2215 | — | 2 | 1 | no | — |
| 125 | #2215 | — | 2 | 1 | no | — |
| 126 | #2211 | — | 2 | 1 | no | — |
| 127 | #2210 | — | 2 | 1 | no | — |
| 128 | #2206 | — | 2 | 1 | no | — |
| 129 | #2206 | — | 2 | 1 | no | — |
| 130 | #2189 | — | 2 | 1 | no | — |
| 131 | #2187 | — | 2 | 1 | no | — |
| 132 | #2186 | — | 2 | 1 | no | — |
| 133 | #2186 | — | 2 | 1 | no | — |
| 134 | #2186 | — | 2 | 1 | no | — |
| 135 | #2184 | — | 2 | 1 | no | — |
| 136 | #2184 | — | 2 | 1 | no | — |
| 137 | #2184 | — | 2 | 1 | no | — |
| 138 | #2177 | — | 2 | 1 | no | — |
| 139 | #2177 | — | 2 | 1 | no | — |
| 140 | #2175 | — | 2 | 1 | no | — |
| 141 | #2175 | — | 2 | 1 | no | — |
| 142 | #2168 | — | 2 | 1 | no | — |
| 143 | #2168 | — | 2 | 1 | no | — |
| 144 | #2168 | — | 2 | 1 | no | — |
| 145 | #2168 | — | 2 | 1 | no | — |
| 146 | #2161 | — | 2 | 1 | no | — |
| 147 | #2161 | — | 2 | 1 | no | — |
| 148 | #2161 | C23 | 1 | 2 | yes | — |
| 149 | C2×#368 | — | 2 | 1 | no | — |
| 150 | C2×#368 | — | 2 | 1 | no | — |
| 151 | C2×#368 | — | 2 | 1 | no | — |
| 152 | #2159 | — | 2 | 1 | no | — |
| 153 | #2158 | — | 2 | 1 | no | — |
| 154 | #2158 | D4 | 1 | 1 | yes | characteristic |
| 155 | C2×#367 | D4 | 1 | 1 | yes | characteristic |
| 156 | #2150 | C23 | 1 | 1 | yes | characteristic |
| 157 | #2140 | — | 2 | 1 | no | — |
| 158 | #2139 | — | 2 | 1 | no | — |
| 159 | #2138 | — | 2 | 1 | no | — |
| 160 | C2×#357 | — | 2 | 1 | no | — |
| 161 | #2113 | D4 | 1 | 1 | yes | characteristic |
| 162 | #2113 | C23 | 1 | 1 | yes | characteristic |
| 163 | C2×#346 | D4 | 1 | 1 | yes | characteristic |
| 164 | #2102 | — | 4 | 1 | no | — |
| 165 | #2098 | — | 4 | 1 | no | — |
| 166 | #1945 | — | 2 | 2 | no | — |
| 167 | #1884 | — | 4 | 1 | no | — |
| 168 | #1868 | — | 4 | 1 | no | — |
| 169 | #1814 | — | 2 | 2 | no | — |
| 170 | #1812 | — | 2 | 1 | no | — |
| 171 | #1426 | — | 2 | 2 | no | — |
| 172 | #1426 | — | 2 | 2 | no | — |
| 173 | #1426 | — | 2 | 2 | no | — |
| 174 | #1426 | — | 2 | 2 | no | — |
| 175 | #1420 | — | 2 | 2 | no | — |
| 176 | #1419 | — | 2 | 2 | no | — |
| 177 | #1419 | — | 2 | 2 | no | — |
| 178 | #1419 | — | 2 | 2 | no | — |
| 179 | #1400 | — | 2 | 1 | no | — |
| 180 | #1400 | — | 2 | 1 | no | — |
| 181 | #1400 | C23 | 1 | 2 | yes | — |
| 182 | #1400 | C23 | 1 | 2 | yes | — |
| 183 | #1389 | — | 2 | 2 | no | — |
| 184 | #1384 | C23 | 1 | 2 | yes | — |
| 185 | #1382 | — | 2 | 2 | no | — |
| 186 | C2×#135 | — | 2 | 1 | no | — |
| 187 | C2×#135 | — | 2 | 1 | no | — |
| 188 | C22×D8 | — | 2 | 1 | no | — |
| 189 | C22×D8 | — | 2 | 1 | no | — |
| 190 | #568 | — | 4 | 1 | no | — |
| 191 | C2×#131 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C2×#131 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | #560 | — | 8 | 1 | no | — |
| 194 | #560 | — | 8 | 1 | no | — |
| 195 | #556 | — | 4 | 1 | no | — |
| 196 | #553 | — | 4 | 1 | no | — |
| 197 | #553 | — | 4 | 1 | no | — |
| 198 | #550 | — | 4 | 1 | no | — |
| 199 | #550 | — | 8 | 1 | no | — |
| 200 | #547 | — | 4 | 1 | no | — |
| 201 | #546 | — | 4 | 1 | no | — |
| 202 | #546 | — | 4 | 1 | no | — |
| 203 | #546 | — | 8 | 1 | no | — |
| 204 | D42 | — | 4 | 1 | no | — |
| 205 | #542 | — | 8 | 1 | no | — |
| 206 | #538 | — | 8 | 1 | no | — |
| 207 | #538 | — | 8 | 1 | no | — |
| 208 | #537 | — | 4 | 1 | no | — |
| 209 | #537 | — | 4 | 1 | no | — |
| 210 | #535 | — | 4 | 1 | no | — |
| 211 | #535 | — | 4 | 1 | no | — |
| 212 | #535 | — | 8 | 1 | no | — |
| 213 | #532 | — | 4 | 1 | no | — |
| 214 | #532 | D8 | 1 | 1 | yes | characteristic |
| 215 | #529 | — | 4 | 1 | no | — |
| 216 | #509 | — | 8 | 1 | no | — |
| 217 | #509 | — | 8 | 1 | no | — |
| 218 | #508 | — | 4 | 1 | no | — |
| 219 | #508 | — | 4 | 1 | no | — |
| 220 | C2×Q32 | C2×D4 | 1 | 1 | yes | characteristic |
| 221 | C2×SD32 | — | 2 | 1 | no | — |
| 222 | C2×SD32 | — | 2 | 1 | no | — |
| 223 | C2×SD32 | — | 2 | 1 | no | — |
| 224 | C2×D16 | — | 2 | 1 | no | — |
| 225 | C2×D16 | — | 2 | 1 | no | — |
| 226 | C2×D16 | — | 2 | 1 | no | — |
| 227 | C2×D16 | — | 4 | 1 | no | — |
| 228 | C2×D16 | — | 4 | 1 | no | — |
| 229 | C2×D16 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C2×D16 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | C2×D16 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | #504 | — | 4 | 1 | no | — |
| 233 | #504 | — | 4 | 1 | no | — |
| 234 | #504 | — | 4 | 1 | no | — |
| 235 | #504 | — | 4 | 1 | no | — |
| 236 | C2×M32 | — | 2 | 1 | no | — |
| 237 | C2×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C2×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C2×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C2×M32 | C24 | 1 | 1 | yes | characteristic |
| 241 | C22×C16 | — | 2 | 1 | no | — |
| 242 | C22×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C22×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C22×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C22×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | #500 | — | 2 | 1 | no | — |
| 247 | #499 | — | 2 | 1 | no | — |
| 248 | #495 | — | 2 | 1 | no | — |
| 249 | #493 | — | 2 | 1 | no | — |
| 250 | #488 | — | 4 | 1 | no | — |
| 251 | #486 | — | 4 | 1 | no | — |
| 252 | #485 | — | 4 | 1 | no | — |
| 253 | #485 | — | 4 | 1 | no | — |
| 254 | #482 | — | 4 | 1 | no | — |
| 255 | #482 | — | 4 | 1 | no | — |
| 256 | #481 | — | 4 | 1 | no | — |
| 257 | #481 | — | 4 | 1 | no | — |
| 258 | #480 | — | 4 | 1 | no | — |
| 259 | #480 | — | 4 | 1 | no | — |
| 260 | #478 | — | 4 | 1 | no | — |
| 261 | #478 | — | 4 | 1 | no | — |
| 262 | #475 | — | 4 | 1 | no | — |
| 263 | #474 | — | 4 | 1 | no | — |
| 264 | #469 | — | 4 | 1 | no | — |
| 265 | #469 | — | 4 | 1 | no | — |
| 266 | #469 | — | 4 | 1 | no | — |
| 267 | #469 | — | 4 | 1 | no | — |
| 268 | #468 | — | 4 | 1 | no | — |
| 269 | #468 | — | 4 | 1 | no | — |
| 270 | #468 | — | 4 | 1 | no | — |
| 271 | #468 | — | 4 | 1 | no | — |
| 272 | #467 | — | 2 | 1 | no | — |
| 273 | #467 | — | 2 | 1 | no | — |
| 274 | #467 | — | 2 | 1 | no | — |
| 275 | #466 | — | 2 | 1 | no | — |
| 276 | #466 | — | 2 | 1 | no | — |
| 277 | #466 | — | 2 | 1 | no | — |
| 278 | #466 | — | 2 | 1 | no | — |
| 279 | #466 | — | 2 | 1 | no | — |
| 280 | #466 | — | 2 | 1 | no | — |
| 281 | #466 | — | 2 | 1 | no | — |
| 282 | #466 | — | 2 | 1 | no | — |
| 283 | #466 | — | 2 | 1 | no | — |
| 284 | #466 | — | 4 | 1 | no | — |
| 285 | #465 | — | 4 | 1 | no | — |
| 286 | #463 | — | 4 | 1 | no | — |
| 287 | #463 | — | 4 | 1 | no | — |
| 288 | #460 | — | 4 | 1 | no | — |
| 289 | #459 | — | 4 | 1 | no | — |
| 290 | #450 | — | 4 | 1 | no | — |
| 291 | #450 | — | 4 | 1 | no | — |
| 292 | #449 | — | 4 | 1 | no | — |
| 293 | #449 | — | 4 | 1 | no | — |
| 294 | #449 | — | 4 | 1 | no | — |
| 295 | #449 | — | 4 | 1 | no | — |
| 296 | #447 | — | 4 | 1 | no | — |
| 297 | #447 | — | 4 | 1 | no | — |
| 298 | C4×Q16 | — | 2 | 1 | no | — |
| 299 | C4×SD16 | — | 4 | 1 | no | — |
| 300 | C4×D8 | — | 2 | 1 | no | — |
| 301 | C4×D8 | — | 2 | 1 | no | — |
| 302 | C4×D8 | — | 2 | 1 | no | — |
| 303 | C4×D8 | — | 4 | 1 | no | — |
| 304 | #436 | — | 2 | 1 | no | — |
| 305 | #436 | — | 2 | 1 | no | — |
| 306 | C8×D4 | — | 2 | 1 | no | — |
| 307 | C8×D4 | — | 2 | 1 | no | — |
| 308 | #430 | — | 4 | 1 | no | — |
| 309 | #430 | — | 4 | 1 | no | — |
| 310 | #430 | — | 4 | 1 | no | — |
| 311 | C2×#108 | — | 2 | 2 | no | — |
| 312 | C2×#108 | — | 4 | 1 | no | — |
| 313 | C2×#108 | — | 4 | 1 | no | — |
| 314 | #427 | — | 2 | 1 | no | — |
| 315 | #427 | — | 2 | 1 | no | — |
| 316 | #427 | — | 2 | 2 | no | — |
| 317 | C2×#107 | — | 2 | 1 | no | — |
| 318 | C2×#107 | — | 2 | 1 | no | — |
| 319 | #424 | — | 4 | 2 | no | — |
| 320 | #423 | D8 | 1 | 1 | yes | characteristic |
| 321 | #421 | — | 4 | 2 | no | — |
| 322 | #418 | — | 4 | 1 | no | — |
| 323 | #418 | — | 4 | 1 | no | — |
| 324 | #417 | — | 4 | 1 | no | — |
| 325 | #417 | — | 4 | 1 | no | — |
| 326 | #410 | — | 4 | 1 | no | — |
| 327 | #408 | D8 | 1 | 1 | yes | characteristic |
| 328 | #408 | D8 | 1 | 1 | yes | characteristic |
| 329 | C2×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 330 | M64 | — | 2 | 2 | no | — |
| 331 | M64 | — | 2 | 2 | no | — |
| 332 | M64 | — | 4 | 1 | no | — |
| 333 | M64 | — | 4 | 1 | no | — |
| 334 | C2×C32 | — | 4 | 1 | no | — |
| 335 | C2×C32 | — | 4 | 1 | no | — |
| 336 | #368 | — | 2 | 2 | no | — |
| 337 | #368 | — | 2 | 2 | no | — |
| 338 | #368 | — | 4 | 1 | no | — |
| 339 | #368 | — | 4 | 1 | no | — |
| 340 | #367 | — | 2 | 1 | no | — |
| 341 | #367 | — | 2 | 1 | no | — |
| 342 | #367 | — | 2 | 1 | no | — |
| 343 | #367 | — | 4 | 1 | no | — |
| 344 | #367 | C2×D4 | 1 | 1 | yes | characteristic |
| 345 | #367 | C2×D4 | 1 | 1 | yes | characteristic |
| 346 | #367 | C2×D4 | 1 | 1 | yes | characteristic |
| 347 | #367 | C2×D4 | 1 | 1 | yes | characteristic |
| 348 | #366 | — | 2 | 1 | no | — |
| 349 | #366 | — | 2 | 1 | no | — |
| 350 | #366 | — | 2 | 1 | no | — |
| 351 | #366 | — | 4 | 1 | no | — |
| 352 | C4⋊C16 | — | 2 | 1 | no | — |
| 353 | C4⋊C16 | — | 2 | 1 | no | — |
| 354 | #358 | — | 2 | 1 | no | — |
| 355 | #358 | — | 2 | 1 | no | — |
| 356 | #358 | — | 2 | 1 | no | — |
| 357 | #358 | — | 2 | 1 | no | — |
| 358 | #357 | — | 2 | 1 | no | — |
| 359 | #357 | — | 2 | 1 | no | — |
| 360 | #357 | — | 2 | 1 | no | — |
| 361 | #357 | — | 2 | 1 | no | — |
| 362 | #357 | — | 2 | 1 | no | — |
| 363 | #357 | — | 2 | 1 | no | — |
| 364 | #357 | — | 2 | 1 | no | — |
| 365 | #357 | — | 2 | 1 | no | — |
| 366 | #357 | — | 2 | 1 | no | — |
| 367 | #357 | — | 2 | 1 | no | — |
| 368 | #357 | — | 2 | 1 | no | — |
| 369 | #357 | — | 2 | 1 | no | — |
| 370 | C22⋊C16 | — | 2 | 1 | no | — |
| 371 | C22⋊C16 | — | 2 | 1 | no | — |
| 372 | C22⋊C16 | — | 2 | 1 | no | — |
| 373 | C22⋊C16 | — | 2 | 1 | no | — |
| 374 | #346 | — | 2 | 1 | no | — |
| 375 | #346 | — | 2 | 1 | no | — |
| 376 | #344 | — | 4 | 2 | no | — |
| 377 | #339 | — | 4 | 2 | no | — |
| 378 | H(3,ℤ/4) | — | 4 | 1 | no | — |
| 379 | C2×#41 | — | 4 | 1 | no | — |
| 380 | C2×#41 | — | 4 | 1 | no | — |
| 381 | C2×#41 | — | 8 | 1 | no | — |
| 382 | C2×#41 | — | 8 | 1 | no | — |
| 383 | C2×#41 | C2×D8 | 1 | 1 | yes | characteristic |
| 384 | C2×#41 | C2×D8 | 1 | 1 | yes | characteristic |
| 385 | C22×D4 | — | 4 | 1 | no | — |
| 386 | C22×D4 | — | 4 | 1 | no | — |
| 387 | C22×D4 | — | 8 | 1 | no | — |
| 388 | #135 | — | 8 | 1 | no | — |
| 389 | #135 | — | 8 | 1 | no | — |
| 390 | #135 | — | 8 | 1 | no | — |
| 391 | #135 | — | 8 | 1 | no | — |
| 392 | C2×Q16 | — | 2 | 1 | no | — |
| 393 | C2×SD16 | — | 4 | 1 | no | — |
| 394 | C2×SD16 | — | 4 | 1 | no | — |
| 395 | C2×SD16 | — | 4 | 1 | no | — |
| 396 | C2×D8 | — | 2 | 1 | no | — |
| 397 | C2×D8 | — | 2 | 1 | no | — |
| 398 | C2×D8 | — | 2 | 1 | no | — |
| 399 | C2×D8 | — | 4 | 1 | no | — |
| 400 | C2×D8 | — | 4 | 1 | no | — |
| 401 | C2×D8 | — | 4 | 1 | no | — |
| 402 | C2×D8 | — | 8 | 1 | no | — |
| 403 | C2×D8 | — | 8 | 1 | no | — |
| 404 | C2×D8 | — | 8 | 1 | no | — |
| 405 | C2×D8 | — | 8 | 1 | no | — |
| 406 | #131 | — | 4 | 1 | no | — |
| 407 | #131 | — | 4 | 1 | no | — |
| 408 | #131 | — | 4 | 1 | no | — |
| 409 | #131 | — | 4 | 1 | no | — |
| 410 | #131 | — | 16 | 2 | no | — |
| 411 | C2×M16 | — | 2 | 1 | no | — |
| 412 | C2×M16 | — | 4 | 2 | no | — |
| 413 | C2×M16 | — | 8 | 1 | no | — |
| 414 | C2×M16 | — | 8 | 1 | no | — |
| 415 | C2×M16 | C2×D8 | 1 | 1 | yes | characteristic |
| 416 | C2×M16 | C2×D8 | 1 | 1 | yes | characteristic |
| 417 | C2×M16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 418 | C2×M16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 419 | C22×C8 | — | 2 | 1 | no | — |
| 420 | C22×C8 | #120 | 1 | 1 | yes | characteristic |
| 421 | C22×C8 | #120 | 1 | 1 | yes | characteristic |
| 422 | C22×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 423 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 424 | C4⋊Q8 | — | 4 | 1 | no | — |
| 425 | C4⋊Q8 | SD32 | 1 | 1 | yes | characteristic |
| 426 | #127 | — | 4 | 1 | no | — |
| 427 | #127 | — | 8 | 1 | no | — |
| 428 | #127 | — | 8 | 1 | no | — |
| 429 | #127 | — | 8 | 1 | no | — |
| 430 | #127 | SD32 | 1 | 1 | yes | characteristic |
| 431 | #126 | — | 8 | 1 | no | — |
| 432 | #126 | — | 8 | 1 | no | — |
| 433 | #126 | — | 8 | 1 | no | — |
| 434 | #126 | — | 8 | 1 | no | — |
| 435 | #126 | — | 8 | 1 | no | — |
| 436 | #125 | — | 4 | 1 | no | — |
| 437 | #124 | — | 4 | 1 | no | — |
| 438 | #124 | — | 8 | 1 | no | — |
| 439 | #124 | — | 8 | 1 | no | — |
| 440 | #124 | — | 8 | 1 | no | — |
| 441 | #124 | — | 8 | 1 | no | — |
| 442 | #124 | SD32 | 1 | 1 | yes | characteristic |
| 443 | #124 | SD32 | 1 | 1 | yes | characteristic |
| 444 | #123 | — | 8 | 1 | no | — |
| 445 | #123 | — | 8 | 1 | no | — |
| 446 | #123 | — | 8 | 1 | no | — |
| 447 | #123 | — | 8 | 1 | no | — |
| 448 | #123 | — | 8 | 1 | no | — |
| 449 | #123 | — | 8 | 1 | no | — |
| 450 | #123 | — | 8 | 1 | no | — |
| 451 | C22⋊Q8 | — | 4 | 1 | no | — |
| 452 | C22⋊Q8 | — | 4 | 1 | no | — |
| 453 | C22⋊Q8 | — | 4 | 1 | no | — |
| 454 | C22⋊Q8 | — | 8 | 1 | no | — |
| 455 | C22⋊Q8 | — | 8 | 1 | no | — |
| 456 | C22⋊Q8 | — | 8 | 1 | no | — |
| 457 | #121 | — | 2 | 1 | no | — |
| 458 | #121 | — | 2 | 1 | no | — |
| 459 | #121 | — | 4 | 1 | no | — |
| 460 | #121 | — | 4 | 1 | no | — |
| 461 | #121 | — | 4 | 1 | no | — |
| 462 | #121 | — | 4 | 1 | no | — |
| 463 | #121 | — | 4 | 1 | no | — |
| 464 | #121 | — | 4 | 1 | no | — |
| 465 | #121 | — | 4 | 1 | no | — |
| 466 | #121 | — | 4 | 1 | no | — |
| 467 | #121 | — | 4 | 1 | no | — |
| 468 | #121 | — | 8 | 1 | no | — |
| 469 | #121 | — | 8 | 1 | no | — |
| 470 | #121 | — | 8 | 1 | no | — |
| 471 | #121 | — | 8 | 1 | no | — |
| 472 | #121 | — | 8 | 1 | no | — |
| 473 | #121 | — | 8 | 1 | no | — |
| 474 | #121 | — | 8 | 1 | no | — |
| 475 | #121 | — | 8 | 1 | no | — |
| 476 | #121 | — | 8 | 1 | no | — |
| 477 | #121 | — | 8 | 1 | no | — |
| 478 | #121 | — | 8 | 1 | no | — |
| 479 | #121 | — | 8 | 1 | no | — |
| 480 | #121 | — | 8 | 1 | no | — |
| 481 | #121 | — | 8 | 1 | no | — |
| 482 | #120 | — | 8 | 1 | no | — |
| 483 | #120 | — | 8 | 1 | no | — |
| 484 | #120 | — | 8 | 1 | no | — |
| 485 | #120 | — | 8 | 1 | no | — |
| 486 | #120 | — | 8 | 1 | no | — |
| 487 | #120 | — | 8 | 1 | no | — |
| 488 | #120 | — | 8 | 1 | no | — |
| 489 | #120 | — | 8 | 1 | no | — |
| 490 | C4×Q8 | — | 4 | 1 | no | — |
| 491 | C4×Q8 | — | 8 | 1 | no | — |
| 492 | C4×D4 | — | 2 | 1 | no | — |
| 493 | C4×D4 | — | 2 | 1 | no | — |
| 494 | C4×D4 | — | 4 | 1 | no | — |
| 495 | C4×D4 | — | 4 | 1 | no | — |
| 496 | C4×D4 | — | 4 | 1 | no | — |
| 497 | C4×D4 | — | 8 | 1 | no | — |
| 498 | C4×D4 | — | 8 | 1 | no | — |
| 499 | C4×D4 | — | 8 | 1 | no | — |
| 500 | C4×D4 | — | 8 | 1 | no | — |
| 501 | C4×D4 | — | 8 | 1 | no | — |
| 502 | #117 | — | 4 | 1 | no | — |
| 503 | #117 | — | 4 | 1 | no | — |
| 504 | #117 | — | 4 | 2 | no | — |
| 505 | #117 | — | 8 | 1 | no | — |
| 506 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 507 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 508 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 509 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 510 | C2×C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 511 | Q32 | — | 4 | 1 | no | — |
| 512 | SD32 | — | 4 | 1 | no | — |
| 513 | SD32 | — | 4 | 1 | no | — |
| 514 | SD32 | — | 8 | 1 | no | — |
| 515 | SD32 | — | 8 | 1 | no | — |
| 516 | D16 | — | 4 | 1 | no | — |
| 517 | D16 | — | 4 | 1 | no | — |
| 518 | D16 | — | 4 | 1 | no | — |
| 519 | D16 | — | 4 | 1 | no | — |
| 520 | D16 | — | 4 | 1 | no | — |
| 521 | D16 | — | 8 | 1 | no | — |
| 522 | D16 | — | 8 | 1 | no | — |
| 523 | M32 | — | 4 | 1 | no | — |
| 524 | M32 | — | 4 | 1 | no | — |
| 525 | M32 | — | 4 | 1 | no | — |
| 526 | M32 | — | 4 | 1 | no | — |
| 527 | M32 | — | 4 | 1 | no | — |
| 528 | M32 | — | 4 | 1 | no | — |
| 529 | C2×C16 | — | 2 | 1 | no | — |
| 530 | C2×C16 | — | 2 | 1 | no | — |
| 531 | C2×C16 | — | 2 | 1 | no | — |
| 532 | C2×C16 | — | 2 | 1 | no | — |
| 533 | C2×C16 | — | 2 | 1 | no | — |
| 534 | C2×C16 | — | 2 | 1 | no | — |
| 535 | C2×C16 | — | 2 | 1 | no | — |
| 536 | C2×C16 | — | 2 | 1 | no | — |
| 537 | C2×C16 | — | 4 | 1 | no | — |
| 538 | C2×C16 | — | 8 | 1 | no | — |
| 539 | C2×C16 | #120 | 1 | 1 | yes | characteristic |
| 540 | C2×C16 | #120 | 1 | 1 | yes | characteristic |
| 541 | C2×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 542 | C2×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 543 | #108 | — | 4 | 2 | no | — |
| 544 | #108 | — | 4 | 2 | no | — |
| 545 | #108 | — | 8 | 1 | no | — |
| 546 | #108 | — | 8 | 1 | no | — |
| 547 | #107 | — | 2 | 1 | no | — |
| 548 | #107 | — | 2 | 1 | no | — |
| 549 | #107 | — | 2 | 1 | no | — |
| 550 | #107 | — | 2 | 1 | no | — |
| 551 | #107 | — | 4 | 1 | no | — |
| 552 | #107 | — | 4 | 1 | no | — |
| 553 | #107 | — | 4 | 1 | no | — |
| 554 | #107 | — | 4 | 2 | no | — |
| 555 | #106 | — | 4 | 1 | no | — |
| 556 | #106 | — | 4 | 1 | no | — |
| 557 | #106 | — | 4 | 1 | no | — |
| 558 | #106 | — | 4 | 2 | no | — |
| 559 | C4⋊C8 | — | 2 | 1 | no | — |
| 560 | C4⋊C8 | — | 2 | 1 | no | — |
| 561 | C4⋊C8 | — | 16 | 2 | no | — |
| 562 | #104 | — | 16 | 2 | no | — |
| 563 | #103 | — | 4 | 1 | no | — |
| 564 | #103 | — | 4 | 1 | no | — |
| 565 | #103 | — | 4 | 1 | no | — |
| 566 | #103 | — | 4 | 1 | no | — |
| 567 | #102 | — | 4 | 1 | no | — |
| 568 | #102 | — | 4 | 1 | no | — |
| 569 | #102 | — | 4 | 1 | no | — |
| 570 | #102 | — | 4 | 1 | no | — |
| 571 | #102 | — | 4 | 1 | no | — |
| 572 | #102 | — | 4 | 1 | no | — |
| 573 | #102 | — | 4 | 1 | no | — |
| 574 | #102 | — | 4 | 1 | no | — |
| 575 | #102 | — | 4 | 1 | no | — |
| 576 | #102 | — | 4 | 1 | no | — |
| 577 | #102 | — | 4 | 1 | no | — |
| 578 | #102 | — | 4 | 1 | no | — |
| 579 | #99 | — | 8 | 1 | no | — |
| 580 | #99 | — | 8 | 1 | no | — |
| 581 | C22⋊C8 | — | 2 | 1 | no | — |
| 582 | C22⋊C8 | — | 2 | 1 | no | — |
| 583 | C22⋊C8 | — | 2 | 1 | no | — |
| 584 | C22⋊C8 | — | 2 | 1 | no | — |
| 585 | C4×C8 | — | 2 | 1 | no | — |
| 586 | C4×C8 | — | 2 | 1 | no | — |
| 587 | C32 | — | 4 | 2 | no | — |
| 588 | C32 | — | 4 | 2 | no | — |
| 589 | C24 | — | 8 | 1 | no | — |
| 590 | C24 | — | 8 | 1 | no | — |
| 591 | #41 | — | 4 | 1 | no | — |
| 592 | #41 | — | 4 | 1 | no | — |
| 593 | #41 | — | 4 | 1 | no | — |
| 594 | #41 | — | 4 | 1 | no | — |
| 595 | #41 | — | 16 | 1 | no | — |
| 596 | #41 | — | 16 | 1 | no | — |
| 597 | #41 | — | 16 | 1 | no | — |
| 598 | #41 | — | 16 | 1 | no | — |
| 599 | #41 | — | 32 | 2 | no | — |
| 600 | #41 | — | 32 | 2 | no | — |
| 601 | C2×Q8 | — | 4 | 1 | no | — |
| 602 | C2×Q8 | — | 8 | 1 | no | — |
| 603 | C2×Q8 | C2×SD32 | 1 | 1 | yes | characteristic |
| 604 | C2×Q8 | C2×SD32 | 1 | 1 | yes | characteristic |
| 605 | C2×D4 | — | 2 | 1 | no | — |
| 606 | C2×D4 | — | 2 | 1 | no | — |
| 607 | C2×D4 | — | 2 | 1 | no | — |
| 608 | C2×D4 | — | 4 | 1 | no | — |
| 609 | C2×D4 | — | 4 | 1 | no | — |
| 610 | C2×D4 | — | 4 | 1 | no | — |
| 611 | C2×D4 | — | 8 | 1 | no | — |
| 612 | C2×D4 | — | 8 | 1 | no | — |
| 613 | C2×D4 | — | 8 | 1 | no | — |
| 614 | C2×D4 | — | 8 | 1 | no | — |
| 615 | C2×D4 | — | 8 | 1 | no | — |
| 616 | C2×D4 | — | 8 | 1 | no | — |
| 617 | C2×D4 | — | 8 | 1 | no | — |
| 618 | C2×D4 | — | 8 | 1 | no | — |
| 619 | C2×D4 | — | 8 | 1 | no | — |
| 620 | C2×D4 | — | 8 | 1 | no | — |
| 621 | C2×D4 | — | 8 | 1 | no | — |
| 622 | C2×D4 | — | 8 | 1 | no | — |
| 623 | C2×D4 | — | 8 | 1 | no | — |
| 624 | C2×D4 | — | 8 | 1 | no | — |
| 625 | C2×D4 | — | 8 | 1 | no | — |
| 626 | C2×D4 | — | 16 | 1 | no | — |
| 627 | C2×D4 | — | 16 | 1 | no | — |
| 628 | C2×D4 | — | 16 | 1 | no | — |
| 629 | C2×D4 | — | 16 | 1 | no | — |
| 630 | C2×D4 | — | 32 | 2 | no | — |
| 631 | C2×D4 | C2×SD32 | 1 | 1 | yes | characteristic |
| 632 | C2×D4 | C2×SD32 | 1 | 1 | yes | characteristic |
| 633 | C2×D4 | #509 | 1 | 1 | yes | characteristic |
| 634 | C2×D4 | #509 | 1 | 1 | yes | characteristic |
| 635 | C22×C4 | — | 2 | 1 | no | — |
| 636 | C22×C4 | — | 2 | 1 | no | — |
| 637 | C22×C4 | — | 8 | 1 | no | — |
| 638 | C22×C4 | — | 8 | 1 | no | — |
| 639 | C22×C4 | — | 8 | 1 | no | — |
| 640 | C22×C4 | — | 8 | 1 | no | — |
| 641 | C22×C4 | — | 8 | 1 | no | — |
| 642 | C22×C4 | — | 8 | 1 | no | — |
| 643 | C22×C4 | — | 8 | 1 | no | — |
| 644 | C22×C4 | #447 | 1 | 1 | yes | characteristic |
| 645 | C22×C4 | #447 | 1 | 1 | yes | characteristic |
| 646 | C22×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 647 | Q16 | — | 4 | 1 | no | — |
| 648 | Q16 | — | 4 | 1 | no | — |
| 649 | SD16 | — | 16 | 1 | no | — |
| 650 | SD16 | — | 16 | 1 | no | — |
| 651 | SD16 | — | 16 | 1 | no | — |
| 652 | D8 | — | 4 | 1 | no | — |
| 653 | D8 | — | 4 | 1 | no | — |
| 654 | D8 | — | 4 | 1 | no | — |
| 655 | D8 | — | 4 | 1 | no | — |
| 656 | D8 | — | 4 | 1 | no | — |
| 657 | D8 | — | 4 | 1 | no | — |
| 658 | D8 | — | 16 | 1 | no | — |
| 659 | D8 | — | 16 | 1 | no | — |
| 660 | D8 | — | 16 | 1 | no | — |
| 661 | M16 | — | 4 | 1 | no | — |
| 662 | M16 | — | 4 | 1 | no | — |
| 663 | M16 | — | 4 | 1 | no | — |
| 664 | M16 | — | 4 | 1 | no | — |
| 665 | M16 | — | 8 | 1 | no | — |
| 666 | M16 | — | 8 | 2 | no | — |
| 667 | M16 | — | 8 | 2 | no | — |
| 668 | M16 | — | 16 | 1 | no | — |
| 669 | M16 | — | 16 | 1 | no | — |
| 670 | C2×C8 | — | 2 | 1 | no | — |
| 671 | C2×C8 | — | 2 | 1 | no | — |
| 672 | C2×C8 | — | 2 | 1 | no | — |
| 673 | C2×C8 | — | 2 | 1 | no | — |
| 674 | C2×C8 | — | 2 | 1 | no | — |
| 675 | C2×C8 | — | 2 | 1 | no | — |
| 676 | C2×C8 | — | 2 | 1 | no | — |
| 677 | C2×C8 | — | 2 | 1 | no | — |
| 678 | C2×C8 | — | 4 | 1 | no | — |
| 679 | C2×C8 | — | 4 | 1 | no | — |
| 680 | C2×C8 | — | 4 | 1 | no | — |
| 681 | C2×C8 | — | 8 | 2 | no | — |
| 682 | C2×C8 | — | 16 | 1 | no | — |
| 683 | C2×C8 | — | 16 | 1 | no | — |
| 684 | C2×C8 | #447 | 1 | 1 | yes | characteristic |
| 685 | C2×C8 | #447 | 1 | 1 | yes | characteristic |
| 686 | C2×C8 | C2×#120 | 1 | 1 | yes | characteristic |
| 687 | C2×C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 688 | C4⋊C4 | — | 2 | 1 | no | — |
| 689 | C4⋊C4 | — | 2 | 1 | no | — |
| 690 | C4⋊C4 | — | 4 | 1 | no | — |
| 691 | C4⋊C4 | — | 4 | 1 | no | — |
| 692 | C4⋊C4 | — | 4 | 1 | no | — |
| 693 | C4⋊C4 | — | 4 | 1 | no | — |
| 694 | C4⋊C4 | — | 8 | 1 | no | — |
| 695 | C4⋊C4 | — | 8 | 1 | no | — |
| 696 | C4⋊C4 | — | 8 | 1 | no | — |
| 697 | C4⋊C4 | — | 8 | 1 | no | — |
| 698 | C4⋊C4 | — | 8 | 1 | no | — |
| 699 | C4⋊C4 | — | 8 | 1 | no | — |
| 700 | C4⋊C4 | — | 8 | 2 | no | — |
| 701 | C4⋊C4 | — | 8 | 1 | no | — |
| 702 | C4⋊C4 | — | 8 | 1 | no | — |
| 703 | C4⋊C4 | — | 8 | 1 | no | — |
| 704 | C22⋊C4 | — | 2 | 1 | no | — |
| 705 | C22⋊C4 | — | 2 | 1 | no | — |
| 706 | C22⋊C4 | — | 2 | 1 | no | — |
| 707 | C22⋊C4 | — | 2 | 1 | no | — |
| 708 | C22⋊C4 | — | 8 | 1 | no | — |
| 709 | C22⋊C4 | — | 8 | 1 | no | — |
| 710 | C22⋊C4 | — | 8 | 1 | no | — |
| 711 | C22⋊C4 | — | 8 | 1 | no | — |
| 712 | C22⋊C4 | — | 8 | 1 | no | — |
| 713 | C22⋊C4 | — | 8 | 1 | no | — |
| 714 | C22⋊C4 | — | 8 | 1 | no | — |
| 715 | C22⋊C4 | — | 8 | 1 | no | — |
| 716 | C22⋊C4 | — | 8 | 1 | no | — |
| 717 | C22⋊C4 | — | 8 | 1 | no | — |
| 718 | C22⋊C4 | — | 8 | 1 | no | — |
| 719 | C22⋊C4 | — | 8 | 1 | no | — |
| 720 | C22⋊C4 | — | 8 | 1 | no | — |
| 721 | C22⋊C4 | — | 8 | 1 | no | — |
| 722 | C22⋊C4 | — | 8 | 1 | no | — |
| 723 | C22⋊C4 | — | 8 | 1 | no | — |
| 724 | C22⋊C4 | — | 8 | 1 | no | — |
| 725 | C22⋊C4 | — | 8 | 1 | no | — |
| 726 | C22⋊C4 | — | 8 | 1 | no | — |
| 727 | C22⋊C4 | — | 8 | 2 | no | — |
| 728 | C42 | — | 2 | 1 | no | — |
| 729 | C42 | — | 8 | 1 | no | — |
| 730 | C42 | — | 8 | 1 | no | — |
| 731 | C42 | — | 8 | 2 | no | — |
| 732 | C42 | — | 8 | 1 | no | — |
| 733 | C42 | C2×SD32 | 1 | 1 | yes | characteristic |
| 734 | C42 | C2×SD32 | 1 | 1 | yes | characteristic |
| 735 | C16 | — | 2 | 1 | no | — |
| 736 | C16 | — | 2 | 1 | no | — |
| 737 | C16 | — | 2 | 1 | no | — |
| 738 | C16 | — | 4 | 1 | no | — |
| 739 | C16 | — | 4 | 1 | no | — |
| 740 | C16 | #458 | 1 | 1 | yes | characteristic |
| 741 | C16 | #458 | 1 | 1 | yes | characteristic |
| 742 | C23 | — | 2 | 1 | no | — |
| 743 | C23 | — | 8 | 1 | no | — |
| 744 | C23 | — | 8 | 1 | no | — |
| 745 | C23 | — | 8 | 1 | no | — |
| 746 | C23 | — | 32 | 1 | no | — |
| 747 | C23 | — | 32 | 1 | no | — |
| 748 | C23 | — | 32 | 1 | no | — |
| 749 | C23 | — | 32 | 1 | no | — |
| 750 | C23 | — | 32 | 1 | no | — |
| 751 | C23 | — | 32 | 1 | no | — |
| 752 | C23 | #2187 | 1 | 1 | yes | characteristic |
| 753 | C23 | #2187 | 1 | 1 | yes | characteristic |
| 754 | C23 | C2×#509 | 1 | 1 | yes | characteristic |
| 755 | Q8 | — | 4 | 1 | no | — |
| 756 | Q8 | — | 4 | 1 | no | — |
| 757 | Q8 | — | 8 | 1 | no | — |
| 758 | Q8 | — | 8 | 1 | no | — |
| 759 | Q8 | — | 16 | 2 | no | — |
| 760 | D4 | — | 4 | 1 | no | — |
| 761 | D4 | — | 4 | 1 | no | — |
| 762 | D4 | — | 4 | 1 | no | — |
| 763 | D4 | — | 4 | 1 | no | — |
| 764 | D4 | — | 8 | 1 | no | — |
| 765 | D4 | — | 8 | 1 | no | — |
| 766 | D4 | — | 8 | 1 | no | — |
| 767 | D4 | — | 8 | 1 | no | — |
| 768 | D4 | — | 8 | 1 | no | — |
| 769 | D4 | — | 8 | 1 | no | — |
| 770 | D4 | — | 8 | 1 | no | — |
| 771 | D4 | — | 8 | 1 | no | — |
| 772 | D4 | — | 8 | 1 | no | — |
| 773 | D4 | — | 16 | 2 | no | — |
| 774 | D4 | — | 32 | 1 | no | — |
| 775 | D4 | — | 32 | 1 | no | — |
| 776 | D4 | — | 32 | 1 | no | — |
| 777 | D4 | — | 32 | 1 | no | — |
| 778 | D4 | — | 32 | 1 | no | — |
| 779 | D4 | — | 32 | 1 | no | — |
| 780 | D4 | — | 32 | 1 | no | — |
| 781 | D4 | — | 32 | 1 | no | — |
| 782 | D4 | — | 32 | 1 | no | — |
| 783 | D4 | — | 32 | 1 | no | — |
| 784 | D4 | — | 32 | 1 | no | — |
| 785 | D4 | — | 32 | 1 | no | — |
| 786 | D4 | — | 32 | 1 | no | — |
| 787 | D4 | — | 32 | 1 | no | — |
| 788 | C2×C4 | — | 2 | 1 | no | — |
| 789 | C2×C4 | — | 2 | 1 | no | — |
| 790 | C2×C4 | — | 2 | 1 | no | — |
| 791 | C2×C4 | — | 2 | 1 | no | — |
| 792 | C2×C4 | — | 2 | 1 | no | — |
| 793 | C2×C4 | — | 2 | 1 | no | — |
| 794 | C2×C4 | — | 2 | 1 | no | — |
| 795 | C2×C4 | — | 2 | 1 | no | — |
| 796 | C2×C4 | — | 2 | 1 | no | — |
| 797 | C2×C4 | — | 4 | 1 | no | — |
| 798 | C2×C4 | — | 4 | 1 | no | — |
| 799 | C2×C4 | — | 8 | 1 | no | — |
| 800 | C2×C4 | — | 8 | 1 | no | — |
| 801 | C2×C4 | — | 8 | 1 | no | — |
| 802 | C2×C4 | — | 8 | 1 | no | — |
| 803 | C2×C4 | — | 8 | 1 | no | — |
| 804 | C2×C4 | — | 8 | 1 | no | — |
| 805 | C2×C4 | — | 16 | 2 | no | — |
| 806 | C2×C4 | — | 16 | 2 | no | — |
| 807 | C2×C4 | — | 32 | 1 | no | — |
| 808 | C2×C4 | — | 32 | 1 | no | — |
| 809 | C2×C4 | — | 32 | 1 | no | — |
| 810 | C2×C4 | — | 32 | 1 | no | — |
| 811 | C2×C4 | — | 32 | 1 | no | — |
| 812 | C2×C4 | — | 32 | 1 | no | — |
| 813 | C2×C4 | #2187 | 1 | 1 | yes | characteristic |
| 814 | C2×C4 | #2187 | 1 | 1 | yes | characteristic |
| 815 | C2×C4 | C2×#447 | 1 | 1 | yes | characteristic |
| 816 | C2×C4 | C22×SD32 | 1 | 1 | yes | characteristic |
| 817 | C8 | — | 2 | 1 | no | — |
| 818 | C8 | — | 2 | 1 | no | — |
| 819 | C8 | — | 2 | 1 | no | — |
| 820 | C8 | — | 4 | 1 | no | — |
| 821 | C8 | — | 4 | 1 | no | — |
| 822 | C8 | — | 16 | 2 | no | — |
| 823 | C8 | #3022 | 1 | 1 | yes | characteristic |
| 824 | C8 | C2×#458 | 1 | 1 | yes | characteristic |
| 825 | C22 | — | 2 | 1 | no | — |
| 826 | C22 | — | 2 | 1 | no | — |
| 827 | C22 | — | 2 | 1 | no | — |
| 828 | C22 | — | 4 | 1 | no | — |
| 829 | C22 | — | 4 | 1 | no | — |
| 830 | C22 | — | 4 | 1 | no | — |
| 831 | C22 | — | 4 | 1 | no | — |
| 832 | C22 | — | 4 | 1 | no | — |
| 833 | C22 | — | 4 | 1 | no | — |
| 834 | C22 | — | 16 | 1 | no | — |
| 835 | C22 | — | 16 | 1 | no | — |
| 836 | C22 | — | 16 | 1 | no | — |
| 837 | C22 | — | 16 | 1 | no | — |
| 838 | C22 | — | 16 | 1 | no | — |
| 839 | C22 | — | 16 | 1 | no | — |
| 840 | C22 | — | 16 | 1 | no | — |
| 841 | C22 | — | 16 | 1 | no | — |
| 842 | C22 | — | 16 | 1 | no | — |
| 843 | C22 | — | 64 | 2 | no | — |
| 844 | C22 | — | 64 | 2 | no | — |
| 845 | C22 | C2×#2187 | 1 | 1 | yes | characteristic |
| 846 | C4 | — | 2 | 1 | no | — |
| 847 | C4 | — | 2 | 1 | no | — |
| 848 | C4 | — | 2 | 1 | no | — |
| 849 | C4 | — | 4 | 1 | no | — |
| 850 | C4 | — | 4 | 1 | no | — |
| 851 | C4 | — | 4 | 1 | no | — |
| 852 | C4 | — | 16 | 1 | no | — |
| 853 | C4 | — | 16 | 1 | no | — |
| 854 | C4 | — | 16 | 1 | no | — |
| 855 | C4 | — | 16 | 1 | no | — |
| 856 | C4 | — | 16 | 1 | no | — |
| 857 | C4 | — | 32 | 2 | no | — |
| 858 | C4 | #18202 | 1 | 1 | yes | characteristic |
| 859 | C4 | #33531 | 1 | 1 | yes | characteristic |
| 860 | C2 | — | 2 | 1 | no | — |
| 861 | C2 | — | 4 | 1 | no | — |
| 862 | C2 | — | 4 | 1 | no | — |
| 863 | C2 | — | 4 | 1 | no | — |
| 864 | C2 | — | 8 | 1 | no | — |
| 865 | C2 | — | 32 | 1 | no | — |
| 866 | C2 | — | 32 | 1 | no | — |
| 867 | C2 | — | 32 | 1 | no | — |
| 868 | C2 | #486654 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #486654 |
| commutator, Frattini, cosocle | C2×M32 | C24 |
| prime radical | #7624864 | C2 |
| LCS | G ▷ C2×M32 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ C2×#131 ◁ #33435 ◁ G | |
| LECS | G ▷ C2×M32 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #512993 | C2 | semidirect |
| 3. #512991 | C2 | semidirect |
| 4. #505707 | C2 | semidirect |
| 5. #151511 | C2 | semidirect |
| 6. #151509 | C2 | semidirect |
| 7. #151495 | C2 | semidirect |
| 8. #151493 | C2 | semidirect |
| 9. #150879 | C2 | semidirect |
| 10. #150878 | C2 | semidirect |
| 11. #149672 | C2 | semidirect |
| 31. #33414 | C22 | semidirect |
| 34. #13718 | C22 | semidirect |
| 39. #13717 | C22 | semidirect |
| 40. #13717 | C22 | semidirect |
| 45. #13556 | C22 | semidirect |
| 46. #13556 | C22 | semidirect |
| 47. #13519 | C22 | semidirect |
| 48. #13499 | C22 | semidirect |
| 52. #12839 | C22 | semidirect |
| 53. #7423 | C22 | semidirect |
| 55. #7422 | C22 | semidirect |
| 56. #7422 | C22 | semidirect |
| 57. #7364 | C22 | semidirect |
| 58. #7337 | C22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #7624864 | 2 |
| #512993 | 2 |
| #512991 | 2 |
| #505707 | 2 |
| #151511 | 2 |
| #151509 | 2 |
| #151495 | 2 |
| #151493 | 2 |
| #150879 | 2 |
| #150878 | 2 |
| #149672 | 2 |