Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
5398 conjugacy classes of subgroups.
The subgroup lattice has 910 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72225406 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72225403 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72225401 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72225399 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #72225396 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #72225394 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #72225390 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #72225389 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #72225388 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #72216249 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72216211 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #7623661 | C22 | 1 | 4 | yes | — |
| 13 | #7622628 | — | 2 | 4 | no | — |
| 14 | #6383885 | C22 | 1 | 4 | yes | complemented |
| 15 | #498569 | C22 | 1 | 4 | yes | complemented |
| 16 | #498368 | — | 2 | 4 | no | — |
| 17 | #498314 | C22 | 1 | 8 | yes | complemented |
| 18 | #498173 | — | 2 | 8 | no | — |
| 19 | #497894 | C22 | 1 | 4 | yes | — |
| 20 | #497857 | C22 | 1 | 4 | yes | complemented |
| 21 | #497457 | — | 2 | 4 | no | — |
| 22 | #497407 | C22 | 1 | 8 | yes | complemented |
| 23 | #496112 | C22 | 1 | 4 | yes | complemented |
| 24 | #495894 | — | 2 | 4 | no | — |
| 25 | #495835 | C22 | 1 | 8 | yes | complemented |
| 26 | #495720 | — | 2 | 8 | no | — |
| 27 | #493242 | C22 | 1 | 2 | yes | — |
| 28 | #493217 | C22 | 1 | 4 | yes | complemented |
| 29 | #492533 | C4 | 1 | 2 | yes | complemented |
| 30 | #492532 | C4 | 1 | 2 | yes | complemented |
| 31 | #492531 | C4 | 1 | 4 | yes | complemented |
| 32 | #492530 | C4 | 1 | 8 | yes | complemented |
| 33 | #491465 | C22 | 1 | 1 | yes | characteristic |
| 34 | #490484 | C22 | 1 | 4 | yes | — |
| 35 | #488869 | C22 | 1 | 4 | yes | — |
| 36 | C2×#12047 | C22 | 1 | 2 | yes | — |
| 37 | C2×#12046 | C22 | 1 | 2 | yes | — |
| 38 | #213237 | C22 | 1 | 2 | yes | complemented |
| 39 | #141684 | C22 | 1 | 4 | yes | complemented |
| 40 | #141671 | C22 | 1 | 2 | yes | complemented |
| 41 | #141262 | C22 | 1 | 4 | yes | complemented |
| 42 | #140438 | C22 | 1 | 4 | yes | complemented |
| 43 | #140230 | C22 | 1 | 8 | yes | complemented |
| 44 | #138657 | C22 | 1 | 8 | yes | complemented |
| 45 | #137550 | C22 | 1 | 4 | yes | complemented |
| 46 | #136867 | C22 | 1 | 8 | yes | complemented |
| 47 | #136490 | C22 | 1 | 4 | yes | complemented |
| 48 | #136326 | C22 | 1 | 8 | yes | complemented |
| 49 | #135781 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #134971 | C22 | 1 | 4 | yes | complemented |
| 51 | #131834 | C22 | 1 | 4 | yes | complemented |
| 52 | #129143 | C22 | 1 | 2 | yes | complemented |
| 53 | #129142 | C22 | 1 | 2 | yes | complemented |
| 54 | #129101 | C22 | 1 | 2 | yes | complemented |
| 55 | #128897 | C22 | 1 | 4 | yes | complemented |
| 56 | #128674 | C22 | 1 | 4 | yes | complemented |
| 57 | #128673 | C22 | 1 | 4 | yes | complemented |
| 58 | C4×#1335 | C22 | 1 | 4 | yes | complemented |
| 59 | C8×#346 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #62635 | — | 2 | 4 | no | — |
| 61 | #61105 | C23 | 1 | 4 | yes | — |
| 62 | #60183 | — | 2 | 8 | no | — |
| 63 | #33860 | C2×C4 | 1 | 8 | yes | complemented |
| 64 | #33859 | — | 2 | 8 | no | — |
| 65 | #33858 | C2×C4 | 1 | 8 | yes | complemented |
| 66 | #33857 | — | 2 | 8 | no | — |
| 67 | #33856 | C2×C4 | 1 | 16 | yes | complemented |
| 68 | #33713 | C23 | 1 | 4 | yes | — |
| 69 | #33617 | — | 2 | 4 | no | — |
| 70 | #33594 | C23 | 1 | 8 | yes | — |
| 71 | #33538 | — | 2 | 8 | no | — |
| 72 | #33465 | — | 2 | 4 | no | — |
| 73 | #33465 | — | 2 | 4 | no | — |
| 74 | #33465 | — | 4 | 8 | no | — |
| 75 | #33464 | — | 2 | 8 | no | — |
| 76 | #33464 | — | 4 | 8 | no | — |
| 77 | #33463 | — | 2 | 8 | no | — |
| 78 | #33463 | — | 4 | 8 | no | — |
| 79 | C2×#2179 | — | 2 | 4 | no | — |
| 80 | C2×#2179 | — | 2 | 4 | no | — |
| 81 | C2×#2179 | — | 4 | 8 | no | — |
| 82 | C2×#2179 | D4 | 1 | 2 | yes | — |
| 83 | C2×#2178 | C23 | 1 | 2 | yes | — |
| 84 | #33451 | D4 | 1 | 2 | yes | — |
| 85 | C2×#2170 | C23 | 1 | 4 | yes | — |
| 86 | C2×#2170 | C23 | 1 | 4 | yes | — |
| 87 | #33414 | — | 2 | 4 | no | — |
| 88 | #33385 | — | 2 | 8 | no | — |
| 89 | #33326 | — | 2 | 4 | no | — |
| 90 | #23196 | C23 | 1 | 4 | yes | — |
| 91 | #23042 | — | 2 | 8 | no | — |
| 92 | #22899 | — | 4 | 4 | no | — |
| 93 | #22694 | C23 | 1 | 8 | yes | — |
| 94 | #22462 | — | 2 | 8 | no | — |
| 95 | #21705 | C23 | 1 | 4 | yes | — |
| 96 | #21558 | — | 2 | 8 | no | — |
| 97 | #21477 | — | 4 | 4 | no | — |
| 98 | C4×#443 | C23 | 1 | 4 | yes | — |
| 99 | #19603 | C23 | 1 | 2 | yes | — |
| 100 | #17956 | — | 4 | 2 | no | — |
| 101 | #13259 | C23 | 1 | 8 | yes | — |
| 102 | #13243 | — | 2 | 4 | no | — |
| 103 | #13242 | — | 2 | 4 | no | — |
| 104 | #13242 | — | 2 | 4 | no | — |
| 105 | #13208 | C23 | 1 | 8 | yes | — |
| 106 | #13182 | C23 | 1 | 8 | yes | — |
| 107 | #13173 | — | 2 | 4 | no | — |
| 108 | #13146 | — | 2 | 8 | no | — |
| 109 | #13137 | — | 2 | 8 | no | — |
| 110 | #13071 | — | 2 | 8 | no | — |
| 111 | #13027 | — | 2 | 8 | no | — |
| 112 | #13021 | — | 2 | 8 | no | — |
| 113 | #13016 | — | 2 | 8 | no | — |
| 114 | #12995 | — | 2 | 8 | no | — |
| 115 | #12947 | — | 2 | 8 | no | — |
| 116 | #12942 | — | 2 | 8 | no | — |
| 117 | #12927 | — | 2 | 8 | no | — |
| 118 | #12909 | C23 | 1 | 4 | yes | — |
| 119 | #12841 | — | 2 | 4 | no | — |
| 120 | #12822 | C23 | 1 | 8 | yes | — |
| 121 | #12747 | — | 2 | 8 | no | — |
| 122 | #12676 | D4 | 1 | 2 | yes | — |
| 123 | #12671 | D4 | 1 | 2 | yes | — |
| 124 | #12670 | C23 | 1 | 2 | yes | — |
| 125 | #12664 | C23 | 1 | 4 | yes | — |
| 126 | #12664 | C23 | 1 | 4 | yes | — |
| 127 | C4×#364 | C23 | 1 | 4 | yes | — |
| 128 | #12646 | — | 2 | 8 | no | — |
| 129 | #12642 | D4 | 1 | 4 | yes | — |
| 130 | #12641 | C23 | 1 | 4 | yes | — |
| 131 | #12640 | D4 | 1 | 4 | yes | — |
| 132 | #12615 | — | 2 | 4 | no | — |
| 133 | #12615 | — | 2 | 4 | no | — |
| 134 | #12604 | — | 2 | 4 | no | — |
| 135 | C4×#346 | C23 | 1 | 2 | yes | — |
| 136 | #12518 | C2×C4 | 1 | 4 | yes | complemented |
| 137 | #12517 | C2×C4 | 1 | 2 | yes | complemented |
| 138 | #12516 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 139 | #12515 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 140 | #12438 | C2×C4 | 1 | 16 | yes | complemented |
| 141 | #12437 | C2×C4 | 1 | 8 | yes | complemented |
| 142 | #12436 | C2×C4 | 1 | 8 | yes | complemented |
| 143 | #12313 | C2×C4 | 1 | 8 | yes | complemented |
| 144 | #12312 | C2×C4 | 1 | 8 | yes | complemented |
| 145 | #12311 | C2×C4 | 1 | 8 | yes | complemented |
| 146 | #12310 | C2×C4 | 1 | 8 | yes | complemented |
| 147 | #12047 | — | 2 | 4 | no | — |
| 148 | #12047 | — | 2 | 4 | no | — |
| 149 | #12046 | C2×C4 | 1 | 4 | yes | complemented |
| 150 | #12046 | C2×C4 | 1 | 4 | yes | complemented |
| 151 | #12046 | C2×C4 | 1 | 4 | yes | complemented |
| 152 | #12046 | C2×C4 | 1 | 4 | yes | complemented |
| 153 | C2×#1373 | C23 | 1 | 2 | yes | — |
| 154 | C2×#1373 | C23 | 1 | 2 | yes | — |
| 155 | #11922 | C23 | 1 | 4 | yes | — |
| 156 | #11920 | C23 | 1 | 4 | yes | — |
| 157 | C2×#1335 | C23 | 1 | 4 | yes | — |
| 158 | C2×#1335 | C23 | 1 | 4 | yes | — |
| 159 | C2×#1311 | C23 | 1 | 2 | yes | — |
| 160 | C2×C8×C16 | C23 | 1 | 1 | yes | characteristic |
| 161 | C2×C8×C16 | C23 | 1 | 1 | yes | characteristic |
| 162 | #9856 | C23 | 1 | 4 | yes | — |
| 163 | #9844 | — | 4 | 2 | no | — |
| 164 | #8823 | C23 | 1 | 2 | yes | — |
| 165 | C4×C82 | C23 | 1 | 1 | yes | characteristic |
| 166 | #7270 | C23 | 1 | 8 | yes | — |
| 167 | #7179 | C23 | 1 | 4 | yes | — |
| 168 | #7179 | C23 | 1 | 4 | yes | — |
| 169 | #7160 | C23 | 1 | 4 | yes | — |
| 170 | #3584 | — | 2 | 8 | no | — |
| 171 | #3573 | — | 4 | 4 | no | — |
| 172 | #3417 | — | 2 | 8 | no | — |
| 173 | #3417 | — | 4 | 4 | no | — |
| 174 | #3416 | — | 2 | 16 | no | — |
| 175 | #3416 | — | 4 | 8 | no | — |
| 176 | #3415 | — | 2 | 8 | no | — |
| 177 | #3415 | — | 4 | 4 | no | — |
| 178 | #3414 | — | 2 | 8 | no | — |
| 179 | #3414 | — | 4 | 8 | no | — |
| 180 | C2×#508 | — | 2 | 4 | no | — |
| 181 | C2×#508 | — | 2 | 4 | no | — |
| 182 | C2×#508 | — | 4 | 8 | no | — |
| 183 | C2×#508 | C2×D4 | 1 | 2 | yes | — |
| 184 | C2×#504 | — | 2 | 4 | no | — |
| 185 | C2×#504 | — | 2 | 4 | no | — |
| 186 | #3293 | C22×C4 | 1 | 8 | yes | — |
| 187 | #3292 | C22×C4 | 1 | 8 | yes | — |
| 188 | #3291 | — | 4 | 4 | no | — |
| 189 | #3290 | — | 2 | 16 | no | — |
| 190 | #3169 | — | 4 | 2 | no | — |
| 191 | #3147 | C24 | 1 | 4 | yes | — |
| 192 | #3067 | — | 2 | 8 | no | — |
| 193 | #3018 | — | 4 | 4 | no | — |
| 194 | #2957 | — | 2 | 8 | no | — |
| 195 | #2957 | — | 2 | 8 | no | — |
| 196 | #2957 | — | 4 | 16 | no | — |
| 197 | #2956 | — | 4 | 8 | no | — |
| 198 | #2956 | — | 8 | 8 | no | — |
| 199 | #2955 | — | 4 | 8 | no | — |
| 200 | #2955 | — | 8 | 8 | no | — |
| 201 | C2×#443 | — | 2 | 8 | no | — |
| 202 | C2×#443 | — | 4 | 16 | no | — |
| 203 | C2×#443 | C2×D4 | 1 | 4 | yes | — |
| 204 | C2×#443 | C24 | 1 | 4 | yes | — |
| 205 | C4×#135 | C2×D4 | 1 | 4 | yes | — |
| 206 | #2931 | — | 2 | 4 | no | — |
| 207 | #2916 | — | 2 | 8 | no | — |
| 208 | #2901 | — | 4 | 8 | no | — |
| 209 | C4×#131 | — | 2 | 4 | no | — |
| 210 | #2249 | — | 2 | 4 | no | — |
| 211 | #2249 | — | 2 | 4 | no | — |
| 212 | #2248 | C22×C4 | 1 | 8 | yes | — |
| 213 | #2247 | C22×C4 | 1 | 4 | yes | — |
| 214 | #2246 | C22×C4 | 1 | 4 | yes | — |
| 215 | #2223 | — | 2 | 16 | no | — |
| 216 | #2222 | — | 2 | 8 | no | — |
| 217 | #2221 | — | 2 | 8 | no | — |
| 218 | #2214 | C22×C4 | 1 | 16 | yes | — |
| 219 | #2213 | C22×C4 | 1 | 16 | yes | — |
| 220 | #2212 | — | 2 | 16 | no | — |
| 221 | #2195 | — | 2 | 16 | no | — |
| 222 | #2194 | — | 2 | 16 | no | — |
| 223 | #2193 | — | 2 | 16 | no | — |
| 224 | #2192 | — | 2 | 16 | no | — |
| 225 | #2179 | — | 4 | 8 | no | — |
| 226 | #2179 | — | 4 | 16 | no | — |
| 227 | #2179 | — | 4 | 8 | no | — |
| 228 | #2179 | — | 4 | 16 | no | — |
| 229 | #2179 | — | 4 | 4 | no | — |
| 230 | #2179 | — | 4 | 4 | no | — |
| 231 | #2179 | — | 4 | 4 | no | — |
| 232 | #2179 | — | 4 | 4 | no | — |
| 233 | #2179 | — | 8 | 4 | no | — |
| 234 | #2179 | — | 8 | 4 | no | — |
| 235 | #2179 | D8 | 1 | 8 | yes | complemented |
| 236 | #2179 | D8 | 1 | 8 | yes | complemented |
| 237 | #2178 | — | 4 | 8 | no | — |
| 238 | #2178 | — | 4 | 16 | no | — |
| 239 | #2178 | — | 4 | 8 | no | — |
| 240 | #2178 | — | 4 | 16 | no | — |
| 241 | #2178 | C22×C4 | 1 | 4 | yes | — |
| 242 | #2178 | C22×C4 | 1 | 4 | yes | — |
| 243 | #2178 | #41 | 1 | 4 | yes | — |
| 244 | #2178 | #41 | 1 | 4 | yes | — |
| 245 | #2177 | — | 2 | 2 | no | — |
| 246 | #2176 | — | 2 | 2 | no | — |
| 247 | #2175 | — | 2 | 4 | no | — |
| 248 | #2170 | — | 2 | 8 | no | — |
| 249 | #2170 | — | 2 | 4 | no | — |
| 250 | #2170 | — | 2 | 4 | no | — |
| 251 | #2170 | — | 4 | 4 | no | — |
| 252 | #2170 | C22×C4 | 1 | 8 | yes | — |
| 253 | #2170 | C22×C4 | 1 | 8 | yes | — |
| 254 | #2161 | — | 2 | 8 | no | — |
| 255 | #2161 | — | 4 | 8 | no | — |
| 256 | C2×#368 | — | 2 | 4 | no | — |
| 257 | C2×#368 | — | 2 | 4 | no | — |
| 258 | C2×#368 | — | 4 | 8 | no | — |
| 259 | C2×#368 | C2×D4 | 1 | 2 | yes | — |
| 260 | C2×#368 | C2×D4 | 1 | 2 | yes | — |
| 261 | #2158 | C2×D4 | 1 | 2 | yes | — |
| 262 | C2×#364 | C24 | 1 | 4 | yes | — |
| 263 | C2×#364 | C24 | 1 | 4 | yes | — |
| 264 | #2148 | — | 2 | 8 | no | — |
| 265 | #2145 | — | 2 | 8 | no | — |
| 266 | #2143 | — | 2 | 8 | no | — |
| 267 | #2143 | — | 2 | 8 | no | — |
| 268 | #2143 | — | 4 | 16 | no | — |
| 269 | C2×#359 | — | 2 | 8 | no | — |
| 270 | C2×#359 | — | 2 | 8 | no | — |
| 271 | C2×#359 | — | 4 | 16 | no | — |
| 272 | C2×#359 | C2×D4 | 1 | 4 | yes | — |
| 273 | C2×#359 | C2×D4 | 1 | 4 | yes | — |
| 274 | #2138 | C2×D4 | 1 | 4 | yes | — |
| 275 | C2×#350 | — | 2 | 4 | no | — |
| 276 | C2×#350 | — | 2 | 4 | no | — |
| 277 | #2108 | — | 2 | 4 | no | — |
| 278 | #2108 | — | 2 | 4 | no | — |
| 279 | #2108 | — | 4 | 4 | no | — |
| 280 | #2108 | — | 4 | 4 | no | — |
| 281 | C4×M32 | — | 2 | 4 | no | — |
| 282 | C4×M32 | — | 4 | 4 | no | — |
| 283 | C2×#346 | — | 4 | 4 | no | — |
| 284 | C2×#346 | C2×D4 | 1 | 2 | yes | — |
| 285 | C2×#346 | C2×D4 | 1 | 2 | yes | — |
| 286 | C2×#346 | C2×D4 | 1 | 2 | yes | — |
| 287 | C2×#346 | C2×D4 | 1 | 2 | yes | — |
| 288 | C2×C4×C16 | C24 | 1 | 2 | yes | — |
| 289 | C2×C4×C16 | C24 | 1 | 2 | yes | — |
| 290 | #1976 | — | 2 | 8 | no | — |
| 291 | #1974 | — | 2 | 8 | no | — |
| 292 | #1962 | — | 2 | 4 | no | — |
| 293 | #1953 | — | 2 | 8 | no | — |
| 294 | #1932 | — | 4 | 8 | no | — |
| 295 | #1906 | — | 4 | 8 | no | — |
| 296 | #1884 | — | 4 | 4 | no | — |
| 297 | #1881 | — | 4 | 8 | no | — |
| 298 | #1861 | — | 4 | 8 | no | — |
| 299 | #1858 | — | 4 | 4 | no | — |
| 300 | #1848 | C24 | 1 | 4 | yes | — |
| 301 | #1814 | — | 2 | 8 | no | — |
| 302 | #1794 | — | 4 | 4 | no | — |
| 303 | C4×#108 | C2×D4 | 1 | 4 | yes | — |
| 304 | #1772 | C2×D4 | 1 | 4 | yes | — |
| 305 | #1772 | C24 | 1 | 4 | yes | — |
| 306 | #1764 | — | 2 | 4 | no | — |
| 307 | #1764 | — | 2 | 4 | no | — |
| 308 | C4×#104 | — | 2 | 4 | no | — |
| 309 | #1757 | — | 4 | 4 | no | — |
| 310 | C42×C8 | — | 2 | 1 | no | — |
| 311 | C42×C8 | C24 | 1 | 1 | yes | characteristic |
| 312 | #1713 | C22×C4 | 1 | 2 | yes | — |
| 313 | #1712 | C22×C4 | 1 | 2 | yes | — |
| 314 | #1709 | C22×C4 | 1 | 4 | yes | — |
| 315 | #1706 | — | 4 | 2 | no | — |
| 316 | #1589 | — | 8 | 4 | no | — |
| 317 | C8×D8 | — | 8 | 4 | no | — |
| 318 | #1567 | — | 4 | 2 | no | — |
| 319 | #1492 | — | 4 | 4 | no | — |
| 320 | C2×C82 | — | 2 | 1 | no | — |
| 321 | C2×C82 | C24 | 1 | 1 | yes | characteristic |
| 322 | C2×C82 | C24 | 1 | 1 | yes | characteristic |
| 323 | #1389 | — | 2 | 8 | no | — |
| 324 | #1388 | — | 2 | 8 | no | — |
| 325 | #1382 | C2×D4 | 1 | 4 | yes | — |
| 326 | #1382 | C2×D4 | 1 | 4 | yes | — |
| 327 | #1381 | C2×D4 | 1 | 4 | yes | — |
| 328 | #1379 | — | 2 | 4 | no | — |
| 329 | #1379 | — | 2 | 4 | no | — |
| 330 | #1376 | — | 2 | 4 | no | — |
| 331 | #1373 | — | 2 | 2 | no | — |
| 332 | #1373 | — | 2 | 2 | no | — |
| 333 | #1373 | C22×C4 | 1 | 4 | yes | — |
| 334 | #1373 | C22×C4 | 1 | 4 | yes | — |
| 335 | #1359 | — | 4 | 4 | no | — |
| 336 | #1358 | C22×C4 | 1 | 8 | yes | — |
| 337 | #1357 | C22×C4 | 1 | 8 | yes | — |
| 338 | #1335 | — | 2 | 8 | no | — |
| 339 | #1335 | C22×C4 | 1 | 8 | yes | — |
| 340 | #1335 | C22×C4 | 1 | 8 | yes | — |
| 341 | #1311 | — | 2 | 2 | no | — |
| 342 | #1311 | — | 2 | 2 | no | — |
| 343 | C8×C16 | — | 4 | 1 | no | — |
| 344 | C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 345 | C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 346 | C8×C16 | C22×C4 | 1 | 2 | yes | — |
| 347 | #585 | — | 4 | 4 | no | — |
| 348 | #578 | — | 2 | 16 | no | — |
| 349 | #578 | — | 4 | 8 | no | — |
| 350 | #577 | — | 4 | 16 | no | — |
| 351 | #577 | — | 8 | 8 | no | — |
| 352 | #576 | — | 2 | 16 | no | — |
| 353 | #576 | — | 4 | 8 | no | — |
| 354 | #575 | — | 4 | 8 | no | — |
| 355 | #575 | — | 8 | 8 | no | — |
| 356 | C2×#135 | — | 2 | 8 | no | — |
| 357 | C2×#135 | — | 4 | 16 | no | — |
| 358 | C2×#135 | C22×D4 | 1 | 4 | yes | — |
| 359 | #568 | — | 4 | 4 | no | — |
| 360 | #568 | — | 4 | 8 | no | — |
| 361 | #568 | — | 8 | 16 | no | — |
| 362 | #568 | — | 16 | 4 | no | — |
| 363 | C2×#131 | — | 2 | 4 | no | — |
| 364 | C2×#131 | — | 2 | 4 | no | — |
| 365 | C2×#131 | — | 4 | 4 | no | — |
| 366 | C2×#131 | — | 8 | 16 | no | — |
| 367 | C2×#131 | — | 16 | 4 | no | — |
| 368 | #532 | — | 2 | 4 | no | — |
| 369 | C4×#41 | — | 2 | 4 | no | — |
| 370 | #510 | — | 2 | 16 | no | — |
| 371 | #510 | — | 4 | 8 | no | — |
| 372 | #510 | — | 4 | 16 | no | — |
| 373 | #510 | — | 4 | 16 | no | — |
| 374 | #509 | — | 2 | 16 | no | — |
| 375 | #509 | — | 4 | 8 | no | — |
| 376 | #509 | — | 4 | 16 | no | — |
| 377 | #509 | — | 4 | 16 | no | — |
| 378 | #508 | — | 4 | 16 | no | — |
| 379 | #508 | — | 4 | 8 | no | — |
| 380 | #508 | — | 4 | 16 | no | — |
| 381 | #508 | — | 4 | 8 | no | — |
| 382 | #508 | — | 4 | 4 | no | — |
| 383 | #508 | — | 4 | 4 | no | — |
| 384 | #508 | — | 4 | 4 | no | — |
| 385 | #508 | — | 4 | 4 | no | — |
| 386 | #508 | — | 8 | 4 | no | — |
| 387 | #508 | — | 8 | 4 | no | — |
| 388 | #508 | C4×D4 | 1 | 4 | yes | — |
| 389 | #508 | C4×D4 | 1 | 4 | yes | — |
| 390 | #508 | C2×D8 | 1 | 4 | yes | — |
| 391 | #508 | C2×D8 | 1 | 4 | yes | — |
| 392 | C2×Q32 | — | 2 | 4 | no | — |
| 393 | C2×Q32 | — | 2 | 4 | no | — |
| 394 | C2×Q32 | — | 4 | 8 | no | — |
| 395 | C2×Q32 | #135 | 1 | 2 | yes | — |
| 396 | C2×SD32 | — | 2 | 8 | no | — |
| 397 | C2×SD32 | — | 2 | 8 | no | — |
| 398 | C2×SD32 | — | 4 | 16 | no | — |
| 399 | C2×SD32 | #135 | 1 | 4 | yes | — |
| 400 | C2×D16 | — | 2 | 4 | no | — |
| 401 | C2×D16 | — | 2 | 4 | no | — |
| 402 | C2×D16 | — | 4 | 8 | no | — |
| 403 | C2×D16 | #135 | 1 | 2 | yes | — |
| 404 | #504 | — | 2 | 8 | no | — |
| 405 | #504 | — | 2 | 8 | no | — |
| 406 | #504 | — | 4 | 8 | no | — |
| 407 | #504 | — | 4 | 4 | no | — |
| 408 | #504 | — | 4 | 4 | no | — |
| 409 | #504 | — | 8 | 4 | no | — |
| 410 | C2×M32 | — | 2 | 4 | no | — |
| 411 | C2×M32 | — | 2 | 4 | no | — |
| 412 | C2×M32 | — | 4 | 4 | no | — |
| 413 | C2×M32 | — | 4 | 4 | no | — |
| 414 | C22×C16 | — | 4 | 4 | no | — |
| 415 | C22×C16 | — | 4 | 4 | no | — |
| 416 | C22×C16 | C22×D4 | 1 | 2 | yes | — |
| 417 | C22×C16 | C22×D4 | 1 | 2 | yes | — |
| 418 | C22×C16 | C22×D4 | 1 | 2 | yes | — |
| 419 | C22×C16 | C22×D4 | 1 | 2 | yes | — |
| 420 | #500 | — | 4 | 2 | no | — |
| 421 | #495 | — | 2 | 8 | no | — |
| 422 | #494 | C23×C4 | 1 | 4 | yes | — |
| 423 | #493 | — | 4 | 2 | no | — |
| 424 | #493 | C23×C4 | 1 | 4 | yes | — |
| 425 | #492 | — | 2 | 4 | no | — |
| 426 | #486 | — | 4 | 4 | no | — |
| 427 | #473 | — | 2 | 16 | no | — |
| 428 | #472 | — | 2 | 16 | no | — |
| 429 | #471 | — | 4 | 16 | no | — |
| 430 | #466 | — | 8 | 4 | no | — |
| 431 | #456 | — | 4 | 8 | no | — |
| 432 | #455 | — | 4 | 8 | no | — |
| 433 | #454 | — | 4 | 8 | no | — |
| 434 | #453 | — | 4 | 8 | no | — |
| 435 | #444 | — | 8 | 16 | no | — |
| 436 | #444 | — | 8 | 8 | no | — |
| 437 | #444 | — | 8 | 8 | no | — |
| 438 | #444 | — | 8 | 16 | no | — |
| 439 | #443 | — | 2 | 8 | no | — |
| 440 | #443 | — | 2 | 4 | no | — |
| 441 | #443 | — | 2 | 4 | no | — |
| 442 | #443 | — | 4 | 16 | no | — |
| 443 | #443 | — | 4 | 16 | no | — |
| 444 | #443 | — | 4 | 8 | no | — |
| 445 | #443 | — | 4 | 8 | no | — |
| 446 | #443 | — | 4 | 8 | no | — |
| 447 | #443 | — | 4 | 8 | no | — |
| 448 | #443 | — | 8 | 16 | no | — |
| 449 | #443 | — | 8 | 16 | no | — |
| 450 | #443 | C2×D8 | 1 | 16 | yes | — |
| 451 | #443 | C23×C4 | 1 | 8 | yes | — |
| 452 | #443 | C2×#41 | 1 | 8 | yes | — |
| 453 | C4×Q16 | — | 2 | 4 | no | — |
| 454 | C4×SD16 | — | 4 | 4 | no | — |
| 455 | C4×D8 | — | 2 | 4 | no | — |
| 456 | C4×D8 | — | 8 | 4 | no | — |
| 457 | #436 | — | 8 | 4 | no | — |
| 458 | C8×D4 | — | 8 | 4 | no | — |
| 459 | #430 | — | 4 | 8 | no | — |
| 460 | #430 | — | 8 | 8 | no | — |
| 461 | C2×#108 | — | 2 | 8 | no | — |
| 462 | C2×#108 | — | 4 | 16 | no | — |
| 463 | C2×#108 | C22×D4 | 1 | 4 | yes | — |
| 464 | C2×#108 | C22×D4 | 1 | 4 | yes | — |
| 465 | #427 | C22×D4 | 1 | 4 | yes | — |
| 466 | #423 | — | 2 | 4 | no | — |
| 467 | #421 | — | 4 | 8 | no | — |
| 468 | #421 | — | 4 | 8 | no | — |
| 469 | #421 | — | 8 | 16 | no | — |
| 470 | C2×#104 | — | 2 | 4 | no | — |
| 471 | C2×#104 | — | 2 | 4 | no | — |
| 472 | C2×#104 | — | 4 | 8 | no | — |
| 473 | C2×#104 | — | 8 | 16 | no | — |
| 474 | #416 | — | 2 | 4 | no | — |
| 475 | #413 | — | 4 | 4 | no | — |
| 476 | #410 | — | 4 | 4 | no | — |
| 477 | #408 | — | 4 | 4 | no | — |
| 478 | #405 | — | 2 | 4 | no | — |
| 479 | #405 | — | 2 | 4 | no | — |
| 480 | #405 | — | 4 | 4 | no | — |
| 481 | #405 | — | 4 | 4 | no | — |
| 482 | C4×M16 | — | 2 | 4 | no | — |
| 483 | C4×M16 | — | 4 | 4 | no | — |
| 484 | C2×C4×C8 | — | 2 | 1 | no | — |
| 485 | C2×C4×C8 | — | 2 | 1 | no | — |
| 486 | C2×C4×C8 | — | 4 | 4 | no | — |
| 487 | C2×C4×C8 | — | 4 | 2 | no | — |
| 488 | C2×C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 489 | C2×C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 490 | C2×C4×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 491 | C2×C4×C8 | C25 | 1 | 1 | yes | characteristic |
| 492 | C43 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 493 | #368 | — | 4 | 4 | no | — |
| 494 | #368 | — | 4 | 4 | no | — |
| 495 | #368 | — | 4 | 16 | no | — |
| 496 | #368 | — | 8 | 4 | no | — |
| 497 | #368 | C4×D4 | 1 | 4 | yes | — |
| 498 | #368 | C4×D4 | 1 | 4 | yes | — |
| 499 | #368 | C2×D8 | 1 | 4 | yes | — |
| 500 | #368 | C2×D8 | 1 | 4 | yes | — |
| 501 | #367 | — | 2 | 2 | no | — |
| 502 | #366 | — | 2 | 2 | no | — |
| 503 | #364 | — | 2 | 4 | no | — |
| 504 | #364 | — | 2 | 4 | no | — |
| 505 | #364 | — | 2 | 4 | no | — |
| 506 | #364 | C23×C4 | 1 | 8 | yes | — |
| 507 | #362 | — | 2 | 16 | no | — |
| 508 | #361 | — | 2 | 16 | no | — |
| 509 | #360 | — | 8 | 8 | no | — |
| 510 | #359 | — | 4 | 16 | no | — |
| 511 | #359 | — | 4 | 8 | no | — |
| 512 | #359 | — | 4 | 8 | no | — |
| 513 | #359 | — | 4 | 16 | no | — |
| 514 | #359 | — | 8 | 8 | no | — |
| 515 | #359 | C4×D4 | 1 | 8 | yes | — |
| 516 | #359 | C4×D4 | 1 | 8 | yes | — |
| 517 | #359 | C2×D8 | 1 | 16 | yes | — |
| 518 | #358 | — | 2 | 4 | no | — |
| 519 | #357 | — | 2 | 4 | no | — |
| 520 | #350 | — | 2 | 8 | no | — |
| 521 | #350 | — | 2 | 8 | no | — |
| 522 | #350 | — | 4 | 8 | no | — |
| 523 | #346 | — | 2 | 2 | no | — |
| 524 | #346 | — | 2 | 2 | no | — |
| 525 | #346 | — | 2 | 4 | no | — |
| 526 | #346 | — | 4 | 2 | no | — |
| 527 | #346 | — | 4 | 4 | no | — |
| 528 | #346 | — | 4 | 4 | no | — |
| 529 | #346 | — | 4 | 4 | no | — |
| 530 | #346 | C2×D8 | 1 | 4 | yes | — |
| 531 | #346 | C2×D8 | 1 | 4 | yes | — |
| 532 | C4×C16 | — | 2 | 2 | no | — |
| 533 | C4×C16 | — | 2 | 2 | no | — |
| 534 | C4×C16 | — | 4 | 4 | no | — |
| 535 | C4×C16 | — | 4 | 4 | no | — |
| 536 | C4×C16 | — | 4 | 4 | no | — |
| 537 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 538 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 539 | C4×C16 | C2×#41 | 1 | 2 | yes | — |
| 540 | C4×C16 | C2×#41 | 1 | 2 | yes | — |
| 541 | #344 | — | 4 | 8 | no | — |
| 542 | #341 | — | 2 | 4 | no | — |
| 543 | #339 | — | 2 | 4 | no | — |
| 544 | #339 | — | 2 | 4 | no | — |
| 545 | #335 | — | 8 | 4 | no | — |
| 546 | D4⋊C8 | — | 8 | 8 | no | — |
| 547 | C82 | — | 2 | 4 | no | — |
| 548 | C82 | — | 2 | 1 | no | — |
| 549 | C82 | — | 2 | 2 | no | — |
| 550 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 551 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 552 | 2−1+4 | — | 4 | 8 | no | — |
| 553 | 2−1+4 | — | 8 | 8 | no | — |
| 554 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 555 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 556 | H(5,𝔽2) | — | 16 | 4 | no | — |
| 557 | C2×#41 | — | 2 | 4 | no | — |
| 558 | C2×#41 | — | 4 | 4 | no | — |
| 559 | C2×#41 | — | 8 | 16 | no | — |
| 560 | C2×#41 | — | 16 | 4 | no | — |
| 561 | #137 | — | 4 | 16 | no | — |
| 562 | #137 | — | 8 | 16 | no | — |
| 563 | #137 | — | 8 | 16 | no | — |
| 564 | #137 | — | 8 | 8 | no | — |
| 565 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 566 | AGL(1,ℤ/8) | — | 8 | 16 | no | — |
| 567 | AGL(1,ℤ/8) | — | 8 | 16 | no | — |
| 568 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 569 | #135 | — | 2 | 4 | no | — |
| 570 | #135 | — | 2 | 4 | no | — |
| 571 | #135 | — | 4 | 16 | no | — |
| 572 | #135 | — | 4 | 16 | no | — |
| 573 | #135 | — | 4 | 8 | no | — |
| 574 | #135 | — | 4 | 8 | no | — |
| 575 | #135 | — | 4 | 8 | no | — |
| 576 | #135 | — | 4 | 8 | no | — |
| 577 | #135 | — | 8 | 16 | no | — |
| 578 | #135 | — | 8 | 16 | no | — |
| 579 | #135 | C2×C4×D4 | 1 | 8 | yes | — |
| 580 | #135 | C22×D8 | 1 | 8 | yes | — |
| 581 | C2×Q16 | — | 2 | 8 | no | — |
| 582 | C2×Q16 | — | 4 | 16 | no | — |
| 583 | C2×Q16 | C2×#135 | 1 | 4 | yes | — |
| 584 | C2×SD16 | — | 2 | 4 | no | — |
| 585 | C2×SD16 | — | 4 | 8 | no | — |
| 586 | C2×SD16 | — | 8 | 16 | no | — |
| 587 | C2×D8 | — | 2 | 8 | no | — |
| 588 | C2×D8 | — | 4 | 16 | no | — |
| 589 | C2×D8 | — | 8 | 4 | no | — |
| 590 | C2×D8 | C2×#135 | 1 | 4 | yes | — |
| 591 | #131 | — | 2 | 8 | no | — |
| 592 | #131 | — | 2 | 8 | no | — |
| 593 | #131 | — | 2 | 16 | no | — |
| 594 | #131 | — | 4 | 4 | no | — |
| 595 | #131 | — | 4 | 8 | no | — |
| 596 | #131 | — | 4 | 4 | no | — |
| 597 | #131 | — | 8 | 16 | no | — |
| 598 | #131 | — | 8 | 16 | no | — |
| 599 | #131 | — | 8 | 8 | no | — |
| 600 | #131 | — | 8 | 8 | no | — |
| 601 | #131 | — | 16 | 8 | no | — |
| 602 | #131 | — | 16 | 16 | no | — |
| 603 | #131 | — | 16 | 8 | no | — |
| 604 | #131 | — | 16 | 8 | no | — |
| 605 | C2×M16 | — | 2 | 4 | no | — |
| 606 | C2×M16 | — | 2 | 4 | no | — |
| 607 | C2×M16 | — | 4 | 4 | no | — |
| 608 | C2×M16 | — | 4 | 4 | no | — |
| 609 | C2×M16 | — | 4 | 4 | no | — |
| 610 | C2×M16 | — | 8 | 4 | no | — |
| 611 | C2×M16 | — | 8 | 16 | no | — |
| 612 | C2×M16 | — | 16 | 16 | no | — |
| 613 | C2×M16 | — | 16 | 4 | no | — |
| 614 | C2×M16 | — | 16 | 8 | no | — |
| 615 | C22×C8 | — | 2 | 2 | no | — |
| 616 | C22×C8 | — | 4 | 4 | no | — |
| 617 | C22×C8 | — | 4 | 4 | no | — |
| 618 | C22×C8 | — | 4 | 1 | no | — |
| 619 | C22×C8 | — | 8 | 4 | no | — |
| 620 | C22×C8 | — | 16 | 8 | no | — |
| 621 | C22×C8 | D42 | 1 | 1 | yes | characteristic |
| 622 | C22×C8 | D42 | 1 | 1 | yes | characteristic |
| 623 | C22×C8 | C23×D4 | 1 | 2 | yes | — |
| 624 | C4⋊Q8 | — | 2 | 4 | no | — |
| 625 | #127 | — | 2 | 4 | no | — |
| 626 | #124 | — | 4 | 4 | no | — |
| 627 | #121 | — | 8 | 4 | no | — |
| 628 | C4×Q8 | — | 4 | 4 | no | — |
| 629 | C4×D4 | — | 4 | 4 | no | — |
| 630 | C4×D4 | — | 8 | 4 | no | — |
| 631 | C4×D4 | — | 8 | 4 | no | — |
| 632 | #117 | — | 2 | 4 | no | — |
| 633 | #117 | — | 4 | 4 | no | — |
| 634 | C2×C42 | — | 4 | 4 | no | — |
| 635 | C2×C42 | — | 4 | 1 | no | — |
| 636 | C2×C42 | D42 | 1 | 2 | yes | — |
| 637 | C2×C42 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 638 | Q32 | — | 4 | 16 | no | — |
| 639 | Q32 | — | 4 | 4 | no | — |
| 640 | Q32 | — | 4 | 4 | no | — |
| 641 | Q32 | — | 8 | 4 | no | — |
| 642 | Q32 | C4×D8 | 1 | 4 | yes | — |
| 643 | Q32 | C4×D8 | 1 | 4 | yes | — |
| 644 | SD32 | — | 4 | 16 | no | — |
| 645 | SD32 | — | 4 | 16 | no | — |
| 646 | SD32 | — | 4 | 8 | no | — |
| 647 | SD32 | — | 4 | 8 | no | — |
| 648 | SD32 | — | 8 | 8 | no | — |
| 649 | SD32 | C4×D8 | 1 | 8 | yes | — |
| 650 | SD32 | C4×D8 | 1 | 8 | yes | — |
| 651 | D16 | — | 4 | 16 | no | — |
| 652 | D16 | — | 4 | 4 | no | — |
| 653 | D16 | — | 4 | 4 | no | — |
| 654 | D16 | — | 8 | 4 | no | — |
| 655 | D16 | C4×D8 | 1 | 4 | yes | — |
| 656 | D16 | C4×D8 | 1 | 4 | yes | — |
| 657 | M32 | — | 2 | 8 | no | — |
| 658 | M32 | — | 4 | 4 | no | — |
| 659 | M32 | — | 4 | 8 | no | — |
| 660 | M32 | — | 4 | 8 | no | — |
| 661 | M32 | — | 4 | 4 | no | — |
| 662 | M32 | — | 4 | 4 | no | — |
| 663 | M32 | — | 8 | 8 | no | — |
| 664 | C2×C16 | — | 2 | 2 | no | — |
| 665 | C2×C16 | — | 2 | 2 | no | — |
| 666 | C2×C16 | — | 2 | 2 | no | — |
| 667 | C2×C16 | — | 2 | 2 | no | — |
| 668 | C2×C16 | — | 2 | 2 | no | — |
| 669 | C2×C16 | — | 2 | 2 | no | — |
| 670 | C2×C16 | — | 2 | 2 | no | — |
| 671 | C2×C16 | — | 4 | 4 | no | — |
| 672 | C2×C16 | — | 4 | 8 | no | — |
| 673 | C2×C16 | — | 4 | 8 | no | — |
| 674 | C2×C16 | — | 4 | 4 | no | — |
| 675 | C2×C16 | — | 8 | 8 | no | — |
| 676 | C2×C16 | C2×C4×D4 | 1 | 2 | yes | — |
| 677 | C2×C16 | C2×C4×D4 | 1 | 2 | yes | — |
| 678 | C2×C16 | C2×C4×D4 | 1 | 2 | yes | — |
| 679 | C2×C16 | C2×C4×D4 | 1 | 2 | yes | — |
| 680 | C2×C16 | C22×D8 | 1 | 4 | yes | — |
| 681 | C2×C16 | C22×D8 | 1 | 2 | yes | — |
| 682 | C2×C16 | C22×D8 | 1 | 2 | yes | — |
| 683 | C2×C16 | C2×#135 | 1 | 2 | yes | — |
| 684 | C2×C16 | C2×#135 | 1 | 2 | yes | — |
| 685 | #108 | — | 2 | 4 | no | — |
| 686 | #108 | — | 2 | 4 | no | — |
| 687 | #108 | — | 4 | 8 | no | — |
| 688 | #108 | — | 4 | 8 | no | — |
| 689 | #108 | — | 8 | 16 | no | — |
| 690 | #108 | C2×C4×D4 | 1 | 8 | yes | — |
| 691 | #108 | C22×D8 | 1 | 8 | yes | — |
| 692 | #107 | — | 2 | 4 | no | — |
| 693 | #107 | — | 8 | 4 | no | — |
| 694 | #106 | — | 2 | 4 | no | — |
| 695 | C4⋊C8 | — | 8 | 4 | no | — |
| 696 | #104 | — | 2 | 8 | no | — |
| 697 | #104 | — | 2 | 8 | no | — |
| 698 | #104 | — | 2 | 16 | no | — |
| 699 | #104 | — | 8 | 16 | no | — |
| 700 | #104 | — | 8 | 16 | no | — |
| 701 | #104 | — | 8 | 8 | no | — |
| 702 | #104 | — | 8 | 8 | no | — |
| 703 | #103 | — | 4 | 4 | no | — |
| 704 | #102 | — | 4 | 4 | no | — |
| 705 | #102 | — | 8 | 8 | no | — |
| 706 | #101 | — | 4 | 8 | no | — |
| 707 | #100 | — | 4 | 8 | no | — |
| 708 | #99 | — | 16 | 4 | no | — |
| 709 | C22⋊C8 | — | 16 | 4 | no | — |
| 710 | #97 | — | 4 | 4 | no | — |
| 711 | #97 | — | 4 | 4 | no | — |
| 712 | #97 | — | 4 | 4 | no | — |
| 713 | C4×C8 | — | 2 | 2 | no | — |
| 714 | C4×C8 | — | 2 | 2 | no | — |
| 715 | C4×C8 | — | 2 | 2 | no | — |
| 716 | C4×C8 | — | 2 | 2 | no | — |
| 717 | C4×C8 | — | 2 | 2 | no | — |
| 718 | C4×C8 | — | 2 | 1 | no | — |
| 719 | C4×C8 | — | 2 | 1 | no | — |
| 720 | C4×C8 | — | 4 | 4 | no | — |
| 721 | C4×C8 | — | 4 | 4 | no | — |
| 722 | C4×C8 | — | 4 | 1 | no | — |
| 723 | C4×C8 | — | 4 | 4 | no | — |
| 724 | C4×C8 | — | 8 | 4 | no | — |
| 725 | C4×C8 | C22×D8 | 1 | 4 | yes | — |
| 726 | C4×C8 | #576 | 1 | 4 | yes | — |
| 727 | C4×C8 | C24×C4 | 1 | 1 | yes | characteristic |
| 728 | C4×C8 | C22×#41 | 1 | 2 | yes | — |
| 729 | C4×C8 | #585 | 1 | 1 | yes | characteristic |
| 730 | #41 | — | 2 | 8 | no | — |
| 731 | #41 | — | 2 | 8 | no | — |
| 732 | #41 | — | 4 | 4 | no | — |
| 733 | #41 | — | 4 | 4 | no | — |
| 734 | #41 | — | 8 | 16 | no | — |
| 735 | #41 | — | 8 | 16 | no | — |
| 736 | #41 | — | 8 | 8 | no | — |
| 737 | #41 | — | 8 | 8 | no | — |
| 738 | #41 | — | 16 | 8 | no | — |
| 739 | #41 | — | 16 | 16 | no | — |
| 740 | #41 | — | 16 | 8 | no | — |
| 741 | #41 | — | 16 | 8 | no | — |
| 742 | C2×Q8 | — | 2 | 4 | no | — |
| 743 | C2×Q8 | — | 4 | 4 | no | — |
| 744 | C2×Q8 | — | 8 | 16 | no | — |
| 745 | C2×Q8 | — | 16 | 4 | no | — |
| 746 | C2×D4 | — | 2 | 4 | no | — |
| 747 | C2×D4 | — | 4 | 4 | no | — |
| 748 | C2×D4 | — | 4 | 4 | no | — |
| 749 | C2×D4 | — | 8 | 4 | no | — |
| 750 | C2×D4 | — | 8 | 16 | no | — |
| 751 | C2×D4 | — | 8 | 4 | no | — |
| 752 | C2×D4 | — | 16 | 8 | no | — |
| 753 | C2×D4 | — | 16 | 4 | no | — |
| 754 | C2×D4 | — | 16 | 16 | no | — |
| 755 | C22×C4 | — | 2 | 1 | no | — |
| 756 | C22×C4 | — | 2 | 2 | no | — |
| 757 | C22×C4 | — | 4 | 4 | no | — |
| 758 | C22×C4 | — | 8 | 4 | no | — |
| 759 | C22×C4 | — | 8 | 4 | no | — |
| 760 | C22×C4 | — | 16 | 8 | no | — |
| 761 | C22×C4 | C2×D42 | 1 | 1 | yes | characteristic |
| 762 | Q16 | — | 2 | 4 | no | — |
| 763 | Q16 | — | 4 | 8 | no | — |
| 764 | Q16 | — | 4 | 8 | no | — |
| 765 | Q16 | — | 8 | 16 | no | — |
| 766 | Q16 | C2×C4×D8 | 1 | 8 | yes | — |
| 767 | SD16 | — | 2 | 8 | no | — |
| 768 | SD16 | — | 2 | 8 | no | — |
| 769 | SD16 | — | 8 | 16 | no | — |
| 770 | SD16 | — | 8 | 16 | no | — |
| 771 | SD16 | — | 8 | 8 | no | — |
| 772 | SD16 | — | 8 | 8 | no | — |
| 773 | D8 | — | 2 | 4 | no | — |
| 774 | D8 | — | 4 | 8 | no | — |
| 775 | D8 | — | 4 | 8 | no | — |
| 776 | D8 | — | 8 | 16 | no | — |
| 777 | D8 | — | 16 | 8 | no | — |
| 778 | D8 | C2×C4×D8 | 1 | 8 | yes | — |
| 779 | M16 | — | 2 | 8 | no | — |
| 780 | M16 | — | 2 | 8 | no | — |
| 781 | M16 | — | 4 | 4 | no | — |
| 782 | M16 | — | 4 | 4 | no | — |
| 783 | M16 | — | 4 | 8 | no | — |
| 784 | M16 | — | 4 | 8 | no | — |
| 785 | M16 | — | 4 | 16 | no | — |
| 786 | M16 | — | 8 | 8 | no | — |
| 787 | M16 | — | 16 | 8 | no | — |
| 788 | M16 | — | 16 | 16 | no | — |
| 789 | M16 | — | 16 | 8 | no | — |
| 790 | C2×C8 | — | 2 | 2 | no | — |
| 791 | C2×C8 | — | 2 | 2 | no | — |
| 792 | C2×C8 | — | 2 | 2 | no | — |
| 793 | C2×C8 | — | 2 | 1 | no | — |
| 794 | C2×C8 | — | 4 | 4 | no | — |
| 795 | C2×C8 | — | 4 | 4 | no | — |
| 796 | C2×C8 | — | 4 | 4 | no | — |
| 797 | C2×C8 | — | 4 | 8 | no | — |
| 798 | C2×C8 | — | 4 | 8 | no | — |
| 799 | C2×C8 | — | 4 | 16 | no | — |
| 800 | C2×C8 | — | 4 | 2 | no | — |
| 801 | C2×C8 | — | 8 | 2 | no | — |
| 802 | C2×C8 | — | 8 | 4 | no | — |
| 803 | C2×C8 | — | 16 | 8 | no | — |
| 804 | C2×C8 | — | 16 | 16 | no | — |
| 805 | C2×C8 | — | 16 | 4 | no | — |
| 806 | C2×C8 | — | 16 | 4 | no | — |
| 807 | C2×C8 | D4×D8 | 1 | 4 | yes | — |
| 808 | C2×C8 | #3292 | 1 | 2 | yes | — |
| 809 | C2×C8 | C22×C4×D4 | 1 | 2 | yes | — |
| 810 | C2×C8 | D4×#41 | 1 | 2 | yes | — |
| 811 | C2×C8 | C23×D8 | 1 | 2 | yes | — |
| 812 | C2×C8 | C22×#135 | 1 | 2 | yes | — |
| 813 | C2×C8 | C2×#576 | 1 | 2 | yes | — |
| 814 | C2×C8 | #3584 | 1 | 2 | yes | — |
| 815 | C4⋊C4 | — | 4 | 4 | no | — |
| 816 | C4⋊C4 | — | 8 | 4 | no | — |
| 817 | C4⋊C4 | — | 8 | 4 | no | — |
| 818 | C22⋊C4 | — | 4 | 4 | no | — |
| 819 | C22⋊C4 | — | 8 | 4 | no | — |
| 820 | C22⋊C4 | — | 16 | 4 | no | — |
| 821 | C42 | — | 2 | 2 | no | — |
| 822 | C42 | — | 2 | 1 | no | — |
| 823 | C42 | — | 4 | 4 | no | — |
| 824 | C42 | — | 8 | 4 | no | — |
| 825 | C42 | — | 8 | 2 | no | — |
| 826 | C42 | D4×D8 | 1 | 4 | yes | — |
| 827 | C42 | C4×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 828 | C42 | #3481 | 1 | 1 | yes | characteristic |
| 829 | C16 | — | 2 | 2 | no | — |
| 830 | C16 | — | 2 | 2 | no | — |
| 831 | C16 | — | 2 | 4 | no | — |
| 832 | C16 | — | 4 | 8 | no | — |
| 833 | C16 | — | 4 | 2 | no | — |
| 834 | C16 | — | 8 | 4 | no | — |
| 835 | C16 | C2×C4×D8 | 1 | 2 | yes | — |
| 836 | C16 | C2×C4×D8 | 1 | 2 | yes | — |
| 837 | C16 | C2×C4×D8 | 1 | 2 | yes | — |
| 838 | C16 | C2×C4×D8 | 1 | 2 | yes | — |
| 839 | C23 | — | 4 | 4 | no | — |
| 840 | C23 | — | 8 | 4 | no | — |
| 841 | C23 | — | 16 | 8 | no | — |
| 842 | C23 | #61105 | 1 | 1 | yes | characteristic |
| 843 | Q8 | — | 2 | 8 | no | — |
| 844 | Q8 | — | 4 | 4 | no | — |
| 845 | Q8 | — | 8 | 8 | no | — |
| 846 | Q8 | — | 16 | 8 | no | — |
| 847 | D4 | — | 2 | 8 | no | — |
| 848 | D4 | — | 4 | 8 | no | — |
| 849 | D4 | — | 4 | 8 | no | — |
| 850 | D4 | — | 4 | 4 | no | — |
| 851 | D4 | — | 8 | 8 | no | — |
| 852 | D4 | — | 16 | 8 | no | — |
| 853 | D4 | — | 16 | 16 | no | — |
| 854 | D4 | — | 16 | 8 | no | — |
| 855 | D4 | — | 16 | 8 | no | — |
| 856 | C2×C4 | — | 2 | 1 | no | — |
| 857 | C2×C4 | — | 2 | 4 | no | — |
| 858 | C2×C4 | — | 2 | 1 | no | — |
| 859 | C2×C4 | — | 4 | 2 | no | — |
| 860 | C2×C4 | — | 4 | 4 | no | — |
| 861 | C2×C4 | — | 4 | 8 | no | — |
| 862 | C2×C4 | — | 4 | 8 | no | — |
| 863 | C2×C4 | — | 8 | 2 | no | — |
| 864 | C2×C4 | — | 8 | 4 | no | — |
| 865 | C2×C4 | — | 8 | 4 | no | — |
| 866 | C2×C4 | — | 16 | 8 | no | — |
| 867 | C2×C4 | — | 16 | 16 | no | — |
| 868 | C2×C4 | — | 16 | 4 | no | — |
| 869 | C2×C4 | — | 16 | 4 | no | — |
| 870 | C2×C4 | — | 32 | 4 | no | — |
| 871 | C2×C4 | C4×D42 | 1 | 1 | yes | characteristic |
| 872 | C2×C4 | C2×D4×D8 | 1 | 2 | yes | — |
| 873 | C2×C4 | D4×#135 | 1 | 2 | yes | — |
| 874 | C2×C4 | C2×#3292 | 1 | 1 | yes | characteristic |
| 875 | C8 | — | 2 | 4 | no | — |
| 876 | C8 | — | 4 | 2 | no | — |
| 877 | C8 | — | 4 | 8 | no | — |
| 878 | C8 | — | 4 | 1 | no | — |
| 879 | C8 | — | 4 | 8 | no | — |
| 880 | C8 | — | 8 | 2 | no | — |
| 881 | C8 | — | 16 | 4 | no | — |
| 882 | C8 | D82 | 1 | 4 | yes | — |
| 883 | C8 | C22×C4×D8 | 1 | 2 | yes | — |
| 884 | C8 | C4×#576 | 1 | 2 | yes | — |
| 885 | C8 | D8×#41 | 1 | 2 | yes | — |
| 886 | C8 | #61431 | 1 | 2 | yes | — |
| 887 | C22 | — | 4 | 1 | no | — |
| 888 | C22 | — | 4 | 8 | no | — |
| 889 | C22 | — | 16 | 4 | no | — |
| 890 | C22 | — | 16 | 4 | no | — |
| 891 | C22 | — | 32 | 4 | no | — |
| 892 | C22 | — | 64 | 8 | no | — |
| 893 | C22 | D8×#135 | 1 | 2 | yes | — |
| 894 | C22 | C4×#3292 | 1 | 1 | yes | characteristic |
| 895 | C4 | — | 2 | 2 | no | — |
| 896 | C4 | — | 4 | 1 | no | — |
| 897 | C4 | — | 4 | 4 | no | — |
| 898 | C4 | — | 4 | 8 | no | — |
| 899 | C4 | — | 16 | 4 | no | — |
| 900 | C4 | — | 16 | 4 | no | — |
| 901 | C4 | C2×D82 | 1 | 1 | yes | characteristic |
| 902 | C4 | #6358420 | 1 | 1 | yes | characteristic |
| 903 | C4 | C4×D4×D8 | 1 | 2 | yes | — |
| 904 | C2 | — | 2 | 1 | no | — |
| 905 | C2 | — | 2 | 2 | no | — |
| 906 | C2 | — | 8 | 8 | no | — |
| 907 | C2 | — | 32 | 4 | no | — |
| 908 | C2 | C4×D82 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C4 | C2×D82 |
| commutator | C4×C8 | C24×C4 |
| Frattini, cosocle | C2×C4×C8 | C25 |
| socle | C2 | C4×D82 |
| prime radical | #72225394 | C2 |
| LCS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C4 ◁ C22×C8 ◁ C42×C8 ◁ G | |
| LECS | G ▷ C2×C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72225406 | C2 | semidirect |
| 2. #72225403 | C2 | semidirect |
| 3. #72225401 | C2 | semidirect |
| 4. #72225399 | C2 | semidirect |
| 5. #72225396 | C2 | semidirect |
| 7. #72225390 | C2 | semidirect |
| 8. #72225389 | C2 | semidirect |
| 9. #72225388 | C2 | semidirect |
| 10. #72216249 | C2 | semidirect |
| 11. #72216211 | C2 | semidirect |
| 14. #6383885 | C22 | semidirect |
| 15. #498569 | C22 | semidirect |
| 17. #498314 | C22 | semidirect |
| 20. #497857 | C22 | semidirect |
| 22. #497407 | C22 | semidirect |
| 23. #496112 | C22 | semidirect |
| 25. #495835 | C22 | semidirect |
| 28. #493217 | C22 | semidirect |
| 29. #492533 | C4 | semidirect |
| 30. #492532 | C4 | semidirect |
| 31. #492531 | C4 | semidirect |
| 32. #492530 | C4 | semidirect |
| 38. #213237 | C22 | semidirect |
| 39. #141684 | C22 | semidirect |
| 40. #141671 | C22 | semidirect |
| 41. #141262 | C22 | semidirect |
| 42. #140438 | C22 | semidirect |
| 43. #140230 | C22 | semidirect |
| 44. #138657 | C22 | semidirect |
| 45. #137550 | C22 | semidirect |
| 46. #136867 | C22 | semidirect |
| 47. #136490 | C22 | semidirect |
| 48. #136326 | C22 | semidirect |
| 49. #135781 | C22 | semidirect |
| 50. #134971 | C22 | semidirect |
| 51. #131834 | C22 | semidirect |
| 52. #129143 | C22 | semidirect |
| 53. #129142 | C22 | semidirect |
| 54. #129101 | C22 | semidirect |
| 55. #128897 | C22 | semidirect |
| 56. #128674 | C22 | semidirect |
| 57. #128673 | C22 | semidirect |
| 58. C4×#1335 | C22 | semidirect |
| 59. C8×#346 | C22 | semidirect |
| 63. #33860 | C2×C4 | semidirect |
| 65. #33858 | C2×C4 | semidirect |
| 67. #33856 | C2×C4 | semidirect |
| 136. #12518 | C2×C4 | semidirect |
| 137. #12517 | C2×C4 | semidirect |
| 138. #12516 | C2×C4 | semidirect |
| 139. #12515 | C2×C4 | semidirect |
| 140. #12438 | C2×C4 | semidirect |
| 141. #12437 | C2×C4 | semidirect |
| 142. #12436 | C2×C4 | semidirect |
| 143. #12313 | C2×C4 | semidirect |
| 144. #12312 | C2×C4 | semidirect |
| 145. #12311 | C2×C4 | semidirect |
| 146. #12310 | C2×C4 | semidirect |
| 149. #12046 | C2×C4 | semidirect |
| 150. #12046 | C2×C4 | semidirect |
| 151. #12046 | C2×C4 | semidirect |
| 152. #12046 | C2×C4 | semidirect |
| 235. #2179 | D8 | semidirect |
| 236. #2179 | D8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72225406 | 2 |
| #72225403 | 2 |
| #72225401 | 2 |
| #72225399 | 2 |
| #72225396 | 2 |
| #72225394 | 2 |
| #72225390 | 2 |
| #72225389 | 2 |
| #72225388 | 2 |
| #72216249 | 2 |
| #72216211 | 2 |