Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
5411 conjugacy classes of subgroups.
The subgroup lattice has 858 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#62328 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #7622580 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #6386779 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #497559 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | D4×#361 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | #496605 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #496282 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #495568 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #494647 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | C2×#3549 | — | 2 | 1 | no | — |
| 11 | C2×#3407 | C22 | 1 | 2 | yes | complemented |
| 12 | #62328 | — | 2 | 2 | no | — |
| 13 | #62328 | — | 2 | 2 | no | — |
| 14 | #62328 | — | 2 | 4 | no | — |
| 15 | #62328 | C4 | 1 | 4 | yes | — |
| 16 | #62328 | C4 | 1 | 4 | yes | — |
| 17 | #62328 | C4 | 1 | 8 | yes | — |
| 18 | C2×#3341 | C22 | 1 | 4 | yes | — |
| 19 | C2×#3325 | — | 2 | 4 | no | — |
| 20 | C2×D4×D8 | C22 | 1 | 4 | yes | — |
| 21 | C2×#3253 | — | 2 | 1 | no | — |
| 22 | C2×#3199 | — | 2 | 2 | no | — |
| 23 | C2×#3169 | C22 | 1 | 2 | yes | — |
| 24 | C2×#3058 | C22 | 1 | 4 | yes | — |
| 25 | #60232 | — | 2 | 1 | no | — |
| 26 | C2×#2931 | C22 | 1 | 1 | yes | characteristic |
| 27 | #33438 | — | 2 | 4 | no | — |
| 28 | D4×M32 | C22 | 1 | 8 | yes | complemented |
| 29 | #33435 | — | 2 | 2 | no | — |
| 30 | #33434 | — | 2 | 2 | no | — |
| 31 | C2×#2150 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C22×#361 | C22 | 1 | 8 | yes | complemented |
| 33 | #33333 | C22 | 1 | 2 | yes | complemented |
| 34 | C2×C4×M32 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #22719 | — | 2 | 4 | no | — |
| 36 | D4×#108 | C22 | 1 | 8 | yes | complemented |
| 37 | #21970 | — | 2 | 1 | no | — |
| 38 | #21950 | — | 2 | 2 | no | — |
| 39 | #20826 | C22 | 1 | 2 | yes | complemented |
| 40 | #20668 | C22 | 1 | 4 | yes | complemented |
| 41 | #13290 | C22 | 1 | 4 | yes | complemented |
| 42 | #13279 | C22 | 1 | 4 | yes | complemented |
| 43 | #13257 | C22 | 1 | 4 | yes | — |
| 44 | #13213 | C22 | 1 | 4 | yes | — |
| 45 | #13067 | C22 | 1 | 4 | yes | complemented |
| 46 | #13067 | C22 | 1 | 16 | yes | complemented |
| 47 | #13067 | C22 | 1 | 8 | yes | complemented |
| 48 | #13067 | C22 | 1 | 4 | yes | complemented |
| 49 | #13004 | C22 | 1 | 16 | yes | complemented |
| 50 | #12872 | C22 | 1 | 8 | yes | complemented |
| 51 | #12818 | C22 | 1 | 8 | yes | complemented |
| 52 | #12736 | C22 | 1 | 8 | yes | complemented |
| 53 | C4×#361 | C22 | 1 | 8 | yes | complemented |
| 54 | #12569 | C22 | 1 | 8 | yes | complemented |
| 55 | C23×D8 | C23 | 1 | 4 | yes | — |
| 56 | C22×#131 | C23 | 1 | 2 | yes | — |
| 57 | #3549 | — | 2 | 4 | no | — |
| 58 | #3549 | — | 2 | 4 | no | — |
| 59 | #3549 | — | 2 | 8 | no | — |
| 60 | #3549 | — | 4 | 2 | no | — |
| 61 | #3549 | — | 4 | 2 | no | — |
| 62 | #3549 | — | 4 | 4 | no | — |
| 63 | C2×H(3,𝔽4) | — | 4 | 2 | no | — |
| 64 | C2×#555 | — | 2 | 4 | no | — |
| 65 | C2×#555 | — | 4 | 1 | no | — |
| 66 | C2×D42 | — | 2 | 4 | no | — |
| 67 | C2×D42 | — | 4 | 1 | no | — |
| 68 | C2×#535 | — | 2 | 4 | no | — |
| 69 | C2×#535 | — | 4 | 4 | no | — |
| 70 | C2×#532 | — | 2 | 2 | no | — |
| 71 | C2×#532 | D4 | 1 | 1 | yes | characteristic |
| 72 | #3407 | — | 4 | 8 | no | — |
| 73 | C2×#504 | — | 2 | 4 | no | — |
| 74 | C2×#504 | — | 2 | 4 | no | — |
| 75 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 76 | C22×M32 | C23 | 1 | 8 | yes | — |
| 77 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×M32 | C23 | 1 | 2 | yes | — |
| 79 | #3341 | — | 2 | 8 | no | — |
| 80 | #3341 | — | 2 | 8 | no | — |
| 81 | #3341 | C2×C4 | 1 | 16 | yes | — |
| 82 | #3341 | C2×C4 | 1 | 16 | yes | — |
| 83 | #3325 | — | 2 | 16 | no | — |
| 84 | #3325 | — | 2 | 16 | no | — |
| 85 | #3325 | — | 2 | 16 | no | — |
| 86 | #3325 | — | 2 | 16 | no | — |
| 87 | D4×D8 | — | 2 | 8 | no | — |
| 88 | D4×D8 | — | 2 | 8 | no | — |
| 89 | D4×D8 | C2×C4 | 1 | 16 | yes | — |
| 90 | D4×D8 | C2×C4 | 1 | 16 | yes | — |
| 91 | #3253 | — | 2 | 4 | no | — |
| 92 | #3253 | — | 2 | 4 | no | — |
| 93 | #3253 | — | 2 | 8 | no | — |
| 94 | #3199 | — | 2 | 8 | no | — |
| 95 | #3199 | — | 2 | 8 | no | — |
| 96 | #3199 | — | 2 | 16 | no | — |
| 97 | #3169 | — | 2 | 2 | no | — |
| 98 | #3169 | — | 2 | 2 | no | — |
| 99 | #3169 | — | 2 | 2 | no | — |
| 100 | #3169 | — | 2 | 2 | no | — |
| 101 | #3169 | C2×C4 | 1 | 4 | yes | — |
| 102 | #3169 | C2×C4 | 1 | 4 | yes | — |
| 103 | #3169 | C2×C4 | 1 | 4 | yes | — |
| 104 | #3169 | C2×C4 | 1 | 4 | yes | — |
| 105 | C2×#500 | C23 | 1 | 2 | yes | — |
| 106 | C2×#493 | C23 | 1 | 2 | yes | — |
| 107 | C2×#486 | — | 2 | 2 | no | — |
| 108 | C2×#482 | — | 2 | 8 | no | — |
| 109 | C2×#476 | — | 2 | 4 | no | — |
| 110 | #3058 | — | 2 | 8 | no | — |
| 111 | #3058 | — | 2 | 8 | no | — |
| 112 | #3058 | C2×C4 | 1 | 16 | yes | — |
| 113 | #3058 | C2×C4 | 1 | 16 | yes | — |
| 114 | C2×#469 | — | 2 | 4 | no | — |
| 115 | C2×#469 | — | 2 | 4 | no | — |
| 116 | C2×#466 | — | 2 | 2 | no | — |
| 117 | C2×#466 | C23 | 1 | 4 | yes | — |
| 118 | C2×#466 | C23 | 1 | 8 | yes | — |
| 119 | C2×#459 | — | 2 | 4 | no | — |
| 120 | C2×#447 | — | 2 | 8 | no | — |
| 121 | #2981 | — | 4 | 4 | no | — |
| 122 | #2980 | — | 4 | 2 | no | — |
| 123 | #2979 | — | 4 | 2 | no | — |
| 124 | C2×C4×D8 | — | 2 | 2 | no | — |
| 125 | C2×C4×D8 | C23 | 1 | 4 | yes | — |
| 126 | D4×M16 | — | 2 | 8 | no | — |
| 127 | #2931 | C2×C4 | 1 | 2 | yes | — |
| 128 | #2931 | C2×C4 | 1 | 2 | yes | — |
| 129 | #2931 | C2×C4 | 1 | 4 | yes | — |
| 130 | #2931 | D4 | 1 | 2 | yes | — |
| 131 | #2931 | D4 | 1 | 2 | yes | — |
| 132 | #2931 | D4 | 1 | 4 | yes | — |
| 133 | C2×#436 | D4 | 1 | 4 | yes | — |
| 134 | C2×C8×D4 | C23 | 1 | 4 | yes | — |
| 135 | #2920 | — | 2 | 2 | no | — |
| 136 | C22×#108 | C23 | 1 | 8 | yes | — |
| 137 | C2×#427 | C23 | 1 | 4 | yes | — |
| 138 | C2×#423 | D4 | 1 | 1 | yes | characteristic |
| 139 | C2×#418 | — | 2 | 4 | no | — |
| 140 | #2879 | — | 2 | 4 | no | — |
| 141 | C2×#408 | D4 | 1 | 2 | yes | — |
| 142 | C22×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 143 | #2169 | — | 2 | 8 | no | — |
| 144 | #2168 | — | 2 | 16 | no | — |
| 145 | D4×C16 | — | 2 | 8 | no | — |
| 146 | #2150 | — | 2 | 1 | no | — |
| 147 | #2150 | — | 2 | 1 | no | — |
| 148 | #2150 | C23 | 1 | 4 | yes | — |
| 149 | C2×C4⋊C16 | — | 2 | 2 | no | — |
| 150 | C2×#361 | — | 4 | 16 | no | — |
| 151 | C2×#361 | C23 | 1 | 8 | yes | — |
| 152 | C2×#361 | C23 | 1 | 16 | yes | — |
| 153 | C2×#361 | C23 | 1 | 8 | yes | — |
| 154 | #2113 | — | 2 | 4 | no | — |
| 155 | #2113 | — | 2 | 4 | no | — |
| 156 | #2112 | C23 | 1 | 8 | yes | — |
| 157 | C4×M32 | — | 2 | 2 | no | — |
| 158 | C4×M32 | C23 | 1 | 4 | yes | — |
| 159 | C2×#346 | — | 2 | 1 | no | — |
| 160 | C2×C4×C16 | — | 2 | 1 | no | — |
| 161 | #1950 | — | 2 | 8 | no | — |
| 162 | #1855 | — | 2 | 16 | no | — |
| 163 | #1848 | C23 | 1 | 4 | yes | — |
| 164 | #1837 | — | 2 | 2 | no | — |
| 165 | #1811 | — | 2 | 4 | no | — |
| 166 | #1811 | — | 2 | 4 | no | — |
| 167 | #1810 | — | 2 | 2 | no | — |
| 168 | #1810 | C23 | 1 | 4 | yes | — |
| 169 | #1810 | C23 | 1 | 8 | yes | — |
| 170 | C4×#108 | — | 2 | 2 | no | — |
| 171 | C4×#108 | C23 | 1 | 4 | yes | — |
| 172 | #1738 | — | 2 | 4 | no | — |
| 173 | #1387 | C23 | 1 | 8 | yes | — |
| 174 | #1387 | C23 | 1 | 16 | yes | — |
| 175 | #1387 | C23 | 1 | 8 | yes | — |
| 176 | C22×#41 | — | 4 | 2 | no | — |
| 177 | C22×#41 | C2×D4 | 1 | 2 | yes | — |
| 178 | C23×D4 | — | 2 | 4 | no | — |
| 179 | C23×D4 | — | 4 | 4 | no | — |
| 180 | C22×D8 | — | 2 | 2 | no | — |
| 181 | C22×D8 | — | 2 | 4 | no | — |
| 182 | C22×D8 | — | 2 | 8 | no | — |
| 183 | C22×D8 | — | 4 | 8 | no | — |
| 184 | C22×D8 | — | 4 | 8 | no | — |
| 185 | C22×D8 | C22×C4 | 1 | 16 | yes | — |
| 186 | C22×D8 | C24 | 1 | 4 | yes | — |
| 187 | C2×#131 | — | 4 | 4 | no | — |
| 188 | C2×#131 | — | 4 | 4 | no | — |
| 189 | C2×#131 | C22×C4 | 1 | 4 | yes | — |
| 190 | C2×#131 | C22×C4 | 1 | 4 | yes | — |
| 191 | C2×#131 | C2×D4 | 1 | 4 | yes | — |
| 192 | C2×#131 | C2×D4 | 1 | 4 | yes | — |
| 193 | C22×M16 | — | 2 | 8 | no | — |
| 194 | C22×M16 | C2×D4 | 1 | 2 | yes | — |
| 195 | C22×M16 | C2×D4 | 1 | 4 | yes | — |
| 196 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 198 | C23×C8 | C24 | 1 | 4 | yes | — |
| 199 | H(3,𝔽4) | — | 4 | 8 | no | — |
| 200 | H(3,𝔽4) | — | 4 | 8 | no | — |
| 201 | H(3,𝔽4) | — | 4 | 16 | no | — |
| 202 | #555 | — | 2 | 16 | no | — |
| 203 | #555 | — | 2 | 16 | no | — |
| 204 | #555 | — | 4 | 4 | no | — |
| 205 | #555 | — | 4 | 4 | no | — |
| 206 | #555 | — | 4 | 8 | no | — |
| 207 | #555 | — | 4 | 8 | no | — |
| 208 | #555 | — | 4 | 8 | no | — |
| 209 | D42 | — | 2 | 16 | no | — |
| 210 | D42 | — | 2 | 16 | no | — |
| 211 | D42 | — | 4 | 4 | no | — |
| 212 | D42 | — | 4 | 8 | no | — |
| 213 | D42 | — | 4 | 4 | no | — |
| 214 | D42 | — | 4 | 8 | no | — |
| 215 | D42 | — | 4 | 8 | no | — |
| 216 | #535 | — | 2 | 16 | no | — |
| 217 | #535 | — | 2 | 16 | no | — |
| 218 | #535 | — | 4 | 8 | no | — |
| 219 | #535 | — | 4 | 8 | no | — |
| 220 | #535 | — | 4 | 16 | no | — |
| 221 | #535 | — | 4 | 16 | no | — |
| 222 | #535 | — | 4 | 16 | no | — |
| 223 | #535 | — | 4 | 16 | no | — |
| 224 | #532 | — | 2 | 4 | no | — |
| 225 | #532 | — | 2 | 4 | no | — |
| 226 | #532 | — | 2 | 4 | no | — |
| 227 | #532 | — | 2 | 4 | no | — |
| 228 | #532 | — | 4 | 2 | no | — |
| 229 | #532 | — | 4 | 2 | no | — |
| 230 | #532 | — | 4 | 2 | no | — |
| 231 | #532 | — | 4 | 2 | no | — |
| 232 | #532 | C22⋊C4 | 1 | 2 | yes | — |
| 233 | #532 | C22⋊C4 | 1 | 2 | yes | — |
| 234 | #532 | C22⋊C4 | 1 | 4 | yes | — |
| 235 | #532 | D8 | 1 | 2 | yes | — |
| 236 | #532 | D8 | 1 | 2 | yes | — |
| 237 | #532 | D8 | 1 | 4 | yes | — |
| 238 | C2×C4⋊Q8 | — | 2 | 2 | no | — |
| 239 | C2×C4⋊Q8 | SD16 | 1 | 1 | yes | characteristic |
| 240 | C2×#127 | — | 2 | 2 | no | — |
| 241 | C2×#127 | — | 4 | 4 | no | — |
| 242 | C2×#127 | SD16 | 1 | 1 | yes | characteristic |
| 243 | C2×#124 | — | 4 | 4 | no | — |
| 244 | C2×#124 | — | 4 | 8 | no | — |
| 245 | C2×#124 | — | 4 | 2 | no | — |
| 246 | C2×#124 | SD16 | 1 | 2 | yes | — |
| 247 | C2×#121 | — | 2 | 8 | no | — |
| 248 | C2×#121 | — | 2 | 4 | no | — |
| 249 | C2×#121 | — | 4 | 4 | no | — |
| 250 | C2×#121 | — | 4 | 2 | no | — |
| 251 | C2×#121 | — | 4 | 4 | no | — |
| 252 | C2×#121 | SD16 | 1 | 4 | yes | — |
| 253 | C2×#120 | — | 4 | 4 | no | — |
| 254 | C2×#120 | — | 4 | 4 | no | — |
| 255 | C2×#120 | — | 4 | 8 | no | — |
| 256 | C2×C4×D4 | — | 2 | 4 | no | — |
| 257 | C2×C4×D4 | — | 4 | 2 | no | — |
| 258 | C2×C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 259 | C2×#117 | — | 2 | 4 | no | — |
| 260 | C2×#117 | — | 4 | 4 | no | — |
| 261 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | #504 | — | 4 | 16 | no | — |
| 263 | #504 | — | 4 | 16 | no | — |
| 264 | C2×M32 | — | 2 | 1 | no | — |
| 265 | C2×M32 | — | 2 | 4 | no | — |
| 266 | C2×M32 | — | 2 | 1 | no | — |
| 267 | C2×M32 | — | 2 | 2 | no | — |
| 268 | C2×M32 | — | 2 | 8 | no | — |
| 269 | C2×M32 | — | 2 | 16 | no | — |
| 270 | C2×M32 | — | 4 | 2 | no | — |
| 271 | C2×M32 | — | 4 | 8 | no | — |
| 272 | C2×M32 | — | 4 | 4 | no | — |
| 273 | C2×M32 | C24 | 1 | 2 | yes | — |
| 274 | C2×M32 | C24 | 1 | 4 | yes | — |
| 275 | C2×M32 | C24 | 1 | 2 | yes | — |
| 276 | C22×C16 | — | 2 | 1 | no | — |
| 277 | C22×C16 | — | 2 | 1 | no | — |
| 278 | C22×C16 | — | 2 | 2 | no | — |
| 279 | C22×C16 | — | 2 | 8 | no | — |
| 280 | #500 | — | 2 | 2 | no | — |
| 281 | #500 | — | 2 | 2 | no | — |
| 282 | #500 | C22×C4 | 1 | 4 | yes | — |
| 283 | #500 | C22×C4 | 1 | 4 | yes | — |
| 284 | #493 | — | 2 | 2 | no | — |
| 285 | #493 | — | 2 | 2 | no | — |
| 286 | #493 | C22×C4 | 1 | 4 | yes | — |
| 287 | #493 | C22×C4 | 1 | 4 | yes | — |
| 288 | #486 | — | 2 | 4 | no | — |
| 289 | #486 | — | 2 | 4 | no | — |
| 290 | #486 | — | 2 | 4 | no | — |
| 291 | #486 | — | 2 | 4 | no | — |
| 292 | #482 | — | 2 | 32 | no | — |
| 293 | #482 | — | 2 | 32 | no | — |
| 294 | #476 | — | 2 | 16 | no | — |
| 295 | #476 | — | 2 | 16 | no | — |
| 296 | #469 | — | 2 | 16 | no | — |
| 297 | #469 | — | 2 | 16 | no | — |
| 298 | #469 | — | 2 | 16 | no | — |
| 299 | #469 | — | 2 | 16 | no | — |
| 300 | #466 | — | 2 | 4 | no | — |
| 301 | #466 | — | 2 | 4 | no | — |
| 302 | #466 | — | 2 | 4 | no | — |
| 303 | #466 | — | 2 | 4 | no | — |
| 304 | #466 | — | 2 | 16 | no | — |
| 305 | #466 | — | 2 | 4 | no | — |
| 306 | #466 | — | 2 | 4 | no | — |
| 307 | #466 | C22×C4 | 1 | 32 | yes | — |
| 308 | #466 | C22×C4 | 1 | 8 | yes | — |
| 309 | #466 | C22×C4 | 1 | 8 | yes | — |
| 310 | #459 | — | 2 | 16 | no | — |
| 311 | #459 | — | 2 | 16 | no | — |
| 312 | #447 | — | 2 | 32 | no | — |
| 313 | #447 | — | 2 | 32 | no | — |
| 314 | C4×D8 | — | 2 | 4 | no | — |
| 315 | C4×D8 | — | 2 | 4 | no | — |
| 316 | C4×D8 | — | 2 | 4 | no | — |
| 317 | C4×D8 | — | 2 | 4 | no | — |
| 318 | C4×D8 | — | 2 | 4 | no | — |
| 319 | C4×D8 | — | 2 | 4 | no | — |
| 320 | C4×D8 | C22×C4 | 1 | 8 | yes | — |
| 321 | C4×D8 | C22×C4 | 1 | 8 | yes | — |
| 322 | #436 | — | 4 | 8 | no | — |
| 323 | #436 | C22⋊C4 | 1 | 8 | yes | — |
| 324 | #436 | C22⋊C4 | 1 | 8 | yes | — |
| 325 | #436 | C22⋊C4 | 1 | 8 | yes | — |
| 326 | #436 | C22⋊C4 | 1 | 8 | yes | — |
| 327 | #435 | — | 4 | 16 | no | — |
| 328 | C8×D4 | — | 4 | 8 | no | — |
| 329 | C8×D4 | C22×C4 | 1 | 8 | yes | — |
| 330 | C8×D4 | C22×C4 | 1 | 8 | yes | — |
| 331 | C8×D4 | C2×D4 | 1 | 8 | yes | — |
| 332 | C8×D4 | C2×D4 | 1 | 8 | yes | — |
| 333 | #432 | — | 4 | 2 | no | — |
| 334 | #432 | — | 4 | 2 | no | — |
| 335 | #431 | — | 4 | 2 | no | — |
| 336 | #431 | — | 4 | 2 | no | — |
| 337 | C2×#108 | — | 2 | 4 | no | — |
| 338 | C2×#108 | — | 2 | 8 | no | — |
| 339 | C2×#108 | — | 4 | 8 | no | — |
| 340 | C2×#108 | — | 4 | 8 | no | — |
| 341 | C2×#108 | C24 | 1 | 8 | yes | — |
| 342 | #427 | — | 2 | 8 | no | — |
| 343 | #427 | C22×C4 | 1 | 16 | yes | — |
| 344 | C2×#107 | — | 2 | 2 | no | — |
| 345 | C2×#107 | C24 | 1 | 4 | yes | — |
| 346 | C2×#106 | — | 2 | 4 | no | — |
| 347 | #423 | — | 2 | 4 | no | — |
| 348 | #423 | C22⋊C4 | 1 | 2 | yes | — |
| 349 | #423 | C22⋊C4 | 1 | 2 | yes | — |
| 350 | #423 | C22⋊C4 | 1 | 4 | yes | — |
| 351 | C2×C4⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 352 | #418 | — | 2 | 16 | no | — |
| 353 | #418 | — | 2 | 16 | no | — |
| 354 | C2×#102 | — | 2 | 4 | no | — |
| 355 | C2×#102 | — | 2 | 8 | no | — |
| 356 | C2×#102 | — | 2 | 4 | no | — |
| 357 | #408 | — | 4 | 8 | no | — |
| 358 | #408 | — | 4 | 8 | no | — |
| 359 | #408 | C22⋊C4 | 1 | 4 | yes | — |
| 360 | #408 | C22⋊C4 | 1 | 4 | yes | — |
| 361 | #408 | C22⋊C4 | 1 | 8 | yes | — |
| 362 | #407 | — | 2 | 4 | no | — |
| 363 | #407 | — | 2 | 8 | no | — |
| 364 | C2×C22⋊C8 | C2×D4 | 1 | 8 | yes | — |
| 365 | C4×M16 | — | 2 | 4 | no | — |
| 366 | C2×C4×C8 | C22×C4 | 1 | 2 | yes | — |
| 367 | C2×C4×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 368 | C2×C4×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 369 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 370 | C2×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 371 | C2×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 372 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 373 | C2×C4×C8 | C24 | 1 | 2 | yes | — |
| 374 | C4⋊C16 | — | 2 | 4 | no | — |
| 375 | C4⋊C16 | — | 2 | 4 | no | — |
| 376 | #361 | — | 2 | 16 | no | — |
| 377 | #361 | — | 4 | 16 | no | — |
| 378 | #361 | — | 4 | 8 | no | — |
| 379 | C22⋊C16 | — | 2 | 16 | no | — |
| 380 | #346 | — | 2 | 4 | no | — |
| 381 | C4×C16 | — | 2 | 4 | no | — |
| 382 | #341 | — | 2 | 4 | no | — |
| 383 | #341 | — | 2 | 4 | no | — |
| 384 | #341 | — | 2 | 8 | no | — |
| 385 | C25 | — | 4 | 4 | no | — |
| 386 | C2×#41 | — | 4 | 4 | no | — |
| 387 | C2×#41 | — | 4 | 4 | no | — |
| 388 | C2×#41 | — | 4 | 4 | no | — |
| 389 | C2×#41 | — | 4 | 4 | no | — |
| 390 | C2×#41 | — | 4 | 4 | no | — |
| 391 | C2×#41 | — | 4 | 4 | no | — |
| 392 | C2×#41 | — | 16 | 8 | no | — |
| 393 | C2×#41 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 394 | C2×#41 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 395 | C2×#41 | C2×D8 | 1 | 4 | yes | — |
| 396 | C2×#41 | C2×D8 | 1 | 4 | yes | — |
| 397 | C22×Q8 | — | 4 | 2 | no | — |
| 398 | C22×Q8 | C2×SD16 | 1 | 2 | yes | — |
| 399 | C22×D4 | — | 2 | 16 | no | — |
| 400 | C22×D4 | — | 2 | 4 | no | — |
| 401 | C22×D4 | — | 4 | 8 | no | — |
| 402 | C22×D4 | — | 4 | 4 | no | — |
| 403 | C22×D4 | — | 4 | 16 | no | — |
| 404 | C22×D4 | — | 4 | 16 | no | — |
| 405 | C22×D4 | — | 4 | 8 | no | — |
| 406 | C22×D4 | — | 4 | 2 | no | — |
| 407 | C22×D4 | — | 4 | 2 | no | — |
| 408 | C22×D4 | — | 4 | 4 | no | — |
| 409 | C22×D4 | — | 8 | 8 | no | — |
| 410 | C22×D4 | — | 8 | 8 | no | — |
| 411 | C22×D4 | — | 16 | 16 | no | — |
| 412 | C22×D4 | C2×SD16 | 1 | 4 | yes | — |
| 413 | C22×D4 | C2×SD16 | 1 | 2 | yes | — |
| 414 | C22×D4 | C2×SD16 | 1 | 4 | yes | — |
| 415 | C23×C4 | — | 4 | 4 | no | — |
| 416 | C23×C4 | C2×SD16 | 1 | 2 | yes | — |
| 417 | C23×C4 | C22×D4 | 1 | 4 | yes | — |
| 418 | C23×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 419 | C2×D8 | — | 2 | 16 | no | — |
| 420 | C2×D8 | — | 2 | 4 | no | — |
| 421 | C2×D8 | — | 2 | 4 | no | — |
| 422 | C2×D8 | — | 2 | 4 | no | — |
| 423 | C2×D8 | — | 2 | 8 | no | — |
| 424 | C2×D8 | — | 2 | 8 | no | — |
| 425 | C2×D8 | — | 4 | 32 | no | — |
| 426 | C2×D8 | — | 8 | 8 | no | — |
| 427 | C2×D8 | — | 8 | 8 | no | — |
| 428 | C2×D8 | — | 8 | 4 | no | — |
| 429 | C2×D8 | — | 8 | 8 | no | — |
| 430 | C2×D8 | C23×C4 | 1 | 8 | yes | — |
| 431 | #131 | — | 4 | 8 | no | — |
| 432 | #131 | — | 4 | 8 | no | — |
| 433 | #131 | — | 4 | 4 | no | — |
| 434 | #131 | — | 4 | 4 | no | — |
| 435 | #131 | — | 4 | 4 | no | — |
| 436 | #131 | — | 4 | 4 | no | — |
| 437 | C2×M16 | — | 2 | 8 | no | — |
| 438 | C2×M16 | — | 4 | 4 | no | — |
| 439 | C2×M16 | — | 4 | 8 | no | — |
| 440 | C2×M16 | — | 4 | 8 | no | — |
| 441 | C2×M16 | — | 8 | 8 | no | — |
| 442 | C2×M16 | — | 8 | 8 | no | — |
| 443 | C2×M16 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 444 | C2×M16 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 445 | C2×M16 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 446 | C2×M16 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 447 | C22×C8 | — | 2 | 2 | no | — |
| 448 | C22×C8 | — | 2 | 8 | no | — |
| 449 | C22×C8 | — | 2 | 2 | no | — |
| 450 | C22×C8 | — | 2 | 8 | no | — |
| 451 | C22×C8 | — | 4 | 2 | no | — |
| 452 | C22×C8 | — | 4 | 8 | no | — |
| 453 | C22×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 454 | C22×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 455 | C22×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 456 | C22×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 457 | C22×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 458 | C22×C8 | C23×C4 | 1 | 8 | yes | — |
| 459 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 460 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 461 | C22×C8 | C22×D4 | 1 | 4 | yes | — |
| 462 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 463 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 464 | C22×C8 | C22×D4 | 1 | 8 | yes | — |
| 465 | C22×C8 | C25 | 1 | 1 | yes | characteristic |
| 466 | C4⋊Q8 | — | 2 | 4 | no | — |
| 467 | C4⋊Q8 | — | 2 | 4 | no | — |
| 468 | C4⋊Q8 | — | 4 | 2 | no | — |
| 469 | C4⋊Q8 | — | 4 | 2 | no | — |
| 470 | C4⋊Q8 | #102 | 1 | 2 | yes | — |
| 471 | C4⋊Q8 | #102 | 1 | 2 | yes | — |
| 472 | C4⋊Q8 | #102 | 1 | 4 | yes | — |
| 473 | #127 | — | 2 | 4 | no | — |
| 474 | #127 | — | 2 | 4 | no | — |
| 475 | #127 | — | 4 | 16 | no | — |
| 476 | #127 | — | 4 | 16 | no | — |
| 477 | #127 | — | 4 | 2 | no | — |
| 478 | #127 | — | 4 | 2 | no | — |
| 479 | #127 | #102 | 1 | 2 | yes | — |
| 480 | #127 | #102 | 1 | 4 | yes | — |
| 481 | #127 | #102 | 1 | 2 | yes | — |
| 482 | #124 | — | 4 | 16 | no | — |
| 483 | #124 | — | 4 | 16 | no | — |
| 484 | #124 | — | 4 | 32 | no | — |
| 485 | #124 | — | 4 | 32 | no | — |
| 486 | #124 | — | 4 | 4 | no | — |
| 487 | #124 | — | 4 | 4 | no | — |
| 488 | #124 | — | 4 | 4 | no | — |
| 489 | #124 | — | 4 | 4 | no | — |
| 490 | #124 | #102 | 1 | 4 | yes | — |
| 491 | #124 | #102 | 1 | 4 | yes | — |
| 492 | #124 | #102 | 1 | 8 | yes | — |
| 493 | #121 | — | 2 | 8 | no | — |
| 494 | #121 | — | 2 | 8 | no | — |
| 495 | #121 | — | 2 | 32 | no | — |
| 496 | #121 | — | 4 | 16 | no | — |
| 497 | #121 | — | 4 | 16 | no | — |
| 498 | #121 | — | 4 | 4 | no | — |
| 499 | #121 | — | 4 | 4 | no | — |
| 500 | #121 | — | 4 | 16 | no | — |
| 501 | #121 | — | 4 | 4 | no | — |
| 502 | #121 | — | 4 | 4 | no | — |
| 503 | #121 | — | 4 | 4 | no | — |
| 504 | #121 | — | 4 | 4 | no | — |
| 505 | #121 | — | 4 | 16 | no | — |
| 506 | #121 | — | 4 | 16 | no | — |
| 507 | #121 | #102 | 1 | 8 | yes | — |
| 508 | #121 | #102 | 1 | 8 | yes | — |
| 509 | #121 | #102 | 1 | 8 | yes | — |
| 510 | #121 | #102 | 1 | 8 | yes | — |
| 511 | #120 | — | 4 | 16 | no | — |
| 512 | #120 | — | 4 | 16 | no | — |
| 513 | #120 | — | 4 | 16 | no | — |
| 514 | #120 | — | 4 | 16 | no | — |
| 515 | #120 | — | 4 | 32 | no | — |
| 516 | #120 | — | 4 | 32 | no | — |
| 517 | C4×D4 | — | 2 | 8 | no | — |
| 518 | C4×D4 | — | 2 | 8 | no | — |
| 519 | C4×D4 | — | 4 | 4 | no | — |
| 520 | C4×D4 | — | 4 | 4 | no | — |
| 521 | C4×D4 | — | 4 | 4 | no | — |
| 522 | C4×D4 | — | 4 | 4 | no | — |
| 523 | C4×D4 | — | 4 | 4 | no | — |
| 524 | C4×D4 | — | 4 | 4 | no | — |
| 525 | C4×D4 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 526 | C4×D4 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 527 | C4×D4 | C2×D8 | 1 | 8 | yes | — |
| 528 | C4×D4 | C2×D8 | 1 | 8 | yes | — |
| 529 | #117 | — | 2 | 16 | no | — |
| 530 | #117 | — | 4 | 8 | no | — |
| 531 | #117 | — | 4 | 16 | no | — |
| 532 | #117 | — | 4 | 16 | no | — |
| 533 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 534 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 535 | C2×C4⋊C4 | C2×SD16 | 1 | 4 | yes | — |
| 536 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 537 | C2×C22⋊C4 | — | 4 | 8 | no | — |
| 538 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 539 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 540 | C2×C22⋊C4 | C2×SD16 | 1 | 8 | yes | — |
| 541 | C2×C42 | — | 4 | 4 | no | — |
| 542 | C2×C42 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 543 | C2×C42 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 544 | C2×C42 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 545 | C2×C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 546 | C2×C42 | C2×D8 | 1 | 2 | yes | — |
| 547 | C2×C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 548 | C2×C42 | C2×SD16 | 1 | 1 | yes | characteristic |
| 549 | C2×C42 | C2×SD16 | 1 | 1 | yes | characteristic |
| 550 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 551 | M32 | — | 2 | 4 | no | — |
| 552 | M32 | — | 2 | 2 | no | — |
| 553 | M32 | — | 2 | 8 | no | — |
| 554 | M32 | — | 2 | 4 | no | — |
| 555 | M32 | — | 4 | 16 | no | — |
| 556 | M32 | — | 4 | 2 | no | — |
| 557 | M32 | — | 4 | 4 | no | — |
| 558 | M32 | H(5,𝔽2) | 1 | 4 | yes | — |
| 559 | C2×C16 | — | 2 | 4 | no | — |
| 560 | C2×C16 | — | 2 | 2 | no | — |
| 561 | C2×C16 | — | 2 | 2 | no | — |
| 562 | C2×C16 | — | 2 | 4 | no | — |
| 563 | C2×C16 | — | 4 | 16 | no | — |
| 564 | C2×C16 | — | 4 | 2 | no | — |
| 565 | C2×C16 | — | 4 | 4 | no | — |
| 566 | #108 | — | 2 | 8 | no | — |
| 567 | #108 | — | 2 | 8 | no | — |
| 568 | #108 | — | 8 | 4 | no | — |
| 569 | #108 | — | 8 | 8 | no | — |
| 570 | #107 | — | 2 | 4 | no | — |
| 571 | #107 | — | 2 | 4 | no | — |
| 572 | #107 | — | 2 | 4 | no | — |
| 573 | #107 | C23×C4 | 1 | 8 | yes | — |
| 574 | #106 | — | 2 | 16 | no | — |
| 575 | C4⋊C8 | — | 4 | 4 | no | — |
| 576 | C4⋊C8 | — | 4 | 4 | no | — |
| 577 | C4⋊C8 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 578 | C4⋊C8 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 579 | #102 | — | 2 | 8 | no | — |
| 580 | #102 | — | 2 | 8 | no | — |
| 581 | #102 | — | 2 | 32 | no | — |
| 582 | #102 | — | 2 | 8 | no | — |
| 583 | #102 | — | 2 | 8 | no | — |
| 584 | C22⋊C8 | — | 4 | 4 | no | — |
| 585 | C22⋊C8 | — | 4 | 4 | no | — |
| 586 | C22⋊C8 | — | 4 | 16 | no | — |
| 587 | C22⋊C8 | C2×C22⋊C4 | 1 | 16 | yes | — |
| 588 | C22⋊C8 | C2×C22⋊C4 | 1 | 16 | yes | — |
| 589 | #97 | — | 4 | 4 | no | — |
| 590 | C4×C8 | — | 4 | 4 | no | — |
| 591 | C4×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 592 | C4×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 593 | C4×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 594 | C4×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 595 | C4×C8 | C23×C4 | 1 | 2 | yes | — |
| 596 | C4×C8 | C23×C4 | 1 | 2 | yes | — |
| 597 | C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 598 | C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 599 | C24 | — | 4 | 4 | no | — |
| 600 | C24 | — | 4 | 16 | no | — |
| 601 | C24 | — | 16 | 8 | no | — |
| 602 | C24 | — | 16 | 16 | no | — |
| 603 | C24 | C22×SD16 | 1 | 4 | yes | — |
| 604 | C24 | C22×SD16 | 1 | 1 | yes | characteristic |
| 605 | #41 | — | 4 | 4 | no | — |
| 606 | #41 | — | 4 | 4 | no | — |
| 607 | #41 | — | 4 | 4 | no | — |
| 608 | #41 | — | 4 | 4 | no | — |
| 609 | #41 | — | 4 | 4 | no | — |
| 610 | #41 | — | 4 | 8 | no | — |
| 611 | #41 | — | 4 | 4 | no | — |
| 612 | #41 | — | 16 | 8 | no | — |
| 613 | #41 | — | 16 | 8 | no | — |
| 614 | #41 | — | 16 | 8 | no | — |
| 615 | #41 | — | 16 | 8 | no | — |
| 616 | C2×Q8 | — | 4 | 4 | no | — |
| 617 | C2×Q8 | — | 4 | 4 | no | — |
| 618 | C2×Q8 | — | 4 | 4 | no | — |
| 619 | C2×Q8 | — | 16 | 4 | no | — |
| 620 | C2×Q8 | C2×#102 | 1 | 4 | yes | — |
| 621 | C2×Q8 | C2×#102 | 1 | 4 | yes | — |
| 622 | C2×D4 | — | 2 | 8 | no | — |
| 623 | C2×D4 | — | 4 | 8 | no | — |
| 624 | C2×D4 | — | 4 | 4 | no | — |
| 625 | C2×D4 | — | 4 | 8 | no | — |
| 626 | C2×D4 | — | 4 | 32 | no | — |
| 627 | C2×D4 | — | 4 | 8 | no | — |
| 628 | C2×D4 | — | 4 | 8 | no | — |
| 629 | C2×D4 | — | 4 | 8 | no | — |
| 630 | C2×D4 | — | 4 | 4 | no | — |
| 631 | C2×D4 | — | 4 | 4 | no | — |
| 632 | C2×D4 | — | 4 | 4 | no | — |
| 633 | C2×D4 | — | 4 | 4 | no | — |
| 634 | C2×D4 | — | 4 | 16 | no | — |
| 635 | C2×D4 | — | 4 | 8 | no | — |
| 636 | C2×D4 | — | 4 | 4 | no | — |
| 637 | C2×D4 | — | 8 | 16 | no | — |
| 638 | C2×D4 | — | 8 | 16 | no | — |
| 639 | C2×D4 | — | 8 | 8 | no | — |
| 640 | C2×D4 | — | 16 | 8 | no | — |
| 641 | C2×D4 | — | 16 | 8 | no | — |
| 642 | C2×D4 | — | 16 | 8 | no | — |
| 643 | C2×D4 | — | 16 | 4 | no | — |
| 644 | C2×D4 | — | 16 | 32 | no | — |
| 645 | C2×D4 | — | 16 | 32 | no | — |
| 646 | C2×D4 | — | 16 | 16 | no | — |
| 647 | C2×D4 | — | 16 | 8 | no | — |
| 648 | C2×D4 | C2×#102 | 1 | 8 | yes | — |
| 649 | C2×D4 | C2×#102 | 1 | 8 | yes | — |
| 650 | C2×D4 | C2×#102 | 1 | 4 | yes | — |
| 651 | C2×D4 | C2×#102 | 1 | 4 | yes | — |
| 652 | C2×D4 | C2×#102 | 1 | 8 | yes | — |
| 653 | C2×D4 | C2×#102 | 1 | 8 | yes | — |
| 654 | C22×C4 | — | 2 | 2 | no | — |
| 655 | C22×C4 | — | 2 | 8 | no | — |
| 656 | C22×C4 | — | 2 | 2 | no | — |
| 657 | C22×C4 | — | 2 | 8 | no | — |
| 658 | C22×C4 | — | 4 | 4 | no | — |
| 659 | C22×C4 | — | 4 | 4 | no | — |
| 660 | C22×C4 | — | 4 | 8 | no | — |
| 661 | C22×C4 | — | 4 | 8 | no | — |
| 662 | C22×C4 | — | 8 | 16 | no | — |
| 663 | C22×C4 | C2×#102 | 1 | 2 | yes | — |
| 664 | C22×C4 | C2×#102 | 1 | 2 | yes | — |
| 665 | C22×C4 | C2×#102 | 1 | 2 | yes | — |
| 666 | C22×C4 | C2×#102 | 1 | 2 | yes | — |
| 667 | C22×C4 | C22×C22⋊C4 | 1 | 8 | yes | — |
| 668 | C22×C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 669 | C22×C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 670 | C22×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 671 | C22×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 672 | C22×C4 | C22×D8 | 1 | 8 | yes | — |
| 673 | C22×C4 | C22×SD16 | 1 | 4 | yes | — |
| 674 | C22×C4 | C22×SD16 | 1 | 1 | yes | characteristic |
| 675 | C22×C4 | C22×SD16 | 1 | 2 | yes | — |
| 676 | C22×C4 | C22×SD16 | 1 | 2 | yes | — |
| 677 | C22×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 678 | D8 | — | 2 | 16 | no | — |
| 679 | D8 | — | 4 | 4 | no | — |
| 680 | D8 | — | 4 | 4 | no | — |
| 681 | D8 | — | 8 | 16 | no | — |
| 682 | D8 | — | 8 | 4 | no | — |
| 683 | D8 | — | 8 | 4 | no | — |
| 684 | M16 | — | 4 | 8 | no | — |
| 685 | M16 | — | 4 | 8 | no | — |
| 686 | M16 | — | 4 | 4 | no | — |
| 687 | M16 | — | 4 | 4 | no | — |
| 688 | M16 | — | 4 | 8 | no | — |
| 689 | M16 | — | 4 | 8 | no | — |
| 690 | M16 | — | 16 | 8 | no | — |
| 691 | C2×C8 | — | 2 | 4 | no | — |
| 692 | C2×C8 | — | 2 | 8 | no | — |
| 693 | C2×C8 | — | 2 | 2 | no | — |
| 694 | C2×C8 | — | 2 | 2 | no | — |
| 695 | C2×C8 | — | 2 | 2 | no | — |
| 696 | C2×C8 | — | 2 | 16 | no | — |
| 697 | C2×C8 | — | 2 | 1 | no | — |
| 698 | C2×C8 | — | 2 | 1 | no | — |
| 699 | C2×C8 | — | 2 | 8 | no | — |
| 700 | C2×C8 | — | 2 | 1 | no | — |
| 701 | C2×C8 | — | 2 | 1 | no | — |
| 702 | C2×C8 | — | 2 | 8 | no | — |
| 703 | C2×C8 | — | 4 | 1 | no | — |
| 704 | C2×C8 | — | 4 | 1 | no | — |
| 705 | C2×C8 | — | 4 | 2 | no | — |
| 706 | C2×C8 | — | 4 | 8 | no | — |
| 707 | C2×C8 | — | 16 | 8 | no | — |
| 708 | C2×C8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 709 | C2×C8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 710 | C2×C8 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 711 | C2×C8 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 712 | C2×C8 | C22×C22⋊C4 | 1 | 8 | yes | — |
| 713 | C2×C8 | C24×C4 | 1 | 1 | yes | characteristic |
| 714 | C2×C8 | C23×D4 | 1 | 1 | yes | characteristic |
| 715 | C2×C8 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 716 | C2×C8 | #585 | 1 | 2 | yes | — |
| 717 | C4⋊C4 | — | 2 | 8 | no | — |
| 718 | C4⋊C4 | — | 4 | 4 | no | — |
| 719 | C4⋊C4 | — | 4 | 4 | no | — |
| 720 | C4⋊C4 | — | 4 | 4 | no | — |
| 721 | C4⋊C4 | C2×#102 | 1 | 8 | yes | — |
| 722 | C4⋊C4 | C2×#102 | 1 | 8 | yes | — |
| 723 | C22⋊C4 | — | 4 | 16 | no | — |
| 724 | C22⋊C4 | — | 4 | 32 | no | — |
| 725 | C22⋊C4 | — | 4 | 8 | no | — |
| 726 | C22⋊C4 | — | 4 | 8 | no | — |
| 727 | C22⋊C4 | — | 4 | 8 | no | — |
| 728 | C22⋊C4 | — | 4 | 8 | no | — |
| 729 | C22⋊C4 | C2×#102 | 1 | 16 | yes | — |
| 730 | C22⋊C4 | C2×#102 | 1 | 16 | yes | — |
| 731 | C42 | — | 4 | 16 | no | — |
| 732 | C42 | C2×#102 | 1 | 1 | yes | characteristic |
| 733 | C42 | C2×#102 | 1 | 2 | yes | — |
| 734 | C42 | C2×#102 | 1 | 1 | yes | characteristic |
| 735 | C42 | C2×#102 | 1 | 1 | yes | characteristic |
| 736 | C42 | C2×#102 | 1 | 2 | yes | — |
| 737 | C42 | C2×#102 | 1 | 1 | yes | characteristic |
| 738 | C42 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 739 | C42 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 740 | C42 | C22×D8 | 1 | 2 | yes | — |
| 741 | C42 | C22×D8 | 1 | 2 | yes | — |
| 742 | C16 | — | 2 | 4 | no | — |
| 743 | C16 | — | 4 | 4 | no | — |
| 744 | C16 | — | 4 | 2 | no | — |
| 745 | C23 | — | 2 | 2 | no | — |
| 746 | C23 | — | 2 | 8 | no | — |
| 747 | C23 | — | 4 | 2 | no | — |
| 748 | C23 | — | 4 | 8 | no | — |
| 749 | C23 | — | 4 | 8 | no | — |
| 750 | C23 | — | 8 | 8 | no | — |
| 751 | C23 | — | 8 | 8 | no | — |
| 752 | C23 | — | 8 | 8 | no | — |
| 753 | C23 | — | 16 | 16 | no | — |
| 754 | C23 | — | 16 | 32 | no | — |
| 755 | C23 | — | 32 | 32 | no | — |
| 756 | C23 | C22×#102 | 1 | 8 | yes | — |
| 757 | C23 | C22×#102 | 1 | 1 | yes | characteristic |
| 758 | C23 | C22×#102 | 1 | 1 | yes | characteristic |
| 759 | C23 | C23×SD16 | 1 | 1 | yes | characteristic |
| 760 | Q8 | — | 4 | 4 | no | — |
| 761 | Q8 | — | 4 | 4 | no | — |
| 762 | Q8 | — | 16 | 4 | no | — |
| 763 | Q8 | — | 16 | 4 | no | — |
| 764 | D4 | — | 2 | 16 | no | — |
| 765 | D4 | — | 4 | 8 | no | — |
| 766 | D4 | — | 4 | 4 | no | — |
| 767 | D4 | — | 4 | 4 | no | — |
| 768 | D4 | — | 4 | 8 | no | — |
| 769 | D4 | — | 4 | 8 | no | — |
| 770 | D4 | — | 4 | 8 | no | — |
| 771 | D4 | — | 4 | 8 | no | — |
| 772 | D4 | — | 8 | 8 | no | — |
| 773 | D4 | — | 8 | 8 | no | — |
| 774 | D4 | — | 8 | 8 | no | — |
| 775 | D4 | — | 16 | 16 | no | — |
| 776 | D4 | — | 16 | 4 | no | — |
| 777 | D4 | — | 16 | 4 | no | — |
| 778 | D4 | — | 16 | 32 | no | — |
| 779 | D4 | — | 16 | 8 | no | — |
| 780 | D4 | — | 16 | 8 | no | — |
| 781 | C2×C4 | — | 2 | 2 | no | — |
| 782 | C2×C4 | — | 2 | 8 | no | — |
| 783 | C2×C4 | — | 2 | 8 | no | — |
| 784 | C2×C4 | — | 2 | 8 | no | — |
| 785 | C2×C4 | — | 2 | 2 | no | — |
| 786 | C2×C4 | — | 2 | 2 | no | — |
| 787 | C2×C4 | — | 2 | 4 | no | — |
| 788 | C2×C4 | — | 2 | 4 | no | — |
| 789 | C2×C4 | — | 2 | 4 | no | — |
| 790 | C2×C4 | — | 2 | 1 | no | — |
| 791 | C2×C4 | — | 2 | 1 | no | — |
| 792 | C2×C4 | — | 2 | 8 | no | — |
| 793 | C2×C4 | — | 2 | 1 | no | — |
| 794 | C2×C4 | — | 2 | 1 | no | — |
| 795 | C2×C4 | — | 2 | 8 | no | — |
| 796 | C2×C4 | — | 4 | 2 | no | — |
| 797 | C2×C4 | — | 4 | 2 | no | — |
| 798 | C2×C4 | — | 4 | 2 | no | — |
| 799 | C2×C4 | — | 4 | 8 | no | — |
| 800 | C2×C4 | — | 8 | 16 | no | — |
| 801 | C2×C4 | — | 8 | 8 | no | — |
| 802 | C2×C4 | — | 8 | 16 | no | — |
| 803 | C2×C4 | C22×#102 | 1 | 8 | yes | — |
| 804 | C2×C4 | C22×#102 | 1 | 2 | yes | — |
| 805 | C2×C4 | C22×#102 | 1 | 2 | yes | — |
| 806 | C2×C4 | C22×#102 | 1 | 2 | yes | — |
| 807 | C2×C4 | C22×#102 | 1 | 1 | yes | characteristic |
| 808 | C2×C4 | C22×#102 | 1 | 1 | yes | characteristic |
| 809 | C2×C4 | C22×#102 | 1 | 2 | yes | — |
| 810 | C2×C4 | C23×C22⋊C4 | 1 | 1 | yes | characteristic |
| 811 | C2×C4 | #3496 | 1 | 2 | yes | — |
| 812 | C2×C4 | C23×D8 | 1 | 1 | yes | characteristic |
| 813 | C2×C4 | #3584 | 1 | 2 | yes | — |
| 814 | C8 | — | 2 | 2 | no | — |
| 815 | C8 | — | 2 | 2 | no | — |
| 816 | C8 | — | 2 | 1 | no | — |
| 817 | C8 | — | 2 | 1 | no | — |
| 818 | C8 | — | 2 | 8 | no | — |
| 819 | C8 | — | 8 | 8 | no | — |
| 820 | C8 | C4×H(5,𝔽2) | 1 | 2 | yes | — |
| 821 | C8 | #3484 | 1 | 1 | yes | characteristic |
| 822 | C8 | #3485 | 1 | 1 | yes | characteristic |
| 823 | C22 | — | 2 | 2 | no | — |
| 824 | C22 | — | 2 | 1 | no | — |
| 825 | C22 | — | 2 | 1 | no | — |
| 826 | C22 | — | 2 | 8 | no | — |
| 827 | C22 | — | 2 | 2 | no | — |
| 828 | C22 | — | 2 | 2 | no | — |
| 829 | C22 | — | 2 | 16 | no | — |
| 830 | C22 | — | 8 | 2 | no | — |
| 831 | C22 | — | 8 | 8 | no | — |
| 832 | C22 | — | 8 | 8 | no | — |
| 833 | C22 | — | 8 | 8 | no | — |
| 834 | C22 | — | 8 | 8 | no | — |
| 835 | C22 | — | 16 | 16 | no | — |
| 836 | C22 | — | 32 | 32 | no | — |
| 837 | C22 | C23×#102 | 1 | 1 | yes | characteristic |
| 838 | C22 | #62243 | 1 | 2 | yes | — |
| 839 | C4 | — | 2 | 1 | no | — |
| 840 | C4 | — | 2 | 1 | no | — |
| 841 | C4 | — | 2 | 8 | no | — |
| 842 | C4 | — | 2 | 2 | no | — |
| 843 | C4 | — | 2 | 2 | no | — |
| 844 | C4 | — | 2 | 2 | no | — |
| 845 | C4 | — | 8 | 8 | no | — |
| 846 | C4 | #33392 | 1 | 4 | yes | — |
| 847 | C4 | #34256 | 1 | 1 | yes | characteristic |
| 848 | C4 | #60086 | 1 | 1 | yes | characteristic |
| 849 | C4 | #62245 | 1 | 2 | yes | — |
| 850 | C2 | — | 2 | 2 | no | — |
| 851 | C2 | — | 4 | 1 | no | — |
| 852 | C2 | — | 4 | 1 | no | — |
| 853 | C2 | — | 4 | 8 | no | — |
| 854 | C2 | — | 16 | 8 | no | — |
| 855 | C2 | #6393452 | 1 | 1 | yes | characteristic |
| 856 | C2 | C2×#33392 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C23×#102 |
| commutator | C2×C8 | C24×C4 |
| Frattini, cosocle | C22×C8 | C25 |
| prime radical | C2×#62328 | C2 |
| LCS | G ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C2×#532 ◁ C2×#2931 ◁ G | |
| LECS | G ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #7622580 | C2 | semidirect |
| 3. #6386779 | C2 | semidirect |
| 4. #497559 | C2 | semidirect |
| 5. D4×#361 | C2 | semidirect |
| 6. #496605 | C2 | semidirect |
| 7. #496282 | C2 | semidirect |
| 8. #495568 | C2 | semidirect |
| 9. #494647 | C2 | semidirect |
| 11. C2×#3407 | C22 | semidirect |
| 28. D4×M32 | C22 | semidirect |
| 31. C2×#2150 | C22 | semidirect |
| 32. C22×#361 | C22 | semidirect |
| 33. #33333 | C22 | semidirect |
| 34. C2×C4×M32 | C22 | semidirect |
| 36. D4×#108 | C22 | semidirect |
| 39. #20826 | C22 | semidirect |
| 40. #20668 | C22 | semidirect |
| 41. #13290 | C22 | semidirect |
| 42. #13279 | C22 | semidirect |
| 45. #13067 | C22 | semidirect |
| 46. #13067 | C22 | semidirect |
| 47. #13067 | C22 | semidirect |
| 48. #13067 | C22 | semidirect |
| 49. #13004 | C22 | semidirect |
| 50. #12872 | C22 | semidirect |
| 51. #12818 | C22 | semidirect |
| 52. #12736 | C22 | semidirect |
| 53. C4×#361 | C22 | semidirect |
| 54. #12569 | C22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#62328 | 2 |
| #7622580 | 2 |
| #6386779 | 2 |
| #497559 | 2 |
| D4×#361 | 2 |
| #496605 | 2 |
| #496282 | 2 |
| #495568 | 2 |
| #494647 | 2 |