Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
14078 conjugacy classes of subgroups.
The subgroup lattice has 1380 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72343935 | C2 | 1 | 6 | yes | maximal, complemented |
| 2 | #72342023 | C2 | 1 | 2 | yes | maximal |
| 3 | #72320097 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72320016 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #72319842 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | #72319756 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #72319553 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72281609 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72281292 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #72239417 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #72239249 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #10585848 | C22 | 1 | 2 | yes | — |
| 13 | #10574037 | C22 | 1 | 1 | yes | characteristic |
| 14 | #7622577 | C22 | 1 | 6 | yes | — |
| 15 | #7622423 | — | 2 | 12 | no | — |
| 16 | #7622423 | C22 | 1 | 6 | yes | — |
| 17 | C2×#33329 | — | 2 | 12 | no | — |
| 18 | C2×#33329 | C22 | 1 | 3 | yes | — |
| 19 | C2×#33329 | C22 | 1 | 3 | yes | — |
| 20 | C23×#347 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#21483 | C4 | 1 | 1 | yes | characteristic |
| 22 | C2×#21483 | C22 | 1 | 1 | yes | characteristic |
| 23 | C4×#3025 | C4 | 1 | 1 | yes | characteristic |
| 24 | #6370031 | C22 | 1 | 3 | yes | — |
| 25 | #495678 | C4 | 1 | 16 | yes | complemented |
| 26 | #495677 | C4 | 1 | 16 | yes | complemented |
| 27 | C2×#12981 | C22 | 1 | 6 | yes | — |
| 28 | #494225 | C22 | 1 | 6 | yes | — |
| 29 | #493343 | C22 | 1 | 2 | yes | — |
| 30 | #493228 | — | 2 | 12 | no | — |
| 31 | D4×#347 | — | 2 | 12 | no | — |
| 32 | #493129 | C22 | 1 | 6 | yes | complemented |
| 33 | #493105 | C22 | 1 | 3 | yes | complemented |
| 34 | #492982 | C22 | 1 | 6 | yes | — |
| 35 | #492980 | C22 | 1 | 6 | yes | complemented |
| 36 | #492979 | C22 | 1 | 6 | yes | — |
| 37 | #492970 | C22 | 1 | 6 | yes | — |
| 38 | #492955 | C22 | 1 | 3 | yes | — |
| 39 | #492951 | C22 | 1 | 3 | yes | — |
| 40 | C2×#12605 | C22 | 1 | 3 | yes | complemented |
| 41 | #492832 | C22 | 1 | 3 | yes | complemented |
| 42 | #354788 | C4 | 1 | 1 | yes | characteristic |
| 43 | #354788 | C22 | 1 | 1 | yes | characteristic |
| 44 | #354786 | C4 | 1 | 1 | yes | characteristic |
| 45 | #354478 | C4 | 1 | 3 | yes | — |
| 46 | #354478 | C22 | 1 | 3 | yes | — |
| 47 | #354459 | C4 | 1 | 3 | yes | — |
| 48 | #354316 | C4 | 1 | 3 | yes | — |
| 49 | #354316 | C22 | 1 | 3 | yes | — |
| 50 | C4×#1891 | C4 | 1 | 3 | yes | — |
| 51 | #353208 | C22 | 1 | 3 | yes | — |
| 52 | #147380 | C22 | 1 | 6 | yes | complemented |
| 53 | #147157 | C22 | 1 | 12 | yes | complemented |
| 54 | #147129 | C22 | 1 | 6 | yes | complemented |
| 55 | #146409 | C22 | 1 | 6 | yes | — |
| 56 | #146401 | C22 | 1 | 6 | yes | — |
| 57 | #146375 | C22 | 1 | 6 | yes | — |
| 58 | #146325 | C22 | 1 | 12 | yes | complemented |
| 59 | #146310 | C22 | 1 | 6 | yes | complemented |
| 60 | C2×#3573 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | C2×#3573 | C23 | 1 | 1 | yes | characteristic |
| 62 | C4×#585 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | #62624 | — | 2 | 24 | no | — |
| 64 | #62624 | C2×C4 | 1 | 16 | yes | complemented |
| 65 | C2×#3407 | — | 2 | 24 | no | — |
| 66 | C2×#3407 | C23 | 1 | 6 | yes | — |
| 67 | C2×#3407 | C23 | 1 | 6 | yes | — |
| 68 | C23×M32 | C23 | 1 | 2 | yes | — |
| 69 | C2×#3025 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | C2×#2929 | C2×C4 | 1 | 3 | yes | — |
| 71 | C2×#2929 | C23 | 1 | 3 | yes | — |
| 72 | #60058 | — | 2 | 6 | no | — |
| 73 | #60058 | — | 2 | 6 | no | — |
| 74 | #60058 | C2×C4 | 1 | 3 | yes | — |
| 75 | #60058 | C23 | 1 | 3 | yes | — |
| 76 | C4×#568 | — | 2 | 6 | no | — |
| 77 | C4×#568 | C2×C4 | 1 | 3 | yes | — |
| 78 | C2×#2875 | — | 2 | 6 | no | — |
| 79 | C2×#2875 | C23 | 1 | 3 | yes | — |
| 80 | C23×#97 | C23 | 1 | 1 | yes | characteristic |
| 81 | C4×#525 | C2×C4 | 1 | 3 | yes | — |
| 82 | D4×M32 | — | 2 | 24 | no | — |
| 83 | #33436 | — | 2 | 24 | no | — |
| 84 | #33433 | C2×C4 | 1 | 24 | yes | complemented |
| 85 | #33432 | C2×C4 | 1 | 24 | yes | complemented |
| 86 | #33397 | C23 | 1 | 6 | yes | — |
| 87 | C2×#2115 | C23 | 1 | 6 | yes | — |
| 88 | #33333 | C23 | 1 | 6 | yes | — |
| 89 | C2×#2112 | C23 | 1 | 6 | yes | — |
| 90 | #33329 | — | 2 | 16 | no | — |
| 91 | #33329 | — | 2 | 48 | no | — |
| 92 | #33329 | — | 2 | 12 | no | — |
| 93 | #33329 | — | 2 | 12 | no | — |
| 94 | #33329 | — | 2 | 48 | no | — |
| 95 | #33329 | — | 2 | 12 | no | — |
| 96 | #33329 | — | 2 | 12 | no | — |
| 97 | C2×#2110 | — | 2 | 48 | no | — |
| 98 | C2×#2110 | — | 2 | 24 | no | — |
| 99 | C2×#2110 | — | 2 | 6 | no | — |
| 100 | C2×#2110 | D4 | 1 | 12 | yes | complemented |
| 101 | C2×#2110 | C23 | 1 | 6 | yes | — |
| 102 | C2×#2110 | C23 | 1 | 6 | yes | — |
| 103 | C2×#2110 | C23 | 1 | 6 | yes | — |
| 104 | C22×#347 | — | 2 | 16 | no | — |
| 105 | C22×#347 | — | 2 | 6 | no | — |
| 106 | C22×#347 | — | 2 | 6 | no | — |
| 107 | C22×#347 | — | 2 | 6 | no | — |
| 108 | C22×#347 | D4 | 1 | 12 | yes | complemented |
| 109 | C22×#347 | C23 | 1 | 1 | yes | characteristic |
| 110 | C22×#347 | C23 | 1 | 2 | yes | — |
| 111 | C22×#347 | C23 | 1 | 3 | yes | — |
| 112 | C22×#347 | C23 | 1 | 3 | yes | — |
| 113 | C22×#347 | C23 | 1 | 1 | yes | characteristic |
| 114 | #33324 | C23 | 1 | 6 | yes | — |
| 115 | #21483 | — | 2 | 4 | no | — |
| 116 | #21483 | — | 2 | 4 | no | — |
| 117 | #21483 | C2×C4 | 1 | 8 | yes | — |
| 118 | #21483 | C2×C4 | 1 | 8 | yes | — |
| 119 | C4×#458 | — | 2 | 4 | no | — |
| 120 | C4×B(4,𝔽2) | — | 2 | 4 | no | — |
| 121 | C2×#1891 | C2×C4 | 1 | 3 | yes | — |
| 122 | C2×#1891 | C2×C4 | 1 | 3 | yes | — |
| 123 | #20959 | C2×C4 | 1 | 3 | yes | — |
| 124 | C2×#1868 | C2×C4 | 1 | 3 | yes | — |
| 125 | C2×#1868 | C2×C4 | 1 | 3 | yes | — |
| 126 | #20888 | C2×C4 | 1 | 3 | yes | — |
| 127 | C2×#1791 | C2×C4 | 1 | 1 | yes | characteristic |
| 128 | C2×#1791 | C2×C4 | 1 | 1 | yes | characteristic |
| 129 | #20608 | C2×C4 | 1 | 1 | yes | characteristic |
| 130 | D4×#97 | — | 2 | 6 | no | — |
| 131 | #20493 | — | 2 | 6 | no | — |
| 132 | #20493 | — | 2 | 6 | no | — |
| 133 | #20491 | — | 2 | 6 | no | — |
| 134 | #20436 | C2×C4 | 1 | 3 | yes | — |
| 135 | #20436 | C23 | 1 | 3 | yes | — |
| 136 | #20427 | C2×C4 | 1 | 3 | yes | — |
| 137 | C2×#1757 | C2×C4 | 1 | 3 | yes | — |
| 138 | C2×#1757 | C2×C4 | 1 | 3 | yes | — |
| 139 | C2×#1757 | C23 | 1 | 3 | yes | — |
| 140 | C2×#1757 | C23 | 1 | 3 | yes | — |
| 141 | C4×#413 | C2×C4 | 1 | 3 | yes | — |
| 142 | C4×#410 | C2×C4 | 1 | 3 | yes | — |
| 143 | #20385 | C2×C4 | 1 | 3 | yes | — |
| 144 | #20385 | C23 | 1 | 3 | yes | — |
| 145 | #20384 | C2×C4 | 1 | 3 | yes | — |
| 146 | #20384 | C23 | 1 | 3 | yes | — |
| 147 | C4×#407 | C2×C4 | 1 | 3 | yes | — |
| 148 | #20375 | C2×C4 | 1 | 3 | yes | — |
| 149 | #20331 | C23 | 1 | 3 | yes | — |
| 150 | #12981 | C2×C4 | 1 | 24 | yes | complemented |
| 151 | #12981 | C2×C4 | 1 | 24 | yes | complemented |
| 152 | #12915 | C2×C4 | 1 | 48 | yes | complemented |
| 153 | #12684 | C2×C4 | 1 | 16 | yes | complemented |
| 154 | #12666 | — | 2 | 24 | no | — |
| 155 | #12658 | — | 2 | 6 | no | — |
| 156 | #12657 | — | 2 | 6 | no | — |
| 157 | #12617 | — | 2 | 24 | no | — |
| 158 | #12616 | — | 2 | 24 | no | — |
| 159 | #12616 | — | 2 | 24 | no | — |
| 160 | #12613 | C2×C4 | 1 | 48 | yes | complemented |
| 161 | #12608 | — | 2 | 6 | no | — |
| 162 | #12607 | — | 2 | 6 | no | — |
| 163 | #12606 | — | 2 | 6 | no | — |
| 164 | #12605 | — | 2 | 6 | no | — |
| 165 | #12605 | — | 2 | 6 | no | — |
| 166 | #12605 | — | 2 | 6 | no | — |
| 167 | #12554 | C23 | 1 | 12 | yes | — |
| 168 | C2×#1378 | C23 | 1 | 12 | yes | — |
| 169 | #12549 | C23 | 1 | 6 | yes | — |
| 170 | #12547 | C23 | 1 | 6 | yes | — |
| 171 | #12547 | C23 | 1 | 6 | yes | — |
| 172 | C2×#1375 | C23 | 1 | 6 | yes | — |
| 173 | #12541 | — | 2 | 6 | no | — |
| 174 | C4×#347 | — | 2 | 6 | no | — |
| 175 | #10937 | C2×C4 | 1 | 6 | yes | — |
| 176 | #10920 | C2×C4 | 1 | 6 | yes | — |
| 177 | #10920 | C2×C4 | 1 | 6 | yes | — |
| 178 | #10919 | C2×C4 | 1 | 6 | yes | — |
| 179 | #10748 | C2×C4 | 1 | 3 | yes | — |
| 180 | #10748 | C2×C4 | 1 | 3 | yes | — |
| 181 | #10747 | C2×C4 | 1 | 3 | yes | — |
| 182 | #10747 | C2×C4 | 1 | 3 | yes | — |
| 183 | #10746 | C2×C4 | 1 | 3 | yes | — |
| 184 | #10746 | C2×C4 | 1 | 3 | yes | — |
| 185 | #10711 | C2×C4 | 1 | 6 | yes | — |
| 186 | #10711 | C23 | 1 | 6 | yes | — |
| 187 | C4×#344 | C2×C4 | 1 | 6 | yes | — |
| 188 | C2×#585 | C22×C4 | 1 | 1 | yes | characteristic |
| 189 | #3573 | — | 2 | 12 | no | — |
| 190 | #3573 | — | 2 | 4 | no | — |
| 191 | #3573 | — | 4 | 6 | no | — |
| 192 | #3573 | C22×C4 | 1 | 8 | yes | — |
| 193 | C2×#568 | — | 2 | 6 | no | — |
| 194 | C2×#568 | — | 2 | 6 | no | — |
| 195 | C2×#568 | C22×C4 | 1 | 3 | yes | — |
| 196 | C2×#568 | C22×C4 | 1 | 3 | yes | — |
| 197 | C22×#131 | — | 2 | 6 | no | — |
| 198 | C22×#131 | — | 2 | 6 | no | — |
| 199 | C22×#131 | C22×C4 | 1 | 3 | yes | — |
| 200 | C22×#131 | C24 | 1 | 3 | yes | — |
| 201 | C24×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 202 | C24×C8 | C24 | 1 | 1 | yes | characteristic |
| 203 | C2×#525 | C22×C4 | 1 | 3 | yes | — |
| 204 | C4×2−1+4 | — | 4 | 3 | no | — |
| 205 | C4×H(5,𝔽2) | — | 2 | 4 | no | — |
| 206 | C4×H(5,𝔽2) | — | 4 | 3 | no | — |
| 207 | #3428 | — | 2 | 6 | no | — |
| 208 | #3428 | C22×C4 | 1 | 3 | yes | — |
| 209 | C2×C4×#41 | — | 2 | 6 | no | — |
| 210 | C2×C4×#41 | C22×C4 | 1 | 3 | yes | — |
| 211 | C23×C42 | C22×C4 | 1 | 1 | yes | characteristic |
| 212 | #3407 | — | 2 | 32 | no | — |
| 213 | #3407 | — | 2 | 96 | no | — |
| 214 | #3407 | — | 2 | 96 | no | — |
| 215 | #3407 | — | 2 | 24 | no | — |
| 216 | #3407 | — | 2 | 24 | no | — |
| 217 | #3407 | — | 2 | 24 | no | — |
| 218 | #3407 | — | 2 | 12 | no | — |
| 219 | #3407 | C22×C4 | 1 | 24 | yes | — |
| 220 | C2×#504 | — | 2 | 96 | no | — |
| 221 | C2×#504 | — | 2 | 96 | no | — |
| 222 | C2×#504 | — | 2 | 24 | no | — |
| 223 | C2×#504 | C22×C4 | 1 | 24 | yes | — |
| 224 | C2×#504 | #41 | 1 | 24 | yes | — |
| 225 | C22×M32 | — | 2 | 32 | no | — |
| 226 | C22×M32 | — | 2 | 12 | no | — |
| 227 | C22×M32 | — | 2 | 12 | no | — |
| 228 | C22×M32 | — | 2 | 12 | no | — |
| 229 | C22×M32 | C22×C4 | 1 | 4 | yes | complemented |
| 230 | C22×M32 | C2×D4 | 1 | 24 | yes | — |
| 231 | C22×M32 | C24 | 1 | 6 | yes | — |
| 232 | C22×M32 | C24 | 1 | 2 | yes | — |
| 233 | C22×M32 | C24 | 1 | 2 | yes | — |
| 234 | C22×M32 | C24 | 1 | 6 | yes | — |
| 235 | C23×C16 | C22×C4 | 1 | 4 | yes | complemented |
| 236 | #3025 | C42 | 1 | 4 | yes | — |
| 237 | #3025 | C42 | 1 | 4 | yes | — |
| 238 | #3025 | M16 | 1 | 4 | yes | — |
| 239 | #3025 | M16 | 1 | 4 | yes | — |
| 240 | C2×#458 | M16 | 1 | 4 | yes | — |
| 241 | C2×B(4,𝔽2) | M16 | 1 | 4 | yes | — |
| 242 | #2929 | — | 2 | 12 | no | — |
| 243 | #2929 | — | 2 | 6 | no | — |
| 244 | #2929 | — | 2 | 6 | no | — |
| 245 | #2929 | — | 4 | 6 | no | — |
| 246 | #2929 | C22×C4 | 1 | 12 | yes | — |
| 247 | #2929 | C22×C4 | 1 | 12 | yes | — |
| 248 | C2×#435 | — | 2 | 6 | no | — |
| 249 | C2×#435 | — | 2 | 6 | no | — |
| 250 | C2×C8×D4 | — | 2 | 6 | no | — |
| 251 | C2×C8×D4 | — | 2 | 6 | no | — |
| 252 | C2×#424 | C22×C4 | 1 | 3 | yes | — |
| 253 | C2×#424 | C22×C4 | 1 | 3 | yes | — |
| 254 | C2×#413 | C22×C4 | 1 | 3 | yes | — |
| 255 | C2×#413 | C22×C4 | 1 | 3 | yes | — |
| 256 | C2×#410 | C22×C4 | 1 | 3 | yes | — |
| 257 | C2×#410 | C22×C4 | 1 | 3 | yes | — |
| 258 | C2×#408 | C22×C4 | 1 | 3 | yes | — |
| 259 | C2×#408 | C22×C4 | 1 | 3 | yes | — |
| 260 | C2×#407 | C22×C4 | 1 | 3 | yes | — |
| 261 | C2×#407 | C22×C4 | 1 | 3 | yes | — |
| 262 | #2875 | — | 2 | 4 | no | — |
| 263 | #2875 | — | 2 | 12 | no | — |
| 264 | #2875 | — | 2 | 12 | no | — |
| 265 | #2875 | — | 2 | 12 | no | — |
| 266 | #2875 | — | 2 | 12 | no | — |
| 267 | #2875 | — | 2 | 12 | no | — |
| 268 | #2875 | — | 2 | 6 | no | — |
| 269 | #2875 | — | 2 | 12 | no | — |
| 270 | #2875 | — | 2 | 6 | no | — |
| 271 | #2875 | — | 2 | 6 | no | — |
| 272 | #2875 | — | 2 | 6 | no | — |
| 273 | C4×#131 | — | 2 | 24 | no | — |
| 274 | C4×#131 | — | 2 | 12 | no | — |
| 275 | C4×#131 | — | 2 | 12 | no | — |
| 276 | C4×#131 | — | 2 | 12 | no | — |
| 277 | #2873 | — | 2 | 24 | no | — |
| 278 | #2873 | — | 2 | 6 | no | — |
| 279 | #2873 | — | 2 | 6 | no | — |
| 280 | #2873 | — | 2 | 6 | no | — |
| 281 | #2873 | C22×C4 | 1 | 6 | yes | — |
| 282 | C2×#405 | — | 2 | 12 | no | — |
| 283 | C2×#405 | — | 2 | 12 | no | — |
| 284 | C2×#405 | — | 2 | 6 | no | — |
| 285 | C2×#405 | — | 2 | 6 | no | — |
| 286 | C2×#405 | C22×C4 | 1 | 3 | yes | — |
| 287 | C2×#405 | C22×C4 | 1 | 3 | yes | — |
| 288 | C2×#405 | C22×C4 | 1 | 3 | yes | — |
| 289 | C2×#405 | C2×D4 | 1 | 6 | yes | — |
| 290 | C2×#405 | #41 | 1 | 6 | yes | — |
| 291 | C2×#405 | C24 | 1 | 3 | yes | — |
| 292 | C2×#405 | C24 | 1 | 3 | yes | — |
| 293 | C2×#405 | C24 | 1 | 3 | yes | — |
| 294 | C2×C4×M16 | — | 2 | 12 | no | — |
| 295 | C2×C4×M16 | — | 2 | 6 | no | — |
| 296 | C2×C4×M16 | C22×C4 | 1 | 3 | yes | — |
| 297 | C2×C4×M16 | C22×C4 | 1 | 3 | yes | — |
| 298 | C2×C4×M16 | #41 | 1 | 6 | yes | — |
| 299 | C22×#97 | — | 2 | 4 | no | — |
| 300 | C22×#97 | — | 2 | 3 | no | — |
| 301 | C22×#97 | — | 2 | 3 | no | — |
| 302 | C22×#97 | — | 2 | 3 | no | — |
| 303 | C22×#97 | — | 2 | 3 | no | — |
| 304 | C22×#97 | C22×C4 | 1 | 1 | yes | characteristic |
| 305 | C22×#97 | C22×C4 | 1 | 1 | yes | characteristic |
| 306 | C22×#97 | C2×D4 | 1 | 6 | yes | — |
| 307 | C22×#97 | C24 | 1 | 1 | yes | characteristic |
| 308 | C22×#97 | C24 | 1 | 1 | yes | characteristic |
| 309 | C4×C22⋊Q8 | — | 4 | 3 | no | — |
| 310 | C4×#123 | — | 2 | 6 | no | — |
| 311 | C4×#121 | — | 4 | 3 | no | — |
| 312 | C4×#120 | — | 2 | 6 | no | — |
| 313 | #2297 | C22×C4 | 1 | 3 | yes | — |
| 314 | #2296 | C22×C4 | 1 | 3 | yes | — |
| 315 | #2290 | — | 2 | 6 | no | — |
| 316 | #2280 | C22×C4 | 1 | 3 | yes | — |
| 317 | C42×D4 | — | 2 | 6 | no | — |
| 318 | C4×#117 | C22×C4 | 1 | 3 | yes | — |
| 319 | #2169 | — | 2 | 48 | no | — |
| 320 | #2168 | — | 2 | 48 | no | — |
| 321 | #2168 | — | 2 | 48 | no | — |
| 322 | D4×C16 | — | 2 | 48 | no | — |
| 323 | #2151 | — | 2 | 12 | no | — |
| 324 | #2151 | C22×C4 | 1 | 24 | yes | complemented |
| 325 | #2150 | — | 2 | 12 | no | — |
| 326 | #2115 | — | 2 | 12 | no | — |
| 327 | #2115 | C22×C4 | 1 | 24 | yes | — |
| 328 | C2×#349 | — | 2 | 12 | no | — |
| 329 | #2113 | — | 2 | 12 | no | — |
| 330 | #2113 | C22×C4 | 1 | 24 | yes | — |
| 331 | #2112 | — | 2 | 12 | no | — |
| 332 | #2112 | — | 2 | 12 | no | — |
| 333 | #2112 | C22×C4 | 1 | 12 | yes | complemented |
| 334 | #2112 | C22×C4 | 1 | 12 | yes | complemented |
| 335 | C2×C22⋊C16 | — | 2 | 12 | no | — |
| 336 | #2110 | — | 2 | 96 | no | — |
| 337 | #2110 | — | 2 | 48 | no | — |
| 338 | #2110 | — | 2 | 24 | no | — |
| 339 | #2110 | — | 2 | 24 | no | — |
| 340 | #2110 | — | 2 | 48 | no | — |
| 341 | #2110 | — | 2 | 24 | no | — |
| 342 | C2×#347 | — | 2 | 24 | no | — |
| 343 | C2×#347 | — | 2 | 96 | no | — |
| 344 | C2×#347 | — | 2 | 24 | no | — |
| 345 | C2×#347 | — | 2 | 6 | no | — |
| 346 | C2×#347 | — | 2 | 12 | no | — |
| 347 | C2×#347 | — | 2 | 6 | no | — |
| 348 | C2×#347 | — | 2 | 24 | no | — |
| 349 | C2×#347 | — | 2 | 24 | no | — |
| 350 | C2×#347 | — | 2 | 12 | no | — |
| 351 | C2×#347 | — | 2 | 12 | no | — |
| 352 | C2×#347 | — | 2 | 3 | no | — |
| 353 | C2×#347 | — | 2 | 3 | no | — |
| 354 | C2×#347 | — | 2 | 3 | no | — |
| 355 | C2×#347 | — | 2 | 3 | no | — |
| 356 | C2×#347 | — | 2 | 6 | no | — |
| 357 | C2×#347 | — | 2 | 6 | no | — |
| 358 | C2×#347 | — | 4 | 4 | no | — |
| 359 | C2×#347 | — | 4 | 12 | no | — |
| 360 | C2×#347 | C2×D4 | 1 | 6 | yes | — |
| 361 | C2×#347 | C2×D4 | 1 | 24 | yes | — |
| 362 | C2×#347 | C2×D4 | 1 | 6 | yes | — |
| 363 | C2×#347 | C2×D4 | 1 | 6 | yes | — |
| 364 | C2×#347 | C2×D4 | 1 | 6 | yes | — |
| 365 | #2108 | — | 2 | 12 | no | — |
| 366 | #2108 | C22×C4 | 1 | 24 | yes | complemented |
| 367 | C4×M32 | — | 2 | 12 | no | — |
| 368 | #1891 | — | 2 | 6 | no | — |
| 369 | #1891 | — | 2 | 6 | no | — |
| 370 | #1891 | C42 | 1 | 12 | yes | — |
| 371 | #1891 | C42 | 1 | 12 | yes | — |
| 372 | #1890 | — | 2 | 6 | no | — |
| 373 | #1889 | — | 2 | 6 | no | — |
| 374 | #1868 | — | 2 | 12 | no | — |
| 375 | #1868 | C42 | 1 | 24 | yes | — |
| 376 | #1867 | — | 2 | 12 | no | — |
| 377 | #1791 | — | 2 | 4 | no | — |
| 378 | #1791 | C42 | 1 | 8 | yes | — |
| 379 | #1790 | — | 2 | 4 | no | — |
| 380 | #1771 | — | 2 | 6 | no | — |
| 381 | #1771 | — | 2 | 6 | no | — |
| 382 | #1770 | — | 2 | 6 | no | — |
| 383 | #1770 | — | 2 | 6 | no | — |
| 384 | #1768 | — | 2 | 6 | no | — |
| 385 | #1767 | — | 2 | 6 | no | — |
| 386 | #1757 | — | 2 | 12 | no | — |
| 387 | #1757 | — | 2 | 12 | no | — |
| 388 | #1757 | — | 4 | 6 | no | — |
| 389 | #1757 | C22×C4 | 1 | 24 | yes | — |
| 390 | C4×#101 | — | 4 | 3 | no | — |
| 391 | C4×#100 | — | 4 | 3 | no | — |
| 392 | C4×#99 | — | 2 | 12 | no | — |
| 393 | #1753 | — | 2 | 6 | no | — |
| 394 | #1753 | — | 2 | 6 | no | — |
| 395 | #1752 | — | 2 | 6 | no | — |
| 396 | #1752 | — | 2 | 6 | no | — |
| 397 | #1752 | — | 2 | 6 | no | — |
| 398 | #1752 | — | 2 | 6 | no | — |
| 399 | C8×C22⋊C4 | — | 2 | 6 | no | — |
| 400 | C8×C22⋊C4 | — | 2 | 6 | no | — |
| 401 | #1750 | — | 2 | 6 | no | — |
| 402 | #1749 | — | 2 | 6 | no | — |
| 403 | #1749 | — | 2 | 6 | no | — |
| 404 | C4×C22⋊C8 | — | 2 | 6 | no | — |
| 405 | C2×#344 | C22×C4 | 1 | 6 | yes | — |
| 406 | C2×#344 | C22×C4 | 1 | 6 | yes | — |
| 407 | C2×#344 | C22×C4 | 1 | 6 | yes | — |
| 408 | C2×#344 | C22×C4 | 1 | 6 | yes | — |
| 409 | #1742 | C22×C4 | 1 | 6 | yes | — |
| 410 | #1740 | C22×C4 | 1 | 6 | yes | — |
| 411 | #1729 | C22×C4 | 1 | 3 | yes | — |
| 412 | #1729 | C22×C4 | 1 | 3 | yes | — |
| 413 | #1729 | C22×C4 | 1 | 3 | yes | — |
| 414 | #1729 | C22×C4 | 1 | 3 | yes | — |
| 415 | #1728 | C22×C4 | 1 | 3 | yes | — |
| 416 | #1728 | C22×C4 | 1 | 3 | yes | — |
| 417 | #1726 | — | 2 | 3 | no | — |
| 418 | #1726 | — | 2 | 3 | no | — |
| 419 | C4×#97 | — | 2 | 3 | no | — |
| 420 | C4×#97 | — | 2 | 3 | no | — |
| 421 | #1379 | — | 2 | 24 | no | — |
| 422 | #1378 | C22×C4 | 1 | 48 | yes | complemented |
| 423 | #1376 | — | 2 | 12 | no | — |
| 424 | #1375 | — | 2 | 12 | no | — |
| 425 | #1375 | — | 2 | 12 | no | — |
| 426 | #1375 | — | 2 | 12 | no | — |
| 427 | #585 | — | 2 | 6 | no | — |
| 428 | #585 | — | 2 | 6 | no | — |
| 429 | #585 | C2×C42 | 1 | 4 | yes | — |
| 430 | #585 | C2×M16 | 1 | 4 | yes | — |
| 431 | C2×2−1+4 | — | 2 | 3 | no | — |
| 432 | C2×H(5,𝔽2) | — | 2 | 3 | no | — |
| 433 | C2×H(5,𝔽2) | C2×M16 | 1 | 4 | yes | — |
| 434 | C22×#41 | — | 2 | 6 | no | — |
| 435 | C22×#41 | C23×C4 | 1 | 3 | yes | — |
| 436 | C24×C4 | — | 2 | 1 | no | — |
| 437 | C24×C4 | C23×C4 | 1 | 1 | yes | characteristic |
| 438 | #568 | — | 2 | 48 | no | — |
| 439 | #568 | — | 2 | 6 | no | — |
| 440 | #568 | — | 2 | 48 | no | — |
| 441 | #568 | — | 2 | 12 | no | — |
| 442 | #568 | — | 2 | 6 | no | — |
| 443 | #568 | — | 2 | 6 | no | — |
| 444 | #568 | — | 4 | 6 | no | — |
| 445 | #568 | — | 4 | 24 | no | — |
| 446 | #568 | — | 4 | 24 | no | — |
| 447 | #568 | C2×C42 | 1 | 12 | yes | — |
| 448 | C2×#131 | — | 2 | 12 | no | — |
| 449 | C2×#131 | — | 2 | 4 | no | — |
| 450 | C2×#131 | — | 2 | 48 | no | — |
| 451 | C2×#131 | — | 2 | 12 | no | — |
| 452 | C2×#131 | — | 2 | 4 | no | — |
| 453 | C2×#131 | — | 2 | 6 | no | — |
| 454 | C2×#131 | — | 2 | 6 | no | — |
| 455 | C2×#131 | — | 2 | 12 | no | — |
| 456 | C2×#131 | — | 2 | 48 | no | — |
| 457 | C2×#131 | — | 2 | 12 | no | — |
| 458 | C2×#131 | — | 2 | 6 | no | — |
| 459 | C2×#131 | — | 2 | 6 | no | — |
| 460 | C2×#131 | — | 2 | 6 | no | — |
| 461 | C2×#131 | — | 2 | 6 | no | — |
| 462 | C2×#131 | — | 2 | 12 | no | — |
| 463 | C2×#131 | — | 4 | 6 | no | — |
| 464 | C2×#131 | — | 4 | 24 | no | — |
| 465 | C2×#131 | — | 4 | 24 | no | — |
| 466 | C2×#131 | C23×C4 | 1 | 12 | yes | — |
| 467 | C2×#131 | C2×#41 | 1 | 12 | yes | — |
| 468 | C22×M16 | — | 2 | 12 | no | — |
| 469 | C22×M16 | — | 2 | 6 | no | — |
| 470 | C22×M16 | — | 2 | 12 | no | — |
| 471 | C22×M16 | — | 2 | 6 | no | — |
| 472 | C22×M16 | C4×D4 | 1 | 6 | yes | — |
| 473 | C22×M16 | C23×C4 | 1 | 3 | yes | — |
| 474 | C22×M16 | C23×C4 | 1 | 3 | yes | — |
| 475 | C22×M16 | C23×C4 | 1 | 3 | yes | — |
| 476 | C22×M16 | C23×C4 | 1 | 3 | yes | — |
| 477 | C22×M16 | C2×#41 | 1 | 6 | yes | — |
| 478 | C23×C8 | — | 2 | 4 | no | — |
| 479 | C23×C8 | — | 2 | 4 | no | — |
| 480 | C23×C8 | — | 2 | 3 | no | — |
| 481 | C23×C8 | — | 2 | 3 | no | — |
| 482 | C23×C8 | — | 2 | 6 | no | — |
| 483 | C23×C8 | — | 2 | 1 | no | — |
| 484 | C23×C8 | — | 2 | 1 | no | — |
| 485 | C23×C8 | — | 2 | 3 | no | — |
| 486 | C23×C8 | — | 2 | 3 | no | — |
| 487 | C23×C8 | — | 4 | 3 | no | — |
| 488 | C23×C8 | C4×D4 | 1 | 6 | yes | — |
| 489 | C23×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 490 | C23×C8 | C23×C4 | 1 | 2 | yes | — |
| 491 | C23×C8 | C23×C4 | 1 | 2 | yes | — |
| 492 | C23×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 493 | C23×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 494 | C23×C8 | C22×D4 | 1 | 6 | yes | — |
| 495 | C23×C8 | C25 | 1 | 1 | yes | characteristic |
| 496 | #525 | — | 2 | 6 | no | — |
| 497 | #525 | — | 2 | 6 | no | — |
| 498 | #525 | C2×C42 | 1 | 6 | yes | — |
| 499 | #525 | C2×C42 | 1 | 6 | yes | — |
| 500 | #525 | C2×M16 | 1 | 6 | yes | — |
| 501 | #525 | C2×M16 | 1 | 6 | yes | — |
| 502 | C2×#123 | C2×M16 | 1 | 6 | yes | — |
| 503 | C2×C22⋊Q8 | — | 2 | 3 | no | — |
| 504 | C2×#121 | — | 2 | 3 | no | — |
| 505 | C2×#120 | C2×M16 | 1 | 6 | yes | — |
| 506 | #520 | — | 4 | 6 | no | — |
| 507 | #520 | — | 4 | 12 | no | — |
| 508 | #520 | — | 4 | 12 | no | — |
| 509 | #519 | — | 2 | 3 | no | — |
| 510 | #519 | — | 4 | 6 | no | — |
| 511 | #518 | — | 2 | 6 | no | — |
| 512 | #518 | — | 2 | 3 | no | — |
| 513 | #518 | — | 4 | 12 | no | — |
| 514 | #518 | — | 4 | 6 | no | — |
| 515 | C4×#41 | — | 2 | 12 | no | — |
| 516 | C4×#41 | — | 2 | 4 | no | — |
| 517 | C4×#41 | — | 2 | 12 | no | — |
| 518 | C4×#41 | — | 2 | 6 | no | — |
| 519 | C4×#41 | — | 2 | 6 | no | — |
| 520 | C4×#41 | — | 4 | 6 | no | — |
| 521 | C4×#41 | — | 4 | 12 | no | — |
| 522 | C4×#41 | — | 4 | 12 | no | — |
| 523 | C2×C4×Q8 | — | 2 | 3 | no | — |
| 524 | C2×C4×Q8 | — | 4 | 6 | no | — |
| 525 | C2×C4×D4 | — | 2 | 6 | no | — |
| 526 | C2×C4×D4 | — | 2 | 6 | no | — |
| 527 | C2×C4×D4 | — | 2 | 3 | no | — |
| 528 | C2×C4×D4 | — | 4 | 12 | no | — |
| 529 | C2×C4×D4 | — | 4 | 6 | no | — |
| 530 | C2×C4×D4 | — | 4 | 6 | no | — |
| 531 | C2×#117 | — | 2 | 12 | no | — |
| 532 | C2×#117 | — | 2 | 6 | no | — |
| 533 | C2×#117 | C4×D4 | 1 | 6 | yes | — |
| 534 | C2×#117 | C23×C4 | 1 | 3 | yes | — |
| 535 | C2×#117 | C23×C4 | 1 | 3 | yes | — |
| 536 | C2×#117 | C23×C4 | 1 | 3 | yes | — |
| 537 | C22×C42 | — | 2 | 4 | no | — |
| 538 | C22×C42 | — | 2 | 3 | no | — |
| 539 | C22×C42 | — | 2 | 3 | no | — |
| 540 | C22×C42 | — | 2 | 1 | no | — |
| 541 | C22×C42 | — | 4 | 3 | no | — |
| 542 | C22×C42 | C4×D4 | 1 | 6 | yes | — |
| 543 | C22×C42 | C23×C4 | 1 | 1 | yes | characteristic |
| 544 | C22×C42 | C23×C4 | 1 | 1 | yes | characteristic |
| 545 | #504 | — | 2 | 96 | no | — |
| 546 | #504 | — | 2 | 192 | no | — |
| 547 | #504 | — | 2 | 64 | no | — |
| 548 | #504 | — | 2 | 96 | no | — |
| 549 | #504 | — | 2 | 96 | no | — |
| 550 | #504 | — | 2 | 96 | no | — |
| 551 | C2×M32 | — | 2 | 48 | no | — |
| 552 | C2×M32 | — | 2 | 192 | no | — |
| 553 | C2×M32 | — | 2 | 24 | no | — |
| 554 | C2×M32 | — | 2 | 48 | no | — |
| 555 | C2×M32 | — | 2 | 12 | no | — |
| 556 | C2×M32 | — | 2 | 12 | no | — |
| 557 | C2×M32 | — | 2 | 48 | no | — |
| 558 | C2×M32 | — | 2 | 48 | no | — |
| 559 | C2×M32 | — | 2 | 6 | no | — |
| 560 | C2×M32 | — | 2 | 6 | no | — |
| 561 | C2×M32 | — | 2 | 6 | no | — |
| 562 | C2×M32 | — | 2 | 24 | no | — |
| 563 | C2×M32 | — | 2 | 12 | no | — |
| 564 | C2×M32 | — | 2 | 12 | no | — |
| 565 | C2×M32 | — | 4 | 8 | no | — |
| 566 | C2×M32 | — | 4 | 24 | no | — |
| 567 | C2×M32 | C4×D4 | 1 | 48 | yes | complemented |
| 568 | C2×M32 | C23×C4 | 1 | 12 | yes | — |
| 569 | C2×M32 | C23×C4 | 1 | 12 | yes | — |
| 570 | C2×M32 | C22×D4 | 1 | 12 | yes | — |
| 571 | C2×M32 | C22×D4 | 1 | 12 | yes | — |
| 572 | C2×M32 | C2×#41 | 1 | 12 | yes | — |
| 573 | C22×C16 | — | 2 | 24 | no | — |
| 574 | C22×C16 | — | 2 | 64 | no | — |
| 575 | C22×C16 | — | 2 | 6 | no | — |
| 576 | C22×C16 | — | 2 | 24 | no | — |
| 577 | C22×C16 | C4×D4 | 1 | 48 | yes | complemented |
| 578 | C22×C16 | C23×C4 | 1 | 4 | yes | — |
| 579 | C22×C16 | C23×C4 | 1 | 4 | yes | — |
| 580 | C22×C16 | C2×#41 | 1 | 12 | yes | — |
| 581 | #458 | #97 | 1 | 16 | yes | — |
| 582 | #458 | #97 | 1 | 16 | yes | — |
| 583 | B(4,𝔽2) | #97 | 1 | 16 | yes | — |
| 584 | B(4,𝔽2) | #97 | 1 | 16 | yes | — |
| 585 | #435 | — | 2 | 24 | no | — |
| 586 | #435 | — | 2 | 24 | no | — |
| 587 | #435 | — | 4 | 12 | no | — |
| 588 | #435 | — | 4 | 12 | no | — |
| 589 | C8×D4 | — | 2 | 24 | no | — |
| 590 | C8×D4 | — | 2 | 24 | no | — |
| 591 | C8×D4 | — | 4 | 12 | no | — |
| 592 | C8×D4 | — | 4 | 12 | no | — |
| 593 | #424 | — | 2 | 6 | no | — |
| 594 | #424 | — | 2 | 6 | no | — |
| 595 | #424 | — | 4 | 3 | no | — |
| 596 | #424 | C2×C42 | 1 | 12 | yes | — |
| 597 | C2×C4⋊C8 | — | 2 | 6 | no | — |
| 598 | C2×C4⋊C8 | — | 2 | 6 | no | — |
| 599 | #413 | — | 2 | 6 | no | — |
| 600 | #413 | — | 2 | 6 | no | — |
| 601 | #413 | — | 2 | 6 | no | — |
| 602 | #413 | C2×C42 | 1 | 12 | yes | — |
| 603 | C2×#101 | — | 2 | 3 | no | — |
| 604 | C2×#101 | — | 2 | 3 | no | — |
| 605 | C2×#100 | — | 2 | 3 | no | — |
| 606 | C2×#100 | — | 2 | 3 | no | — |
| 607 | #410 | — | 2 | 6 | no | — |
| 608 | #410 | — | 2 | 6 | no | — |
| 609 | #410 | C2×C42 | 1 | 12 | yes | — |
| 610 | #410 | C2×M16 | 1 | 12 | yes | — |
| 611 | C2×#99 | — | 2 | 6 | no | — |
| 612 | C2×#99 | C2×M16 | 1 | 12 | yes | — |
| 613 | #408 | — | 2 | 6 | no | — |
| 614 | #408 | — | 2 | 6 | no | — |
| 615 | #408 | — | 2 | 6 | no | — |
| 616 | #408 | C2×C42 | 1 | 12 | yes | — |
| 617 | #407 | — | 2 | 6 | no | — |
| 618 | #407 | — | 2 | 3 | no | — |
| 619 | #407 | — | 2 | 3 | no | — |
| 620 | #407 | — | 4 | 3 | no | — |
| 621 | #407 | C2×C42 | 1 | 6 | yes | — |
| 622 | #407 | C2×C42 | 1 | 6 | yes | — |
| 623 | C2×C22⋊C8 | — | 2 | 6 | no | — |
| 624 | C2×C22⋊C8 | — | 2 | 6 | no | — |
| 625 | C2×C22⋊C8 | — | 2 | 6 | no | — |
| 626 | C2×C22⋊C8 | — | 2 | 6 | no | — |
| 627 | #405 | — | 2 | 12 | no | — |
| 628 | #405 | — | 2 | 12 | no | — |
| 629 | #405 | — | 2 | 24 | no | — |
| 630 | #405 | — | 2 | 24 | no | — |
| 631 | #405 | — | 2 | 24 | no | — |
| 632 | #405 | — | 2 | 24 | no | — |
| 633 | #405 | — | 2 | 12 | no | — |
| 634 | #405 | — | 2 | 12 | no | — |
| 635 | #405 | — | 2 | 6 | no | — |
| 636 | #405 | — | 2 | 12 | no | — |
| 637 | #405 | — | 2 | 12 | no | — |
| 638 | #405 | — | 2 | 6 | no | — |
| 639 | #405 | — | 2 | 6 | no | — |
| 640 | #405 | — | 2 | 6 | no | — |
| 641 | #405 | — | 2 | 6 | no | — |
| 642 | #405 | — | 2 | 12 | no | — |
| 643 | #405 | — | 2 | 12 | no | — |
| 644 | #405 | — | 2 | 12 | no | — |
| 645 | #405 | — | 2 | 12 | no | — |
| 646 | #405 | — | 2 | 12 | no | — |
| 647 | #405 | — | 2 | 6 | no | — |
| 648 | #405 | — | 4 | 3 | no | — |
| 649 | #405 | — | 4 | 6 | no | — |
| 650 | #405 | C23×C4 | 1 | 12 | yes | — |
| 651 | C4×M16 | — | 2 | 12 | no | — |
| 652 | C4×M16 | — | 2 | 24 | no | — |
| 653 | C4×M16 | — | 2 | 24 | no | — |
| 654 | C4×M16 | — | 2 | 12 | no | — |
| 655 | C4×M16 | — | 2 | 6 | no | — |
| 656 | C4×M16 | — | 2 | 12 | no | — |
| 657 | C4×M16 | — | 2 | 6 | no | — |
| 658 | C4×M16 | — | 2 | 12 | no | — |
| 659 | C4×M16 | — | 2 | 12 | no | — |
| 660 | C4×M16 | — | 4 | 6 | no | — |
| 661 | C2×#97 | — | 2 | 12 | no | — |
| 662 | C2×#97 | — | 2 | 12 | no | — |
| 663 | C2×#97 | — | 2 | 12 | no | — |
| 664 | C2×#97 | — | 2 | 3 | no | — |
| 665 | C2×#97 | — | 2 | 6 | no | — |
| 666 | C2×#97 | — | 2 | 6 | no | — |
| 667 | C2×#97 | — | 2 | 6 | no | — |
| 668 | C2×#97 | — | 2 | 6 | no | — |
| 669 | C2×#97 | — | 2 | 3 | no | — |
| 670 | C2×#97 | — | 2 | 3 | no | — |
| 671 | C2×#97 | — | 2 | 3 | no | — |
| 672 | C2×#97 | — | 2 | 3 | no | — |
| 673 | C2×#97 | — | 2 | 3 | no | — |
| 674 | C2×#97 | — | 2 | 3 | no | — |
| 675 | C2×#97 | — | 2 | 3 | no | — |
| 676 | C2×#97 | — | 2 | 3 | no | — |
| 677 | C2×#97 | — | 2 | 3 | no | — |
| 678 | C2×#97 | — | 2 | 3 | no | — |
| 679 | C2×#97 | — | 4 | 1 | no | — |
| 680 | C2×#97 | — | 4 | 3 | no | — |
| 681 | C2×#97 | — | 4 | 3 | no | — |
| 682 | C2×#97 | — | 4 | 3 | no | — |
| 683 | C2×#97 | — | 4 | 6 | no | — |
| 684 | C2×#97 | C4×D4 | 1 | 6 | yes | — |
| 685 | C2×#97 | C4×D4 | 1 | 6 | yes | — |
| 686 | C2×#97 | C22×D4 | 1 | 6 | yes | — |
| 687 | C2×#97 | C22×D4 | 1 | 3 | yes | — |
| 688 | C2×#97 | C22×D4 | 1 | 3 | yes | — |
| 689 | C2×#97 | C2×#41 | 1 | 3 | yes | — |
| 690 | C2×#97 | C2×#41 | 1 | 3 | yes | — |
| 691 | C2×C4×C8 | — | 2 | 12 | no | — |
| 692 | C2×C4×C8 | — | 2 | 12 | no | — |
| 693 | C2×C4×C8 | — | 2 | 12 | no | — |
| 694 | C2×C4×C8 | — | 2 | 3 | no | — |
| 695 | C2×C4×C8 | — | 2 | 3 | no | — |
| 696 | C2×C4×C8 | — | 2 | 3 | no | — |
| 697 | C2×C4×C8 | — | 2 | 3 | no | — |
| 698 | C2×C4×C8 | — | 2 | 3 | no | — |
| 699 | C2×C4×C8 | C4×D4 | 1 | 6 | yes | — |
| 700 | C2×C4×C8 | C4×D4 | 1 | 6 | yes | — |
| 701 | C2×C4×C8 | C2×#41 | 1 | 6 | yes | — |
| 702 | #391 | — | 2 | 3 | no | — |
| 703 | #390 | — | 2 | 3 | no | — |
| 704 | #389 | — | 4 | 3 | no | — |
| 705 | #388 | — | 4 | 6 | no | — |
| 706 | #387 | — | 4 | 6 | no | — |
| 707 | #386 | — | 2 | 6 | no | — |
| 708 | #386 | — | 4 | 6 | no | — |
| 709 | #385 | — | 2 | 6 | no | — |
| 710 | #385 | — | 4 | 6 | no | — |
| 711 | #381 | — | 2 | 3 | no | — |
| 712 | #380 | — | 4 | 3 | no | — |
| 713 | #379 | — | 2 | 3 | no | — |
| 714 | C4×C4⋊C4 | — | 2 | 6 | no | — |
| 715 | C4×C4⋊C4 | — | 4 | 3 | no | — |
| 716 | C4×C4⋊C4 | — | 4 | 6 | no | — |
| 717 | C4×C22⋊C4 | — | 2 | 6 | no | — |
| 718 | C4×C22⋊C4 | — | 2 | 6 | no | — |
| 719 | C4×C22⋊C4 | — | 2 | 6 | no | — |
| 720 | C4×C22⋊C4 | — | 4 | 6 | no | — |
| 721 | C4×C22⋊C4 | — | 4 | 6 | no | — |
| 722 | #376 | — | 2 | 3 | no | — |
| 723 | C43 | — | 2 | 3 | no | — |
| 724 | C4⋊C16 | — | 2 | 48 | no | — |
| 725 | #349 | — | 2 | 48 | no | — |
| 726 | C22⋊C16 | — | 2 | 48 | no | — |
| 727 | C22⋊C16 | — | 2 | 24 | no | — |
| 728 | C22⋊C16 | — | 2 | 24 | no | — |
| 729 | #347 | — | 2 | 48 | no | — |
| 730 | #347 | — | 2 | 48 | no | — |
| 731 | #347 | — | 2 | 6 | no | — |
| 732 | #347 | — | 2 | 12 | no | — |
| 733 | #347 | — | 2 | 6 | no | — |
| 734 | #347 | — | 4 | 8 | no | — |
| 735 | #347 | — | 4 | 24 | no | — |
| 736 | #347 | — | 4 | 1 | no | — |
| 737 | #347 | — | 4 | 3 | no | — |
| 738 | #347 | — | 4 | 3 | no | — |
| 739 | #347 | — | 4 | 3 | no | — |
| 740 | #347 | — | 4 | 6 | no | — |
| 741 | #347 | #120 | 1 | 4 | yes | — |
| 742 | #347 | #120 | 1 | 12 | yes | — |
| 743 | #346 | — | 2 | 24 | no | — |
| 744 | C4×C16 | — | 2 | 24 | no | — |
| 745 | #344 | — | 2 | 12 | no | — |
| 746 | #344 | — | 2 | 12 | no | — |
| 747 | #344 | — | 4 | 6 | no | — |
| 748 | #344 | C2×C42 | 1 | 24 | yes | — |
| 749 | #343 | — | 4 | 6 | no | — |
| 750 | #342 | — | 2 | 12 | no | — |
| 751 | #336 | — | 2 | 6 | no | — |
| 752 | #336 | — | 2 | 6 | no | — |
| 753 | #336 | — | 2 | 6 | no | — |
| 754 | #336 | — | 2 | 6 | no | — |
| 755 | #336 | — | 2 | 6 | no | — |
| 756 | #336 | — | 2 | 6 | no | — |
| 757 | C25 | C22×M16 | 1 | 1 | yes | characteristic |
| 758 | 2−1+4 | — | 2 | 24 | no | — |
| 759 | 2−1+4 | — | 2 | 12 | no | — |
| 760 | 2−1+4 | — | 2 | 12 | no | — |
| 761 | H(5,𝔽2) | — | 2 | 24 | no | — |
| 762 | H(5,𝔽2) | — | 2 | 12 | no | — |
| 763 | H(5,𝔽2) | — | 2 | 12 | no | — |
| 764 | H(5,𝔽2) | — | 2 | 24 | no | — |
| 765 | H(5,𝔽2) | C2×#97 | 1 | 16 | yes | — |
| 766 | C2×#41 | — | 2 | 4 | no | — |
| 767 | C2×#41 | — | 2 | 12 | no | — |
| 768 | C2×#41 | — | 2 | 24 | no | — |
| 769 | C2×#41 | — | 2 | 24 | no | — |
| 770 | C2×#41 | — | 2 | 6 | no | — |
| 771 | C2×#41 | — | 2 | 6 | no | — |
| 772 | C2×#41 | — | 2 | 12 | no | — |
| 773 | C2×#41 | — | 2 | 24 | no | — |
| 774 | C2×#41 | — | 2 | 24 | no | — |
| 775 | C2×#41 | — | 2 | 6 | no | — |
| 776 | C2×#41 | — | 2 | 6 | no | — |
| 777 | C2×#41 | C22×C42 | 1 | 6 | yes | — |
| 778 | C2×#41 | C4×#41 | 1 | 6 | yes | — |
| 779 | C2×#41 | C22×M16 | 1 | 6 | yes | — |
| 780 | C2×#41 | #568 | 1 | 6 | yes | — |
| 781 | C22×Q8 | — | 2 | 6 | no | — |
| 782 | C22×Q8 | #568 | 1 | 3 | yes | — |
| 783 | C22×D4 | — | 2 | 6 | no | — |
| 784 | C22×D4 | — | 2 | 12 | no | — |
| 785 | C22×D4 | — | 2 | 6 | no | — |
| 786 | C22×D4 | C22×M16 | 1 | 6 | yes | — |
| 787 | C22×D4 | #568 | 1 | 3 | yes | — |
| 788 | C23×C4 | — | 2 | 4 | no | — |
| 789 | C23×C4 | — | 2 | 1 | no | — |
| 790 | C23×C4 | — | 2 | 3 | no | — |
| 791 | C23×C4 | — | 2 | 3 | no | — |
| 792 | C23×C4 | — | 2 | 3 | no | — |
| 793 | C23×C4 | — | 2 | 3 | no | — |
| 794 | C23×C4 | — | 2 | 6 | no | — |
| 795 | C23×C4 | — | 2 | 1 | no | — |
| 796 | C23×C4 | — | 4 | 3 | no | — |
| 797 | C23×C4 | — | 4 | 3 | no | — |
| 798 | C23×C4 | — | 4 | 4 | no | — |
| 799 | C23×C4 | — | 16 | 2 | no | — |
| 800 | C23×C4 | C22×C42 | 1 | 1 | yes | characteristic |
| 801 | C23×C4 | C22×C42 | 1 | 1 | yes | characteristic |
| 802 | C23×C4 | C2×C4×D4 | 1 | 6 | yes | — |
| 803 | C23×C4 | C22×M16 | 1 | 1 | yes | characteristic |
| 804 | C23×C4 | C22×M16 | 1 | 1 | yes | characteristic |
| 805 | C23×C4 | C22×M16 | 1 | 1 | yes | characteristic |
| 806 | C23×C4 | C24×C4 | 1 | 1 | yes | characteristic |
| 807 | #131 | — | 2 | 32 | no | — |
| 808 | #131 | — | 2 | 48 | no | — |
| 809 | #131 | — | 2 | 96 | no | — |
| 810 | #131 | — | 2 | 24 | no | — |
| 811 | #131 | — | 2 | 24 | no | — |
| 812 | #131 | — | 2 | 24 | no | — |
| 813 | #131 | — | 2 | 24 | no | — |
| 814 | #131 | — | 2 | 48 | no | — |
| 815 | #131 | — | 4 | 12 | no | — |
| 816 | #131 | — | 4 | 12 | no | — |
| 817 | #131 | — | 4 | 12 | no | — |
| 818 | #131 | — | 4 | 12 | no | — |
| 819 | #131 | — | 4 | 24 | no | — |
| 820 | #131 | — | 4 | 24 | no | — |
| 821 | #131 | — | 4 | 16 | no | — |
| 822 | #131 | — | 4 | 48 | no | — |
| 823 | C2×M16 | — | 2 | 12 | no | — |
| 824 | C2×M16 | — | 2 | 24 | no | — |
| 825 | C2×M16 | — | 2 | 96 | no | — |
| 826 | C2×M16 | — | 2 | 6 | no | — |
| 827 | C2×M16 | — | 2 | 6 | no | — |
| 828 | C2×M16 | — | 2 | 24 | no | — |
| 829 | C2×M16 | — | 2 | 12 | no | — |
| 830 | C2×M16 | — | 2 | 6 | no | — |
| 831 | C2×M16 | — | 2 | 3 | no | — |
| 832 | C2×M16 | — | 2 | 12 | no | — |
| 833 | C2×M16 | — | 2 | 3 | no | — |
| 834 | C2×M16 | — | 2 | 3 | no | — |
| 835 | C2×M16 | — | 2 | 6 | no | — |
| 836 | C2×M16 | — | 2 | 12 | no | — |
| 837 | C2×M16 | — | 2 | 12 | no | — |
| 838 | C2×M16 | — | 2 | 12 | no | — |
| 839 | C2×M16 | — | 2 | 6 | no | — |
| 840 | C2×M16 | — | 2 | 6 | no | — |
| 841 | C2×M16 | — | 2 | 6 | no | — |
| 842 | C2×M16 | — | 2 | 3 | no | — |
| 843 | C2×M16 | — | 2 | 6 | no | — |
| 844 | C2×M16 | — | 2 | 3 | no | — |
| 845 | C2×M16 | — | 4 | 6 | no | — |
| 846 | C2×M16 | — | 4 | 48 | no | — |
| 847 | C2×M16 | — | 4 | 12 | no | — |
| 848 | C2×M16 | — | 4 | 12 | no | — |
| 849 | C2×M16 | C22×C42 | 1 | 6 | yes | — |
| 850 | C2×M16 | C22×C42 | 1 | 6 | yes | — |
| 851 | C2×M16 | C4×#41 | 1 | 24 | yes | — |
| 852 | C2×M16 | C4×#41 | 1 | 6 | yes | — |
| 853 | C22×C8 | — | 2 | 12 | no | — |
| 854 | C22×C8 | — | 2 | 32 | no | — |
| 855 | C22×C8 | — | 2 | 1 | no | — |
| 856 | C22×C8 | — | 2 | 3 | no | — |
| 857 | C22×C8 | — | 2 | 6 | no | — |
| 858 | C22×C8 | — | 2 | 6 | no | — |
| 859 | C22×C8 | — | 2 | 12 | no | — |
| 860 | C22×C8 | — | 2 | 12 | no | — |
| 861 | C22×C8 | — | 2 | 3 | no | — |
| 862 | C22×C8 | — | 2 | 3 | no | — |
| 863 | C22×C8 | — | 2 | 3 | no | — |
| 864 | C22×C8 | — | 2 | 12 | no | — |
| 865 | C22×C8 | — | 2 | 6 | no | — |
| 866 | C22×C8 | — | 2 | 6 | no | — |
| 867 | C22×C8 | — | 2 | 6 | no | — |
| 868 | C22×C8 | — | 2 | 6 | no | — |
| 869 | C22×C8 | — | 2 | 6 | no | — |
| 870 | C22×C8 | — | 2 | 6 | no | — |
| 871 | C22×C8 | — | 2 | 3 | no | — |
| 872 | C22×C8 | — | 2 | 3 | no | — |
| 873 | C22×C8 | — | 2 | 1 | no | — |
| 874 | C22×C8 | — | 2 | 3 | no | — |
| 875 | C22×C8 | — | 4 | 6 | no | — |
| 876 | C22×C8 | — | 4 | 3 | no | — |
| 877 | C22×C8 | — | 4 | 3 | no | — |
| 878 | C22×C8 | — | 4 | 3 | no | — |
| 879 | C22×C8 | — | 4 | 3 | no | — |
| 880 | C22×C8 | — | 4 | 16 | no | — |
| 881 | C22×C8 | — | 4 | 1 | no | — |
| 882 | C22×C8 | — | 4 | 3 | no | — |
| 883 | C22×C8 | — | 4 | 6 | no | — |
| 884 | C22×C8 | — | 4 | 6 | no | — |
| 885 | C22×C8 | — | 4 | 3 | no | — |
| 886 | C22×C8 | — | 4 | 1 | no | — |
| 887 | C22×C8 | — | 8 | 3 | no | — |
| 888 | C22×C8 | — | 8 | 3 | no | — |
| 889 | C22×C8 | C22×C42 | 1 | 2 | yes | — |
| 890 | C22×C8 | C2×C4×D4 | 1 | 6 | yes | — |
| 891 | C22×C8 | C2×C4×D4 | 1 | 24 | yes | — |
| 892 | C22×C8 | C2×C4×D4 | 1 | 6 | yes | — |
| 893 | C22×C8 | C2×C4×D4 | 1 | 3 | yes | — |
| 894 | C22×C8 | C2×C4×D4 | 1 | 3 | yes | — |
| 895 | C22×C8 | C24×C4 | 1 | 2 | yes | — |
| 896 | C22×C8 | C23×D4 | 1 | 3 | yes | — |
| 897 | C22×C8 | C22×#41 | 1 | 6 | yes | — |
| 898 | C22×C8 | C22×#41 | 1 | 3 | yes | — |
| 899 | #123 | — | 2 | 12 | no | — |
| 900 | #123 | C2×#97 | 1 | 12 | yes | — |
| 901 | #123 | C2×#97 | 1 | 12 | yes | — |
| 902 | C22⋊Q8 | — | 2 | 6 | no | — |
| 903 | C22⋊Q8 | — | 2 | 6 | no | — |
| 904 | C22⋊Q8 | — | 2 | 6 | no | — |
| 905 | C22⋊Q8 | — | 2 | 6 | no | — |
| 906 | #121 | — | 2 | 6 | no | — |
| 907 | #121 | — | 2 | 6 | no | — |
| 908 | #121 | — | 2 | 6 | no | — |
| 909 | #121 | — | 2 | 6 | no | — |
| 910 | #120 | — | 2 | 12 | no | — |
| 911 | #120 | C2×#97 | 1 | 12 | yes | — |
| 912 | #120 | C2×#97 | 1 | 12 | yes | — |
| 913 | C4×Q8 | — | 4 | 6 | no | — |
| 914 | C4×Q8 | — | 4 | 6 | no | — |
| 915 | C4×Q8 | — | 4 | 12 | no | — |
| 916 | C4×Q8 | — | 4 | 4 | no | — |
| 917 | C4×Q8 | — | 4 | 12 | no | — |
| 918 | C4×D4 | — | 2 | 12 | no | — |
| 919 | C4×D4 | — | 2 | 12 | no | — |
| 920 | C4×D4 | — | 2 | 12 | no | — |
| 921 | C4×D4 | — | 2 | 12 | no | — |
| 922 | C4×D4 | — | 4 | 6 | no | — |
| 923 | C4×D4 | — | 4 | 6 | no | — |
| 924 | C4×D4 | — | 4 | 12 | no | — |
| 925 | C4×D4 | — | 4 | 12 | no | — |
| 926 | C4×D4 | — | 4 | 12 | no | — |
| 927 | C4×D4 | — | 4 | 24 | no | — |
| 928 | C4×D4 | — | 4 | 12 | no | — |
| 929 | C4×D4 | — | 4 | 12 | no | — |
| 930 | C4×D4 | — | 4 | 24 | no | — |
| 931 | C4×D4 | — | 16 | 12 | no | — |
| 932 | #117 | — | 2 | 3 | no | — |
| 933 | #117 | — | 2 | 3 | no | — |
| 934 | #117 | — | 2 | 12 | no | — |
| 935 | #117 | — | 2 | 6 | no | — |
| 936 | #117 | — | 2 | 6 | no | — |
| 937 | #117 | — | 2 | 12 | no | — |
| 938 | #117 | — | 2 | 6 | no | — |
| 939 | #117 | — | 2 | 6 | no | — |
| 940 | #117 | — | 4 | 6 | no | — |
| 941 | #117 | — | 4 | 24 | no | — |
| 942 | #117 | — | 4 | 6 | no | — |
| 943 | #117 | — | 4 | 6 | no | — |
| 944 | #117 | C22×C42 | 1 | 6 | yes | — |
| 945 | #117 | C22×M16 | 1 | 6 | yes | — |
| 946 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 947 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 948 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 949 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 950 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 951 | C2×C4⋊C4 | — | 4 | 12 | no | — |
| 952 | C2×C4⋊C4 | — | 4 | 6 | no | — |
| 953 | C2×C4⋊C4 | — | 4 | 6 | no | — |
| 954 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 955 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 956 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 957 | C2×C22⋊C4 | — | 2 | 3 | no | — |
| 958 | C2×C22⋊C4 | — | 2 | 3 | no | — |
| 959 | C2×C22⋊C4 | — | 4 | 12 | no | — |
| 960 | C2×C22⋊C4 | — | 4 | 6 | no | — |
| 961 | C2×C22⋊C4 | — | 4 | 6 | no | — |
| 962 | C2×C22⋊C4 | — | 4 | 6 | no | — |
| 963 | C2×C22⋊C4 | C22×M16 | 1 | 6 | yes | — |
| 964 | C2×C42 | — | 2 | 3 | no | — |
| 965 | C2×C42 | — | 2 | 3 | no | — |
| 966 | C2×C42 | — | 2 | 12 | no | — |
| 967 | C2×C42 | — | 2 | 6 | no | — |
| 968 | C2×C42 | — | 2 | 6 | no | — |
| 969 | C2×C42 | — | 2 | 6 | no | — |
| 970 | C2×C42 | — | 2 | 3 | no | — |
| 971 | C2×C42 | — | 2 | 3 | no | — |
| 972 | C2×C42 | — | 2 | 3 | no | — |
| 973 | C2×C42 | — | 4 | 6 | no | — |
| 974 | C2×C42 | — | 4 | 12 | no | — |
| 975 | C2×C42 | — | 4 | 3 | no | — |
| 976 | C2×C42 | — | 4 | 1 | no | — |
| 977 | C2×C42 | — | 4 | 3 | no | — |
| 978 | C2×C42 | — | 4 | 3 | no | — |
| 979 | C2×C42 | — | 4 | 6 | no | — |
| 980 | C2×C42 | — | 8 | 3 | no | — |
| 981 | C2×C42 | — | 8 | 3 | no | — |
| 982 | C2×C42 | C2×C4×D4 | 1 | 6 | yes | — |
| 983 | C2×C42 | C2×C4×D4 | 1 | 3 | yes | — |
| 984 | C2×C42 | C2×C4×D4 | 1 | 3 | yes | — |
| 985 | M32 | — | 2 | 96 | no | — |
| 986 | M32 | — | 2 | 24 | no | — |
| 987 | M32 | — | 2 | 12 | no | — |
| 988 | M32 | — | 2 | 12 | no | — |
| 989 | M32 | — | 2 | 96 | no | — |
| 990 | M32 | — | 2 | 24 | no | — |
| 991 | M32 | — | 4 | 2 | no | — |
| 992 | M32 | — | 4 | 6 | no | — |
| 993 | M32 | — | 4 | 6 | no | — |
| 994 | M32 | — | 4 | 6 | no | — |
| 995 | M32 | — | 4 | 16 | no | — |
| 996 | M32 | C2×#120 | 1 | 8 | yes | — |
| 997 | M32 | #525 | 1 | 24 | yes | — |
| 998 | C2×C16 | — | 2 | 96 | no | — |
| 999 | C2×C16 | — | 2 | 24 | no | — |
| 1000 | C2×C16 | — | 2 | 96 | no | — |
| 1001 | C2×C16 | — | 2 | 12 | no | — |
| 1002 | C2×C16 | — | 2 | 12 | no | — |
| 1003 | C2×C16 | — | 4 | 12 | no | — |
| 1004 | C2×C16 | — | 4 | 16 | no | — |
| 1005 | C2×C16 | C2×C4×D4 | 1 | 24 | yes | — |
| 1006 | C2×C16 | C2×C4×D4 | 1 | 24 | yes | — |
| 1007 | C4⋊C8 | — | 2 | 24 | no | — |
| 1008 | C4⋊C8 | — | 4 | 12 | no | — |
| 1009 | #101 | — | 2 | 12 | no | — |
| 1010 | #101 | — | 4 | 6 | no | — |
| 1011 | #100 | — | 2 | 12 | no | — |
| 1012 | #100 | — | 4 | 6 | no | — |
| 1013 | #99 | — | 4 | 12 | no | — |
| 1014 | #99 | C2×#97 | 1 | 48 | yes | — |
| 1015 | C22⋊C8 | — | 2 | 24 | no | — |
| 1016 | C22⋊C8 | — | 2 | 12 | no | — |
| 1017 | C22⋊C8 | — | 2 | 12 | no | — |
| 1018 | C22⋊C8 | — | 4 | 6 | no | — |
| 1019 | C22⋊C8 | — | 4 | 6 | no | — |
| 1020 | C22⋊C8 | — | 4 | 12 | no | — |
| 1021 | #97 | — | 2 | 24 | no | — |
| 1022 | #97 | — | 2 | 12 | no | — |
| 1023 | #97 | — | 2 | 6 | no | — |
| 1024 | #97 | — | 2 | 6 | no | — |
| 1025 | #97 | — | 2 | 6 | no | — |
| 1026 | #97 | — | 2 | 6 | no | — |
| 1027 | #97 | — | 2 | 6 | no | — |
| 1028 | #97 | — | 2 | 6 | no | — |
| 1029 | #97 | — | 4 | 6 | no | — |
| 1030 | #97 | — | 4 | 1 | no | — |
| 1031 | #97 | — | 4 | 6 | no | — |
| 1032 | #97 | — | 4 | 3 | no | — |
| 1033 | #97 | — | 4 | 3 | no | — |
| 1034 | #97 | — | 4 | 1 | no | — |
| 1035 | #97 | — | 4 | 3 | no | — |
| 1036 | #97 | — | 4 | 1 | no | — |
| 1037 | #97 | — | 8 | 3 | no | — |
| 1038 | #97 | — | 8 | 3 | no | — |
| 1039 | #97 | C2×#120 | 1 | 1 | yes | characteristic |
| 1040 | #97 | C2×#120 | 1 | 3 | yes | — |
| 1041 | #97 | #525 | 1 | 3 | yes | — |
| 1042 | #97 | #525 | 1 | 3 | yes | — |
| 1043 | #97 | #525 | 1 | 6 | yes | — |
| 1044 | C4×C8 | — | 2 | 24 | no | — |
| 1045 | C4×C8 | — | 2 | 12 | no | — |
| 1046 | C4×C8 | — | 2 | 12 | no | — |
| 1047 | C4×C8 | — | 2 | 12 | no | — |
| 1048 | C4×C8 | — | 2 | 12 | no | — |
| 1049 | C4×C8 | — | 4 | 6 | no | — |
| 1050 | C4×C8 | — | 4 | 6 | no | — |
| 1051 | C4×C8 | — | 8 | 3 | no | — |
| 1052 | C4×C8 | — | 8 | 3 | no | — |
| 1053 | #95 | — | 4 | 6 | no | — |
| 1054 | #95 | — | 4 | 6 | no | — |
| 1055 | #95 | — | 4 | 6 | no | — |
| 1056 | #95 | — | 4 | 6 | no | — |
| 1057 | C24 | — | 2 | 4 | no | — |
| 1058 | C24 | — | 2 | 3 | no | — |
| 1059 | C24 | — | 2 | 3 | no | — |
| 1060 | C24 | — | 8 | 2 | no | — |
| 1061 | C24 | C22×#97 | 1 | 1 | yes | characteristic |
| 1062 | C24 | C22×#97 | 1 | 1 | yes | characteristic |
| 1063 | C24 | D4×M16 | 1 | 6 | yes | — |
| 1064 | C24 | C23×M16 | 1 | 1 | yes | characteristic |
| 1065 | #41 | — | 2 | 16 | no | — |
| 1066 | #41 | — | 2 | 16 | no | — |
| 1067 | #41 | — | 2 | 48 | no | — |
| 1068 | #41 | — | 2 | 48 | no | — |
| 1069 | #41 | — | 2 | 48 | no | — |
| 1070 | #41 | — | 2 | 48 | no | — |
| 1071 | #41 | — | 2 | 12 | no | — |
| 1072 | #41 | — | 2 | 12 | no | — |
| 1073 | #41 | — | 2 | 12 | no | — |
| 1074 | #41 | — | 2 | 12 | no | — |
| 1075 | #41 | — | 2 | 12 | no | — |
| 1076 | #41 | — | 2 | 12 | no | — |
| 1077 | #41 | — | 2 | 12 | no | — |
| 1078 | #41 | — | 2 | 12 | no | — |
| 1079 | C2×Q8 | — | 2 | 4 | no | — |
| 1080 | C2×Q8 | — | 2 | 24 | no | — |
| 1081 | C2×Q8 | — | 2 | 24 | no | — |
| 1082 | C2×Q8 | — | 2 | 6 | no | — |
| 1083 | C2×Q8 | — | 2 | 6 | no | — |
| 1084 | C2×Q8 | #2875 | 1 | 6 | yes | — |
| 1085 | C2×Q8 | #2970 | 1 | 6 | yes | — |
| 1086 | C2×D4 | — | 2 | 12 | no | — |
| 1087 | C2×D4 | — | 2 | 48 | no | — |
| 1088 | C2×D4 | — | 2 | 24 | no | — |
| 1089 | C2×D4 | — | 2 | 24 | no | — |
| 1090 | C2×D4 | — | 2 | 48 | no | — |
| 1091 | C2×D4 | — | 2 | 12 | no | — |
| 1092 | C2×D4 | — | 2 | 12 | no | — |
| 1093 | C2×D4 | — | 2 | 12 | no | — |
| 1094 | C2×D4 | — | 2 | 12 | no | — |
| 1095 | C2×D4 | — | 2 | 6 | no | — |
| 1096 | C2×D4 | — | 2 | 6 | no | — |
| 1097 | C2×D4 | — | 8 | 12 | no | — |
| 1098 | C2×D4 | C22×#97 | 1 | 12 | yes | — |
| 1099 | C2×D4 | #2875 | 1 | 6 | yes | — |
| 1100 | C2×D4 | #2970 | 1 | 12 | yes | — |
| 1101 | C2×D4 | #2970 | 1 | 6 | yes | — |
| 1102 | C22×C4 | — | 2 | 12 | no | — |
| 1103 | C22×C4 | — | 2 | 16 | no | — |
| 1104 | C22×C4 | — | 2 | 16 | no | — |
| 1105 | C22×C4 | — | 2 | 6 | no | — |
| 1106 | C22×C4 | — | 2 | 6 | no | — |
| 1107 | C22×C4 | — | 2 | 6 | no | — |
| 1108 | C22×C4 | — | 2 | 6 | no | — |
| 1109 | C22×C4 | — | 2 | 3 | no | — |
| 1110 | C22×C4 | — | 2 | 3 | no | — |
| 1111 | C22×C4 | — | 2 | 3 | no | — |
| 1112 | C22×C4 | — | 2 | 6 | no | — |
| 1113 | C22×C4 | — | 2 | 3 | no | — |
| 1114 | C22×C4 | — | 2 | 3 | no | — |
| 1115 | C22×C4 | — | 2 | 3 | no | — |
| 1116 | C22×C4 | — | 2 | 3 | no | — |
| 1117 | C22×C4 | — | 2 | 3 | no | — |
| 1118 | C22×C4 | — | 2 | 3 | no | — |
| 1119 | C22×C4 | — | 2 | 3 | no | — |
| 1120 | C22×C4 | — | 2 | 3 | no | — |
| 1121 | C22×C4 | — | 2 | 3 | no | — |
| 1122 | C22×C4 | — | 2 | 6 | no | — |
| 1123 | C22×C4 | — | 4 | 6 | no | — |
| 1124 | C22×C4 | — | 4 | 6 | no | — |
| 1125 | C22×C4 | — | 4 | 6 | no | — |
| 1126 | C22×C4 | — | 4 | 1 | no | — |
| 1127 | C22×C4 | — | 4 | 3 | no | — |
| 1128 | C22×C4 | — | 4 | 3 | no | — |
| 1129 | C22×C4 | — | 4 | 3 | no | — |
| 1130 | C22×C4 | — | 4 | 12 | no | — |
| 1131 | C22×C4 | — | 4 | 3 | no | — |
| 1132 | C22×C4 | — | 4 | 3 | no | — |
| 1133 | C22×C4 | — | 8 | 1 | no | — |
| 1134 | C22×C4 | — | 8 | 3 | no | — |
| 1135 | C22×C4 | — | 8 | 6 | no | — |
| 1136 | C22×C4 | — | 8 | 6 | no | — |
| 1137 | C22×C4 | — | 16 | 1 | no | — |
| 1138 | C22×C4 | — | 16 | 1 | no | — |
| 1139 | C22×C4 | — | 16 | 3 | no | — |
| 1140 | C22×C4 | — | 16 | 3 | no | — |
| 1141 | C22×C4 | — | 16 | 6 | no | — |
| 1142 | C22×C4 | — | 32 | 4 | no | — |
| 1143 | C22×C4 | C42×D4 | 1 | 12 | yes | — |
| 1144 | C22×C4 | C22×#97 | 1 | 1 | yes | characteristic |
| 1145 | C22×C4 | C22×#97 | 1 | 1 | yes | characteristic |
| 1146 | C22×C4 | D4×M16 | 1 | 6 | yes | — |
| 1147 | C22×C4 | D4×M16 | 1 | 12 | yes | — |
| 1148 | C22×C4 | C23×C42 | 1 | 1 | yes | characteristic |
| 1149 | C22×C4 | C22×C4×D4 | 1 | 3 | yes | — |
| 1150 | C22×C4 | C2×C4×#41 | 1 | 3 | yes | — |
| 1151 | C22×C4 | C23×M16 | 1 | 1 | yes | characteristic |
| 1152 | C22×C4 | C2×#568 | 1 | 3 | yes | — |
| 1153 | C22×C4 | C2×#568 | 1 | 3 | yes | — |
| 1154 | M16 | — | 2 | 48 | no | — |
| 1155 | M16 | — | 2 | 12 | no | — |
| 1156 | M16 | — | 2 | 12 | no | — |
| 1157 | M16 | — | 2 | 48 | no | — |
| 1158 | M16 | — | 2 | 12 | no | — |
| 1159 | M16 | — | 4 | 24 | no | — |
| 1160 | M16 | — | 4 | 24 | no | — |
| 1161 | M16 | — | 4 | 6 | no | — |
| 1162 | M16 | — | 4 | 6 | no | — |
| 1163 | M16 | — | 4 | 6 | no | — |
| 1164 | M16 | — | 4 | 6 | no | — |
| 1165 | M16 | — | 4 | 6 | no | — |
| 1166 | C2×C8 | — | 2 | 48 | no | — |
| 1167 | C2×C8 | — | 2 | 3 | no | — |
| 1168 | C2×C8 | — | 2 | 3 | no | — |
| 1169 | C2×C8 | — | 2 | 6 | no | — |
| 1170 | C2×C8 | — | 2 | 3 | no | — |
| 1171 | C2×C8 | — | 2 | 3 | no | — |
| 1172 | C2×C8 | — | 2 | 6 | no | — |
| 1173 | C2×C8 | — | 2 | 24 | no | — |
| 1174 | C2×C8 | — | 2 | 24 | no | — |
| 1175 | C2×C8 | — | 2 | 6 | no | — |
| 1176 | C2×C8 | — | 2 | 6 | no | — |
| 1177 | C2×C8 | — | 2 | 6 | no | — |
| 1178 | C2×C8 | — | 2 | 6 | no | — |
| 1179 | C2×C8 | — | 2 | 6 | no | — |
| 1180 | C2×C8 | — | 4 | 12 | no | — |
| 1181 | C2×C8 | — | 4 | 12 | no | — |
| 1182 | C2×C8 | — | 4 | 24 | no | — |
| 1183 | C2×C8 | — | 4 | 1 | no | — |
| 1184 | C2×C8 | — | 4 | 3 | no | — |
| 1185 | C2×C8 | — | 4 | 3 | no | — |
| 1186 | C2×C8 | — | 4 | 3 | no | — |
| 1187 | C2×C8 | — | 4 | 2 | no | — |
| 1188 | C2×C8 | — | 4 | 2 | no | — |
| 1189 | C2×C8 | — | 4 | 6 | no | — |
| 1190 | C2×C8 | — | 4 | 6 | no | — |
| 1191 | C2×C8 | — | 4 | 3 | no | — |
| 1192 | C2×C8 | — | 4 | 3 | no | — |
| 1193 | C2×C8 | — | 4 | 1 | no | — |
| 1194 | C2×C8 | — | 4 | 3 | no | — |
| 1195 | C2×C8 | — | 4 | 3 | no | — |
| 1196 | C2×C8 | — | 4 | 3 | no | — |
| 1197 | C2×C8 | — | 8 | 1 | no | — |
| 1198 | C2×C8 | — | 8 | 1 | no | — |
| 1199 | C2×C8 | — | 8 | 3 | no | — |
| 1200 | C2×C8 | — | 8 | 3 | no | — |
| 1201 | C2×C8 | C42×D4 | 1 | 12 | yes | — |
| 1202 | C2×C8 | C4×#120 | 1 | 3 | yes | — |
| 1203 | C2×C8 | C4×#120 | 1 | 1 | yes | characteristic |
| 1204 | C2×C8 | C22×C4×D4 | 1 | 6 | yes | — |
| 1205 | C2×C8 | C2×C4×#41 | 1 | 6 | yes | — |
| 1206 | C2×C8 | C22×#120 | 1 | 1 | yes | characteristic |
| 1207 | C2×C8 | C2×#525 | 1 | 6 | yes | — |
| 1208 | C2×C8 | C2×#525 | 1 | 3 | yes | — |
| 1209 | C2×C8 | #3444 | 1 | 6 | yes | — |
| 1210 | C4⋊C4 | — | 2 | 12 | no | — |
| 1211 | C4⋊C4 | — | 2 | 12 | no | — |
| 1212 | C4⋊C4 | — | 2 | 6 | no | — |
| 1213 | C4⋊C4 | — | 2 | 6 | no | — |
| 1214 | C4⋊C4 | — | 4 | 12 | no | — |
| 1215 | C4⋊C4 | — | 4 | 12 | no | — |
| 1216 | C4⋊C4 | — | 4 | 6 | no | — |
| 1217 | C4⋊C4 | — | 4 | 6 | no | — |
| 1218 | C4⋊C4 | — | 16 | 6 | no | — |
| 1219 | C22⋊C4 | — | 2 | 12 | no | — |
| 1220 | C22⋊C4 | — | 2 | 12 | no | — |
| 1221 | C22⋊C4 | — | 2 | 6 | no | — |
| 1222 | C22⋊C4 | — | 2 | 12 | no | — |
| 1223 | C22⋊C4 | — | 2 | 12 | no | — |
| 1224 | C22⋊C4 | — | 4 | 12 | no | — |
| 1225 | C22⋊C4 | — | 4 | 12 | no | — |
| 1226 | C22⋊C4 | — | 4 | 6 | no | — |
| 1227 | C22⋊C4 | — | 4 | 6 | no | — |
| 1228 | C22⋊C4 | — | 8 | 12 | no | — |
| 1229 | C22⋊C4 | — | 16 | 6 | no | — |
| 1230 | C22⋊C4 | C22×#97 | 1 | 12 | yes | — |
| 1231 | C42 | — | 2 | 6 | no | — |
| 1232 | C42 | — | 2 | 6 | no | — |
| 1233 | C42 | — | 2 | 3 | no | — |
| 1234 | C42 | — | 2 | 3 | no | — |
| 1235 | C42 | — | 2 | 6 | no | — |
| 1236 | C42 | — | 2 | 6 | no | — |
| 1237 | C42 | — | 4 | 6 | no | — |
| 1238 | C42 | — | 4 | 6 | no | — |
| 1239 | C42 | — | 4 | 12 | no | — |
| 1240 | C42 | — | 4 | 1 | no | — |
| 1241 | C42 | — | 4 | 3 | no | — |
| 1242 | C42 | — | 4 | 3 | no | — |
| 1243 | C42 | — | 4 | 3 | no | — |
| 1244 | C42 | — | 8 | 1 | no | — |
| 1245 | C42 | — | 8 | 3 | no | — |
| 1246 | C42 | — | 16 | 6 | no | — |
| 1247 | C42 | C4×#120 | 1 | 3 | yes | — |
| 1248 | C42 | C4×#120 | 1 | 1 | yes | characteristic |
| 1249 | C16 | — | 2 | 24 | no | — |
| 1250 | C16 | — | 4 | 4 | no | — |
| 1251 | C16 | — | 4 | 12 | no | — |
| 1252 | C16 | C4×#120 | 1 | 16 | yes | — |
| 1253 | C23 | — | 2 | 16 | no | — |
| 1254 | C23 | — | 2 | 3 | no | — |
| 1255 | C23 | — | 2 | 6 | no | — |
| 1256 | C23 | — | 2 | 6 | no | — |
| 1257 | C23 | — | 2 | 3 | no | — |
| 1258 | C23 | — | 4 | 2 | no | — |
| 1259 | C23 | — | 4 | 6 | no | — |
| 1260 | C23 | — | 4 | 6 | no | — |
| 1261 | C23 | — | 4 | 1 | no | — |
| 1262 | C23 | — | 4 | 3 | no | — |
| 1263 | C23 | — | 8 | 1 | no | — |
| 1264 | C23 | — | 8 | 1 | no | — |
| 1265 | C23 | — | 8 | 6 | no | — |
| 1266 | C23 | — | 8 | 3 | no | — |
| 1267 | C23 | — | 8 | 3 | no | — |
| 1268 | C23 | — | 16 | 4 | no | — |
| 1269 | C23 | D4×#97 | 1 | 12 | yes | — |
| 1270 | C23 | C23×#97 | 1 | 1 | yes | characteristic |
| 1271 | C23 | C2×D4×M16 | 1 | 3 | yes | — |
| 1272 | C23 | C2×#2970 | 1 | 3 | yes | — |
| 1273 | Q8 | — | 2 | 16 | no | — |
| 1274 | Q8 | — | 2 | 12 | no | — |
| 1275 | Q8 | — | 2 | 12 | no | — |
| 1276 | D4 | — | 2 | 48 | no | — |
| 1277 | D4 | — | 2 | 24 | no | — |
| 1278 | D4 | — | 2 | 24 | no | — |
| 1279 | D4 | — | 2 | 12 | no | — |
| 1280 | D4 | — | 2 | 12 | no | — |
| 1281 | D4 | — | 4 | 24 | no | — |
| 1282 | D4 | — | 8 | 12 | no | — |
| 1283 | C2×C4 | — | 2 | 48 | no | — |
| 1284 | C2×C4 | — | 2 | 6 | no | — |
| 1285 | C2×C4 | — | 2 | 6 | no | — |
| 1286 | C2×C4 | — | 2 | 12 | no | — |
| 1287 | C2×C4 | — | 2 | 12 | no | — |
| 1288 | C2×C4 | — | 2 | 12 | no | — |
| 1289 | C2×C4 | — | 2 | 12 | no | — |
| 1290 | C2×C4 | — | 2 | 1 | no | — |
| 1291 | C2×C4 | — | 2 | 3 | no | — |
| 1292 | C2×C4 | — | 2 | 12 | no | — |
| 1293 | C2×C4 | — | 2 | 3 | no | — |
| 1294 | C2×C4 | — | 2 | 3 | no | — |
| 1295 | C2×C4 | — | 4 | 1 | no | — |
| 1296 | C2×C4 | — | 4 | 3 | no | — |
| 1297 | C2×C4 | — | 4 | 1 | no | — |
| 1298 | C2×C4 | — | 4 | 1 | no | — |
| 1299 | C2×C4 | — | 4 | 1 | no | — |
| 1300 | C2×C4 | — | 4 | 1 | no | — |
| 1301 | C2×C4 | — | 4 | 3 | no | — |
| 1302 | C2×C4 | — | 4 | 3 | no | — |
| 1303 | C2×C4 | — | 4 | 3 | no | — |
| 1304 | C2×C4 | — | 4 | 3 | no | — |
| 1305 | C2×C4 | — | 4 | 6 | no | — |
| 1306 | C2×C4 | — | 8 | 3 | no | — |
| 1307 | C2×C4 | — | 8 | 6 | no | — |
| 1308 | C2×C4 | — | 8 | 3 | no | — |
| 1309 | C2×C4 | — | 8 | 6 | no | — |
| 1310 | C2×C4 | — | 8 | 6 | no | — |
| 1311 | C2×C4 | — | 8 | 3 | no | — |
| 1312 | C2×C4 | — | 8 | 3 | no | — |
| 1313 | C2×C4 | — | 8 | 1 | no | — |
| 1314 | C2×C4 | — | 8 | 3 | no | — |
| 1315 | C2×C4 | — | 16 | 6 | no | — |
| 1316 | C2×C4 | — | 16 | 6 | no | — |
| 1317 | C2×C4 | — | 16 | 6 | no | — |
| 1318 | C2×C4 | — | 16 | 2 | no | — |
| 1319 | C2×C4 | — | 16 | 12 | no | — |
| 1320 | C2×C4 | D4×#97 | 1 | 12 | yes | — |
| 1321 | C2×C4 | C2×C42×D4 | 1 | 3 | yes | — |
| 1322 | C2×C4 | C2×C4×#120 | 1 | 1 | yes | characteristic |
| 1323 | C2×C4 | C4×#525 | 1 | 3 | yes | — |
| 1324 | C2×C4 | C2×#2875 | 1 | 3 | yes | — |
| 1325 | C2×C4 | C2×D4×M16 | 1 | 3 | yes | — |
| 1326 | C2×C4 | #60141 | 1 | 3 | yes | — |
| 1327 | C2×C4 | #60141 | 1 | 3 | yes | — |
| 1328 | C2×C4 | C2×#2970 | 1 | 3 | yes | — |
| 1329 | C2×C4 | #60207 | 1 | 6 | yes | — |
| 1330 | C8 | — | 2 | 12 | no | — |
| 1331 | C8 | — | 2 | 1 | no | — |
| 1332 | C8 | — | 2 | 3 | no | — |
| 1333 | C8 | — | 4 | 2 | no | — |
| 1334 | C8 | — | 4 | 6 | no | — |
| 1335 | C8 | — | 4 | 6 | no | — |
| 1336 | C8 | — | 8 | 1 | no | — |
| 1337 | C8 | — | 8 | 3 | no | — |
| 1338 | C8 | C2×C4×#120 | 1 | 2 | yes | — |
| 1339 | C8 | C4×#525 | 1 | 6 | yes | — |
| 1340 | C22 | — | 2 | 6 | no | — |
| 1341 | C22 | — | 2 | 12 | no | — |
| 1342 | C22 | — | 4 | 3 | no | — |
| 1343 | C22 | — | 4 | 3 | no | — |
| 1344 | C22 | — | 4 | 1 | no | — |
| 1345 | C22 | — | 4 | 12 | no | — |
| 1346 | C22 | — | 4 | 3 | no | — |
| 1347 | C22 | — | 4 | 3 | no | — |
| 1348 | C22 | — | 4 | 3 | no | — |
| 1349 | C22 | — | 4 | 1 | no | — |
| 1350 | C22 | — | 4 | 1 | no | — |
| 1351 | C22 | — | 8 | 6 | no | — |
| 1352 | C22 | — | 8 | 6 | no | — |
| 1353 | C22 | — | 8 | 2 | no | — |
| 1354 | C22 | — | 8 | 6 | no | — |
| 1355 | C22 | — | 8 | 16 | no | — |
| 1356 | C22 | C2×D4×#97 | 1 | 3 | yes | — |
| 1357 | C22 | M16×#120 | 1 | 1 | yes | characteristic |
| 1358 | C22 | #6373373 | 1 | 3 | yes | — |
| 1359 | C4 | — | 2 | 12 | no | — |
| 1360 | C4 | — | 4 | 3 | no | — |
| 1361 | C4 | — | 4 | 1 | no | — |
| 1362 | C4 | — | 4 | 12 | no | — |
| 1363 | C4 | — | 4 | 1 | no | — |
| 1364 | C4 | — | 4 | 1 | no | — |
| 1365 | C4 | — | 8 | 6 | no | — |
| 1366 | C4 | — | 16 | 3 | no | — |
| 1367 | C4 | — | 16 | 1 | no | — |
| 1368 | C4 | C42×#120 | 1 | 1 | yes | characteristic |
| 1369 | C4 | #6370031 | 1 | 3 | yes | — |
| 1370 | C4 | M16×#120 | 1 | 1 | yes | characteristic |
| 1371 | C4 | #6373373 | 1 | 3 | yes | — |
| 1372 | C2 | — | 2 | 1 | no | — |
| 1373 | C2 | — | 2 | 3 | no | — |
| 1374 | C2 | — | 2 | 3 | no | — |
| 1375 | C2 | — | 4 | 2 | no | — |
| 1376 | C2 | — | 4 | 12 | no | — |
| 1377 | C2 | — | 8 | 1 | no | — |
| 1378 | C2 | #97×#120 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C4 | C42×#120 |
| commutator | C22×C4 | C23×C42 |
| Frattini, cosocle | C23×C8 | C25 |
| socle | C2 | #97×#120 |
| prime radical | C2×#3025 | C2×C4 |
| LCS | G ▷ C22×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C4 ◁ C22×#347 ◁ G | |
| LECS | G ▷ C23×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72343935 | C2 | semidirect |
| 3. #72320097 | C2 | semidirect |
| 4. #72320016 | C2 | semidirect |
| 5. #72319842 | C2 | semidirect |
| 6. #72319756 | C2 | semidirect |
| 7. #72319553 | C2 | semidirect |
| 8. #72281609 | C2 | semidirect |
| 10. #72239417 | C2 | semidirect |
| 11. #72239249 | C2 | semidirect |
| 20. C23×#347 | C22 | semidirect |
| 25. #495678 | C4 | semidirect |
| 26. #495677 | C4 | semidirect |
| 32. #493129 | C22 | semidirect |
| 33. #493105 | C22 | semidirect |
| 35. #492980 | C22 | semidirect |
| 40. C2×#12605 | C22 | semidirect |
| 41. #492832 | C22 | semidirect |
| 52. #147380 | C22 | semidirect |
| 53. #147157 | C22 | semidirect |
| 54. #147129 | C22 | semidirect |
| 58. #146325 | C22 | semidirect |
| 59. #146310 | C22 | semidirect |
| 64. #62624 | C2×C4 | semidirect |
| 84. #33433 | C2×C4 | semidirect |
| 85. #33432 | C2×C4 | semidirect |
| 100. C2×#2110 | D4 | semidirect |
| 108. C22×#347 | D4 | semidirect |
| 150. #12981 | C2×C4 | semidirect |
| 151. #12981 | C2×C4 | semidirect |
| 152. #12915 | C2×C4 | semidirect |
| 153. #12684 | C2×C4 | semidirect |
| 160. #12613 | C2×C4 | semidirect |
| 229. C22×M32 | C22×C4 | semidirect |
| 235. C23×C16 | C22×C4 | semidirect |
| 324. #2151 | C22×C4 | semidirect |
| 333. #2112 | C22×C4 | semidirect |
| 334. #2112 | C22×C4 | semidirect |
| 366. #2108 | C22×C4 | semidirect |
| 422. #1378 | C22×C4 | semidirect |
| 567. C2×M32 | C4×D4 | semidirect |
| 577. C22×C16 | C4×D4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72343935 | 2 |
| #72342023 | 2 |
| #72320097 | 2 |
| #72320016 | 2 |
| #72319842 | 2 |
| #72319756 | 2 |
| #72319553 | 2 |
| #72281609 | 2 |
| #72281292 | 2 |
| #72239417 | 2 |
| #72239249 | 2 |