Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
10070 conjugacy classes of subgroups.
The subgroup lattice has 955 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #6062294 | C2 | 1 | 7 | yes | maximal, complemented |
| 2 | #5901751 | C2 | 1 | 7 | yes | maximal, complemented |
| 3 | #5793862 | C2 | 1 | 7 | yes | maximal, complemented |
| 4 | #5729214 | C2 | 1 | 7 | yes | maximal, complemented |
| 5 | #4280146 | C2 | 1 | 7 | yes | maximal, complemented |
| 6 | #4226766 | C2 | 1 | 7 | yes | maximal, complemented |
| 7 | #4211053 | C2 | 1 | 7 | yes | maximal, complemented |
| 8 | #2063725 | C2 | 1 | 7 | yes | maximal, complemented |
| 9 | #2039953 | C2 | 1 | 7 | yes | maximal |
| 10 | #17296 | C22 | 1 | 7 | yes | complemented |
| 11 | #17241 | C22 | 1 | 7 | yes | complemented |
| 12 | #17207 | C22 | 1 | 7 | yes | complemented |
| 13 | #17195 | C22 | 1 | 7 | yes | complemented |
| 14 | #17167 | C22 | 1 | 7 | yes | complemented |
| 15 | #17130 | C22 | 1 | 7 | yes | complemented |
| 16 | #17130 | C22 | 1 | 7 | yes | complemented |
| 17 | #16956 | C22 | 1 | 7 | yes | complemented |
| 18 | #16929 | C22 | 1 | 7 | yes | complemented |
| 19 | #16917 | C22 | 1 | 7 | yes | complemented |
| 20 | #16847 | C22 | 1 | 7 | yes | complemented |
| 21 | #16793 | C22 | 1 | 7 | yes | complemented |
| 22 | #16780 | C22 | 1 | 7 | yes | complemented |
| 23 | #16773 | C22 | 1 | 7 | yes | complemented |
| 24 | #16722 | C22 | 1 | 7 | yes | complemented |
| 25 | #16638 | C22 | 1 | 7 | yes | complemented |
| 26 | #16616 | C22 | 1 | 7 | yes | complemented |
| 27 | #16595 | C22 | 1 | 7 | yes | complemented |
| 28 | #16498 | C22 | 1 | 7 | yes | complemented |
| 29 | #16494 | C22 | 1 | 7 | yes | complemented |
| 30 | #16488 | C22 | 1 | 7 | yes | complemented |
| 31 | #16477 | C22 | 1 | 7 | yes | complemented |
| 32 | #16459 | C22 | 1 | 7 | yes | complemented |
| 33 | #16434 | C22 | 1 | 7 | yes | complemented |
| 34 | #16428 | C22 | 1 | 7 | yes | complemented |
| 35 | #16391 | C22 | 1 | 7 | yes | — |
| 36 | #16391 | C22 | 1 | 7 | yes | — |
| 37 | #16391 | C22 | 1 | 7 | yes | — |
| 38 | #16335 | C22 | 1 | 7 | yes | complemented |
| 39 | #16330 | C22 | 1 | 7 | yes | complemented |
| 40 | #16315 | C22 | 1 | 7 | yes | complemented |
| 41 | #16298 | C22 | 1 | 7 | yes | — |
| 42 | #16298 | C22 | 1 | 7 | yes | — |
| 43 | #16298 | C22 | 1 | 7 | yes | — |
| 44 | #16219 | C22 | 1 | 7 | yes | complemented |
| 45 | #16152 | C22 | 1 | 7 | yes | complemented |
| 46 | #16131 | C22 | 1 | 7 | yes | complemented |
| 47 | #16129 | C22 | 1 | 7 | yes | complemented |
| 48 | #16129 | C22 | 1 | 7 | yes | complemented |
| 49 | #16077 | C22 | 1 | 7 | yes | complemented |
| 50 | #16077 | C22 | 1 | 7 | yes | complemented |
| 51 | #15837 | C22 | 1 | 7 | yes | complemented |
| 52 | #15835 | C22 | 1 | 7 | yes | complemented |
| 53 | #15781 | C22 | 1 | 7 | yes | complemented |
| 54 | #15751 | C22 | 1 | 7 | yes | complemented |
| 55 | #15749 | C22 | 1 | 7 | yes | complemented |
| 56 | #15742 | C22 | 1 | 7 | yes | complemented |
| 57 | #15718 | C22 | 1 | 7 | yes | complemented |
| 58 | #15665 | C22 | 1 | 7 | yes | complemented |
| 59 | #15656 | C22 | 1 | 7 | yes | complemented |
| 60 | #15597 | C22 | 1 | 7 | yes | complemented |
| 61 | #15570 | C22 | 1 | 7 | yes | complemented |
| 62 | #15553 | C22 | 1 | 7 | yes | complemented |
| 63 | #15480 | C22 | 1 | 7 | yes | — |
| 64 | #15402 | C22 | 1 | 7 | yes | complemented |
| 65 | #15353 | C22 | 1 | 7 | yes | complemented |
| 66 | #15297 | C22 | 1 | 7 | yes | — |
| 67 | #15297 | C22 | 1 | 7 | yes | — |
| 68 | #15297 | C22 | 1 | 7 | yes | — |
| 69 | #15297 | C22 | 1 | 7 | yes | — |
| 70 | #15297 | C22 | 1 | 7 | yes | — |
| 71 | #15297 | C22 | 1 | 7 | yes | — |
| 72 | #15284 | C22 | 1 | 7 | yes | — |
| 73 | #15284 | C22 | 1 | 7 | yes | — |
| 74 | #15284 | C22 | 1 | 7 | yes | — |
| 75 | #15282 | C22 | 1 | 7 | yes | — |
| 76 | #15282 | C22 | 1 | 7 | yes | — |
| 77 | #15282 | C22 | 1 | 7 | yes | — |
| 78 | #15282 | C22 | 1 | 7 | yes | — |
| 79 | #15282 | C22 | 1 | 7 | yes | — |
| 80 | #15282 | C22 | 1 | 7 | yes | — |
| 81 | #15252 | C22 | 1 | 7 | yes | complemented |
| 82 | #15093 | C22 | 1 | 7 | yes | complemented |
| 83 | #15078 | C22 | 1 | 7 | yes | complemented |
| 84 | #14870 | C22 | 1 | 7 | yes | complemented |
| 85 | #14859 | C22 | 1 | 7 | yes | complemented |
| 86 | #14854 | C22 | 1 | 7 | yes | complemented |
| 87 | #14784 | C22 | 1 | 7 | yes | complemented |
| 88 | #14701 | C22 | 1 | 7 | yes | complemented |
| 89 | #14679 | C22 | 1 | 7 | yes | — |
| 90 | #14615 | C22 | 1 | 7 | yes | complemented |
| 91 | #14579 | C22 | 1 | 7 | yes | complemented |
| 92 | #14578 | C22 | 1 | 7 | yes | complemented |
| 93 | #14512 | C22 | 1 | 7 | yes | complemented |
| 94 | #14496 | C22 | 1 | 7 | yes | complemented |
| 95 | #14447 | C22 | 1 | 7 | yes | complemented |
| 96 | #14437 | C22 | 1 | 7 | yes | complemented |
| 97 | #14366 | C22 | 1 | 7 | yes | — |
| 98 | #14366 | C22 | 1 | 7 | yes | — |
| 99 | #14366 | C22 | 1 | 7 | yes | — |
| 100 | #14365 | C22 | 1 | 7 | yes | — |
| 101 | #14365 | C22 | 1 | 7 | yes | — |
| 102 | #14365 | C22 | 1 | 7 | yes | — |
| 103 | C27 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×#400 | C23 | 1 | 7 | yes | complemented |
| 105 | C2×#400 | C23 | 1 | 7 | yes | complemented |
| 106 | C2×#399 | C23 | 1 | 7 | yes | — |
| 107 | C2×#399 | C23 | 1 | 7 | yes | — |
| 108 | C2×#398 | C23 | 1 | 7 | yes | complemented |
| 109 | C2×#398 | C23 | 1 | 7 | yes | complemented |
| 110 | C2×#398 | C23 | 1 | 7 | yes | complemented |
| 111 | C2×#397 | C23 | 1 | 7 | yes | — |
| 112 | C2×#397 | C23 | 1 | 7 | yes | — |
| 113 | C2×#397 | C23 | 1 | 7 | yes | — |
| 114 | C2×#397 | C23 | 1 | 7 | yes | — |
| 115 | C2×#397 | C23 | 1 | 7 | yes | — |
| 116 | C2×#397 | C23 | 1 | 7 | yes | — |
| 117 | C2×#396 | C23 | 1 | 7 | yes | — |
| 118 | C2×#396 | C23 | 1 | 7 | yes | — |
| 119 | C2×#396 | C23 | 1 | 7 | yes | — |
| 120 | C2×#396 | C23 | 1 | 7 | yes | — |
| 121 | C2×#389 | C23 | 1 | 7 | yes | complemented |
| 122 | C2×#388 | C23 | 1 | 7 | yes | — |
| 123 | C2×#388 | C23 | 1 | 7 | yes | — |
| 124 | C2×#388 | C23 | 1 | 7 | yes | — |
| 125 | C2×#388 | C23 | 1 | 7 | yes | — |
| 126 | C2×#388 | C23 | 1 | 7 | yes | — |
| 127 | C2×#388 | C23 | 1 | 7 | yes | — |
| 128 | C2×#388 | C23 | 1 | 7 | yes | — |
| 129 | C2×#388 | C23 | 1 | 7 | yes | — |
| 130 | C2×#388 | C23 | 1 | 7 | yes | — |
| 131 | C2×#388 | C23 | 1 | 7 | yes | — |
| 132 | C2×#388 | C23 | 1 | 7 | yes | — |
| 133 | C2×#388 | C23 | 1 | 7 | yes | — |
| 134 | C2×#387 | C23 | 1 | 7 | yes | complemented |
| 135 | C2×#387 | C23 | 1 | 7 | yes | complemented |
| 136 | C2×#379 | C23 | 1 | 7 | yes | — |
| 137 | C2×#379 | C23 | 1 | 7 | yes | — |
| 138 | C2×#379 | C23 | 1 | 7 | yes | — |
| 139 | C2×#379 | C23 | 1 | 7 | yes | — |
| 140 | C2×#379 | C23 | 1 | 7 | yes | — |
| 141 | C2×#379 | C23 | 1 | 7 | yes | — |
| 142 | C2×#379 | C23 | 1 | 7 | yes | — |
| 143 | C2×#379 | C23 | 1 | 7 | yes | — |
| 144 | C2×#379 | C23 | 1 | 7 | yes | — |
| 145 | C2×#379 | C23 | 1 | 7 | yes | — |
| 146 | C2×#379 | C23 | 1 | 7 | yes | — |
| 147 | C2×#379 | C23 | 1 | 7 | yes | — |
| 148 | C2×#379 | C23 | 1 | 7 | yes | — |
| 149 | C2×#379 | C23 | 1 | 7 | yes | — |
| 150 | C2×C4×C4⋊C4 | C23 | 1 | 7 | yes | complemented |
| 151 | C2×C43 | C23 | 1 | 1 | yes | characteristic, complemented |
| 152 | #1445 | C23 | 1 | 7 | yes | complemented |
| 153 | #1445 | C23 | 1 | 7 | yes | complemented |
| 154 | #1445 | C23 | 1 | 7 | yes | complemented |
| 155 | #1445 | C23 | 1 | 7 | yes | complemented |
| 156 | #1445 | C23 | 1 | 7 | yes | complemented |
| 157 | #1444 | C23 | 1 | 7 | yes | complemented |
| 158 | #1444 | C23 | 1 | 7 | yes | complemented |
| 159 | #1444 | C23 | 1 | 7 | yes | complemented |
| 160 | #1444 | C23 | 1 | 7 | yes | complemented |
| 161 | #1443 | C23 | 1 | 7 | yes | complemented |
| 162 | #1443 | C23 | 1 | 7 | yes | complemented |
| 163 | #1443 | C23 | 1 | 7 | yes | complemented |
| 164 | #1443 | C23 | 1 | 7 | yes | complemented |
| 165 | #1443 | C23 | 1 | 7 | yes | complemented |
| 166 | #1443 | C23 | 1 | 7 | yes | complemented |
| 167 | #1443 | C23 | 1 | 7 | yes | complemented |
| 168 | #1443 | C23 | 1 | 7 | yes | complemented |
| 169 | #1442 | C23 | 1 | 7 | yes | complemented |
| 170 | #1442 | C23 | 1 | 7 | yes | complemented |
| 171 | #1442 | C23 | 1 | 7 | yes | complemented |
| 172 | #1442 | C23 | 1 | 7 | yes | complemented |
| 173 | #1442 | C23 | 1 | 7 | yes | complemented |
| 174 | #1442 | C23 | 1 | 7 | yes | complemented |
| 175 | #1442 | C23 | 1 | 7 | yes | complemented |
| 176 | #1442 | C23 | 1 | 7 | yes | complemented |
| 177 | #1442 | C23 | 1 | 7 | yes | complemented |
| 178 | #1442 | C23 | 1 | 7 | yes | complemented |
| 179 | #1442 | C23 | 1 | 7 | yes | complemented |
| 180 | #1441 | C23 | 1 | 7 | yes | complemented |
| 181 | #1441 | C23 | 1 | 7 | yes | complemented |
| 182 | #1441 | C23 | 1 | 7 | yes | complemented |
| 183 | #1441 | C23 | 1 | 7 | yes | complemented |
| 184 | #1441 | C23 | 1 | 7 | yes | complemented |
| 185 | #1441 | C23 | 1 | 7 | yes | complemented |
| 186 | #1441 | C23 | 1 | 7 | yes | complemented |
| 187 | #1441 | C23 | 1 | 7 | yes | complemented |
| 188 | #1441 | C23 | 1 | 7 | yes | complemented |
| 189 | #1441 | C23 | 1 | 7 | yes | complemented |
| 190 | #1441 | C23 | 1 | 7 | yes | complemented |
| 191 | #1440 | C23 | 1 | 7 | yes | — |
| 192 | #1440 | C23 | 1 | 7 | yes | — |
| 193 | #1440 | C23 | 1 | 7 | yes | — |
| 194 | #1440 | C23 | 1 | 7 | yes | — |
| 195 | #1440 | C23 | 1 | 7 | yes | — |
| 196 | #1440 | C23 | 1 | 7 | yes | — |
| 197 | #1440 | C23 | 1 | 7 | yes | — |
| 198 | #1440 | C23 | 1 | 7 | yes | — |
| 199 | #1440 | C23 | 1 | 7 | yes | — |
| 200 | #1440 | C23 | 1 | 7 | yes | — |
| 201 | #1440 | C23 | 1 | 7 | yes | — |
| 202 | #1440 | C23 | 1 | 7 | yes | — |
| 203 | #1440 | C23 | 1 | 7 | yes | — |
| 204 | #1440 | C23 | 1 | 7 | yes | — |
| 205 | #1440 | C23 | 1 | 7 | yes | — |
| 206 | #1440 | C23 | 1 | 7 | yes | — |
| 207 | #1440 | C23 | 1 | 7 | yes | — |
| 208 | #1440 | C23 | 1 | 7 | yes | — |
| 209 | #1440 | C23 | 1 | 7 | yes | — |
| 210 | #1440 | C23 | 1 | 7 | yes | — |
| 211 | #1440 | C23 | 1 | 7 | yes | — |
| 212 | #1440 | C23 | 1 | 7 | yes | — |
| 213 | #1440 | C23 | 1 | 7 | yes | — |
| 214 | #1440 | C23 | 1 | 7 | yes | — |
| 215 | #1439 | C23 | 1 | 7 | yes | — |
| 216 | #1439 | C23 | 1 | 7 | yes | — |
| 217 | #1439 | C23 | 1 | 7 | yes | — |
| 218 | #1439 | C23 | 1 | 7 | yes | — |
| 219 | #1439 | C23 | 1 | 7 | yes | — |
| 220 | #1439 | C23 | 1 | 7 | yes | — |
| 221 | #1439 | C23 | 1 | 7 | yes | — |
| 222 | #1439 | C23 | 1 | 7 | yes | — |
| 223 | #1439 | C23 | 1 | 7 | yes | — |
| 224 | #1439 | C23 | 1 | 7 | yes | — |
| 225 | #1439 | C23 | 1 | 7 | yes | — |
| 226 | #1439 | C23 | 1 | 7 | yes | — |
| 227 | #1439 | C23 | 1 | 7 | yes | — |
| 228 | #1439 | C23 | 1 | 7 | yes | — |
| 229 | #1439 | C23 | 1 | 7 | yes | — |
| 230 | #1439 | C23 | 1 | 7 | yes | — |
| 231 | #1439 | C23 | 1 | 7 | yes | — |
| 232 | #1439 | C23 | 1 | 7 | yes | — |
| 233 | #1439 | C23 | 1 | 7 | yes | — |
| 234 | #1439 | C23 | 1 | 7 | yes | — |
| 235 | #1439 | C23 | 1 | 7 | yes | — |
| 236 | #1439 | C23 | 1 | 7 | yes | — |
| 237 | #1439 | C23 | 1 | 7 | yes | — |
| 238 | #1439 | C23 | 1 | 7 | yes | — |
| 239 | #1439 | C23 | 1 | 7 | yes | — |
| 240 | #1439 | C23 | 1 | 7 | yes | — |
| 241 | #1439 | C23 | 1 | 7 | yes | — |
| 242 | #1439 | C23 | 1 | 7 | yes | — |
| 243 | #1439 | C23 | 1 | 7 | yes | — |
| 244 | #1439 | C23 | 1 | 7 | yes | — |
| 245 | #1439 | C23 | 1 | 7 | yes | — |
| 246 | #1439 | C23 | 1 | 7 | yes | — |
| 247 | #1439 | C23 | 1 | 7 | yes | — |
| 248 | #1439 | C23 | 1 | 7 | yes | — |
| 249 | #1439 | C23 | 1 | 7 | yes | — |
| 250 | #1439 | C23 | 1 | 7 | yes | — |
| 251 | #1439 | C23 | 1 | 7 | yes | — |
| 252 | #1439 | C23 | 1 | 7 | yes | — |
| 253 | #1439 | C23 | 1 | 7 | yes | — |
| 254 | #1439 | C23 | 1 | 7 | yes | — |
| 255 | #1439 | C23 | 1 | 7 | yes | — |
| 256 | #1439 | C23 | 1 | 7 | yes | — |
| 257 | #1439 | C23 | 1 | 7 | yes | — |
| 258 | #1439 | C23 | 1 | 7 | yes | — |
| 259 | #1439 | C23 | 1 | 7 | yes | — |
| 260 | #1439 | C23 | 1 | 7 | yes | — |
| 261 | #1439 | C23 | 1 | 7 | yes | — |
| 262 | #1439 | C23 | 1 | 7 | yes | — |
| 263 | #1437 | C23 | 1 | 7 | yes | — |
| 264 | #1437 | C23 | 1 | 7 | yes | — |
| 265 | #1437 | C23 | 1 | 7 | yes | — |
| 266 | #1437 | C23 | 1 | 7 | yes | — |
| 267 | #1437 | C23 | 1 | 7 | yes | — |
| 268 | #1437 | C23 | 1 | 7 | yes | — |
| 269 | #1437 | C23 | 1 | 7 | yes | — |
| 270 | #1437 | C23 | 1 | 7 | yes | — |
| 271 | #1437 | C23 | 1 | 7 | yes | — |
| 272 | #1437 | C23 | 1 | 7 | yes | — |
| 273 | #1437 | C23 | 1 | 7 | yes | — |
| 274 | #1437 | C23 | 1 | 7 | yes | — |
| 275 | #1437 | C23 | 1 | 7 | yes | — |
| 276 | #1437 | C23 | 1 | 7 | yes | — |
| 277 | #1437 | C23 | 1 | 7 | yes | — |
| 278 | #1437 | C23 | 1 | 7 | yes | — |
| 279 | #1436 | C23 | 1 | 7 | yes | complemented |
| 280 | #1436 | C23 | 1 | 7 | yes | complemented |
| 281 | #1436 | C23 | 1 | 7 | yes | complemented |
| 282 | #1436 | C23 | 1 | 7 | yes | complemented |
| 283 | #1436 | C23 | 1 | 7 | yes | complemented |
| 284 | #1436 | C23 | 1 | 7 | yes | complemented |
| 285 | #1436 | C23 | 1 | 7 | yes | complemented |
| 286 | #1436 | C23 | 1 | 7 | yes | complemented |
| 287 | #1436 | C23 | 1 | 7 | yes | complemented |
| 288 | #1436 | C23 | 1 | 7 | yes | complemented |
| 289 | #1436 | C23 | 1 | 7 | yes | complemented |
| 290 | #1436 | C23 | 1 | 7 | yes | complemented |
| 291 | C4⋊#95 | C23 | 1 | 7 | yes | complemented |
| 292 | C4⋊#95 | C23 | 1 | 7 | yes | complemented |
| 293 | C4⋊#95 | C23 | 1 | 7 | yes | complemented |
| 294 | C4⋊#95 | C23 | 1 | 7 | yes | complemented |
| 295 | #1434 | C23 | 1 | 7 | yes | complemented |
| 296 | #1434 | C23 | 1 | 7 | yes | complemented |
| 297 | #1434 | C23 | 1 | 7 | yes | complemented |
| 298 | #1434 | C23 | 1 | 7 | yes | complemented |
| 299 | #1434 | C23 | 1 | 7 | yes | complemented |
| 300 | #1434 | C23 | 1 | 7 | yes | complemented |
| 301 | #1434 | C23 | 1 | 7 | yes | complemented |
| 302 | #1434 | C23 | 1 | 7 | yes | complemented |
| 303 | #1434 | C23 | 1 | 7 | yes | complemented |
| 304 | C26 | — | 4 | 14 | no | — |
| 305 | C26 | — | 8 | 7 | no | — |
| 306 | C26 | — | 8 | 1 | no | — |
| 307 | C26 | C24 | 1 | 7 | yes | — |
| 308 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 309 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 310 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 311 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 312 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 313 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 314 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 315 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 316 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 317 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 318 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 319 | C22×C4⋊C4 | C24 | 1 | 7 | yes | — |
| 320 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 321 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 322 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 323 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 324 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 325 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 326 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 327 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 328 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 329 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 330 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 331 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 332 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 333 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 334 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 335 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 336 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 337 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 338 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 339 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 340 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 341 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 342 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 343 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 344 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 345 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 346 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 347 | C22×C22⋊C4 | C24 | 1 | 7 | yes | — |
| 348 | C22×C42 | C24 | 1 | 7 | yes | — |
| 349 | C22×C42 | C24 | 1 | 7 | yes | — |
| 350 | C22×C42 | C24 | 1 | 7 | yes | — |
| 351 | C22×C42 | C24 | 1 | 7 | yes | — |
| 352 | #400 | — | 8 | 7 | no | — |
| 353 | #400 | — | 8 | 7 | no | — |
| 354 | #399 | — | 4 | 14 | no | — |
| 355 | #399 | — | 8 | 7 | no | — |
| 356 | #398 | — | 8 | 7 | no | — |
| 357 | #398 | — | 8 | 7 | no | — |
| 358 | #398 | — | 8 | 7 | no | — |
| 359 | #397 | — | 4 | 14 | no | — |
| 360 | #397 | — | 4 | 14 | no | — |
| 361 | #397 | — | 8 | 7 | no | — |
| 362 | #397 | — | 8 | 7 | no | — |
| 363 | #397 | — | 8 | 7 | no | — |
| 364 | #397 | — | 8 | 7 | no | — |
| 365 | #396 | — | 8 | 7 | no | — |
| 366 | #396 | — | 8 | 7 | no | — |
| 367 | #396 | — | 8 | 7 | no | — |
| 368 | #396 | — | 8 | 7 | no | — |
| 369 | #389 | — | 8 | 7 | no | — |
| 370 | #388 | — | 4 | 14 | no | — |
| 371 | #388 | — | 4 | 14 | no | — |
| 372 | #388 | — | 4 | 14 | no | — |
| 373 | #388 | — | 4 | 14 | no | — |
| 374 | #388 | — | 4 | 14 | no | — |
| 375 | #388 | — | 8 | 7 | no | — |
| 376 | #388 | — | 8 | 7 | no | — |
| 377 | #388 | — | 8 | 7 | no | — |
| 378 | #388 | — | 8 | 7 | no | — |
| 379 | #388 | — | 8 | 7 | no | — |
| 380 | #388 | — | 8 | 7 | no | — |
| 381 | #388 | — | 8 | 7 | no | — |
| 382 | #387 | — | 8 | 7 | no | — |
| 383 | #387 | — | 8 | 7 | no | — |
| 384 | #379 | — | 4 | 14 | no | — |
| 385 | #379 | — | 4 | 14 | no | — |
| 386 | #379 | — | 4 | 14 | no | — |
| 387 | #379 | — | 4 | 14 | no | — |
| 388 | #379 | — | 4 | 14 | no | — |
| 389 | #379 | — | 4 | 14 | no | — |
| 390 | #379 | — | 8 | 7 | no | — |
| 391 | #379 | — | 8 | 7 | no | — |
| 392 | #379 | — | 8 | 7 | no | — |
| 393 | #379 | — | 8 | 7 | no | — |
| 394 | #379 | — | 8 | 7 | no | — |
| 395 | #379 | — | 8 | 7 | no | — |
| 396 | #379 | — | 8 | 7 | no | — |
| 397 | #379 | — | 8 | 7 | no | — |
| 398 | C4×C4⋊C4 | — | 8 | 7 | no | — |
| 399 | C2×#95 | C24 | 1 | 7 | yes | — |
| 400 | C2×#95 | C24 | 1 | 7 | yes | — |
| 401 | C2×#95 | C24 | 1 | 7 | yes | — |
| 402 | C2×#95 | C24 | 1 | 7 | yes | — |
| 403 | C2×#95 | C24 | 1 | 7 | yes | — |
| 404 | C2×#95 | C24 | 1 | 7 | yes | — |
| 405 | C2×#95 | C24 | 1 | 7 | yes | — |
| 406 | C2×#95 | C24 | 1 | 7 | yes | — |
| 407 | C2×#95 | C24 | 1 | 7 | yes | — |
| 408 | C2×#95 | C24 | 1 | 7 | yes | — |
| 409 | C2×#95 | C24 | 1 | 7 | yes | — |
| 410 | C2×#95 | C24 | 1 | 7 | yes | — |
| 411 | C2×#95 | C24 | 1 | 7 | yes | — |
| 412 | C2×#95 | C24 | 1 | 7 | yes | — |
| 413 | C2×#95 | C24 | 1 | 7 | yes | — |
| 414 | C2×#95 | C24 | 1 | 7 | yes | — |
| 415 | C2×#95 | C24 | 1 | 7 | yes | — |
| 416 | C2×#95 | C24 | 1 | 7 | yes | — |
| 417 | C2×#95 | C24 | 1 | 7 | yes | — |
| 418 | C2×#95 | C24 | 1 | 7 | yes | — |
| 419 | C2×#95 | C24 | 1 | 7 | yes | — |
| 420 | C2×#95 | C24 | 1 | 7 | yes | — |
| 421 | C2×#95 | C24 | 1 | 7 | yes | — |
| 422 | C2×#95 | C24 | 1 | 7 | yes | — |
| 423 | C2×#95 | C24 | 1 | 7 | yes | — |
| 424 | C2×#95 | C24 | 1 | 7 | yes | — |
| 425 | C2×#95 | C24 | 1 | 7 | yes | — |
| 426 | C2×#95 | C24 | 1 | 7 | yes | — |
| 427 | C2×#95 | C24 | 1 | 7 | yes | — |
| 428 | C2×#95 | C24 | 1 | 7 | yes | — |
| 429 | C2×#95 | C24 | 1 | 7 | yes | — |
| 430 | C2×#95 | C24 | 1 | 7 | yes | — |
| 431 | C2×#95 | C24 | 1 | 7 | yes | — |
| 432 | C2×#95 | C24 | 1 | 7 | yes | — |
| 433 | C2×#95 | C24 | 1 | 7 | yes | — |
| 434 | C2×#95 | C24 | 1 | 7 | yes | — |
| 435 | C2×#95 | C24 | 1 | 7 | yes | — |
| 436 | C2×#95 | C24 | 1 | 7 | yes | — |
| 437 | C2×#95 | C24 | 1 | 7 | yes | — |
| 438 | C2×#95 | C24 | 1 | 7 | yes | — |
| 439 | C2×#95 | C24 | 1 | 7 | yes | — |
| 440 | C2×#95 | C24 | 1 | 7 | yes | — |
| 441 | C2×#95 | C24 | 1 | 7 | yes | — |
| 442 | C2×#95 | C24 | 1 | 7 | yes | — |
| 443 | C2×#95 | C24 | 1 | 7 | yes | — |
| 444 | C2×#95 | C24 | 1 | 7 | yes | — |
| 445 | C2×#95 | C24 | 1 | 7 | yes | — |
| 446 | C2×#95 | C24 | 1 | 7 | yes | — |
| 447 | C43 | — | 8 | 1 | no | — |
| 448 | C25 | — | 2 | 14 | no | — |
| 449 | C25 | — | 2 | 14 | no | — |
| 450 | C25 | — | 2 | 14 | no | — |
| 451 | C25 | — | 4 | 7 | no | — |
| 452 | C25 | — | 4 | 7 | no | — |
| 453 | C25 | — | 4 | 7 | no | — |
| 454 | C25 | — | 4 | 7 | no | — |
| 455 | C25 | — | 4 | 7 | no | — |
| 456 | C25 | — | 4 | 7 | no | — |
| 457 | C25 | — | 4 | 7 | no | — |
| 458 | C25 | — | 4 | 7 | no | — |
| 459 | C25 | — | 4 | 7 | no | — |
| 460 | C25 | — | 4 | 7 | no | — |
| 461 | C25 | — | 4 | 7 | no | — |
| 462 | C25 | — | 4 | 7 | no | — |
| 463 | C25 | — | 8 | 56 | no | — |
| 464 | C25 | — | 8 | 56 | no | — |
| 465 | C25 | — | 8 | 56 | no | — |
| 466 | C25 | — | 8 | 56 | no | — |
| 467 | C25 | — | 8 | 56 | no | — |
| 468 | C25 | C25 | 1 | 7 | yes | — |
| 469 | C23×C4 | C25 | 1 | 7 | yes | — |
| 470 | C23×C4 | C25 | 1 | 7 | yes | — |
| 471 | C23×C4 | C25 | 1 | 7 | yes | — |
| 472 | C23×C4 | C25 | 1 | 7 | yes | — |
| 473 | C23×C4 | C25 | 1 | 7 | yes | — |
| 474 | C23×C4 | C25 | 1 | 7 | yes | — |
| 475 | C23×C4 | C25 | 1 | 7 | yes | — |
| 476 | C23×C4 | C25 | 1 | 7 | yes | — |
| 477 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 478 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 479 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 480 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 481 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 482 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 483 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 484 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 485 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 486 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 487 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 488 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 489 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 490 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 491 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 492 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 493 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 494 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 495 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 496 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 497 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 498 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 499 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 500 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 501 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 502 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 503 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 504 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 505 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 506 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 507 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 508 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 509 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 510 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 511 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 512 | C2×C4⋊C4 | — | 4 | 7 | no | — |
| 513 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 514 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 515 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 516 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 517 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 518 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 519 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 520 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 521 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 522 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 523 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 524 | C2×C22⋊C4 | — | 2 | 14 | no | — |
| 525 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 526 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 527 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 528 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 529 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 530 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 531 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 532 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 533 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 534 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 535 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 536 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 537 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 538 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 539 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 540 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 541 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 542 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 543 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 544 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 545 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 546 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 547 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 548 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 549 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 550 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 551 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 552 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 553 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 554 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 555 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 556 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 557 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 558 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 559 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 560 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 561 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 562 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 563 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 564 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 565 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 566 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 567 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 568 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 569 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 570 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 571 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 572 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 573 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 574 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 575 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 576 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 577 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 578 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 579 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 580 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 581 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 582 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 583 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 584 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 585 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 586 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 587 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 588 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 589 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 590 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 591 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 592 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 593 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 594 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 595 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 596 | C2×C22⋊C4 | — | 4 | 7 | no | — |
| 597 | C2×C42 | — | 4 | 7 | no | — |
| 598 | C2×C42 | — | 4 | 7 | no | — |
| 599 | C2×C42 | — | 4 | 7 | no | — |
| 600 | C2×C42 | — | 4 | 7 | no | — |
| 601 | C2×C42 | — | 4 | 7 | no | — |
| 602 | C2×C42 | — | 4 | 7 | no | — |
| 603 | C2×C42 | — | 4 | 7 | no | — |
| 604 | C2×C42 | — | 4 | 7 | no | — |
| 605 | C2×C42 | — | 4 | 7 | no | — |
| 606 | C2×C42 | — | 4 | 7 | no | — |
| 607 | C2×C42 | — | 4 | 7 | no | — |
| 608 | C2×C42 | — | 4 | 7 | no | — |
| 609 | #95 | — | 4 | 7 | no | — |
| 610 | #95 | — | 4 | 7 | no | — |
| 611 | #95 | — | 4 | 7 | no | — |
| 612 | #95 | — | 4 | 7 | no | — |
| 613 | #95 | — | 4 | 7 | no | — |
| 614 | #95 | — | 4 | 7 | no | — |
| 615 | #95 | — | 4 | 7 | no | — |
| 616 | #95 | — | 4 | 7 | no | — |
| 617 | #95 | — | 4 | 7 | no | — |
| 618 | #95 | — | 4 | 7 | no | — |
| 619 | #95 | — | 4 | 7 | no | — |
| 620 | #95 | — | 4 | 7 | no | — |
| 621 | #95 | — | 4 | 7 | no | — |
| 622 | #95 | — | 4 | 7 | no | — |
| 623 | #95 | — | 4 | 7 | no | — |
| 624 | #95 | — | 4 | 7 | no | — |
| 625 | #95 | — | 4 | 7 | no | — |
| 626 | #95 | — | 4 | 7 | no | — |
| 627 | #95 | — | 4 | 7 | no | — |
| 628 | #95 | — | 4 | 7 | no | — |
| 629 | #95 | — | 4 | 7 | no | — |
| 630 | #95 | — | 4 | 7 | no | — |
| 631 | #95 | — | 4 | 7 | no | — |
| 632 | #95 | — | 4 | 7 | no | — |
| 633 | #95 | — | 4 | 7 | no | — |
| 634 | #95 | — | 4 | 7 | no | — |
| 635 | #95 | — | 4 | 7 | no | — |
| 636 | #95 | — | 4 | 7 | no | — |
| 637 | #95 | — | 4 | 7 | no | — |
| 638 | #95 | — | 4 | 7 | no | — |
| 639 | #95 | — | 4 | 7 | no | — |
| 640 | #95 | — | 4 | 7 | no | — |
| 641 | #95 | — | 4 | 7 | no | — |
| 642 | #95 | — | 4 | 7 | no | — |
| 643 | #95 | — | 4 | 7 | no | — |
| 644 | #95 | — | 4 | 7 | no | — |
| 645 | #95 | — | 4 | 7 | no | — |
| 646 | #95 | — | 4 | 7 | no | — |
| 647 | #95 | — | 4 | 7 | no | — |
| 648 | #95 | — | 4 | 7 | no | — |
| 649 | #95 | — | 4 | 7 | no | — |
| 650 | #95 | — | 4 | 7 | no | — |
| 651 | #95 | — | 4 | 7 | no | — |
| 652 | #95 | — | 4 | 7 | no | — |
| 653 | #95 | — | 4 | 7 | no | — |
| 654 | #95 | — | 4 | 7 | no | — |
| 655 | #95 | — | 4 | 7 | no | — |
| 656 | #95 | — | 4 | 7 | no | — |
| 657 | C24 | — | 2 | 7 | no | — |
| 658 | C24 | — | 2 | 7 | no | — |
| 659 | C24 | — | 2 | 7 | no | — |
| 660 | C24 | — | 2 | 7 | no | — |
| 661 | C24 | — | 2 | 7 | no | — |
| 662 | C24 | — | 2 | 7 | no | — |
| 663 | C24 | — | 2 | 7 | no | — |
| 664 | C24 | — | 2 | 7 | no | — |
| 665 | C24 | — | 2 | 7 | no | — |
| 666 | C24 | — | 2 | 7 | no | — |
| 667 | C24 | — | 2 | 7 | no | — |
| 668 | C24 | — | 2 | 7 | no | — |
| 669 | C24 | — | 2 | 7 | no | — |
| 670 | C24 | — | 2 | 7 | no | — |
| 671 | C24 | — | 4 | 28 | no | — |
| 672 | C24 | — | 4 | 28 | no | — |
| 673 | C24 | — | 4 | 28 | no | — |
| 674 | C24 | — | 4 | 28 | no | — |
| 675 | C24 | — | 4 | 28 | no | — |
| 676 | C24 | — | 4 | 28 | no | — |
| 677 | C24 | — | 4 | 28 | no | — |
| 678 | C24 | — | 8 | 14 | no | — |
| 679 | C24 | — | 8 | 14 | no | — |
| 680 | C24 | — | 8 | 14 | no | — |
| 681 | C24 | — | 8 | 14 | no | — |
| 682 | C24 | — | 8 | 14 | no | — |
| 683 | C24 | — | 8 | 14 | no | — |
| 684 | C24 | — | 8 | 14 | no | — |
| 685 | C24 | — | 8 | 14 | no | — |
| 686 | C24 | — | 8 | 14 | no | — |
| 687 | C24 | — | 8 | 14 | no | — |
| 688 | C24 | — | 8 | 14 | no | — |
| 689 | C24 | — | 8 | 14 | no | — |
| 690 | C24 | — | 8 | 14 | no | — |
| 691 | C24 | — | 8 | 14 | no | — |
| 692 | C24 | — | 8 | 14 | no | — |
| 693 | C24 | — | 8 | 14 | no | — |
| 694 | C24 | — | 8 | 14 | no | — |
| 695 | C24 | — | 8 | 14 | no | — |
| 696 | C24 | — | 8 | 14 | no | — |
| 697 | C24 | — | 8 | 14 | no | — |
| 698 | C24 | — | 8 | 14 | no | — |
| 699 | C24 | — | 8 | 14 | no | — |
| 700 | C24 | — | 8 | 14 | no | — |
| 701 | C24 | — | 8 | 14 | no | — |
| 702 | C24 | — | 8 | 14 | no | — |
| 703 | C24 | — | 8 | 14 | no | — |
| 704 | C24 | — | 8 | 14 | no | — |
| 705 | C24 | — | 8 | 14 | no | — |
| 706 | C24 | — | 8 | 448 | no | — |
| 707 | C24 | — | 8 | 448 | no | — |
| 708 | C24 | — | 8 | 64 | no | — |
| 709 | C24 | #585 | 1 | 14 | yes | — |
| 710 | C24 | C26 | 1 | 1 | yes | characteristic |
| 711 | C22×C4 | — | 2 | 7 | no | — |
| 712 | C22×C4 | — | 2 | 7 | no | — |
| 713 | C22×C4 | — | 2 | 7 | no | — |
| 714 | C22×C4 | — | 2 | 7 | no | — |
| 715 | C22×C4 | — | 2 | 7 | no | — |
| 716 | C22×C4 | — | 2 | 7 | no | — |
| 717 | C22×C4 | — | 2 | 7 | no | — |
| 718 | C22×C4 | — | 2 | 7 | no | — |
| 719 | C22×C4 | — | 2 | 7 | no | — |
| 720 | C22×C4 | — | 2 | 7 | no | — |
| 721 | C22×C4 | — | 2 | 7 | no | — |
| 722 | C22×C4 | — | 2 | 7 | no | — |
| 723 | C22×C4 | — | 2 | 7 | no | — |
| 724 | C22×C4 | — | 2 | 7 | no | — |
| 725 | C22×C4 | — | 2 | 7 | no | — |
| 726 | C22×C4 | — | 2 | 7 | no | — |
| 727 | C22×C4 | — | 2 | 7 | no | — |
| 728 | C22×C4 | — | 2 | 7 | no | — |
| 729 | C22×C4 | — | 2 | 7 | no | — |
| 730 | C22×C4 | — | 2 | 7 | no | — |
| 731 | C22×C4 | — | 2 | 7 | no | — |
| 732 | C22×C4 | — | 2 | 7 | no | — |
| 733 | C22×C4 | — | 2 | 7 | no | — |
| 734 | C22×C4 | — | 2 | 7 | no | — |
| 735 | C22×C4 | — | 2 | 7 | no | — |
| 736 | C22×C4 | — | 2 | 7 | no | — |
| 737 | C22×C4 | — | 2 | 7 | no | — |
| 738 | C22×C4 | — | 2 | 7 | no | — |
| 739 | C22×C4 | — | 2 | 7 | no | — |
| 740 | C22×C4 | — | 2 | 7 | no | — |
| 741 | C22×C4 | — | 2 | 7 | no | — |
| 742 | C22×C4 | — | 2 | 7 | no | — |
| 743 | C22×C4 | — | 2 | 7 | no | — |
| 744 | C22×C4 | — | 2 | 7 | no | — |
| 745 | C22×C4 | — | 2 | 7 | no | — |
| 746 | C22×C4 | — | 2 | 7 | no | — |
| 747 | C22×C4 | — | 2 | 7 | no | — |
| 748 | C22×C4 | — | 2 | 7 | no | — |
| 749 | C22×C4 | — | 2 | 7 | no | — |
| 750 | C22×C4 | — | 2 | 7 | no | — |
| 751 | C22×C4 | — | 2 | 7 | no | — |
| 752 | C22×C4 | — | 2 | 7 | no | — |
| 753 | C22×C4 | — | 2 | 7 | no | — |
| 754 | C22×C4 | — | 2 | 7 | no | — |
| 755 | C22×C4 | — | 2 | 7 | no | — |
| 756 | C22×C4 | — | 2 | 7 | no | — |
| 757 | C22×C4 | — | 2 | 7 | no | — |
| 758 | C22×C4 | — | 2 | 7 | no | — |
| 759 | C22×C4 | — | 2 | 7 | no | — |
| 760 | C22×C4 | — | 2 | 7 | no | — |
| 761 | C22×C4 | — | 2 | 7 | no | — |
| 762 | C22×C4 | — | 2 | 7 | no | — |
| 763 | C22×C4 | — | 2 | 7 | no | — |
| 764 | C22×C4 | — | 2 | 7 | no | — |
| 765 | C22×C4 | — | 2 | 7 | no | — |
| 766 | C22×C4 | — | 2 | 7 | no | — |
| 767 | C4⋊C4 | — | 8 | 14 | no | — |
| 768 | C4⋊C4 | — | 8 | 14 | no | — |
| 769 | C4⋊C4 | — | 8 | 14 | no | — |
| 770 | C4⋊C4 | — | 8 | 14 | no | — |
| 771 | C4⋊C4 | — | 8 | 14 | no | — |
| 772 | C4⋊C4 | — | 16 | 7 | no | — |
| 773 | C4⋊C4 | — | 16 | 7 | no | — |
| 774 | C4⋊C4 | — | 16 | 7 | no | — |
| 775 | C4⋊C4 | — | 16 | 7 | no | — |
| 776 | C4⋊C4 | — | 16 | 7 | no | — |
| 777 | C4⋊C4 | — | 16 | 7 | no | — |
| 778 | C4⋊C4 | — | 16 | 7 | no | — |
| 779 | C22⋊C4 | — | 8 | 14 | no | — |
| 780 | C22⋊C4 | — | 8 | 14 | no | — |
| 781 | C22⋊C4 | — | 8 | 14 | no | — |
| 782 | C22⋊C4 | — | 8 | 14 | no | — |
| 783 | C22⋊C4 | — | 8 | 14 | no | — |
| 784 | C22⋊C4 | — | 8 | 14 | no | — |
| 785 | C22⋊C4 | — | 8 | 14 | no | — |
| 786 | C22⋊C4 | — | 8 | 14 | no | — |
| 787 | C22⋊C4 | — | 8 | 14 | no | — |
| 788 | C22⋊C4 | — | 8 | 14 | no | — |
| 789 | C22⋊C4 | — | 8 | 14 | no | — |
| 790 | C22⋊C4 | — | 8 | 14 | no | — |
| 791 | C22⋊C4 | — | 16 | 7 | no | — |
| 792 | C22⋊C4 | — | 16 | 7 | no | — |
| 793 | C22⋊C4 | — | 16 | 7 | no | — |
| 794 | C22⋊C4 | — | 16 | 7 | no | — |
| 795 | C22⋊C4 | — | 16 | 7 | no | — |
| 796 | C22⋊C4 | — | 16 | 7 | no | — |
| 797 | C22⋊C4 | — | 16 | 7 | no | — |
| 798 | C22⋊C4 | — | 16 | 7 | no | — |
| 799 | C22⋊C4 | — | 16 | 7 | no | — |
| 800 | C22⋊C4 | — | 16 | 7 | no | — |
| 801 | C22⋊C4 | — | 16 | 7 | no | — |
| 802 | C22⋊C4 | — | 16 | 7 | no | — |
| 803 | C22⋊C4 | — | 16 | 7 | no | — |
| 804 | C22⋊C4 | — | 16 | 7 | no | — |
| 805 | C22⋊C4 | — | 16 | 7 | no | — |
| 806 | C22⋊C4 | — | 16 | 7 | no | — |
| 807 | C42 | — | 8 | 14 | no | — |
| 808 | C42 | — | 8 | 14 | no | — |
| 809 | C42 | — | 16 | 7 | no | — |
| 810 | C42 | — | 16 | 7 | no | — |
| 811 | C23 | — | 2 | 14 | no | — |
| 812 | C23 | — | 2 | 14 | no | — |
| 813 | C23 | — | 2 | 14 | no | — |
| 814 | C23 | — | 2 | 14 | no | — |
| 815 | C23 | — | 2 | 14 | no | — |
| 816 | C23 | — | 2 | 14 | no | — |
| 817 | C23 | — | 2 | 14 | no | — |
| 818 | C23 | — | 4 | 7 | no | — |
| 819 | C23 | — | 4 | 7 | no | — |
| 820 | C23 | — | 4 | 7 | no | — |
| 821 | C23 | — | 4 | 7 | no | — |
| 822 | C23 | — | 4 | 7 | no | — |
| 823 | C23 | — | 4 | 7 | no | — |
| 824 | C23 | — | 4 | 7 | no | — |
| 825 | C23 | — | 4 | 7 | no | — |
| 826 | C23 | — | 4 | 7 | no | — |
| 827 | C23 | — | 4 | 7 | no | — |
| 828 | C23 | — | 4 | 7 | no | — |
| 829 | C23 | — | 4 | 7 | no | — |
| 830 | C23 | — | 4 | 7 | no | — |
| 831 | C23 | — | 4 | 7 | no | — |
| 832 | C23 | — | 4 | 7 | no | — |
| 833 | C23 | — | 4 | 7 | no | — |
| 834 | C23 | — | 4 | 7 | no | — |
| 835 | C23 | — | 4 | 7 | no | — |
| 836 | C23 | — | 4 | 7 | no | — |
| 837 | C23 | — | 4 | 7 | no | — |
| 838 | C23 | — | 4 | 7 | no | — |
| 839 | C23 | — | 4 | 7 | no | — |
| 840 | C23 | — | 4 | 7 | no | — |
| 841 | C23 | — | 4 | 7 | no | — |
| 842 | C23 | — | 4 | 7 | no | — |
| 843 | C23 | — | 4 | 7 | no | — |
| 844 | C23 | — | 4 | 7 | no | — |
| 845 | C23 | — | 4 | 7 | no | — |
| 846 | C23 | — | 8 | 56 | no | — |
| 847 | C23 | — | 8 | 56 | no | — |
| 848 | C23 | — | 8 | 56 | no | — |
| 849 | C23 | — | 8 | 56 | no | — |
| 850 | C23 | — | 8 | 56 | no | — |
| 851 | C23 | — | 8 | 56 | no | — |
| 852 | C23 | — | 8 | 56 | no | — |
| 853 | C23 | — | 8 | 56 | no | — |
| 854 | C23 | — | 8 | 56 | no | — |
| 855 | C23 | — | 8 | 56 | no | — |
| 856 | C23 | — | 8 | 56 | no | — |
| 857 | C23 | — | 8 | 56 | no | — |
| 858 | C23 | — | 8 | 56 | no | — |
| 859 | C23 | — | 8 | 512 | no | — |
| 860 | C23 | — | 8 | 56 | no | — |
| 861 | C23 | — | 8 | 56 | no | — |
| 862 | C23 | C2×#585 | 1 | 7 | yes | — |
| 863 | C23 | H(7,𝔽2) | 1 | 1 | yes | characteristic |
| 864 | C23 | H(7,𝔽2) | 1 | 7 | yes | — |
| 865 | C2×C4 | — | 4 | 7 | no | — |
| 866 | C2×C4 | — | 4 | 7 | no | — |
| 867 | C2×C4 | — | 4 | 7 | no | — |
| 868 | C2×C4 | — | 4 | 7 | no | — |
| 869 | C2×C4 | — | 4 | 7 | no | — |
| 870 | C2×C4 | — | 4 | 7 | no | — |
| 871 | C2×C4 | — | 4 | 7 | no | — |
| 872 | C2×C4 | — | 4 | 7 | no | — |
| 873 | C2×C4 | — | 4 | 7 | no | — |
| 874 | C2×C4 | — | 4 | 7 | no | — |
| 875 | C2×C4 | — | 4 | 7 | no | — |
| 876 | C2×C4 | — | 4 | 7 | no | — |
| 877 | C2×C4 | — | 4 | 7 | no | — |
| 878 | C2×C4 | — | 4 | 7 | no | — |
| 879 | C2×C4 | — | 4 | 7 | no | — |
| 880 | C2×C4 | — | 4 | 7 | no | — |
| 881 | C2×C4 | — | 4 | 7 | no | — |
| 882 | C2×C4 | — | 4 | 7 | no | — |
| 883 | C2×C4 | — | 4 | 7 | no | — |
| 884 | C2×C4 | — | 4 | 7 | no | — |
| 885 | C2×C4 | — | 4 | 7 | no | — |
| 886 | C2×C4 | — | 4 | 7 | no | — |
| 887 | C2×C4 | — | 4 | 7 | no | — |
| 888 | C2×C4 | — | 4 | 7 | no | — |
| 889 | C2×C4 | — | 4 | 7 | no | — |
| 890 | C2×C4 | — | 4 | 7 | no | — |
| 891 | C2×C4 | — | 4 | 7 | no | — |
| 892 | C2×C4 | — | 4 | 7 | no | — |
| 893 | C2×C4 | — | 4 | 7 | no | — |
| 894 | C2×C4 | — | 4 | 7 | no | — |
| 895 | C2×C4 | — | 4 | 7 | no | — |
| 896 | C2×C4 | — | 4 | 7 | no | — |
| 897 | C2×C4 | — | 4 | 7 | no | — |
| 898 | C2×C4 | — | 4 | 7 | no | — |
| 899 | C2×C4 | — | 4 | 7 | no | — |
| 900 | C2×C4 | — | 4 | 7 | no | — |
| 901 | C2×C4 | — | 4 | 7 | no | — |
| 902 | C2×C4 | — | 4 | 7 | no | — |
| 903 | C2×C4 | — | 4 | 7 | no | — |
| 904 | C2×C4 | — | 4 | 7 | no | — |
| 905 | C2×C4 | — | 4 | 7 | no | — |
| 906 | C2×C4 | — | 4 | 7 | no | — |
| 907 | C2×C4 | — | 4 | 7 | no | — |
| 908 | C2×C4 | — | 4 | 7 | no | — |
| 909 | C2×C4 | — | 4 | 7 | no | — |
| 910 | C2×C4 | — | 4 | 7 | no | — |
| 911 | C2×C4 | — | 4 | 7 | no | — |
| 912 | C2×C4 | — | 4 | 7 | no | — |
| 913 | C2×C4 | — | 4 | 7 | no | — |
| 914 | C2×C4 | — | 4 | 7 | no | — |
| 915 | C2×C4 | — | 4 | 7 | no | — |
| 916 | C2×C4 | — | 4 | 7 | no | — |
| 917 | C2×C4 | — | 4 | 7 | no | — |
| 918 | C2×C4 | — | 4 | 7 | no | — |
| 919 | C2×C4 | — | 4 | 7 | no | — |
| 920 | C2×C4 | — | 4 | 7 | no | — |
| 921 | C22 | — | 4 | 14 | no | — |
| 922 | C22 | — | 4 | 14 | no | — |
| 923 | C22 | — | 4 | 14 | no | — |
| 924 | C22 | — | 4 | 14 | no | — |
| 925 | C22 | — | 4 | 14 | no | — |
| 926 | C22 | — | 4 | 14 | no | — |
| 927 | C22 | — | 4 | 14 | no | — |
| 928 | C22 | — | 8 | 224 | no | — |
| 929 | C22 | — | 8 | 7 | no | — |
| 930 | C22 | — | 8 | 7 | no | — |
| 931 | C22 | — | 8 | 7 | no | — |
| 932 | C22 | — | 8 | 7 | no | — |
| 933 | C22 | — | 8 | 7 | no | — |
| 934 | C22 | — | 8 | 7 | no | — |
| 935 | C22 | — | 8 | 7 | no | — |
| 936 | C22 | — | 8 | 7 | no | — |
| 937 | C22 | #62906 | 1 | 7 | yes | — |
| 938 | C22 | #62906 | 1 | 7 | yes | — |
| 939 | C22 | #62933 | 1 | 7 | yes | — |
| 940 | C22 | #62973 | 1 | 7 | yes | — |
| 941 | C22 | #63042 | 1 | 7 | yes | — |
| 942 | C4 | — | 8 | 7 | no | — |
| 943 | C4 | — | 8 | 7 | no | — |
| 944 | C4 | — | 8 | 7 | no | — |
| 945 | C4 | — | 8 | 7 | no | — |
| 946 | C4 | — | 8 | 7 | no | — |
| 947 | C4 | — | 8 | 7 | no | — |
| 948 | C4 | — | 8 | 7 | no | — |
| 949 | C4 | — | 8 | 7 | no | — |
| 950 | C2 | — | 8 | 14 | no | — |
| 951 | C2 | #10349003 | 1 | 7 | yes | — |
| 952 | C2 | #10460730 | 1 | 7 | yes | — |
| 953 | C2 | #10573989 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, commutator, Frattini, socle, cosocle | C24 | C26 |
| prime radical | C27 | C23 |
| LCS | G ▷ C24 ▷ C1 | |
| UCS | C1 ◁ C24 ◁ G | |
| LECS | G ▷ C24 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #6062294 | C2 | semidirect |
| 2. #5901751 | C2 | semidirect |
| 3. #5793862 | C2 | semidirect |
| 4. #5729214 | C2 | semidirect |
| 5. #4280146 | C2 | semidirect |
| 6. #4226766 | C2 | semidirect |
| 7. #4211053 | C2 | semidirect |
| 8. #2063725 | C2 | semidirect |
| 10. #17296 | C22 | semidirect |
| 11. #17241 | C22 | semidirect |
| 12. #17207 | C22 | semidirect |
| 13. #17195 | C22 | semidirect |
| 14. #17167 | C22 | semidirect |
| 15. #17130 | C22 | semidirect |
| 16. #17130 | C22 | semidirect |
| 17. #16956 | C22 | semidirect |
| 18. #16929 | C22 | semidirect |
| 19. #16917 | C22 | semidirect |
| 20. #16847 | C22 | semidirect |
| 21. #16793 | C22 | semidirect |
| 22. #16780 | C22 | semidirect |
| 23. #16773 | C22 | semidirect |
| 24. #16722 | C22 | semidirect |
| 25. #16638 | C22 | semidirect |
| 26. #16616 | C22 | semidirect |
| 27. #16595 | C22 | semidirect |
| 28. #16498 | C22 | semidirect |
| 29. #16494 | C22 | semidirect |
| 30. #16488 | C22 | semidirect |
| 31. #16477 | C22 | semidirect |
| 32. #16459 | C22 | semidirect |
| 33. #16434 | C22 | semidirect |
| 34. #16428 | C22 | semidirect |
| 38. #16335 | C22 | semidirect |
| 39. #16330 | C22 | semidirect |
| 40. #16315 | C22 | semidirect |
| 44. #16219 | C22 | semidirect |
| 45. #16152 | C22 | semidirect |
| 46. #16131 | C22 | semidirect |
| 47. #16129 | C22 | semidirect |
| 48. #16129 | C22 | semidirect |
| 49. #16077 | C22 | semidirect |
| 50. #16077 | C22 | semidirect |
| 51. #15837 | C22 | semidirect |
| 52. #15835 | C22 | semidirect |
| 53. #15781 | C22 | semidirect |
| 54. #15751 | C22 | semidirect |
| 55. #15749 | C22 | semidirect |
| 56. #15742 | C22 | semidirect |
| 57. #15718 | C22 | semidirect |
| 58. #15665 | C22 | semidirect |
| 59. #15656 | C22 | semidirect |
| 60. #15597 | C22 | semidirect |
| 61. #15570 | C22 | semidirect |
| 62. #15553 | C22 | semidirect |
| 64. #15402 | C22 | semidirect |
| 65. #15353 | C22 | semidirect |
| 81. #15252 | C22 | semidirect |
| 82. #15093 | C22 | semidirect |
| 83. #15078 | C22 | semidirect |
| 84. #14870 | C22 | semidirect |
| 85. #14859 | C22 | semidirect |
| 86. #14854 | C22 | semidirect |
| 87. #14784 | C22 | semidirect |
| 88. #14701 | C22 | semidirect |
| 90. #14615 | C22 | semidirect |
| 91. #14579 | C22 | semidirect |
| 92. #14578 | C22 | semidirect |
| 93. #14512 | C22 | semidirect |
| 94. #14496 | C22 | semidirect |
| 95. #14447 | C22 | semidirect |
| 96. #14437 | C22 | semidirect |
| 104. C2×#400 | C23 | semidirect |
| 105. C2×#400 | C23 | semidirect |
| 108. C2×#398 | C23 | semidirect |
| 109. C2×#398 | C23 | semidirect |
| 110. C2×#398 | C23 | semidirect |
| 121. C2×#389 | C23 | semidirect |
| 134. C2×#387 | C23 | semidirect |
| 135. C2×#387 | C23 | semidirect |
| 150. C2×C4×C4⋊C4 | C23 | semidirect |
| 151. C2×C43 | C23 | semidirect |
| 152. #1445 | C23 | semidirect |
| 153. #1445 | C23 | semidirect |
| 154. #1445 | C23 | semidirect |
| 155. #1445 | C23 | semidirect |
| 156. #1445 | C23 | semidirect |
| 157. #1444 | C23 | semidirect |
| 158. #1444 | C23 | semidirect |
| 159. #1444 | C23 | semidirect |
| 160. #1444 | C23 | semidirect |
| 161. #1443 | C23 | semidirect |
| 162. #1443 | C23 | semidirect |
| 163. #1443 | C23 | semidirect |
| 164. #1443 | C23 | semidirect |
| 165. #1443 | C23 | semidirect |
| 166. #1443 | C23 | semidirect |
| 167. #1443 | C23 | semidirect |
| 168. #1443 | C23 | semidirect |
| 169. #1442 | C23 | semidirect |
| 170. #1442 | C23 | semidirect |
| 171. #1442 | C23 | semidirect |
| 172. #1442 | C23 | semidirect |
| 173. #1442 | C23 | semidirect |
| 174. #1442 | C23 | semidirect |
| 175. #1442 | C23 | semidirect |
| 176. #1442 | C23 | semidirect |
| 177. #1442 | C23 | semidirect |
| 178. #1442 | C23 | semidirect |
| 179. #1442 | C23 | semidirect |
| 180. #1441 | C23 | semidirect |
| 181. #1441 | C23 | semidirect |
| 182. #1441 | C23 | semidirect |
| 183. #1441 | C23 | semidirect |
| 184. #1441 | C23 | semidirect |
| 185. #1441 | C23 | semidirect |
| 186. #1441 | C23 | semidirect |
| 187. #1441 | C23 | semidirect |
| 188. #1441 | C23 | semidirect |
| 189. #1441 | C23 | semidirect |
| 190. #1441 | C23 | semidirect |
| 279. #1436 | C23 | semidirect |
| 280. #1436 | C23 | semidirect |
| 281. #1436 | C23 | semidirect |
| 282. #1436 | C23 | semidirect |
| 283. #1436 | C23 | semidirect |
| 284. #1436 | C23 | semidirect |
| 285. #1436 | C23 | semidirect |
| 286. #1436 | C23 | semidirect |
| 287. #1436 | C23 | semidirect |
| 288. #1436 | C23 | semidirect |
| 289. #1436 | C23 | semidirect |
| 290. #1436 | C23 | semidirect |
| 291. C4⋊#95 | C23 | semidirect |
| 292. C4⋊#95 | C23 | semidirect |
| 293. C4⋊#95 | C23 | semidirect |
| 294. C4⋊#95 | C23 | semidirect |
| 295. #1434 | C23 | semidirect |
| 296. #1434 | C23 | semidirect |
| 297. #1434 | C23 | semidirect |
| 298. #1434 | C23 | semidirect |
| 299. #1434 | C23 | semidirect |
| 300. #1434 | C23 | semidirect |
| 301. #1434 | C23 | semidirect |
| 302. #1434 | C23 | semidirect |
| 303. #1434 | C23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #6062294 | 2 |
| #5901751 | 2 |
| #5793862 | 2 |
| #5729214 | 2 |
| #4280146 | 2 |
| #4226766 | 2 |
| #4211053 | 2 |
| #2063725 | 2 |
| #2039953 | 2 |