Order 18688.
2574 conjugacy classes of subgroups.
The subgroup lattice has 364 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22615314 | C2 | direct (N × H) |
| 69. C2×C4⋊C4×C73 | Q8 | semidirect |
| 118. C4⋊C4×C73 | C2×Q8 | semidirect |
| 176. C2×C73 | #2584 | semidirect |
| 191. C73 | C2×#2584 | semidirect |
| 247. C2×C4⋊C4 | Dic146 | semidirect |
| 299. C4⋊C4 | C2×Dic146 | semidirect |
| 357. C2 | #22615314 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14556583 | 2 |
| C22×C4×Dic146 | 2 |
| #22615314 | 2 |
| C2×#17988519 | 2 |
| C2×#17988508 | 2 |
| C2×#17988486 | 2 |
| C2×#17988485 | 2 |
| C2×C4×C4⋊C4×C73 | 2 |
| C2×#2584 | 73 |