Order 11008.
2430 conjugacy classes of subgroups.
The subgroup lattice has 380 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. Dic43⋊#95 | C2 | semidirect |
| 5. #19132821 | C2 | semidirect |
| 13. C22×C4×Dic43 | C4 | semidirect |
| 79. C22×C4×C43 | C4⋊C4 | semidirect |
| 181. Dic43 | #381 | semidirect |
| 214. C43 | #14685 | semidirect |
| 290. C22×C4 | Dic43⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×Dic43 | 2 |
| C2×#14582762 | 2 |
| C2×#14582757 | 2 |
| Dic43⋊#95 | 2 |
| #19132821 | 2 |
| #19132817 | 2 |
| C2×C43×#381 | 2 |
| #14685 | 43 |