Order 12032.
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. Dic47⋊#95 | C2 | semidirect |
| 5. #20241614 | C2 | semidirect |
| 13. C22×C4×Dic47 | C4 | semidirect |
| 79. C22×C4×C47 | C4⋊C4 | semidirect |
| 181. Dic47 | #381 | semidirect |
| 214. C47 | #14685 | semidirect |
| 290. C22×C4 | Dic47⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×Dic47 | 2 |
| C2×#15688986 | 2 |
| C2×#15688981 | 2 |
| Dic47⋊#95 | 2 |
| #20241614 | 2 |
| #20241610 | 2 |
| C2×C47×#381 | 2 |
| #14685 | 47 |