Order 12032.
2782 conjugacy classes of subgroups.
The subgroup lattice has 374 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. Dic47⋊#95 | C2 | semidirect |
| 11. C2×#13093980 | C4 | semidirect |
| 13. C22×Dic47⋊C4 | C4 | semidirect |
| 41. C2×Dic47⋊C4 | C2×C4 | semidirect |
| 47. C2×C4×Dic47 | C2×C4 | semidirect |
| 146. C2×Dic47 | #95 | semidirect |
| 209. C47 | #13795 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13093980 | 2 |
| C23×Dic47⋊C4 | 2 |
| Dic47⋊#95 | 2 |
| #20241611 | 2 |
| #20241610 | 2 |
| C47×C22⋊#95 | 2 |
| #13795 | 47 |