Order 12032.
2606 conjugacy classes of subgroups.
The subgroup lattice has 378 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #20241614 | C2 | semidirect |
| 6. #95×Dic47 | C2 | semidirect |
| 12. C22×C4×Dic47 | C4 | semidirect |
| 16. #15688984 | C4 | semidirect |
| 48. C47⋊#95 | C2×C4 | semidirect |
| 93. C22×Dic47 | C42 | semidirect |
| 180. Dic47 | #381 | semidirect |
| 212. C47 | C4×#381 | 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×#15688984 | 2 |
| C2×C22⋊C4×Dic47 | 2 |
| #20241614 | 2 |
| #20241611 | 2 |
| #95×Dic47 | 2 |
| C47×C22⋊#95 | 2 |
| C4×#381 | 47 |