Order 12032.
1302 conjugacy classes of subgroups.
The subgroup lattice has 350 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #20244350 | C2 | semidirect |
| 4. #20244341 | C2 | semidirect |
| 23. C2×C4⋊Q8×C47 | C4 | semidirect |
| 185. C2×C4⋊Q8 | Dic47 | semidirect |
| 203. C47 | #21833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689176 | 2 |
| #20245795 | 2 |
| #20244350 | 2 |
| #20244341 | 2 |
| #20243474 | 2 |
| C22×C4⋊Q8×C47 | 2 |
| #21833 | 47 |