Order 12032.
1342 conjugacy classes of subgroups.
The subgroup lattice has 388 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 12. #15688969 | C4 | semidirect |
| 105. C42×C47 | C4⋊C4 | semidirect |
| 221. C47 | #13952 | semidirect |
| 301. C42 | Dic47⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688991 | 2 |
| C2×#15688969 | 2 |
| #20241651 | 2 |
| #20241647 | 2 |
| #20241621 | 2 |
| Dic47⋊#95 | 2 |
| #20241614 | 2 |
| C2×C4×C4⋊C4×C47 | 2 |
| #13952 | 47 |