Order 12032.
1386 conjugacy classes of subgroups.
The subgroup lattice has 666 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #20241753 | C2 | semidirect |
| 4. #20241751 | C2 | semidirect |
| 5. #20241717 | C2 | semidirect |
| 30. #15688848 | C22 | semidirect |
| 371. C47 | #17397 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13094003 | 2 |
| C2×#15689087 | 2 |
| #20241753 | 2 |
| #20241751 | 2 |
| #20241717 | 2 |
| C2×C47×#407 | 2 |
| #17397 | 47 |