Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1026 conjugacy classes of subgroups.
The subgroup lattice has 524 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #20241843 | C2 | semidirect |
| 4. #20241817 | C2 | semidirect |
| 5. #20241791 | C2 | semidirect |
| 21. Q8⋊(C47⋊C8) | C22 | semidirect |
| 300. C47 | #17486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689176 | 2 |
| C2×#15689147 | 2 |
| #20241843 | 2 |
| #20241817 | 2 |
| #20241791 | 2 |
| C2×C47×#533 | 2 |
| #17486 | 47 |