Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
2190 conjugacy classes of subgroups.
The subgroup lattice has 374 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #20243127 | C2 | direct (N × H) |
| 3. C2×#15688892 | C2 | semidirect |
| 8. C22×#10625329 | C4 | semidirect |
| 12. #15688892 | C22 | semidirect |
| 29. C2×#10625329 | C2×C4 | semidirect |
| 188. C2×C47 | #1742 | semidirect |
| 208. C47 | C2×#1742 | semidirect |
| 370. C2 | #20243127 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#10625329 | 2 |
| #20243127 | 2 |
| C2×#15688892 | 2 |
| C22×#117×C47 | 2 |
| C2×#1742 | 47 |