Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1100 conjugacy classes of subgroups.
The subgroup lattice has 522 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #20244378 | C2 | semidirect |
| 4. #20244233 | C2 | semidirect |
| 6. C4×#13093943 | C2 | semidirect |
| 213. C2×C4×C47 | #101 | semidirect |
| 301. C47 | #21425 | semidirect |
| 474. C2×C4 | #13093943 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252021 | 2 |
| C2×C4×#10625329 | 2 |
| #20244378 | 2 |
| #20244233 | 2 |
| #20243857 | 2 |
| C4×#13093943 | 2 |
| C2×C47×#533 | 2 |
| #21425 | 47 |