Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
941 conjugacy classes of subgroups.
The subgroup lattice has 305 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #10589168 | C2 | semidirect |
| 13. C2×C3×#208 | C4 | semidirect |
| 61. C2×#208 | Dic3 | semidirect |
| 252. C32 | #1742 | semidirect |
| 298. C3 | #71987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64135 | 2 |
| C22×C3×#208 | 2 |
| #10589168 | 2 |
| #71987 | 3 |