Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
722 conjugacy classes of subgroups.
The subgroup lattice has 372 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13129712 | C2 | semidirect |
| 11. #11719130 | C4 | semidirect |
| 13. C4×#6122 | C4 | semidirect |
| 51. #88110 | C2×C4 | semidirect |
| 52. #88110 | C2×C4 | semidirect |
| 292. C13 | #8033 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719130 | 2 |
| C2×C4×#6122 | 2 |
| #13129712 | 2 |
| C2×#11718638 | 2 |
| #8033 | 13 |