Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2110 conjugacy classes of subgroups.
The subgroup lattice has 492 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13114562 | C2 | direct (N × H) |
| 4. C2×#11718150 | C2 | semidirect |
| 28. #11718150 | C22 | semidirect |
| 322. C2×C13 | #1738 | semidirect |
| 396. C13 | C2×#1738 | semidirect |
| 488. C2 | #13114562 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#6099 | 2 |
| #13114562 | 2 |
| C2×#11718150 | 2 |
| C23×C13×M16 | 2 |
| C2×#1738 | 13 |