Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2238 conjugacy classes of subgroups.
The subgroup lattice has 510 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#11718273 | C2 | direct (N × H) |
| 28. #11718273 | C22 | direct (N × H) |
| 250. C22×C13 | #341 | semidirect |
| 261. C2×D13 | #341 | semidirect |
| 331. C2×C13 | C2×#341 | semidirect |
| 335. D13 | C2×#341 | semidirect |
| 412. C13 | C22×#341 | semidirect |
| 489. C22 | #11718273 | direct (N × H) |
| 507. C2 | C2×#11718273 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D13⋊M16 | 2 |
| C23×D13⋊C8 | 2 |
| C2×#11718273 | 2 |
| C22×M16×D13 | 2 |
| C22×#341 | 13 |