Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2110 conjugacy classes of subgroups.
The subgroup lattice has 508 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13130530 | C2 | direct (N × H) |
| 4. C2×#11718268 | C2 | semidirect |
| 29. #11718268 | C22 | semidirect |
| 330. C2×C13 | #1738 | semidirect |
| 411. C13 | C2×#1738 | semidirect |
| 504. C2 | #13130530 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#6118 | 2 |
| C22×D13⋊M16 | 2 |
| #13130530 | 2 |
| C2×#11718268 | 2 |
| C22×M16×D13 | 2 |
| C2×#1738 | 13 |