Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2638 conjugacy classes of subgroups.
The subgroup lattice has 304 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13113098 | C2 | direct (N × H) |
| 8. C2×C13×#95 | C4 | semidirect |
| 35. C13×#95 | C2×C4 | semidirect |
| 132. C2×#95 | Dic13 | semidirect |
| 180. #95 | C2×Dic13 | semidirect |
| 181. C2×C13 | #1443 | semidirect |
| 231. C13 | C2×#1443 | semidirect |
| 295. C2 | #13113098 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88071 | 2 |
| #13113098 | 2 |
| C22×C13×#95 | 2 |
| C2×#1443 | 13 |