Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups.
The subgroup lattice has 352 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13130383 | C2 | semidirect |
| 2. C2×#11718254 | C2 | semidirect |
| 4. #13129682 | C2 | semidirect |
| 28. C13×#131 | C8 | semidirect |
| 198. #131 | #1057 | semidirect |
| 287. C13 | #8605 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130383 | 2 |
| C2×#11718254 | 2 |
| #13130131 | 2 |
| #13129682 | 2 |
| #131×Dic13 | 2 |
| #8605 | 13 |