Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups.
The subgroup lattice has 368 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13114585 | C2 | semidirect |
| 2. C4×#88043 | C2 | semidirect |
| 4. #13112717 | C2 | semidirect |
| 21. #11718132 | C4 | semidirect |
| 56. #88043 | C2×C4 | semidirect |
| 57. #88043 | C2×C4 | semidirect |
| 287. C13 | #8226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114585 | 2 |
| C4×#88043 | 2 |
| C2×#11718132 | 2 |
| #13112717 | 2 |
| C4×C13×#124 | 2 |
| #8226 | 13 |