Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
434 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 101 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#11718157 | C2 | semidirect |
| 5. #13116440 | C2 | semidirect |
| 6. #13114959 | C2 | semidirect |
| 7. C13×#2141 | C2 | semidirect |
| 14. #11718852 | C4 | semidirect |
| 16. #11718842 | C4 | semidirect |
| 122. #2141 | D13 | semidirect |
| 285. C13 | #13216 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125325 | 2 |
| C2×#11718157 | 2 |
| #13116571 | 2 |
| #13116565 | 2 |
| #13116440 | 2 |
| #13114959 | 2 |
| C13×#2141 | 2 |
| #13216 | 13 |