Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
214 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 3. #13114445 | C2 | semidirect |
| 5. #13112899 | C2 | semidirect |
| 6. #13112892 | C2 | semidirect |
| 7. C13×#1365 | C2 | semidirect |
| 72. #1365 | D13 | semidirect |
| 169. C13 | #12501 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116980 | 2 |
| #13116974 | 2 |
| #13114445 | 2 |
| #13113720 | 2 |
| #13112899 | 2 |
| #13112892 | 2 |
| C13×#1365 | 2 |
| #12501 | 13 |