Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1194 conjugacy classes of subgroups; only the 235 normal subgroups are shown.
This group has 1194 conjugacy classes of subgroups — too many to draw. Only its 235 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. #13123471 | C2 | semidirect |
| 3. #13115682 | C2 | semidirect |
| 4. #13115678 | C2 | semidirect |
| 6. #13114759 | C2 | semidirect |
| 281. C13 | #21802 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719530 | 2 |
| #13123471 | 2 |
| #13115682 | 2 |
| #13115678 | 2 |
| #13114764 | 2 |
| #13114759 | 2 |
| C13×#1785 | 2 |
| #21802 | 13 |