Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
196 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 53 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. #13117087 | C2 | semidirect |
| 4. #13113033 | C2 | semidirect |
| 5. #13113030 | C2 | semidirect |
| 6. #13113029 | C2 | semidirect |
| 160. C13 | #13693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117153 | 2 |
| #13117087 | 2 |
| #13116717 | 2 |
| #13113033 | 2 |
| #13113030 | 2 |
| #13113029 | 2 |
| C13×#2264 | 2 |
| #13693 | 13 |