Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
196 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 51 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. #13117087 | C2 | semidirect |
| 5. #13113033 | C2 | semidirect |
| 6. #13113028 | C2 | semidirect |
| 7. C13×#1420 | C2 | semidirect |
| 73. #1420 | D13 | semidirect |
| 160. C13 | #13693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117156 | 2 |
| #13117154 | 2 |
| #13117087 | 2 |
| #13116716 | 2 |
| #13113033 | 2 |
| #13113028 | 2 |
| C13×#1420 | 2 |
| #13693 | 13 |