Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
384 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13117092 | C2 | semidirect |
| 3. #13116887 | C2 | semidirect |
| 4. #13114201 | C2 | semidirect |
| 5. #13112883 | C2 | semidirect |
| 6. #13112801 | C2 | semidirect |
| 7. C13×D4⋊C16 | C2 | semidirect |
| 101. D4⋊C16 | D13 | semidirect |
| 239. C13 | #12321 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126596 | 2 |
| #13117092 | 2 |
| #13116887 | 2 |
| #13114201 | 2 |
| #13112883 | 2 |
| #13112801 | 2 |
| C13×D4⋊C16 | 2 |
| #12321 | 13 |