Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
558 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13123554 | C2 | semidirect |
| 3. #13115659 | C2 | semidirect |
| 4. #13113503 | C2 | semidirect |
| 5. #13112694 | C2 | semidirect |
| 6. #13112666 | C2 | semidirect |
| 7. C13×#1517 | C2 | semidirect |
| 14. #11718749 | C4 | semidirect |
| 15. #11718734 | C4 | semidirect |
| 119. C2×#1055 | D8 | semidirect |
| 124. #1517 | D13 | semidirect |
| 314. C13 | #9293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125751 | 2 |
| #13123554 | 2 |
| #13115659 | 2 |
| #13113503 | 2 |
| #13112694 | 2 |
| #13112666 | 2 |
| C13×#1517 | 2 |
| #9293 | 13 |