Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13113625 | C2 | semidirect |
| 4. #13113624 | C2 | semidirect |
| 6. #13112669 | C2 | semidirect |
| 7. C13×#1276 | C2 | semidirect |
| 21. #11718077 | C4 | semidirect |
| 22. #11718077 | C4 | semidirect |
| 23. #11718073 | C4 | semidirect |
| 24. #11718073 | C4 | semidirect |
| 110. #1276 | D13 | semidirect |
| 265. C13 | #8935 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123902 | 2 |
| #13115664 | 2 |
| #13113625 | 2 |
| #13113624 | 2 |
| #13113496 | 2 |
| #13112669 | 2 |
| C13×#1276 | 2 |
| #8935 | 13 |