Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
644 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13114772 | C2 | semidirect |
| 3. #13114759 | C2 | semidirect |
| 5. #13112741 | C2 | semidirect |
| 6. #13112713 | C2 | semidirect |
| 27. #11718711 | C4 | semidirect |
| 29. #11718701 | C4 | semidirect |
| 410. C13 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124069 | 2 |
| #13114772 | 2 |
| #13114759 | 2 |
| #13113379 | 2 |
| #13112741 | 2 |
| #13112713 | 2 |
| C13×#2976 | 2 |
| #9519 | 13 |