Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. #13125368 | C2 | semidirect |
| 5. #13112941 | C2 | semidirect |
| 6. #13112923 | C2 | semidirect |
| 7. C13×#1384 | C2 | semidirect |
| 32. C2×Dic52 | Q8 | semidirect |
| 37. C2×D104 | Q8 | semidirect |
| 112. #1384 | D13 | semidirect |
| 262. C13 | #13374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125368 | 2 |
| #13116571 | 2 |
| C2×#11718110 | 2 |
| #13115732 | 2 |
| #13112941 | 2 |
| #13112923 | 2 |
| C13×#1384 | 2 |
| #13374 | 13 |