Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
360 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13125364 | C2 | semidirect |
| 4. #13112943 | C2 | semidirect |
| 5. #13112938 | C2 | semidirect |
| 6. #13112923 | C2 | semidirect |
| 30. C2×C13×Q16 | Q8 | semidirect |
| 32. C2×C13×D8 | Q8 | semidirect |
| 181. C2×Q16 | Dic26 | semidirect |
| 183. C2×D8 | Dic26 | semidirect |
| 262. C13 | #13374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125364 | 2 |
| #13116572 | 2 |
| #13115735 | 2 |
| #13112943 | 2 |
| #13112938 | 2 |
| #13112923 | 2 |
| C2×C13×#360 | 2 |
| #13374 | 13 |