Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
422 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 422 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 |
|---|---|---|
| 3. C2×#11718109 | C2 | semidirect |
| 4. C2×#11718088 | C2 | semidirect |
| 5. #13115627 | C2 | semidirect |
| 6. #13112923 | C2 | semidirect |
| 286. C13 | #13418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125331 | 2 |
| #13116585 | 2 |
| C2×#11718109 | 2 |
| C2×#11718088 | 2 |
| #13115627 | 2 |
| #13112923 | 2 |
| C13×#2143 | 2 |
| #13418 | 13 |