Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
3274 conjugacy classes of subgroups; only the 411 normal subgroups are shown.
This group has 3274 conjugacy classes of subgroups — too many to draw. Only its 411 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. C2×#11718908 | C2 | semidirect |
| 2. #13113085 | C2 | semidirect |
| 3. #13113077 | C2 | semidirect |
| 8. C2×C13×#120 | C4 | semidirect |
| 11. C22×C22⋊Dic13 | C22 | semidirect |
| 13. C2×#88071 | C22 | semidirect |
| 40. C24×C13 | C22⋊C4 | semidirect |
| 90. C2×#120 | Dic13 | semidirect |
| 141. C24 | C22⋊Dic13 | semidirect |
| 158. C13 | #14657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718908 | 2 |
| #13113085 | 2 |
| #13113077 | 2 |
| C22×C13×#120 | 2 |
| #14657 | 13 |