Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
566 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 152 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. #13129712 | C2 | semidirect |
| 9. #11719130 | C4 | semidirect |
| 11. #11719128 | C4 | semidirect |
| 252. C13 | #8032 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719130 | 2 |
| C2×#11719128 | 2 |
| #13129712 | 2 |
| #13117231 | 2 |
| #8032 | 13 |