Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
334 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 10. #11718360 | C4 | semidirect |
| 12. C4×Dic52 | C4 | semidirect |
| 13. #11718343 | C4 | semidirect |
| 196. C13 | #11857 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125422 | 2 |
| #13116635 | 2 |
| #13112847 | 2 |
| C13×#1834 | 2 |
| #11857 | 13 |