Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. #13117941 | C2 | semidirect |
| 3. #13113462 | C2 | semidirect |
| 5. #13112729 | C2 | semidirect |
| 6. #13112728 | C2 | semidirect |
| 14. #11718743 | C4 | semidirect |
| 15. #11718732 | C4 | semidirect |
| 310. C13 | #9442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125236 | 2 |
| #13117941 | 2 |
| #13113462 | 2 |
| #13113344 | 2 |
| #13112729 | 2 |
| #13112728 | 2 |
| C13×#1505 | 2 |
| #9442 | 13 |