Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
578 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13117438 | C2 | semidirect |
| 4. C2×#11718061 | C2 | semidirect |
| 5. #13112704 | C2 | semidirect |
| 6. #13112703 | C2 | semidirect |
| 13. #11718883 | C4 | semidirect |
| 18. #11718641 | C4 | semidirect |
| 349. C13 | #9206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13120580 | 2 |
| #13117438 | 2 |
| #13113404 | 2 |
| C2×#11718061 | 2 |
| #13112704 | 2 |
| #13112703 | 2 |
| C13×#1519 | 2 |
| #9206 | 13 |