Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
380 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 82 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. #13131192 | C2 | semidirect |
| 4. #13130956 | C2 | semidirect |
| 5. #13129895 | C2 | semidirect |
| 6. #13129892 | C2 | semidirect |
| 25. C13×#362 | C4 | semidirect |
| 26. #11718157 | C4 | semidirect |
| 27. #11718108 | C4 | semidirect |
| 28. #11718087 | C4 | semidirect |
| 168. #362 | #261 | semidirect |
| 276. C13 | #12942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131616 | 2 |
| #13131192 | 2 |
| C2×#11718281 | 2 |
| #13130956 | 2 |
| #13129895 | 2 |
| #13129892 | 2 |
| #13116584 | 2 |
| #12942 | 13 |