Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 98 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. #13130947 | C2 | semidirect |
| 4. #13130629 | C2 | semidirect |
| 5. #13129715 | C2 | semidirect |
| 6. #13129665 | C2 | semidirect |
| 23. C13×#331 | C4 | semidirect |
| 24. #11718136 | C4 | semidirect |
| 25. #11718077 | C4 | semidirect |
| 26. #11718077 | C4 | semidirect |
| 204. #331 | #261 | semidirect |
| 339. C13 | #9563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131003 | 2 |
| #13130964 | 2 |
| #13130947 | 2 |
| #13130629 | 2 |
| #13129715 | 2 |
| #13129665 | 2 |
| D13×#331 | 2 |
| #9563 | 13 |