Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 78 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. #13130788 | C2 | semidirect |
| 4. #13130784 | C2 | semidirect |
| 5. #13129717 | C2 | semidirect |
| 6. #13129677 | C2 | semidirect |
| 27. C13×#328 | C4 | semidirect |
| 28. #11718130 | C4 | semidirect |
| 29. #11718062 | C4 | semidirect |
| 30. #11718043 | C4 | semidirect |
| 210. #328 | #261 | semidirect |
| 351. C13 | #8874 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131706 | 2 |
| #13130817 | 2 |
| #13130788 | 2 |
| #13130784 | 2 |
| #13129717 | 2 |
| #13129677 | 2 |
| #13113326 | 2 |
| #8874 | 13 |