Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
562 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 562 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 1. #13131017 | C2 | semidirect |
| 4. #13130963 | C2 | semidirect |
| 5. #13130757 | C2 | semidirect |
| 6. #13130030 | C2 | semidirect |
| 17. C13×#486 | C4 | semidirect |
| 18. #11718749 | C4 | semidirect |
| 19. #11718731 | C4 | semidirect |
| 22. #11718355 | C4 | semidirect |
| 181. #486 | #261 | semidirect |
| 323. C13 | #9838 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131017 | 2 |
| #13130964 | 2 |
| #13130963 | 2 |
| #13130757 | 2 |
| #13130030 | 2 |
| D13×#486 | 2 |
| #9838 | 13 |