Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 412 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 |
|---|---|---|
| 3. #13130414 | C2 | semidirect |
| 4. #13130413 | C2 | semidirect |
| 5. #13129663 | C2 | semidirect |
| 6. #13129663 | C2 | semidirect |
| 25. C13×#333 | C4 | semidirect |
| 26. #11718138 | C4 | semidirect |
| 27. #11718077 | C4 | semidirect |
| 28. #11718077 | C4 | semidirect |
| 165. #333 | #261 | semidirect |
| 265. C13 | #8934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131719 | 2 |
| #13130969 | 2 |
| #13130414 | 2 |
| #13130413 | 2 |
| #13129663 | 2 |
| #13113497 | 2 |
| #8934 | 13 |