Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
372 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 84 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. #13130760 | C2 | semidirect |
| 3. #13130413 | C2 | semidirect |
| 5. #13129722 | C2 | semidirect |
| 6. #13129668 | C2 | semidirect |
| 272. C13 | #8901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131767 | 2 |
| #13130760 | 2 |
| #13130413 | 2 |
| #13130172 | 2 |
| #13129722 | 2 |
| #13129668 | 2 |
| #13113215 | 2 |
| #8901 | 13 |