Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 74 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. #13131743 | C2 | semidirect |
| 2. #13130358 | C2 | semidirect |
| 5. #13129700 | C2 | semidirect |
| 6. #13129692 | C2 | semidirect |
| 323. C13 | #9372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131743 | 2 |
| #13130358 | 2 |
| #13130325 | 2 |
| #13130142 | 2 |
| #13129700 | 2 |
| #13129692 | 2 |
| #13126029 | 2 |
| #9372 | 13 |