Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
848 conjugacy classes of subgroups; only the 208 normal subgroups are shown.
This group has 848 conjugacy classes of subgroups — too many to draw. Only its 208 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. #13131735 | C2 | semidirect |
| 3. #13130110 | C2 | semidirect |
| 4. #13130100 | C2 | semidirect |
| 270. C13 | #17410 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131735 | 2 |
| #13130119 | 2 |
| #13130110 | 2 |
| #13130100 | 2 |
| #13130089 | 2 |
| C2×#11719402 | 2 |
| #17410 | 13 |