Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1012 conjugacy classes of subgroups; only the 208 normal subgroups are shown.
This group has 1012 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. #13131687 | C2 | semidirect |
| 2. #13130112 | C2 | semidirect |
| 3. #13130101 | C2 | semidirect |
| 4. #13130096 | C2 | semidirect |
| 5. #13130089 | C2 | semidirect |
| 305. C13 | #17408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131687 | 2 |
| #13130112 | 2 |
| #13130101 | 2 |
| #13130096 | 2 |
| #13130089 | 2 |
| C2×#11719424 | 2 |
| #17408 | 13 |